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Related Questions
The vertex of this parabola is at (-4, -1). When the y-value is 0, the x-value is 2. What is the coefficient of the squared term in the parabola's equation?
A. -3
B. 3
C. -6
D. 6
Answers
[tex]y=a(x-h)^2+k[/tex]
where (h,k) is the vertex of the parabola. In this case, our parabola is opening horizontally to the right, so we need to swap the x and y in our equation. We have:
[tex]x=a(y-h)^2+k[/tex]
We've been given a the coordinates of the vertex (-4,-1) as well as the coordinates for a point on the parabola (2,0), so we can substitute in the values from both of these coordinates to easily solve for a, the coefficient of the squared term.
[tex]h=-4\\k=-1\\x=2\\y=0\\\\2=a(0-(-1))^2+(-4)\\2=a(1)^2-4\\2=a-4\\6=a[/tex]
So, the coefficient of the squared term for this parabola is 6.
Answer:
the coefficient of the squared term for this parabola is 6
Step-by-step explanation:
What is the remainder when the following polynomial division is performed? Place the answer in the proper location on the grid. Do not include parentheses in your answer.
(y4 – y3 + 2y2 + y – 1) ÷ (y3 + 1)
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the remainder of this long division is 2y^2
Will give brainliest pls help
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(-a)^2+(a)^2
a^2+a^2
After adding them, your answer would be A.) [tex] \sqrt{2a ^{2} } [/tex]
Hope this helps!
Which rectangle is an enlargement of a 5 by 6 rectangle
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Example:
(5 by 2) by (6 by 2) = 10 by 12,
so twelve can be an enlargement of a rectangle that is 5 by 6.
Which rectangle is an enlargement of a 5 by 6 rectangle? B. 15 by 18
The length of a rectangle is 3 yd less than twice the width, and the area of the rectangle is 65yd . find the dimensions of the rectangle.
Answers
65=w(2w-3)
65=2w²-3w
2w²-3w-65=0
2w²+10w
2w(w+5)
-13w-65
-13(w+5)
(2w-13)(w+5)
w=13/2
l=13-3
l=10
The width is 13/2 yd, and the length is 10 yd.
PART 2...Solve the below system of equations using the best method. Please describe the method used [substitution, graphing, elimination, etc], and give your answer in the form (x,y).
1.) 7x + 2y = 4
y = -4x + 1
2.) 3x - 4y = 1
-2x + 3y = 1
Answers
7x + 2y = 4
y = -4x + 1
Substitute what y is equal to from the second equation into y of the first equation.
7x + 2(-4x + 1) = 4
7x - 8x + 2 = 4
-x + 2 = 4
-x = 2
x = -2
Now substitute x with -2 in the second original equation to find y.
y = -4x + 1
y = -4(-2) + 1
y = 8 + 1
y = 9
Solution: (-2, 9)
2.) The first equation has 3x. The second equation has -2x. Multiply the first equation by 2 and the second equation by 3 and add them to use the elimination method.
3x - 4y = 1
-2x + 3y = 1
6x - 8y = 2
-6x + 9y = 3
-----------------
y = 5
The first original equation has -4y, and the second original equation has 3y. Multiply the first equation by 3 and teh second by 4 and add them to eliminate y.
9x - 12y = 3
-8x + 12y = 4
------------------
x = 7
Solution: (7, 5)
∠A and ∠B are vertical angles with m∠A=x and m∠B=5x−80 .
What is m∠A ?
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b) Imagine that you earned $8,425 in one year. If the government enforces a 15% income tax, how much money would you owe in taxes at the end of the year? Show your work.
Answers
take $8,425 and multipy it by 0.85 to get your answer.
Hope I helped :^)
Answer:
You would owe $1,263.75 in taxes at the end of the year.
Explanation:
To calculate the amount of income tax owed, you can use the formula:
Tax amount = Income * Tax rate
Given:
Income = $8,425
Tax rate = 15%
Substitute the values into the formula:
Tax amount = $8,425 * 0.15
= $1,263.75
So, you would owe $1,263.75 in taxes at the end of the year.
Two angles of a triangle have a sum of 110. the sum of all three angles is 180 .what is the measure of the third angle
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My company charges 10 cents per minute over 5 minutes when using Internet at its store. It also charges a 5 dollar fee for usage. How many minutes can I get with 10 dollars?
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now, you start downloading the macarena song and other mp3s, and it takes longer then they charge 10 cents or $0.10 per minute after those 5 minutes.
so, if you use it
6 mins you pay 1 * 0.10
7 mins you pay 2 * 0.10
8 mins you pay 3 * 0.10
9 mins you pay 4 * 0.10
10 mins you pay 5 * 0.10
x mins you pay (x - 5) * 0.10 so long "x" is 5 or higher.
now, they charge a $5 fee, that's just a connection fee, so is charged only once,
so the cost function will be
[tex]\bf \stackrel{cost}{y}=\stackrel{\textit{connection fee}}{5}+\stackrel{\textit{over 5 mins fee}}{(x-5)0.10} \\\\\\ \textit{how much can you get for 10 bucks? well if 10 bucks is the \underline{cost}} \\\\\\ 10=5+(x-5)0.1\implies 5=0.1(x-5)\implies \cfrac{5}{0.1}=x-5 \\\\\\ 50=x-5\implies \stackrel{minutes}{55}=x[/tex]
Which ratio is equivalent to 24/56?
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= 3/7
hope it helps
A right triangle has a hypotenuse of 13 cm and one leg that measures 12 cm. what is the length of the other leg?
Answers
The answer is 22.62
Hope this helps :)
The length of the other leg is 5 cm.
To find the length of the other leg of the right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Let's denote the length of the other leg as ( x ) cm.
According to the Pythagorean theorem:
[tex]\[ \text{hypotenuse}^2 = \text{leg}_1^2 + \text{leg}_2^2 \][/tex]
Given that the hypotenuse ( c ) is 13 cm, and one leg ( a ) is 12 cm:
[tex]\[ 13^2 = 12^2 + x^2 \][/tex]
[tex]\[ 169 = 144 + x^2 \][/tex]
Now, subtract 144 from both sides:
[tex]\[ x^2 = 169 - 144 \][/tex]
[tex]\[ x^2 = 25 \][/tex]
Taking the square root of both sides:
[tex]\[ x = \sqrt{25} \][/tex]
[tex]\[ x = 5 \][/tex]
Therefore, the length of the other leg is 5 cm.
Y=-4x-1 in standard form
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Given triangle ABC is congruent to PQR,b= 3v+4 and q=8v-6 find angle b and angle q
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You have 4 shirts and 3 pairs of pants. How many different outfits can you make if you need to wear a different shirts and different pants everyday?
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Answer:
you multiply 4 by 3 and you get 12 outfits
Step-by-step explanation:
I need help with an Algebra question. The question is in the picture. Thank you <3
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The range is [tex]0 \le H \le 40000[/tex] since H = 0 is the smallest output of the function and H = 40,000 is the largest output. Like the domain, the range is the set of possible outputs of a function.
A ball is thrown upward into the air so that its height, h, in feet, after t seconds is modeled by the function h(t) = 56t – 16t2. What is the velocity, in feet per second, of the ball after 2 seconds?
-32
-8
24
48
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Answer:
A
Step-by-step explanation:
-32
Speed is the ratio of distance and time.
It shows how fast an object is moving at a given time.
Velocity = Height / Time
The velocity, in feet per second, of the ball after 2 seconds is 24.
Option C is the correct answer.
What is speed?Speed is the ratio of distance and time.
It shows how fast an object is moving at a given time.
We have,
h(t) = 56t - 16t²
h(t) is the height after t seconds.
Now,
Velocity = Height / Time
At t = 2,
h(2):
= 56 x 2 - 16 x 4
= 112 - 64
= 48
Now,
Velocity = 48 / 2
Velocity = 24
Thus,
The velocity, in feet per second, of the ball after 2 seconds is 24.
Option C is the correct answer.
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Problem page two consecutive integers have a sum of 47 . find the integers
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which value below is not included in the solution set for the inequality statement? x+4≥1/2(x-3)
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x + 4 > = 1/2x - 3/2
2x + 8 > = x - 3
2x - x > = -3 - 8
x > = - 11
so not included would be any number that is less then or equal to -11.....such as -11, -12, -13....etc
Answer:
Step-by-step explanation:
-13
Which expression gives the volume of a sphere with radius 17?
Answers
r= 17 replace it
(4/3)π(17^3) = (4/3)π4913=6550.6 π= 6550.6 x 3.14 =20568.8 unit cube
remark : π=3.14
Answer:
[tex]\frac{4}{3} \pi r^{3}[/tex]
r =17
Step-by-step explanation:
Given : radius of sphere is 17
To Find : the volume of Sphere
Solution :
Volume of Sphere : [tex]\frac{4}{3} \pi r^{3}[/tex]
We are given that radius 'r' of sphere is 17
So, volume of sphere of radius 17 :
[tex]\frac{4}{3} \pi 17^{3}[/tex]
⇒ [tex]6550.6\pi[/tex]
put value of [tex]\pi[/tex] = 3.14
⇒6550.6 ×3.14
⇒20568.88
Thus , The volume of sphere is 20568.88 [tex]unit^{3}[/tex]
Which type of transformation is(x, y)-->(x + 2, y -2)?
A. Rotation
B. Reflection
C. Translation
D. Dilation
If point (5,2) is rotated counterclockwise 90° about the origin, its image will be point:
A. (2, 5)
B. (2, -5)
C. (-2, 5)
D. (-5, -2)
What are the coordinates of P ’, the image of P (–4, 0) under the translation(x-3, y+6)?
A. (–7,6)
B. (7,–6)
C. (1,6)
D. (2,–3)
The image of point A after a dilation of 3 is (6,15). What was the original location of point A?
A. (2,5)
B. (9,18)
C. (3,12)
D. (18,45)
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C. Translation
---------------
If point (5,2) is rotated counterclockwise 90° about the origin, its image will be point:
The rule for a rotation by 90 about the origin is (x,y)→(−y,x)
C. (-2, 5)
--------------
What are the coordinates of P ’, the image of P (–4, 0) under the translation(x-3, y+6)?
A. (–7,6)
---------------
The image of point A after a dilation of 3 is (6,15). What was the original location of point A?
A. (2,5)
(x, y)-->(x + 2, y -2) is a translation. If point (5,2) is rotated counterclockwise 90° about the origin, its image will be point (-2, 5).
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure
The given transformation is (x, y)-->(x + 2, y -2)
A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
(x, y)-->(x + 2, y -2) is a translation.
If point (5,2) is rotated counterclockwise 90° about the origin, its image will be point:
The rule for a rotation by 90 about the origin is (x,y)→(−y,x)
so (-2, 5)
The coordinates of P ’, the image of P (–4, 0) under the translation(x-3, y+6)?
P (–4-3, 0+6)
P'(–7,6)
The image of point A after a dilation of 3 is (6,15) then the original location of point A is (2, 5)
Hence, (x, y)-->(x + 2, y -2) is a translation. If point (5,2) is rotated counterclockwise 90° about the origin, its image will be point (-2, 5).
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Bob can do a job in 5 hours while Bill can do the same job in 8. How many hours would it take them, working together, to do this job?
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Final answer:
Bob and Bill can complete the job together in approximately 3.08 hours by combining their individual rates of work, which are 1/5 and 1/8 jobs per hour respectively.
Explanation:
The question asks how long it would take Bob and Bill to complete a job if they worked together, with Bob being able to do it in 5 hours and Bill in 8 hours. To solve this, we calculate the rates at which Bob and Bill work and then combine these rates to find their combined rate.
Bob's rate is 1 job per 5 hours, or 1/5 jobs per hour. Bill's rate is 1 job per 8 hours, or 1/8 jobs per hour. When they work together, their combined rate is 1/5 + 1/8 = 8/40 + 5/40 = 13/40 jobs per hour.
To find the total time it takes for them to complete 1 job, we take the reciprocal of their combined rate: 1 / (13/40) = 40/13, which is approximately 3.08 hours.
Combining Bob and Bill's individual rates, it would take them approximately 3.08 hours to complete the job together.
Find out how long it would take Bob and Bill to do the job together:
Calculate individual rates.
Bob's rate: He can complete the job in 5 hours, meaning his rate is 1 job / 5 hours.
Bill's rate: He can complete the job in 8 hours, meaning his rate is 1 job / 8 hours.
Combine rates.
To find their combined rate, we simply add their individual rates: Combined rate = Bob's rate + Bill's rate Combined rate = (1 job / 5 hours) + (1 job / 8 hours)
Calculate combined time.
Now, divide 1 (representing the entire job) by the combined rate to find the total time they take working together: Time together = 1 / Combined rate Time together = 1 / ((1 job / 5 hours) + (1 job / 8 hours))
Simplify and express the answer.
This can be simplified to: Time together = 40 / 13 hours Time together ≈ 3.08 hours
Therefore, it would take Bob and Bill approximately 3.08 hours to complete the job together.
You reach into a bag of coins and withdraw two coins without replacement. What is the probability you withdrew a nickel and then a dime if the bag held five pennies, ten nickels, and four dimes?
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aaaaaaaaaaaaaaaaaaaaaa
Answer: [tex]\dfrac{20}{171}[/tex]
Step-by-step explanation:
Given : Number of nickels in the bag = 10
Number of dimes in the bag = 4
The total number of coins in the bag =[tex]10+4+5=19[/tex]
The probability of drawing nickel :-
[tex]\text{P(nickel)}=\dfrac{10}{19}[/tex]
Total number coins left = 18
The conditional probability of drawing dime, given that a nickel is already drawn :-
[tex]\text{P(dime}|\text{nickel)}=\dfrac{4}{18}[/tex]
Now, the probability you withdrew a nickel and then a dime is given by :-
[tex]\text{P(dime and nickel)}=\text{P(dime}|\text{nickel)}\times\text{P(nickel)}\\\\=\dfrac{10}{19}\times\dfrac{4}{18}=\dfrac{20}{171}[/tex]
Now, the probability you withdrew a nickel and then a dime [tex]}=\dfrac{20}{171}[/tex]
Write the equation that satisfies the given conditions. The line passes through the two points (3, -1) and (-2, 5). Choices A. 5y = 6x - 23 B. y=-6/5x +13/5 C. y = 4x - 13
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slope = (5 - (-1) / (-2 - 3) = -6/5
y = mx + b
slope(m) = -6/5
(3,-1)...x = 3 and y = -1
sub and find b, the y int
-1 = -6/5(3) + b
-1 = -18/5 + b
-1 + 18/5 = b
-5/5 + 18/5 = b
13/5 = b
so ur equation is : y = -6/5x + 13/5
To find the linear equation of a line passing through two given points, use the formula for the slope of a line to calculate the slope, then substitute this value, along with one of the given points, into the point-slope form of a line and solve for y.
Explanation:The subject of this question is the formulation of a linear equation, specifically a equation of a line passing through two given points (3, -1) and (-2, 5). The formula used to find the slope (m) of a line between two points is: m = (y2 - y1) / (x2 - x1). Use this formula to calculate the slope using these points(m = (5 - (-1)) / (-2 - 3) = -6/5) .
Next, using the point-slope form of a line, y - y1 = m(x - x1), we substitute m with the calculated slope, and (x1, y1) with one of the given points. (Let's use (3, -1), y - (-1) = -6/5(x - 3) simplifying this gives us the answer: y=-6/5x +13/5. Therefore, the correct answer is choice B: y=-6/5x +13/5.
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The sum of 5 consecutive odd numbers is 145 what is the third number in this sequence
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10x + 25 = 145
10x = 120
x = 12
2x + 1 = 25
Sequence = 25 +27 +29 +31 +33
Third number = 29
Answer:
29
Step-by-step explanation:
You don't need to know you just need to know the answer and it is 29
Multiply. (−23)⋅(−4) A. −92 B.−27 C.27 D.92
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ANSWER ASAP 30 POINTS GIVEN
△MNP≅△QST
.
What is
m∠S
?
Enter your answer in the box.
Answers
Answer:- m∠S=78°.
Explanation:-
Given:- Two congruent triangles ΔMNP and ΔQST which are congruent, where m∠M=66° and m∠N=78°.
⇒The corresponding parts of ΔMNP are congruent to the ΔQST .
Therefore, all the corresponding sides of ΔMNP are congruent to the ΔQST and all the corresponding angles of ΔMNP are congruent to the ΔQST such that
MN=QS , NP=ST and MP=QT.
m∠M=m∠Q, m∠P= m∠T and m∠N=m∠S.
Substitute the value of m∠N=78°, we get
m∠S=78°.
What is the vertex of the absolute value function below?
(4, –1)
(1, –4)
(1, 4)
(4, 1)
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The vertex is the point where the function changes direction, in this case from growing to decrease.
That is the point wiht x-coordinate 4 and y-coordinate 1, so the point is (4,1).
Answer: (4,1)
Answer:
(4,1) D
Step-by-step explanation:
i got it right on edge
Jenny divided 1/2 gallon of ketchup equally into 4 smaller bottles to put on the tables in her hamburger restaurant. How much ketchup did she put in each bottle
Answers
I believe she put 1/4 of a gallon in each bottle.
I Really Hope This Helped You!
How to find the number of sublevels in a principal energy level?
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See attached pic.