Answer:
[tex]\boxed{\bold{-5x+8}}[/tex]
Step-by-step explanation:
Combine Similar Elements: [tex]\bold{8x-11x=-3x}[/tex]
[tex]\bold{4\cdot \:2x-3x+6-5\cdot \:2x+2}[/tex]
Multiply: [tex]\bold{4\cdot \:2=8}[/tex]
[tex]\bold{8x-3x+6-10x+2}[/tex]
Group Like Terms
[tex]\bold{8x-3x-10x+6+2}[/tex]
Combine Similar Elements: [tex]\bold{8x-3x-10x=-5x}[/tex]
[tex]\bold{-5x+6+2}[/tex]
Add Numbers: [tex]\bold{6+2=8}[/tex]
[tex]\bold{-5x+8}[/tex]
To simplify the expression, combine like terms resulting in -1[tex]x^2[/tex] - 8x + 8.
To simplify the given algebraic expression, we need to combine like terms. The terms in the expression are: 4[tex]x^2[/tex], 8x, -11x, 6, -5[tex]x^2[/tex], and 2. Combining the [tex]x^2[/tex] terms and the x terms separately, we get:
[tex]4x^2 - 5x^2 = -1x^2[/tex]
8x - 11x - 5x = -8x
Finally, we add the constant terms: 6 + 2 = 8.
Putting it all together, the simplified version of the expression is: -1[tex]x^2[/tex] - 8x + 8.
Which expression is equivalent to (3^2)^-2
Answer: 1/81
First you simplify it to 3^-4
Then express it with a positive exponent which goes to 1/3^4
Then evaluate it to 1/81
Answer:
The expression which is equivalent to the given expression is given by :
[tex]\bf\frac{1}{81}[/tex]
Step-by-step explanation:
The expression is given to be :
[tex](3^{2})^{-2}[/tex]
Now, we need to find a expression which is equivalent to this given expression.
[tex](3^{2})^{-2}\\\\\implies (3\times 3)^{-2}\\\\\implies (9)^{-2}\\\\\implies\frac{1}{(9)^2}\\\\ \implies \frac{1}{81}[/tex]
Hence, The expression which is equivalent to the given expression is given by :
[tex]\bf\frac{1}{81}[/tex]
What is 2f + 4f + 2 – 3 evaluated at f = 3?
Answer:
17
Step-by-step explanation:
given
2f + 4f + 2 - 3 ← simplify by collecting like terms
= 6f - 1 ← substitute f = 3 into the expression
= (6 × 3) - 1 = 18 - 1 = 17
Answer:
17
2(f) + 4(f) + 2 - 3 | (f) = 3
2(3) + 4(f) + 2 - 3
(6 + 12) + (2 - 3)
(18) - (1)
Step-by-step explanation:
Jillian planted a sunflower. The height of her plant can be expressed by the following function where d represents the number of days the plant has been growing and h(d) Represents the height in inches.
h(d)= 3/7d + 5
How tall will her sunflower be after one week?
Answer:
8in
Step-by-step explanation:
input (D) which is 7 days to find the height
h(d) = 3/7d +5
h = 3/7(7) + 5
h = 3+5
h=8
Answer:
8in
Step-by-step explanation:
The height of her plant can be expressed by the following function where d represents the number of days the plant has been growing and h(d) Represents the height in inches. h(d)= 3/7d + 5.
A kayak rental company charges a $15 fee to rent a kayak plus $3.50 per hour. Which equation represents the function for the total cost, c, to rent a kayak for h hours?
A. c=3.5x+15
B. c=3.5x-15
C. c=-3.5x+15
D. c=-3.5x-15
Final answer:
The correct equation is c=3.5h+15, where c is the total rental cost and h is the number of hours the kayak is rented. The equation includes a fixed fee of $15 and a variable hourly rate of $3.50. The correct answer is option (A).
Explanation:
The equation representing the function for the total cost c, to rent a kayak for h hours, is A. c=3.5h+15. This equation consists of a fixed cost and a variable cost.
The fixed cost, or y-intercept, is the initial $15 fee required to rent the kayak, which is represented when h=0. The variable cost, or slope, is $3.50 per hour of rental, indicating that for each additional hour h, the cost increases by this amount.
Determine the factors of 3x2 + 10x − 8. (Which is the right answer?)
A. (3x − 8)(x + 1)
B. (3x − 1)(x + 8)
C. (3x − 4)(x + 2)
D. (3x − 2)(x + 4)
ANSWER
[tex](3x - 2)(x + 4)[/tex]
EXPLANATION
The given quadratic trinomial is
[tex]3 {x}^{2} + 10x - 8[/tex]
Comparing to the general quadratic trinomial:
[tex]a{x}^{2} + bx + c[/tex]
We have a=1, b=10 and c=-8
[tex]ac = 3 \times - 8 = - 24[/tex]
The factors of -24 that adds up to 10 are -2 and 12.
We split the middle term to obtain;
[tex]3 {x}^{2} + 12x - 2x- 8[/tex]
Factor;
[tex]3x(x+ 4) - 2(x + 4)[/tex]
Factor further;
[tex](3x - 2)(x + 4)[/tex]
The last option is correct.
Mark launches a toy rocket with an initial vertical velocity of 25ft/s from a platform that is at ground level. how long will the toy rocket be in the air?
Answer:
A
Step-by-step explanation:
First: C is incorrect. It is using the value of acceleration due to gravity in the metric system.
Second: the 16 must be opposite in sign from the 25. That makes B and D incorrect.
Answer: A
Solve the exponential equation. Write the exact answer with natural logarithms and then approximate the result correct to three decimal places.
[tex]5^{1-x} =2^{x}[/tex]
I was able to start it, but I somehow got [tex]log_{5}2=0[/tex], and I don't think that's right.
Answer:
Fraction form: x = ln(5)/ln(10)
Decimal form: 0.69897000
please mark brainliest
If I make $14.00 an hour how much will I make monthly?
Answer:
$4032.00Step-by-step explanation:
If you are making $14.00 in an hour then in 1 day it will be $14.00 × 24 = $336.00 and in 1 month $336.00 × 12 = $4032.00
△ABC is inscribed in a circle. Find the angle between the tangents to the circle at points B and C, if m∠CAB=50°.
Answer:
80°
Step-by-step explanation:
We know the measure of ∠CAB. This is an inscribed angle; this means its measure is 1/2 that of the intercepted arc, BC. This means the measure of BC is 100°.
This makes the measure of arc BAC is 360-100 = 260°.
The measure of the angle formed by the tangents, since it is outside the circle, will be 1/2 of the difference of the intercepted arcs. This means the measure of this angle will be
1/2(260-100) = 1/2(160) = 80°
Based on the information given, it should be noted that the angle between the tangents to the circle at points B and C will be 80°.
From the given information, we've been given the measure of ∠CAB which is 50°.Since this is an inscribed angle, it implies that the measure is 1/2 that of the intercepted arc, BC. Therefore, the measure of BC will be: = 50/0.5 = 100°.Therefore, the measure of arc BAC will be: = 360° - 100° = 260°.It should be noted that the angle between the tangents to the circle at points B and C will therefore be calculated thus:
= 1/2(260-100)
= 1/2(160)
= 80°
In conclusion, the correct option is 80°.
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in the equation y=4x-7, what is the value of y when x=2?
Answer:
-56Step-by-step explanation:
y=4x-7= x=2y=4(2)-7
y=(4)(2)(−7)
Answer:
y=−56
Value of y when x = 2 is 1.
What is an equation?
An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
Given equation
y = 4x-7
Value of y when x = 2
Substitute x = 2 in above equation
[tex]y = 4 \times 2 -7[/tex]
[tex]y=8-7[/tex]
y = 1
Value of y when x = 2 is 1.
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Lisa’s test grades are 79, 89, and 90.
What is Lisa’s test average?
Answer: 86
Step-by-step explanation: You would add up all the numbers, then divide by the amount of numbers there are.
For example
79+89+90=258
Since there are three numbers(79,89,90) you would divide 258 by 3 and would get 86.
Hopes this helps
EMERGENCY
The graph represents function 1, and the equation represents function 2.
Function:
y = 8x + 12
How much more is the rate of change of function 2 than the rate of change of function 1?
Answer:
The rate of change is 8 more for function 2 than it is for function 1.
Step-by-step explanation:
Function 1 is a horizontal line, which has a slope of 0. Slope is the same as rate of change.
Function 2 has a slope of 8 (since it is the coefficient of x.
As a result, we know that function 2's rate of change is 8 higher than that of function 1.
The equation yˆ=−2.58x+566.67 models the distance a driver can see in feet, where x is the age of the driver in years. According to the regression equation, how far can a 30 year old driver see in feet?
Answer:
489 to the nearest foot.
Step-by-step explanation:
y = -2.58x + 566.67
x = 30:
y = -2.58*30 + 566.67
= 489 to nearest foot.
Answer:
A 30 year old driver can see 489.27 feet
Step-by-step explanation:
The equation yˆ=−2.58x+566.67 models the distance a driver can see in feet, where x is the age of the driver in years.
WE need to find out the height when x is 30
Plug in 30 for x and find out y
y=−2.58x+566.67
Replace x with 30
y=−2.58(30)+566.67 = 489.27
A 30 year old driver can see 489.27 feet
18% of 120 to 12% of 120
Answer: 18% of 120 is 21.6
And, 12% of 120 is 14.4
* Both of their work is below:)
* Hopefully this helps:)!! Mark me the brainliest:)!!
∞ 234483279c20∞
Answer:
18% of 120 to 12% of 12021.6 to 14.4Step-by-step explanation:
18% of 120
Convert 18% to a decimal by dividing by 100:
18 / 100 = 0.18
120 * 0.18 = 21.6
12% of 120
Convert 12% to a decimal by dividing by 100:
18 / 100 = 0.12
120 * 0.12 = 14.4
18% of 120 to 12% of 12021.6 to 14.4nine stores is 3% put of 100. of how many stores are a hundred percent ? use proportions or multiplication please!!
Answer:
30,000 stores
Step-by-step explanation:
setting up a proportion is proably the easiest way to solve this equation..
9/ x = 3%/100%
0.03x = 9(100)
0.03x = 900
/0.03 /0.03
x = 30,000 stores
hope this helps!!
If point S is reflected across the y-axis, what are the coordinates of its reflection image.
A. (2,-3)
B.(-2,3)
C.(3,-2)
D.(-3,2)
Answer:
D) coordinates of its reflection image is ( -3 , 2) .
Step-by-step explanation:
Given : S ( 3 ,2) If point S is reflected across the y-axis,
To find : what are the coordinates of its reflection image.
Solution : We have given S ( 3 ,2).
By the reflection rule over y -axis : (x ,y) →→ ( -x , y) .
Then x = 3 , y = 2
Then coordinates of its reflection image is
(3 , 2 ) →→ ( -3 , 2) .
Therefore, D) coordinates of its reflection image is ( -3 , 2) .
Find the value of y.
Answer options: 62, 66, 70, 74
Answer:
The value of y = 70°
Step-by-step explanation:
∵ The measure of the major arc = 160 + 60 = 220°
∵ The measure of the circle is 360°
∴ The measure of the minor arc = 360 - 220 = 140°
∵ y is the angle between a chord and a tangent
∵ The chord subtended by the arc of measure 140°
∵ y is subtended by the arc of measure 140°
∵ Angle of tangent subtended by an arc,
its measure = half the measure of the subtended arc
∴ The measure of y = 1/2 the measure of the subtended arc
∴ y = 1/2 × 140 = 70°
Answer:
70
Step-by-step explanation:
9.
The original cost of a lamp is $18.95. The lamp is on sale for 25% off. How much will you pay
Answer:
$14.21
Step-by-step explanation:
To find 25% of 18.95, you can multiply 18.95×0.25, which approximately equals $4.74. Then subtract $4.74 from $18.95 to get $14.21
Answer:
$14.2125
Step-by-step explanation:
We have been given that the original cost of a lamp is $18.95. The lamp is on sale for 25% off.
Since the lamp is on a 25% sale, then the cost of the lamp would be 75% (100%-25%) of the original price.
[tex]\text{Cost of lamp after sale}=\$18.95\times \frac{75}{100}[/tex]
[tex]\text{Cost of lamp after sale}=\$18.95\times 0.75[/tex]
[tex]\text{Cost of lamp after sale}=\$14.2125[/tex]
Therefore, you will have to pay $14.2125 for the lamp.
Factor x squared minus 9?
The expression 'x squared minus 9' represents a difference of two squares. It can be factored using the rule a² - b² = (a - b)(a + b), resulting in (x - 3)(x + 3).
Explanation:The expression x squared minus 9 is a difference of two squares, which can be factored into two binomials. The general rule for factoring a difference of squares is that a² - b² = (a - b)(a + b). Therefore, x² - 9 can be factored as (x - 3)(x + 3). Here, 'x' is the square root of 'x²' and '3' is the square root of '9'. Thus,
x² - 9 = (x - 3)(x + 3).
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The expression 'x squared minus 9' is factored as (x - 3)(x + 3) using the difference of squares rule in algebra.
Explanation:Factoring the expression x squared minus 9 is an application of a rule in algebra known as the difference of squares. The difference of squares rule states that for any two terms a and b, the difference of their squares can be factored as (a - b)(a + b). Apply this rule to the given expression x squared minus 9
by considering 'x' as 'a' and '3' as 'b' (since 3 squared is 9), we get (x - 3)(x + 3) as the result. So, x squared minus 9 factors into (x - 3)(x + 3).
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All perfect squares are divisible by two
Answer:
No
Step-by-step explanation:
No, because think of 9, its not divisible by two and for the second one yes, a perfect square always has a positive and negative
Which method is the most efficient method to use to solve x^2+4x+3=0
Answer:
Factoring
Step-by-step explanation:
To solve the equation [tex]x ^ 2 + 4x + 3 = 0[/tex], you must apply the factoring method.
You must find two real numbers b and c such that:
[tex]b + c = 4[/tex]
and
[tex]b(c) = 3[/tex]
Then the expression:
[tex]x ^ 2 + 4x + 3 = 0 = (x + b)(x + c)[/tex]
You can prove that:
[tex]b = 3\\c = 1[/tex]
So
[tex]x ^ 2 + 4x + 3 = 0 = (x + 3)(x + 1)[/tex]
[tex](x + 3)(x + 1) = 0[/tex]
[tex]x +3 = 0[/tex] or [tex]x + 1 = 0[/tex]
[tex]x = -3[/tex] or [tex]x = -1[/tex]
X will be -1 and -3!
Which type of cross section is formed when the cone is intersected by a plane containing the axis of rotation?
When a cone is intersected by a plane containing the axis of rotation, an ellipse is formed as the cross-section in geometry.
Explanation:When a cone is intersected by a plane containing the axis of rotation, an ellipse is formed as the cross-section. This is a key concept in geometry, where the intersection of a plane with a cone results in different types of curves known as conic sections.
Which phrase could the expression x-4 represent? a number less than 4 the difference of a number and 4 the sum of a number and 4 four less a number
Answer:
Four less a number
Step-by-step explanation:
x-4 is literally subtracting 4 and 4 less a number is basically also subtracting 4 from an equation.
Answer:
The difference of a number and 4.Step-by-step explanation:
The sentence that represents better the given expression is "The difference of a number and 4".
Mainly because states the difference in the right order, first the unknown number, which is called "a number", and in second place the number 4, referring to the difference is the subtract of 4 units from the number, not in the opposite way.
On the other hand, "a number less than 4" specifies that the unknown number is minor than 4, which is not true. "the sum of a number and 4" is completely wrong, because there's no sum at all. "Four less a number" refers to a difference but in the opposite way 4-x.
Therefore, the right answer is
The difference of a number and 4.Data was collected of students’ hair color and gender. The results are in the table below.
Answer:
Step-by-step explanation:
Part One
Number of girls with blonde hair = 6
Total number of students = 40
% = 6/40 * 100% = 15%
Part Two
Number of Red Headed boys = 2
Just read the chart.
Part Three
The Chance that black hair is 4/40 = 0.1 or 1 in 10
Felicia is a girl who plays on a co-ed volleyball team. Besides Felicia, the team is made up of 7 boys and 4 other girls. The team decided to randomly select its team captain. What is the probability that Felicia will be selected team captain
Answer:
1/14
Step-by-step explanation:
There are 9 + 4 + 1 people to choose from. Total = 14
There is a 1/14 probability that she will be choosen.
Answer:1/12
Step-by-step explanation:
fine the value of m-8 when m=15
Answer:
23
Step-by-step explanation:
15+8=23
Answer:
7
Step-by-step explanation:
um thats just 15-8
If the endpoints of the diameter of a circle are (−8, −6) and (−4, −14), what is the standard form equation of the circle? A) (x + 6)2 + (y + 10)2 = 20 B) (x − 6)2 + (y − 10)2 = 20 C) (x + 6)2 + (y + 10)2 = 2 5 D) (x − 6)2 + (y − 10)2 = 2 5
Answer:
[tex]\large\boxed{A.\ (x+6)^2+(y+10)^2=20}[/tex]
Step-by-step explanation:
The standard form of an equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
We have the endpoints of the diameter of a circle (-8, -6) and (-4, -14).
The midpoint of a diameter is a center of a circle.
The formula of a midpoint:
[tex]\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)[/tex]
Substitute:
[tex]x=\dfrac{-8+(-4)}{2}=\dfrac{-12}{2}=-6\\\\y=\dfrac{-6+(-14)}{2}=\dfrac{-20}{2}=-10[/tex]
We have h = -6 and k = -10.
The radius is the distance between a center and the point on a circumference of a circle.
The formula of a distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute (-6, -10) and (-8, -6):
[tex]r=\sqrt{(-8-(-6))^2+(-6-(-10))^2}=\sqrt{(-2)^2+4^2}=\sqrt{4+16}=\sqrt{20}[/tex]
Finally we have
[tex](x-(-6))^2+(y-(-10))^2=(\sqrt{20})^2\\\\(x+6)^2+(y+10)^2=20[/tex]
Answer:
It's A...Just had it but i Chose B but it's A
Step-by-step explanation:
A simple random sample of ten people is taken from the set of all registered voters in a given district to determine their average age. Which of the following is a reason why you can not make a statistical inference on the population?
Answer:
The sample size is not appropriate.
The population isn’t given to be approximately normal. And for the following question, "A convenience sample of forty people is taken from a population. Which of the following is a reason why you can not make a statistical inference on the population?" The answer is The wrong sampling method was used.
Answer:
Answers are : (1st & 2nd choices)
• The sample size is not appropriate.
• The population isn't given to be approximately normal.
what is 3 1/8 - 1/2
Answer:
[tex]\frac{21}{8}[/tex]
Step-by-step explanation:
Given: [tex]3\frac{1}{8} - \frac{1}{2}[/tex]
Let's changed that mixed number to an improper fraction. Now we get:
[tex]\frac{25}{8} - \frac{1}{2}[/tex]
Let's find out least common denominator. This one is easy, the LCD is 8. Now that we know the LCD, let's convert both our fractions:
[tex]\frac{25}{8} - \frac{4}{8}[/tex]
We can use [tex]\frac{4}{8}[/tex] because it is equal to [tex]\frac{1}{2}[/tex]. Now, all we need to do is subtract the numerators:
[tex]\frac{25}{8} - \frac{4}{8}=\frac{21}{8}[/tex]
Answer:
[tex]\frac{21}{8}[/tex]Step-by-step explanation:
Plz help me!!!!!!!!!!
Answer:
a = ( 5 +/- sqrt(57) )/2
Step-by-step explanation:
Uh...well just multiply by a and move the 4, setting the equation to 0.
a, b, and c are 2, -5, -4
Plug that into the QuadF.
Answer: [tex]\bold{\dfrac{5\pm \sqrt{57}}{4}}[/tex]
Step-by-step explanation:[tex]2a-5=\dfrac{4}{a}\\\\\text{Multiply by the LCD (a) to clear the denominator:}\\\\\\2a(a)-5(a)=\dfrac{4}{a}(a)\\\\2a^2-5a=4\\\\2a^2-5a-4=0\quad \rightarrow \quad a=2,\ b=-5,\ c=-4\\\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-5)\pm \sqrt{(-5)^2-4(2)(-4)}}{2(2)}\\\\\\.\ =\dfrac{5\pm \sqrt{25+32}}{4}\\\\\\.\ =\dfrac{5\pm \sqrt{57}}{4}[/tex]