Answer: The bike cost $ 329
Step-by-step explanation:
1. Ist sentence
The local bike shop sells a bike and accessories package for $376.
Let the cost of one bike be $b
Let the cost of the accessories be $a
b + a = 376 .........…...... eqn(1)
2. Second sentence.
If the bike is worth 7 times more than the accessories.
Equation;
b = 7a
3. Substitute b into eqn 1
7a + a = 376
8a = 376
a = 376/8
a= 47
b= 7a = 7× 47 = 329
Therefore The bike cost $ 329
40% of the memberships sold by Gym A were gold memberships.
25% of the memberships sold by Gym B were gold memberships.
Which statement must be true?
Answer:
a) If both gyms sold 80 total memberships, Gym A sold 12 more gold membership.
Step-by-step explanation:
Here is the complete question: 40% of the memberships sold by Gym A were gold memberships. 25% of the memberships sold by Gym B were gold memberships.
Which statement must be true?
a) If both gyms sold 80 total memberships, Gym A sold 12 more gold membership.
b) If both gyms sold the same number of memberships, Gym A sold 15 more gold membership.
c) Gym A sold more gold membership than Gym A did.
d) If Gym B sold 50 membership, 25 would be gold memberships.
Given: Gym A have sold 40% gold membership of total membership.
Gym B have sold 25% gold membership of total membership.
Lets take option A first to find if it is true statement.
As per option A, There are total number of membership is 80.
∵ Gym A has sold 40% gold membership.
∴ Gym A gold membership= [tex]40\% \times 80[/tex]
⇒ Gym A gold membership= [tex]\frac{40}{100} \times 80= 32 member.[/tex]
∴ Gym A gold membership= 32.
Now, Gym B
∵ Gym B has sold 25% gold membership.
∴ Gym B gold membership= [tex]25\% \times 80[/tex]
⇒ Gym B gold membership= [tex]\frac{25}{100} \times 80=20 member.[/tex]
∴ Gym B gold membership= 20.
Next finding difference gold membership for Gym A and Gym B
[tex]32-20= 12 \ membership[/tex]
Hence, we can say option A is correct as Gym A have sold 12 more gold membership, if total number of membership sold by both Gym is 80.
Answer:maybve
Step-by-step explanation:
no
Prime factorization of 1408
Answer:
There are 7 copies of 2 and 1 copy of 11 in the product:
1408 = 2^7×11
Step-by-step explanation:
Factor the following integer:
1408
The last digit of 1408 is 8, which means it is even. Therefore 1408 is divisible by 2:
1408 = 2 704:
1408 = 2×704
The last digit of 704 is 4, which means it is even. Therefore 704 is divisible by 2:
704 = 2 352:
1408 = 2×2×352
The last digit of 352 is 2, which means it is even. Therefore 352 is divisible by 2:
352 = 2 176:
1408 = 2×2×2×176
The last digit of 176 is 6, which means it is even. Therefore 176 is divisible by 2:
176 = 2 88:
1408 = 2×2×2×2×88
The last digit of 88 is 8, which means it is even. Therefore 88 is divisible by 2:
88 = 2 44:
1408 = 2×2×2×2×2×44
The last digit of 44 is 4, which means it is even. Therefore 44 is divisible by 2:
44 = 2 22:
1408 = 2×2×2×2×2×2×22
The last digit of 22 is 2, which means it is even. Therefore 22 is divisible by 2:
22 = 2 11:
1408 = 2×2×2×2×2×2×2×11
11 is not divisible by 2 since 11 is odd and 2 is even:
1408 = 2×2×2×2×2×2×2×11 (11 is not divisible by 2)
The sum of the digits of 11 is 1 + 1 = 2, which is not divisible by 3. This means 11 is not divisible by 3:
1408 = 2×2×2×2×2×2×2×11 (11 is not divisible by 2 or 3)
The last digit of 11 is not 5 or 0, which means 11 is not divisible by 5:
1408 = 2×2×2×2×2×2×2×11 (11 is not divisible by 2, 3 or 5)
Divide 7 into 11:
| | 1 | (quotient)
7 | 1 | 1 |
- | | 7 |
| | 4 | (remainder)
11 is not divisible by 7:
1408 = 2×2×2×2×2×2×2×11 (11 is not divisible by 2, 3, 5 or 7)
No primes less than 11 divide into it. Therefore 11 is prime:
1408 = 2×2×2×2×2×2×2×11
There are 7 copies of 2 and 1 copy of 11 in the product:
Answer: 1408 = 2^7×11
Final answer:
The prime factorization of 1408 is 2 raised to the power of 7 multiplied by 11, represented as 2^7 × 11. This is found by repeatedly dividing 1408 by 2 until we are left with the prime number 11, which cannot be divided further.
Explanation:
The prime factorization of 1408 involves breaking down the number into its prime factors until all the factors are prime numbers. To find the prime factors of 1408, we can use a factor tree or the method of division. We can start by dividing 1408 by the smallest prime number that divides it evenly, which is 2. If we keep dividing by 2, we get the following sequence of divisions:
1408 ÷ 2 = 704
704 ÷ 2 = 352
352 ÷ 2 = 176
176 ÷ 2 = 88
88 ÷ 2 = 44
44 ÷ 2 = 22
22 ÷ 2 = 11
Since 11 is a prime number, we cannot divide any further. Therefore, the prime factorization of 1408 is 27 × 11, since 2 was divided 7 times and 11 is the last prime factor found.
7=x+3. What is being done to the variable?
Step-by-step explanation: If you take a look at the right side of the equation, a 3 is being added to our variable x.
If you were going to solve this equation, you must subtract 3 from the right side and the left side to isolate our variable.
You would end up with 4 = x.
While on a business trip to Summerfield, Vera treated her co-workers to a meal that cost
$12. Vera knew that when the bill came, she would need to pay Summerfield sales tax of
11.75% and would want to leave a 15% tip on the original $12. Including tax and tip, how
much did Vera's meal cost?
Answer:
$15.21
Step-by-step explanation:
The tax and tip percentages are both being figured on the original bill amount, so they can be added. The tax and tip together come to ...
11.75% +15% = 26.75%
This is added to the original bill amount, so the final total will be ...
$12 + $12×0.2675 = $12×1.2675 = $15.21
Vera's meal cost $15.21.
Estimate each quotient by rounding the dividend and the divisor to the largest place value. 22528 divided by 98
Answer:225.28
Step-by-step explanation: 98 become 100 and 22528 stays the same.
A light bulb consumes 5280 watt hours in 5 days and 12 hours, How many watt-hours does it consume per day?
Il watt-hours per day
|
*
$
?
The correct answer is:
The light bulb consumes 1056 watt-hours per day, calculated by dividing the total watt-hours by the total number of days.
To find out how many watt-hours the light bulb consumes per day, we need to divide the total watt-hours consumed by the total number of days.
Given:
- Total watt-hours consumed = 5280 watt-hours
- Total time = 5 days and 12 hours
First, let's convert the total time to hours:
[tex]\[ \text{Total time} = 5 \times 24 \text{ hours} + 12 \text{ hours} = 120 + 12 = 132 \text{ hours} \][/tex]
Now, we can calculate the watt-hours consumed per day:
[tex]\[ \text{Watt-hours per day} = \frac{\text{Total watt-hours}}{\text{Total number of days}} \]\[ \text{Watt-hours per day} = \frac{5280 \text{ watt-hours}}{5 \text{ days}} \]\[ \text{Watt-hours per day} = \frac{5280}{5} \text{ watt-hours} \]\[ \text{Watt-hours per day} = 1056 \text{ watt-hours} \][/tex]
So, the light bulb consumes 1056 watt-hours per day.
Solve the following inequality.
9x−2>43
Answer:
x > 5
Step-by-step explanation:
Given
9x - 2 > 43 ( add 2 to both sides )
9x > 45 ( divide both sides by 9 )
x > 5
The solution to the inequality (9x - 2 > 43) is (x > 5).
To solve the inequality (9x - 2 > 43), follow these steps:
1. Add 2 to both sides of the inequality to isolate the term with x on one side:
[tex]\[ 9x - 2 + 2 > 43 + 2 \] \[ 9x > 45 \][/tex]
2. Divide both sides of the inequality by 9 to solve for x:
[tex]\[ \frac{9x}{9} > \frac{45}{9} \] \[ x > 5 \][/tex]
This means that any value of x greater than 5 will satisfy the original inequality. The solution set is all real numbers greater than 5.
m
m< B = 80 + x
m< C=110 - 3x
m
Quadrilateral ABCD is a parallelogram if both pairs of opposite angles are equal. Prove that Quadrilateral ABCD is
a parallelogram by finding the value of x.
Answer:
[tex]x=5[/tex]
Step-by-step explanation:
The complete question is
m ∠ A = 100 - x
m ∠ B = 80 + x
m ∠ C = 110 - 3x
m ∠ D = 75 + 2x
Quadrilateral ABCD is a parallelogram if both pairs of opposite angles are equal. Prove that Quadrilateral ABCD is a parallelogram by finding the value of x.
Options
A) x = 5
B) x = 7
C) x = 10
D) x = 15/2
we know that
In a parallelogram, opposite angles are parallel and consecutive angles are supplementary
so
m ∠ A=m ∠ C
m ∠ B=m ∠ D
m ∠ A+m ∠ B=180°
m ∠ B+m ∠ C=180°
step 1
Find the value of x
we know that
m ∠ A=m ∠ C
substitute the given values
[tex](100-x)^o=(110-3x)^o[/tex]
solve for x
Group terms
[tex]3x-x=110-100[/tex]
Combine like terms
[tex]2x=10[/tex]
[tex]x=5[/tex]
step 2
Verify the measure of the angles
[tex]m\angle A=100-5=95^o[/tex]
[tex]m\angle B=80+5=85^o[/tex]
[tex]m\angle C=110-3(5)=95^o[/tex]
[tex]m\angle D=75+2(5)=85^o[/tex]
therefore
[tex]m\angle A=m\angle C[/tex] ---> is ok
[tex]m\angle B=m\angle D[/tex] ---> is ok
[tex]m\angle A+m\angle B=180^o[/tex] ---> is ok
[tex]m\angle B+m\angle C=180^o[/tex] ---> is ok
The sides of the base of this square right prism are 16 centimeters each and the height of the prism is 10 centimeters. What is the surface area of the prism? A.964 B.1000 C.1152 D.1232
The width (W) of the prism is 16 cm.
The length (L) of the prism is 16 cm.
The height (H) of the prism is 10 cm.
The formula for the surface area of any right prism with width W, length L, and height H is the following:
A = 2 (WL + LH + WH)
Substituting using our given values changes the equation to:
A = 2 (16*16 + 16*10 + 16*10)
= 2 (256 + 160 + 160) = 2 (576)
= 1152
Thus, the surface area is 1152 cm².
Let me know if you need any clarifications, thanks!
Answer:
1152
Step-by-step explanation:
What is the range of the function f(x) = –2|x + 1|?
all real numbers
all real numbers less than or equal to 0
all real numbers less than or equal to 1
all real numbers greater than or equal to 1
Answer:
Range [tex]\rightarrow[/tex] all real numbers less than or equal to 0 [tex]\rightarrow[/tex] ( - ∞ , 0 ]
Step-by-step explanation:
For visual understanding a graph of the function is attached with the answer.
For calculating the range of any modulus function you need to know that if modulus is there across any function then the output will be always positive.For example: x has a range of ( - ∞ , + ∞ ) but |x| has a range of [ 0 , + ∞ ). Similarly range of |x + 1| is [ 0 , + ∞ ).
If you multiply the modulus function with a negative sign then the output will always be negative.For example: Range of |x| is [ 0 , + ∞ ) but range of -|x| is ( - ∞ , 0 ]. Similarly range of -|x + 1| is ( - ∞ , 0 ]
Range in this case won't be affected on multiplying a positive constant with the modulus function.Therefore the range of f(x) = -2|x + 1| will be ( - ∞ , 0 ].
(NOTE : [a,b] means all the numbers between 'a' and 'b' including 'a' and 'b'.
(a,b) means all the numbers between 'a' and 'b' excluding 'a' and 'b'.
(a,b] means all the numbers between 'a' and 'b' including only 'b' not 'a'.
[a,b) means all the numbers between 'a' and 'b' including only 'a' not 'b'.
{a,b} means only 'a' and 'b'.
{a,b] or (a,b} doesn't mean anything. )
Answer:
B
Step-by-step explanation:
all real numbers less than or equal to 0
What is 3and 2 fiths subtract 5 eighths
Answer:
111/40
Step-by-step explanation:
3 2/5=17/5
17/5-5/8=111/40
Identify corresponding sides RGK=MQB
Final answer:
In geometry, corresponding sides are sides that have the same relative position in two similar figures. To identify the corresponding sides in the given question, we need to find the sides with the same position in the figures RGK and MQB. The corresponding sides of RGK and MQB are RG = MQ, RK = MB, and GK = QB.
Explanation:
In geometry, corresponding sides are sides that have the same relative position in two similar figures. To identify the corresponding sides in the given question, we need to find the sides with the same position in the figures RGK and MQB.
In this case, RGK and MQB are both triangles, so we need to compare their corresponding sides. The corresponding sides of a triangle are the sides that are in the same position (opposite vertices) in the two triangles.
Therefore, the corresponding sides of RGK and MQB are:
RG = MQ
RK = MB
GK = QB
If cos x = sin(20 + x) ° and 0°
Answer:
x = 35°
Step-by-step explanation:
The question is as following
cos x = sin(20 + x)° and 0° < x < 90° , find X?
==============================================
cos x = sin(20 + x)°
sin and cos are co-functions,
which means that: cos x = cos [90 - (20 + x)]
∴ x = 70 - x
∴ 2x = 70
∴ x = 35°
======================
Note: cos θ = sin ( 90 - θ )
Answer:
x = 35°
Step-by-step explanation:
The question is as following
cos x = sin(20 + x)° and 0° < x < 90° , find X?
==============================================
cos x = sin(20 + x)°
sin and cos are co-functions,
which means that: cos x = cos [90 - (20 + x)]
∴ x = 70 - x
∴ 2x = 70
∴ x = 35°
======================
Note: cos θ = sin ( 90 - θ )
Which function has a domain of x 25 and a range of y s3?
g= x-5+3
9 = x+5 -3
y=-x-5+3
y=-x+5 -3
Answer:
[tex]y = - \sqrt{x - 5} + 3[/tex]
Step-by-step explanation:
The function [tex]y = - \sqrt{x - 5} + 3[/tex] has a domain x ≥ 5.
This is because the function remains real for (x - 5) ≥ 0 as negative within the square root is imaginary.
Hence, (x - 5) ≥ 0
⇒ x ≥ 5
Now, for all x values that are greater than equal to 5 the value of [tex]- \sqrt{x - 5}[/tex] will be negative.
So, [tex]- \sqrt{x - 5} \leq 0[/tex]
⇒ [tex]- \sqrt{x - 5} + 3 \leq 3[/tex]
⇒ y ≤ 3
Therefore, the range of the function is y ≤ 3. (Answer)
The perimeter of a triangle is 40 inches. Twice the length of the longest side minus the length of the shorted side in 30 inches. The sum of the length of the longest side and twice the sun of both the other side lengths is 61 inches. Find the side lengths
9514 1404 393
Answer:
8 inches, 13 inches, 19 inches
Step-by-step explanation:
Let's identify the side lengths (shortest to longest) as a, b, c. Then we have ...
a + b + c = 40 . . . . . . perimeter
2c -a = 30
2a +2b +c = 61
__
Subtracting the third equation from twice the first gives ...
2(a +b +c) -(2a +2b +c) = 2(40) -(61)
c = 19 . . . . . simplify
Using this in the second equation, we have ...
2(19) -a = 30
38 -30 = a = 8 . . . . add a-30
Then the first equation reveals b:
8 + b + 19 = 40
b = 40 -27 = 13
The side lengths are 8 in, 13 in, and 19 in.
When Amy roller-skates, she moves 110 yards per minute. What is her speed in miles per hour? Round your answer to the nearest hundredth. (Hint: 1 yd= 3 ft; 5280 ft = 1 yd.; 60 min= 1 hr)
Answer:
Speed of Amy is 3.75 miles per hour.
Step-by-step explanation:
We have, speed of Amy = 110 yards per minute
This means, she covers 110 yards of distance in 1 minute.
Now, to convert the speed of Amy into miles per hour, we will first convert the distance from yards into miles and then convert time from minutes to hour.
We know that,
1 yard = 3 feet
∴ 110 yards = 3 × 110 feet = 330 feet
Now, we also know that,
5280 feet = 1 mile
∴ 1 feet = [tex]\frac{1}{5280}[/tex] miles
So, 330 feet = [tex]\frac{1}{5280}\times330[/tex] = [tex]\frac{1}{16}[/tex] miles
∴ 110 yards = 330 feet = [tex]\frac{1}{16}[/tex] miles
Now, 60 min = 1 hr
∴ 1 min = [tex]\frac{1}{60}[/tex] hrs
So, 110 yards = [tex]\frac{1}{16}[/tex] miles and 1 min = [tex]\frac{1}{60}[/tex] hr
So, we can say that, Amy covers a distance of [tex]\frac{1}{16}[/tex] miles in
[tex]\frac{1}{60}[/tex] hr.
We know that,
[tex]speed=\frac{distance}{time}[/tex]
[tex]speed=\frac{(\frac{1}{16}) miles}{(\frac{1}{60})hr}[/tex]
[tex]speed=\frac{60}{16} miles/hr = 3.75 miles/hr[/tex]
Therefore, the speed of Amy in miles/hr is 3.75 miles/hr.
I’m not to sure on how to find CEB can someone explain how to find it and what the answer would be,please
Answer:
m∠CEB is 55°
Step-by-step explanation:
Since ∠ADE = 55°, and ∠ADE is half of ∠ADC because ED bisects ∠ADC. Bisect means to cut in half.
∠ADC = 110° because it is double of ∠ADE.
Since AB║CD and AD║BC, the two sets of parallel lines means this shape is a parallelogram. In parallelograms, opposite angles have equal measures.
∠ADC = ∠CBE = 110°
All quadrilaterals have a sum of angles 360°. Since ∠DCB = ∠BAD and we know two of these other angles are each 110°:
360° - 2(110°) = 2(∠DCB)
∠DCB = 140°/2
∠DCB = ∠BAD = 70°
∠DCB was bisected by EC, which makes each divided part half.
∠DCE = ∠BCE = (1/2)(∠DCB)
∠DCE = ∠BCE = (1/2)(70°)
∠DCE = ∠BCE = 35°
All triangles' angles sum to 180°.
In ΔBCE, ∠BCE = 35° and ∠CBE = 110°.
∠CEB = 180° - (∠BCE + ∠CBE)
∠CEB = 180° - (35° + 110°)
∠CEB = 55°
Therefore m∠CEB is 55°.
Hãy tưởng tượng từng chữ cái của từ Toán Toán học được viết trên từng mảnh giấy và đặt trong một cái túi. Bạn nên chọn một chữ cái ngẫu nhiên từ túi đó, xác suất bạn chọn một nguyên âm là gì
Answer:
25% or 1/4. I don't know how to type Vietnamese.
I need the answer to the three questions I am struggling very hard to do this so I need help with the three questions
Answer:
Part 1) The slope is [tex]m=25[/tex] (the cost of the gym is $25 per month)
Part 2) The y-intercept is the point (0,-100) see the explanation
Part 3) [tex]y=25x-100[/tex], After 14 months the cost is [tex]\$250[/tex]
Step-by-step explanation:
Part 1) What is the slope of the line
Let
x ---> the number of months
y ---> the total cost in dollars
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
From the graph take two points
(0,-100) and (4,0)
substitute the values in the formula
[tex]m=\frac{0+100}{4-0}[/tex]
[tex]m=\frac{100}{4}[/tex]
[tex]m=25[/tex]
Remember that the slope is equal to the unit rate of the linear equation
That means ----> the cost of the gym is $25 per month
Part 2) What is the y-intercept of the line
we know that
The y-intercept is the value of y when the value of x is equal to zero
Looking at the graph the y-intercept is the point (0,-100)
In context this problem, the y-intercept represent the rebate of $100 that the gym was offering for sign up for a full year
Part 3) What is the linear equation for the line in this situation? What is the cost of the gym membership after 14 months
we know that
The linear equation in slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
we have
[tex]m=25[/tex]
[tex]b=-100[/tex]
substitute the values
[tex]y=25x-100[/tex]
For x=14 months
substitute
[tex]y=25(14)-100[/tex]
[tex]y=350-100=\$250[/tex]
UCULI
2 Points
When is a rhombus a square?
O
A. When its sides are parallel
B. When its angles are right angles
) C. When its angles are convex angles
O
D. When its sides are congruent
SUB
Answer:
B. When its angles are right angles.
Step-by-step explanation:
A rhombus is a quadrilateral with all 4 sides congruent. The sides can be slanted, which would keep it from being a square. If you make all the sides of a rhombus straight vertically and horizontally so you have 4 right angles, you have a square. A square is a quadrilateral with all 4 sides AND all 4 angles congruent.
Question1: A ball is shot from a cannon into the air with an upward velocity of 10 ft/sec. The function h(t) =-2t^2 + 10t + 12= represents the height (h) of the ball after t seconds. 1. Determine what is the axis of symmetry of the function? 2. Identify the roots of the quadratic function? 3. What is the y-intercept of the quadratic function? .4.) Determine the vertex of the function?
Answer:
1) [tex]x=\dfrac{5}{2}[/tex]
2) [tex]t_1=-1[/tex] and [tex]t_2=6[/tex]
3) (0,12)
4) [tex]\left(\dfrac{5}{2},\dfrac{49}{2}\right)[/tex]
Step-by-step explanation:
The function [tex]h(t) =-2t^2 + 10t + 12[/tex] represents the height (h) of the ball after t seconds.
Find the vertex of the parabola:
[tex]t_v=-\dfrac{b}{2a}=-\dfrac{10}{2\cdot (-2)}=\dfrac{5}{2}\\ \\h_v=h\left(\dfrac{5}{2}\right)=-2\cdot\left(\dfrac{5}{2}\right)^2+10\cdot \dfrac{5}{2}+12=-2\cdot \dfrac{25}{4}+25+12=-\dfrac{25}{2}+37=\dfrac{49}{2}[/tex]
Hence, the vertex of the function is at point [tex]\left(\dfrac{5}{2},\dfrac{49}{2}\right).[/tex]
The axis of symmetry of the function is vertical line which passes through the vertex, so its equation is
[tex]x=\dfrac{5}{2}[/tex]
To find y-intercept, equat t to 0 and find h:
[tex]h=-2\cdot 0^2+10\cdot 0+12=12[/tex]
Hence, y-intercept is at point (0,12)
To find the roots of the quadratic finction, equate h to 0 and solve the equation for t:
[tex]h=0\Rightarrow -2t^2+10t+12=0\\ \\t^2-5t-6=0\ [\text{Divided by -2}]\\ \\D=(-5)^2-4\cdot 1\cdot (-6)=25+24=49\\ \\t_{1,2}=\dfrac{-(-5)\pm \sqrt{49}}{2\cdot 1}=\dfrac{5\pm 7}{2}=6,\ -1[/tex]
Therefore, two roots are [tex]t_1=-1[/tex] and [tex]t_2=6[/tex]
A set of laptop prices are normally distributed with a mean of 750 dollars and a standard deviation of 60
dollars.
What proportion of laptop prices are between 624 dollars and 768 dollars?!
You may round your answer to four decimal places.
Answer:
0.6
Step-by-step explanation:
it is right
The proportion of laptop prices that are between 624 dollars and 768 dollars would be: 0.3907 or 39.07%.
What is the proportion?To determine the proportion of laptop prices that are betwee the specified prices, we would ge the z scores in the following way:
624 dollars
Z1 = (624 - 750) / 60 = -2.1
768 dollars
Z2 = (768 - 750) / 60 = 0.3
Now, if we use the standard distribution table, we would arrive at;
P(-2.1 < Z < 0.3) ≈ 0.3907
Learn more about proportions ehre:
https://brainly.com/question/1496357
#SPJ3
A function is shown f=(x)=x^2+ 2X-3
show the X intercepts and maximum or minimum of the function
Answer:
x intercepts at (-3,0), and (1,0)
there is a minimum at (-1,-4)
Step-by-step explanation:
Please see attached image for the requested graph of the function [tex]f(x) = x^2+2x-3[/tex], and observe that the crossings of the x-axis are at the points (-3,0), and (1,0) , marked in red in the image.
We can also see that there is no maximum, but a minimum value, and located at the point (-1,-4) [marked in green in the image]
given the list of ordered pairs, what is the x intercept (8,10),(3,-4),(0,8),(4,-3),(9,0)
Answer:
The x-intercept is the ordered pair (9,0)
Step-by-step explanation:
we know that
The x-intercept is the value of x when the value of y is equal to zero
so
The x-intercept is a ordered pair with a y-coordinate equal to zero
therefore
In this problem
The x-intercept is the ordered pair (9,0)
The x-intercept from the list of ordered pairs (8,10), (3,-4), (0,8), (4,-3), (9,0) is 9, as it is the x-value of the pair where the y-coordinate is zero.
Explanation:To find the x-intercept from a list of ordered pairs, you need to look for the pair where the y-coordinate is zero. The x-intercept is the x-value in this pair.
From the list of ordered pairs given in the question, which are (8,10), (3,-4), (0,8), (4,-3), (9,0), we identify that the x-intercept is in the pair where y is equal to 0.
Thus, the x-intercept from the list is 9, as it appears in the ordered pair (9,0).
1. Find the equation of the line that is modeled by the values in the table shown below.
A table is given containing the values of x and y.
The equation of the line is modeled by the values in the table.
As we can see in the table, we get to know that;
The y value is increased by 5 whereas the value of x is increased by 2.
So, we will put the numbers over each other for slope.
Therefore, slope=5/2
Now, we will put the slope value in the model equation;
y=mx+b
y=5/2x+b
Now, in the place of y and x we will be putting (2,1) in their place;
1=5/2(2)+b
b=1-5=-4
So, the final equation we get as;
y=5/2x-4
Hence, the equation of the line that is modeled by the values in the table shown is y=5/2x-4.
Whats is an equation?equation, statement of equality between two expressions consisting of variables and/or numbers. In essence, equations are questions, and the development of mathematics has been driven by attempts to find answers to those questions in a systematic way.
What is equation simple?A mathematical equation which represents the relationship of two expressions on either side of the sign. It mostly has one variable and equal to symbol. Example: 2x – 4 = 2.
What is equation and its types?An equation is a statement that says that the value of two mathematical expressions is equal. In simple words, an equation says that two things are equal. It is denoted by the equal to sign '='. Example of an Equation: 8+2= 12-2. The above equation says that the left side of the equation is equal to the right side.
Learn more about equations, refer to:
https://brainly.com/question/16450098
#SPJ2
Calculate the cost of spraying a rectangular field 720 m by 500 m with a pesticide at a cost of $23.50 per hectare.
The calculated cost of spraying the rectangular field is $846
Calculating the cost of spraying the rectangular field
From the question, we have the following parameters that can be used in our computation:
Dimension = 720 m by 500 m
Unit cost = $23.50 per hectare
The area of the field is calculated as
Area = 720 m * 500 m
So, we have
Area = 360000 square meters
Converted to hectares, we have
Area = 36 hectares
So, we have
Cost = $23.50 per hectare * 36 hectares
Evaluate
Cost = $846
Hence, the cost of spraying the rectangular field is $846
A rectangle has a height of 2y^3+5 and a width of y^3+6y.
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
Answer:
in polynomial form
Step-by-step explanation:
if you have any question then reply me
The area of the rectangle can be found by multiplying its width by its height, which is a polynomial expression in this case.
Explanation:To find the area of a rectangle, we multiply its width by its height. In this case, the width of the rectangle is y3+6y and the height is 2y3+5. So, the area of the rectangle is:
A = width × height
A = (y3+6y) × (2y3+5)
A = 2y^6 + 5y^3 + 12y^4 + 30y
This is the area of the entire rectangle, expressed as a polynomial in standard form.
Learn more about Finding the area of a rectanglehttps://brainly.com/question/35549815
#SPJ2
Ed Parker joined a health club. There was a $49 registration fee, and a $17.50 monthly fee. If Ed visits the club 2 times a week for a year, what does each workout cost him?
$ per visit.
Answer:
$2.49 per visit
Step-by-step explanation:
Mean or Average Value
It's referred to as the center of a numerical data set. In some circumstances, a list of values needs to be expressed as a single number who best represents them.
The registration fee of the health club is $49. It also charges a $17.50 monthly fee. In one year, the total cost will be $49 + 12*$17.50 = $259. If Ed Parker visits the club 2 times a week for a year, it will make an approximate of 2*52=104 visits a year. The mean cost by visit will be:
$259/104= $2.49 per visit
Answer:
3.55
Step-by-step explanation:
Database about trees include a height field. What kind of sort would list the data from tallest to shortest?
1) ascending sort
2) descending sort
3) mixed sort
4)random sort
A descending sort would list the data from tallest to shortest in the height field of a database about trees.
Explanation:The kind of sort that would list the data from tallest to shortest in the height field of a database about trees is a descending sort. This sort arranges the data in reverse order, with the tallest tree at the top and the shortest tree at the bottom. To perform a descending sort in a database, you can use the ORDER BY clause with the DESC keyword in the SQL query.
Learn more about Descending sort in a database here:https://brainly.com/question/31925443
#SPJ12
What is the value for y? If a=50, b=2x^2, c=5y+10
Answer:
4x
Step-by-step explanation: