Mathematics High School

The vertex of a quadratic function is (6, 2), and the y-intercept of the function is (0, −70). The equation of the function in vertex form, f(x)=a(x−h)2+k, is shown.−70=a(0−6) squared+2

Answers

Answer 1

Answer:

The equation of the function in vertex form is represented by [tex]y = -2\cdot (x-6)^{2}+2[/tex].

Step-by-step explanation:

Let [tex](h,k) = (6,2)[/tex] and [tex](x,y) = (0, - 70)[/tex], now we substitute on the equation of the quadratic function and solve for [tex]a[/tex]:

[tex]y = a\cdot (x-h)^{2}+k[/tex]

[tex]-70 = a\cdot (0-6)^{2}+2[/tex]

[tex]-70 = 36\cdot a + 2[/tex]

[tex]36\cdot a = -72[/tex]

[tex]a = -2[/tex]

Therefore, the equation of the function in vertex form is represented by [tex]y = -2\cdot (x-6)^{2}+2[/tex].

Answer 2

Answer:

THE ANSEWR IS BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

b the seconed option

Related Questions

If the vertices of APQR are P(0,0), Q (2,0) and R(1,3),
classify the triangle.

Answers

Answer:

ΔPQR is a isosceles triangle

Step-by-step explanation:

P (0,0) Q (2,0) R (1,3)

PR² = (3-0)² + (1-0)² = 10

RQ² = (3-0)² + (1-2)² = 10

PR = RQ

ΔPQR is a isosceles triangle



Tyler also wants to leave a tip for the server. How much do you think he should pay in all? Explain your reasoning.

Answers

Easy split the overall top

NEED HELP ASAP WHAT IS THE ANSWE (GIVING AWAY POINTS IF YOU ANSWER)

Answers

Answer:  (1,2)

Step-by-step explanation:

For a graph the solution is where the lines cross, and if you look closely, the lines intersect at x=1 and y=2. You are right

Answer:

(1,2)

Step-by-step explanation:

th term of a seq uence is n(n-4) /n+3 Work out the sum of the 1st and 6th terms.

Answers

Answer:

7/12

Step-by-step explanation:

The nth term Tₙ = n(n-4) /n+3.

The 1st term T₁ = 1(1 - 4)/(1 + 3) = -3/4

The 6th term T₆ = 6(6 - 4)/(6 + 3) = 6(2)/9 = 2(2)/3 = 4/3

So,  the sum of the 1st and 6th terms is T₁ + T₆ = -3/4 + 4/3

= (-9 + 16)/12

= 7/12

How are slope and speed related?​

Answers

Answer:

you will get speed on a slope and you will get speed with speed  (:

Step-by-step explanation:

Answer:

The joint dependence of locomotive power on speed and slope is crucial in the non-stationary conditions where the skier passes high and low points along the track where both speed and slope change rapidly.

Step-by-step explanation:

Hope this helps you and also when your going down a slope there is movement which in this case you will pick up speed. If your trying to go up a slope your not going to move as fast rather slow.

Exponential part 3. :) thx ☺️

Answers

Answer:

Answer will be 4

Step-by-step explanation:

Okay, again solve all the exponents.

16^5/4=32

16^1/4=2

Multiply 32x2= 64

For the denominator:

16^1/2= 4

4^2= 16

Your left with 64/16

Divide 64/16 and that will give you 4

I mean I got 1/4 hey you should probably check your answer again

Please Help ASAP! The question is in the picture.

Answers

Answer:

$150012.84 or $150013 rounded

The growth factor is 1.07

Step-by-step explanation:

First create the equation:

y=1.07x+150,000

Then substitute:

y=1.07(12)+150,000

Calculate:

y=150012.84

what is the area of the triangle? 3, 6, 6.7

Answers

Answer:

A=12bh

Step-by-step explanation:

Answer:

bxh/2 thant is the area of the rectangle please mark me  at a brainliest

Step-by-step explanation:


A recipe calls for 24 eggs to 4 cakes. The unit rate is the number of eggs per
each cake. What is the number of eggs per each cake?

Answers

The unit rate of the eggs for each cake is 6. Because 24/4=6

20 POINTS LEGIT ANSWERS ONLY! can someone explain how I do this in steps and examples? (picture below)

Answers

It’s not 20 points tho...

i really need help fast

Answers

Answer:

x=2

Step-by-step explanation:

Since rectangles have 90* angles at each corner, we can say the two equations in the corner equal to 90*

so,

13x+34+10x+10=90

23x+44=90

23x=46

x=2

Samuel purchased 212 pounds of nuts for $10.50.

How much will 514 pounds cost?

Enter your answer in the box.

Answers

Answer:

$22.05

Step-by-step explanation:

2 1/2/10.5=5 1/4/x

55.125=2 1/2x

x=22.05

Hope this helps plz hit the crown :D

Answer:

22.05

Step-by-step explanation:

HOPE THIS HELPS


Which equation is NOT equivalent to 1/25
A) 53.5-5
B) 5-1.5-1
C) 53.5
D) 5-2.54

Answers

Answer:

i think its b

Step-by-step explanation:

Factorise x^2 + x - 12

Answers

Answer:

(x+4)(x-3)

Step-by-step explanation:

I'm italian. I used a formula that we Italians call "somma e prodotto". Tell me if it's correct.

Hello friend I am sending you this picture

The slope is the same between any two points on the same line.
False
True

Answers

Answer:

true

Step-by-step explanation:

if there are two points all on the same line the slope wont change.

Write an equivalent expression 2x + 3 + 5x + 6 by combining like terms.
Please help I need it fast!!!!!!

Answers

answer: 7x + 9

you add the x terms together and add 3 and 6 together

Answer:

Step-by-step explanation:

ASAP ASAP ASAP PLS ANSWER ASAP ASAP ASAP

Answers

Answer:

You need 2.11 quarts of strawberries

and 3.17 pints of blueberries

Step-by-step explanation:

2.11 quarts of strawberries

3.17 pints of blueberries

If 6 less than one third of Christine age is no more than 18 , how old is she . And how did u get the answer

Answers

Answer: >72

Step-by-step explanation:

x*1/3-6=<18

1/3*x=<24

x=<72

Christine is more than 72 years old

I NEED THIS NOW HELLLPPP PLDDD

Answers

Answer:

-7/2

Step-by-step explanation:

Use two points.

(6, -21) and (12, -42)

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

slope = (-42 - (-21))/(12 - 6)

slope = -21/6

slope = -7/2

Use the Law of Cosines to find the values of x and y.

Answers

Answer:

x ≈ 41.4°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Pre-Calculus

Law of Cosines: c² = a² + b² - 2(a)(b)cosC°

Step-by-step explanation:

Step 1: Identify Variables

C° = x°

c = 12

a = 15

b = 18

Step 2: Solve for x

Substitute [LC]:                    12² = 15² + 18² - 2(15)(18)cosx°Exponents:                           144 = 225 + 324 - 2(15)(18)cosx°Add:                                      144 = 549 - 2(15)(18)cosx°Multiply:                                144 = 549 - 540cosx°Isolate x term:                      -405 = -540cosx°Isolate x term:                      3/4 = cosx°Isolate x:                               cos⁻¹(3/4) = x°Evaluate:                               x = 41.4096°Round:                                  x ≈ 41.4°

.
The price p of a pizza is $6.75 plus $0.75 for each of the t toppings on the pizza.

Answers

6.75+0.7=7.5 or 7.50

The point (0, 5) is the midpoint between (-18,-10) and what other point?

Answers

the other mid point would be (4, 5) if its wrong im

really sorry but im pretty sure its the right answer.

CAN SOMEONE PLEASE HELP ME WILL MARK BRAINLIESTTT

Answers

Answer:

375 cm

Step-by-step explanation:

Answer:

375 miles.

Step-by-step explanation:

If 1 inch = 50 miles, then 7.5 inches =

7.5 x 50 = 375.

Good luck! <3

HELP PLEASE
Write an equation of a line perpendicular to line CD below in slope-intercept form that passes through the point (−1, 6). Line CD is shown. C is at 1, 1. D is at 3, 5.
A) y = −0.5x − 5.5
B) y = −0.5x + 5.5
C) y = 2x + 13
D) y = 2x − 13

Answers

Answer:

i believe it's b:))

Step-by-step explanation:

Answer:

I don't know but I am pretty sure it can't be C or D.

Step-by-step explanation:

The slope of line CD simplifies to 2, so for the perpendicular line to be perpendicular, it must be an opposite reciprocal, meaning -1/2 or -0.5. I don't know what B equals though, whether it is positive or negative.

Hope that helps. (:

Pl help me it’s for homework

Answers

Answer:

Option D: Multiply the second equation by 4 and then add the result to the first equation is the correct answer.

Step-by-step explanation:

Given that:

x-4y = 2

2x+y = 12

For elimination, one of the variable is eliminated.

In this system,

we can either multiplying the first equation by 2 or second equation by 4.

Then we can add the equations.

By multiplying the second equation with 4 and then adding both equations, we can eliminate the variable y.

4(2x+y=12)

8x+4y=48

By adding

(x-4y)+(8x+4y)=2+48

7x=48

Hence,

Option D: Multiply the second equation by 4 and then add the result to the first equation is the correct answer.

If AABC ~ AAVW, find the value of x and y?

Answers

Answer:

what's the question

Step-by-step explanation:

is there any numbers involved

What is the solution to 3(4x - 8) = 4(6 - 3x) ?

Answers

Answer:

2

Step-by-step explanation:

distributive

12x-24=24-12x

combining terms

12x-24+12x=24

24x-24=24

24x=48

x=48/24

x=2

3(4x - 8) = 4(6 - 3x) =

x=2

Enter an expression equivalent to (a^9/a^3) in the form a^m

Answers

Answer:

Step-by-step explanation:

[tex]\frac{a^{9} }{a^{3} } =>[\frac{a^{3} }{a} ]^{3}[/tex]

I NEED HELP ASAP!!!!!!

What is the slope-intercept equation?

A). y= -8x -3

B). y= 2/3x -3

C). y= -2/3x +3

D). y= 2/4x + 3

Answers

Answer: C) y= -2/3 + 3

Step-by-step explanation:

Question 4 (1 point)
At Papa's Pizza, a small pizza has
a diameter of 8 inches and a large
pizza has a diameter of 11 inches.
How much greater is the area of a
large pizza than a small pizza?
PLEASE HELP!!!!!

Answers

Answer:

Well  the answer would be 3 inches to figure it fully out my best guess is 3

Step-by-step explanation:

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