Write a quadratic function in vertex form whose graph has the vertex (1,8) and passes through the point (3,12)​

Answers

Answer 1
vertex form: y=(x-1)^2+8

Related Questions

determine if the following is a function or not
-4,8
-2,8
0,24
4,24
2,16

Answers

Answer:

I think that is a function

Step-by-step explanation:

Yes, that is a function. Since each x value only maps to one y value, it passes the vertical line test and is a function.

10. Find the slope of the line.

Answers

Answer:

-2/1

Step-by-step explanation:

Answer:

67

Because I just know

Engineers are designing a rollercoaster that at one point goes underground. The rollercoaster’s path underground is a large curve. The engineers use the function shown to model the elevation, ܧ ,in feet and ݐ , time, in seconds, of the rollercoaster’s path while it is underground.

Answers

Answer:

One way to solve the quadratic equation x2  = 9 is to subtract 9 from both sides to get one side equal to 0: x2  – 9 = 0. The expression on the left can be factored:

(x + 3)(x – 3) = 0. Using the zero factor property, you know this means x + 3 = 0 or x – 3 = 0, so x = −3 or 3

Step-by-step explanation:

One way to solve the quadratic equation x2  = 9 is to subtract 9 from both sides to get one side equal to 0: x2  – 9 = 0. The expression on the left can be factored:

(x + 3)(x – 3) = 0. Using the zero factor property, you know this means x + 3 = 0 or x – 3 = 0, so x = −3 or 3

Taylor climbed a tree and is sitting on one of the branches deciding if she wants to jump. She weighs 45 kilogram and is sitting 10 meters from the ground. What is her potential energy?

Answers

Answer:

Her potential energy is approximately 4481 J.

Step-by-step explanation:

Because the formula for potential energy is PEg = 9.81 * mass * height, just plug in the knowns. After you plug those in, you will get the potential energy as 9.81 * 450, which is approximately 4481 J.

Find the value of x. Explain your reasoning. (5x − 12) + (x + 6) = because the consecutive angles of a parallelogram are . Solving for x gives x =

Answers

Answer:

x=1

Step-by-step explanation: Snap Add?

I don't know what this means:

"because the consecutive angles of a parallelogram are . Solving for x gives x ="

I know that (5x-12) + (x+6)

1. 5x-12+x+6=0

2.6x-6=0

3.6x=6

4.x=1

-6x+5y=1
6x+4y=-10
what is the answer to this problem by elimination

Answers

Answer:

x= -1 and y= -1

Step-by-step explanation:

Answer:

(-1,-1)

Step-by-step explanation:

-6x+5y=1

6x+4y=-10

Add the two equations together to eliminate x

-6x+5y=1

6x+4y=-10

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

9y     = -9

Divide by 9

9y/9 = -9/9

y= -1

Substitute back into one of the equations to find x

-6x+5y=1

-6x +5(-1) = 1

-6x -5 = 1

Add 5 to each side

-6x -5+5 = 1+5

-6x = 6

Divide by -6

-6x/-6 = 6/-6

x = -1

(-1,-1)

find the 9th term of the geometric sequence 6,-24,96...

Answers

Answer:

A9 = 393216

Step-by-step explanation:

the first thing that will help you solve this question is finding the common ratio between each terms

the first thing that I like to do that usually helps is to take the second term (-24) and divide it by the first term (6) --> this will usually help you spot the common ratio fairly quickly

in your case, the common ratio is -4

- you can also check this by following my note above and then multiplying the second term by the common ratio to see if it matches the third term, which it does!

so now you can go about this two different ways

1. solve directly for the 9th term

2. use the nth term formula for geometric sequences

METHOD 1:

if you continue to multiply by -4 to solve for each term you would end up with:

6, -24, 96, -384, 1536, -6144, 24576, -98304, 393216

and you will recieve 393216 as your answer

METHOD 2:

the nth term formula is An = A1*r^(n-1)

where An = the nth term of the sequence

A1 = first term of the sequence (6)

and r = common ratio

using this formula, you would get:

A9 = 6(-4)^8

A9 = 393216

I hope this helped :)

 

What's the y intercept and slope?

Answers

Answer:

The slope is 4

The y-intercept is 3 OR (0, 3)

Step-by-step explanation:

Points on the graph: ( -1, -1) and (0,3)

Slope:

m=(y2-y1)/(x2-x1)

m=(3+1)/(0+1)

m=4/1

m = 4

Point slope-intercept:

y - y1 = m(x - x1)

y + 1 = 4(x + 1)

y + 1 = 4x + 4

y = 4x + 3

Quadrilateral MNPQ is shown on the grid below.


What is the area, in square units, of the quadrilateral?

A) 182 square units

B) 4550 square units

C) 9100 square units

D) 91 square units

Answers

Answer:

42 square units

Step-by-step explanation:

Find the diagram attached

Area of the diagram = Area of the triangle + Area of rectangle

Area of rectangle = Length * Width

Area of rectangle = 3 * 6

Area of rectangle = 18 square units

Area of triangle = 1/2 * base * height

Get the base of the tringle using the pythagoras theorem;

b^2 = 10^2-6^2

b^2 = 100 - 36

b^2 = 64

b = 8units

height = 6 units

Area of the triangle = 1/2 * 8 * 6

Area of the triangle = 48/2

Area of the triangle  = 24 square units

Area of the figure = 18+24

Area of the figure = 42 square units

find the perimeter of the polygon

Answers

1. Add all of the sides

So it should be 22
perimeter = add all sides tgther
4+4+7+7 = 22

the radius of a circle is 8 what is the area of the circle? pls show work

Answers

Answer:

201.06

Step-by-step explanation:

A=πr2=π·82≈201.06193

Answer:

201.14 ≈ 201 unit²

Step-by-step explanation:

Area of circle = πr², where π is either 3.14 or 22/7 or 355/113. Mostly it is 22/7.

=> area of circle = (22/7) (8)² unit²

=> area of circle = (22 x 64)/7 unit²

=> area of circle = 201.14 unit²

If we take π = 3.14

=> area of circle = (3.14)(8)² = 200.96 unit²

Find the measure of
A 43•

B. 223•

C180•

Answers

Answer:

43

Step-by-step explanation:

subtract 157 from 180 and you get your answer if 43.

Please help ASAP !!!!

Answers

Answer:

AB(12, -8)?

Step-by-step explanation:

I think that's it but I haven't done something like this in a hot minute. If it's wrong I'm sorry

Practice
w
MULTIPLE CHOICE
John is 4 years older than Ben. If John is 12, what is Ben's age?

Answers

I think Ben’s age is 8
8 ,if john is 12 and 4 years older then it would be 12-4 which equals 8


[tex] \sqrt[4]{48x}^{4} [/tex]
Someone please help me this is so confusing, Please no links and do it step-by-step Thank you!!!

Answers

Answer:

48x

Step-by-step explanation:

[tex](\sqrt[4]{48x} )^{4}[/tex] = [tex]\sqrt[4]{(48x)^{4} }[/tex] = 48x

Each marble bag sold by Henry's Marble Company contains 5 purple marbles for every 4 orange marbles. If a bag has 20 orange marbles, how many purple marbles does it contain?

Answers

Answer:

25

Step-by-step explanation:

If it's 5 for every 4 and the bag has 20, 4*5 = 20 and you'd have to do that to the 5 as well to get 5*5=25.

A footballer attempted 30 goals during a match and only makes 12. What fraction of the attempted goals did he make?

Answers

Answer:

2/5

Step-by-step explanation:

you have to reduce each number by 6

Answer: 12/30 or 2/5

Find KJL (5x-2) (9x-62)

Answers

Answer:

45x^2-328x+124

Step-by-step explanation:

How many triangles can a heptagon be divided into? 3 5 4 6

Answers

Answer:

5 triangles.

Step-by-step explanation:

Answer:

5 or 4

Step-by-step explanation:

solve for x
x^9=12^2x12^7

Answers

Answer:

12

Step-by-step explanation:

Hi!

Here is your answer,

I will explain in step by step,

[tex] {x}^{9} = {12}^{2} \times {12}^{7} [/tex]

Here we can simplify this further using this law,

[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]

So we will get,

[tex] {x}^{9} = {12}^{7 + 2} \\ {x}^{9} = {12}^{9} [/tex]

Since the powers are same we can cancel it out and we will get,

[tex]x = 12[/tex]

(Hope this answer helped :))

wich mathematical expression represent this statement?the sqaure of a number times 3

1. 7n
2. 3n^2
3.2n + 8
4. n^3/ 2​

Answers

Answer:

2

Step-by-step explanation:

( n^2)×3 can be written as 3(n^2)

If the area of a rectangle is
(15x2 - 16x - 15) square feet,
and its length is (3x - 5) feet,
find its width.

Answers

Answer:

255

Step-by-step explanation:

(15x2 - 16x - 15) = 270

(3- 5) = -15

270

-  -15

= 255

find the value of given expression

[tex] \sqrt{60 \times 60} [/tex]

Answers

Step-by-step explanation:

it is 3.600 this is my answer

Answer:

√(60×60)=√60²=±60 is your answer

what is the intersection point of function f and g

Answers

Answer:3,15) and (-1.5, 1.5)

Step-by-step explanation:

If g(x) = 2x² - 3

2. Which polynomial has a leading coefficient of 5 and a degree of 4?
a. 3x5 - 4x6 + 2
b. 2x + 5x4 - 3x3
c. 6x + 4x5 - 2x2
d. 3x + x2 - 5x4

Answers

Answer B. since it has 5x^4

PLEASE HELP ASAP WILL GIVE BRAINLIEST
The scatter plot shows the number of hats and scarves each knitter sold at a knitting show.
How many hats did the knitter who sold 8 scarves sell?
A. 6
B. 5
C. 3
D. 1

Answers

Answer:

C- 3

Step-by-step explanation:

Hegarty please help me

Answers

Answer:

wait let me try and see this carefully and then I will help you

Which number is in the solution set of this equation? 7x − 9 = 40

Answers

Answer: the answer is 7

Step-by-step explanation: add 9 to both sides, eliminating -9 so now you have 7x=49 divide both by 7 and you get x= 7 check it by inputing 7 for x, 7(7)-9=40

7(7)=49 next 49-9= 40

it checks out, so x= 7

pls help will mark brainliest if correct

Answers

Answer:

its D Please put me as brain eat if correct

1A) Quad ABCD is inscribed in the circle. Find x. *
1B) Using your answer from above, what is angle A? *
103
77
90
25

Answers

Answer:

∠A = 77°

Step-by-step explanation:

Given:

Inscribe quadrilateral

Opposite angles

∠A = (2x + 9)°

∠B = (3x + 1)°

Find:

Value of ∠A

Computation:

We know that in Inscribe quadrilateral sum of Opposite angles are 180

So,

(2x + 9)° + (3x + 1)° = 180°

5x + 10 = 180

x = 34°

So,

∠A = (2x + 9)°

∠A = 2(34) + 9°

∠A = 77°

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