The vertex form of the equation of a parabola is y = 5(x-3)2 - 6.
What is the standard form of the equation?

Answers

Answer 1

9514 1404 393

Answer:

  y = 5x² -30x +39

Step-by-step explanation:

Multiply it out and collect terms.

  y = 5(x -3)² -6

  y = 5(x² -6x +9) -6 . . . . . expand the square

  y = 5x² -30x +45 -6 . . . . use the distributive property

  y = 5x² -30x +39 . . . . . . collect terms

_____

The expansion of a binomial square is ...

  (a +b)² = a² + 2ab + b²

In this problem, we have a=x, b=-3.

Answer 2

Answer:

y = 5x² -30x +39

the answer above me explains it better go look at it


Related Questions

What value of x is in the solution set of -5x – 15 > 10 + 20%?
-2
-1
0
1

Answers

Answer:

-1

Step-by-step explanation:

-5x – 15 > 10 + 20x

-5x -20x > 10+15

-25x > 25

x < -1

pllz helpp i dont havvee timeee

Answers

It states reflected over the y-axis, so treat the y axis as a mirror and you will realise that the x is always the inverse number. For example, if it is -2, the reflected value will be 2. (y remains unchanged)

X: (10,2)

Y: (8,-7)

Z: (-9,5)

What is the total cost of a $12.49 item with a sales tax of 5%?

Answers

Answer: $13.11

Step-by-step explanation:

hope this helps!

Match these units :) *pls answer *

Answers

Do you have a picture to show so that I can help?<3

Answer:yeesssssowfhefuhenhv2egfv2

cbhufvyb2hvh2d

Step-by-step explanation:

The system of equations is graphed on the coordinate plane.
y=-5/3x+3
y=1/3x - 3
Enter the coordinates of the solution to the system of equations
in the boxes.

Answers

Answer: The solution is (3, -2)

This means that x = 3 and y = -2 pair up together.

=====================================================

Explanation:

The solution is where the two lines cross. Note if we started at the origin (0,0) and moved to the right 3 units, and then down 2 units, we would arrive at the location (3, -2).

-----------------

As a way to check, we can plug x = 3 into each equation. We should get y = -2 as a result for each equation

y = (-5/3)x + 3

y = (-5/3)*3 + 3

y = -5+3

y = -2

The first equation is confirmed. Let's check the second equation

y = (1/3)x - 3

y = (1/3)*3 - 3

y = 1 - 3

y = -2

Both equations have the y value equal -2 when x = 3. Therefore, the overall solution is confirmed.

on a map the scale is 1 inch=350 miles. what is the distance between two cities if the map distance is 2.5 inches

Answers

Answer: 875

Step-by-step explanation:

You can set up proportions so it’s like: 1/350=2.5/x and then solve for x

es urgente necesito ayuda​

Answers

ANSWER

a)56
b)134
c)27
d)141

how can i solve this

tan2x/(tan4x-tan2x)​

Answers

the answer is yes i did this before so hope that helps

Answer: = cos 4x

[tex]\frac{tan2x}{tan4x-tan2x}\\\\=\frac{tan2x}{\frac{2tan2x}{1-tan^{2}2x }-tan2x }\\\\=\frac{tan2x(1-tan^{2}2x) }{2tan2x-tan2x(1-tan^{2}2x) }\\\\=\frac{tan2x(1-tan^{2}2x) }{tan2x(2-1+tan^{2}2x) }\\\\=\frac{1-tan^{2}2x }{1+tan^{2}2x } \\\\=\frac{1-\frac{sin^{2}2x }{cos^{2}2x } }{1+\frac{sin^{2}2x }{cos^{2}2x } }\\\\=\frac{cos^{2}2x-sin^{2}2x }{cos^{2}2x+sin^{2}2x } \\\\=\frac{cos4x}{1}\\\\=cos4x[/tex]

Step-by-step explanation:


Find The Area of this
Triangle
5 cm
13 cm
12 cm

Answers

the correct answer is 30cm

Victoria buys a two-gallon bottle of juice for $48.64. What is the unit rate of the cost of the juice per fluid ounce? I need this asap

Answers

Answer:

2.6315789473

Step-by-step explanation:

Hope this helps!

Another house is sold for £283,392
This is 1.6% less than the price paid for the house. What was the price paid?​

Answers

Answer:

the price paid is  £288,000

Step-by-step explanation:

The computation of the price paid is shown below:

Sale of the another house is £283,392

Since the another house would be 1.6% less than the price paid

So, the price paid would be

=  £283,392 × 100 ÷ (100 - 1.6%)

=  £283,392 × 100 ÷ 98.4

=  £288,000

Hence, the price paid is  £288,000

Chris borrows £6000 at a simple interest rate of 10% per year.
He pays the money back after 4 years.
How much does he pay back in total?

Answers

9514 1404 393

Answer:

  £8400

Step-by-step explanation:

The amount due after t years is ...

  A = P(1 +rt)

  A = £6000(1 + 0.10·4) = £6000·1.40

  A = £8400

Chris pays back £8400 in total.

Joey wants to join the gym. The gym has a membership fee of $50 then $25 per month. How much will it cost Joey if he goes to the gym all year?

Answers

12x25+50=350 answer$$

Help!! I'll name you the brainliest!!

Answers

Just get a brain

S

Jksjsisisisjsjjsjdjdjdjd

Jacksons kitty weighed 2 pounds and 3 ounces a month later the kitty weighed 56 ounces how much weight did the kitty gain in that month

Answers

Answer:

21 ounces

Step-by-step explanation:

2 pounds→ convert to ounces= 32

32 ounces+ 3 ounces= 35

56 ounces-35 ounces= 21 ounces

Answer:

21 ounces

Step-by-step explanation:

1 pound=16 ounces

16 x 2=32

32+3=35

56-35=21

3 divided by 8. What is the dividend?

Answers

Answer:0.375

Step-by-step explanation:

What is the dividend? the question

The answer is 2.666
Hopefully it’s right :)

please help i don’t understand

Answers

A line is 180 so you subtract 126 with 180 and get 54. Since a Triangle angles all equal 180 together you add 54 and 43 and subtract 180 and the answer is 83

Answer:

You have to fine the number that matches with the "X" so the answer would be 126 divided by 43 which is 2.9. 2.9 is closer to 3 than 2 so the "x" is 3

Step-by-step explanation:

NEED HELP ASAP 40 points!! <3 (will mark brainiest) as well :))

Answers

Answer:

12a-2b4 is a binomial

Step-by-step explanation:

one monomial is 12a-2

and the two monomial is b4

2/3 x + = 15
solve the following equation

Answers

Answer:

26wb trial corp Cisco soap

3x - 12 = 3x + 1
help please

Answers

Answer:

There's no solution to this equation, when 2 equations have the same slope but different y-intercepts, they're parallel. This means they never intercept and there is NO solution and we can't solve for x.

the picture is attached below :)

Answers

Answer:

Step-by-step explanation:

[tex]6^{2}[/tex]+[tex]3^{2}[/tex]= 45

QS=3[tex]\sqrt{5}[/tex]  

16+45=61

NS=[tex]\sqrt{61}[/tex]

not sure why the answer provided starts with 6 but this should be correct

does anyone have a private server on royal high I need the new set pls

Answers

Answer:

Nope but I hope you find one soon. -Your friend, Bill Cipher

Step-by-step explanation:

Answer:

I do!! My user is;  AngelCookiesSmiles. c:

Step-by-step explanation:

Which of the following could be the area of a room?
a. 18 m
b. 50 ft.
c. 29 m

Answers

Answer:

probley A

Step-by-step explanation:

This would most likely be the answer A

5 movie tickets cost $55. At this rate, what is the cost per ticket?
Please help i really need it

Answers

Answer:

11

Step-by-step explanation:

55/5 equals 11

Answer:

11

Step-by-step explanation:

55 divided by 5 equals 11

1. It is a prime number larger than 20.​

Answers

Answer:

23, 29, 31, 37, 41, 43, 47, 53, 59, 61

what are you asking?

Brandon Brandon Drew the two congruent squares shown he divided one square into 2 congruent triangular parts he divided the other square into 2 congruent rectangular parts

Answers

Incomplete question: Options

(a) Each triangular part and each rectangular part represents 1/2 the area of one square.

(b) Each triangular part has an area that is greater than the area of each rectangular part.

(c) Each triangular part and each rectangular part represents 1/4 the area of one square

(d) Each rectangular part has an area that is greater than the area of each triangular part.

See attachment for squares

Answer:

(a) Each triangular part and each rectangular part represents 1/2 the area of one square.

Step-by-step explanation:

Given

See attachment

Required

Which statement is true

Before the division, the area of both squares is:

[tex]Area = l * w[/tex]

After the division:

The area of the triangle is:

[tex]Area = \frac{1}{2} * base * height[/tex]

[tex]A_1 = \frac{1}{2} * l * w[/tex]

Substitute Area for l * w

[tex]A_1 = \frac{1}{2} *Area[/tex]

This equals half the area of the square

The area of the rectangle is:

[tex]Area = length * width[/tex]

The length of the rectangle is now half the length of the original square.

So, we have:

[tex]A_2 = \frac{1}{2} l * w[/tex]

Substitute Area for l * w

[tex]A_2 = \frac{1}{2} *Area[/tex]

From the values of A1 and A2, we can conclude that (a) is true

Recall that the center of dilation is point J. On the logo, identify one or two line segments: that contain the center of dilation that do not contain the center of dilation that lie on a line that passes through the center of dilation Record the names of the line segments you identified and the category they belong to. What differences do you notice in the way these categories of line segments are mapped from the preimage to the image?

PLATO

Answers

Answer:

HA , LJ , and IK contain the center of dilation. Line segments that contain the center of dilation in the preimage also contain the center of dilation in the image. GF , HI , and KL do not contain the center of dilation. Line segments that do not contain the center of dilation in the pre image are mapped onto distinct lines parallel to the original, corresponding line segment. HL does not contain the center of dilation either but it does lie on a line that passes through the center of dilation. Line segments that lie on lines passing through the center of dilation in the preimage lie on the same lines in the image.

Step-by-step explanation:

Plato’s Answer

Answer:

Step-by-step explanation:

HA , LJ , and IK contain the center of dilation. Line segments that contain the center of dilation in the preimage also contain the center of dilation in the image. GF , HI , and KL do not contain the center of dilation. Line segments that do not contain the center of dilation in the pre image are mapped onto distinct lines parallel to the original, corresponding line segment. HL does not contain the center of dilation either but it does lie on a line that passes through the center of dilation. Line segments that lie on lines passing through the center of dilation in the preimage lie on the same lines in the image.

Write an equation of the line with a slope of 23and y-intercept of −8.
y=

Answers

Answer:

y=23x-8

Step-by-step explanation:

Use the formula y=mx+b

y-intercept is b which is -8

the slope is m which is in this case 23

Easy peasy!

i need help asap i’ll give brainliest

Answers

Answer:

x=130 I believe

Step-by-step explanation:

28+8+14+x=180

50+x=180

x=130

If p:q=2/3:2 and p:r=3/4:1/2, calculate the ratio p:q:r

Giving your answer in its simplest form. Thx and God Bless.

Answers

Answer:

i did dude.may God bless you.sorry.l

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