y=1/2(x+4)(x-2) vertex

Answers

Answer 1

Answer:

            (-1, -4.5)

Step-by-step explanation:

[tex]y=\frac12(x+4)(x-2)\quad\implies\quad x_1=-4\,,\ \ x_2=2[/tex]

vertex is (p, q) where:

[tex]p=\dfrac{x_1+x_2}2=\dfrac{-4+2}2=\dfrac{-2}2=-1\\\\q=f(p)=\frac12(-1+4)(-1-2)=\frac12(3)(-3)=-\frac92=-4.5[/tex]

So the vertex is: (-1, -4.5)


Related Questions

Given the relation A = {(5,2), (7,4), (9,10), (x, 5)}. Which of the following values for x will make relation A a function?


9

4

7

Answers

It will be the first one 9

Mr. Brown cuts 3/4 inch sections of wood to make a birdhouse roof. He cut 36 sections. How many inches did he cut?

Answers

Answer:

27 Inches

Step-by-step explanation:

Use the calculator to evaluate the function y = 1 *2 - 2 for the given values of x.
x= 4, y =
x=6, y=

Answers

Answer:

when x= -4, y= 2

when x= 6, y =7

Step-by-step explanation:

We have the x values, so we can plug them in and solve. for the first problem, it becomes y =1/4 (-4)^2 -2

first we do the exponent

y= 1/4 (16) - 2

Then the multiplication

y= 4-2

then subtraction

y=2

For the second problem, it becomes y= 1/4 (6)^2 -2   We follow the same steps

y = 1/4 (36) - 2

y= 9-2

y= 7

The function y = 1 *2 - 2 for the given values of x are

when x= -4, y= 2

when x= 6, y =7

We have the x values, so we can plug them in and solve. for the first problem, it becomes y =1/4 (-4)² -2

First we do the exponent

y= 1/4 (16) - 2

Then the multiplication

y= 4 - 2

then subtraction

y = 2

For the second problem, it becomes y= 1/4 (6)² -2   We follow the same steps

y = 1/4 (36) - 2

y = 9 - 2

y = 7

Learn more about function here:

https://brainly.com/question/33062106

#SPJ4

Avery and Carmen both have summer jobs Avery gets paid $360 every four weeks, and gets paid $480 every six weeks summer break lasts a total of 12 weeks who earn more money during summer break every earns dollars per week Carmen earns dollars per week

Answers

Answer:

Avery earns $1,080 during summer

Avery weekly earnings = $1,080 / 12

= $90

Carmen earns $960 during summer

Carmen weekly earnings = $960/12

= $80

Carmen earns more money during summer break

Step-by-step explanation:

Avery payment = $360 every four weeks

Carmen payment = $480 every six weeks

summer break lasts a total of 12 weeks

Avery pay during summer = Total summer break weeks / 4 weeks × payment per 4 weeks

= 12 / 4 × $360

= 3 × $360

= $1,080

Carmen pay during summer = Total summer break weeks / 6 weeks × payment per 6 weeks

= 12 / 6 × $480

= 2 × $480

= $960

Avery earns $1,080 during summer

Avery weekly earnings = $1,080 / 12

= $90

Carmen earns $960 during summer

Carmen weekly earnings = $960/12

= $80

Carmen earns more money during summer break

Answer:

Step-by-step explanation:

Avery earns $1080 in 12 weeks

Carmen earns $960 in 12 weeks

Royce is taking violin lessons. The instructor charges an initial fee and an hourly fee. The amount Royce pays based on the length of his lesson is shown in the graph below. What is the instructor’s hourly fee?

$15 per hour
$22 per hour
$26 per hour
$37 per hour

Answers

the answer is $15 per hour

Answer: A just got it on edge

24/root 3 multiply root 3/root 3

Answers

8 root 3 is the answer because you rational the denominator

Mark has $146 in his savings account. He withdraws $41, deposits $98, and then withdraws $64. Find the balance of his account.

What's the answer?

Answers

Answer:

$139

Step-by-step explanation:

subtract 41 from 146

=105

add 98

=203

subtract 64

=139

146 - 41 = 105
105 + 98 = 203
203 - 64 = 139

Mark Has A Balance Of $139.00 In His Savings Account.

I Hope This Helps! (^_^)

Enter the improper fraction as a mixed number. 5\2

Answers

Answer:2 1/2

Step-by-step explanation:

what is simply 6x-9x​

Answers

it should be -3x but i could be wrong

4 movie tickets cost $48. At this rate, what is the cost of 11 movie tickets?

Answers

Answer:

$132

Step-by-step explanation:

48÷4=12 so 12 times 11 equals 132

y=(-6)3x-8=
what is the answer

Answers

Answer:

8

Step-by-step explanation:

Which of the following rules could represent the function shown in the table?
f(x) = -2x
f(x) = 2x-1
f(x) = 2x+1

Answers

Answer: f(x) = 2x+1

Step-by-step explanation: Substitute the variable with the “x” values in the chart to check your answers.

1. f(x) = 2x+1

Add in the “x” value

f(x) = 2x(-1) or 2 multiplied by -1

f(x) = -2 + 1

If the answer is equal to your “y” value , it can represent the function.

ILL GIVE BRAINLIEST 2 THE 1ST PERSON WHO ANSWERS

Answers

Answer:

b

Step-by-step explanation:

Plsss help, will reward brainliest!!! Thank you.



Look at picture^^^

Answers

Answer:

-2b and -0.9b and b/12

Step-by-step explanation:

Write a two-column proof to verify each conjecture: If -1/3n = 12, then n = -36. This is for geometry btw. Any help would be much appreciated, thanks.

Answers

Answer:

Step-by-step explanation:

statement        reasoning

n = -36               given

-1/3 x -36 = 12    multiplcation property of equality

12 = 12                reflexive property

If 120 million roses were sold on Valentine's Day, and 75% of the roses were red, how
many red roses were sold on Valentine's Day?

Answers

Answer:

Step-by-step explanation:

120 million * .75

90 million roses were sold on valentines day

Answer:

there were 90 roses sold on valentines day

Step-by-step explanation:

part=%*whole

p=75%*120

p=90

Write the Equation in standard form The line which passes through (1,-4) and (-1, 6)

Answers

y= -5 there is no b in the equation y=Mx+b because the it passes through the origin

Brett, who is 5 ft tall, is standing next to a flag pole. Brett's shadow is 8 feet long. The flag
pole's shadow is 24 feet long. How tall is the flag pole?

Answers

Answer:

15 is the answer

Answer:

15

Step-by-step explanation:

Multiply the length of the flagpole's shadow by your height, and then divide the resulting number by the length of your shadow.

(24x5)/8

120/8

15

please mark as brainliest!!!

Arnold puts $580 in a savings the account pays 3% simple interest. how much interest will he earn in 5 years

Answers

Answer:Arnold earns $87 of interest in 5 years.

Step-by-step explanation:

solve for x in terms of y: 5y = 3x + 2

Answers

Answer:

d. x = 1/3 (5y - 2)

Step-by-step explanation:

5y = 3x + 2 (subtract 5y and 3x on both sides)

-3x = -5y + 2 (divide by -3 or multiply by 1/3)

x = 1/3 (5y - 2)

please help me and show all work 30 points
5x-(3x-6)=18

2(3x-4)=10

2x+7=5x+16

Answers

Answer:

5x-3x-6=18

2x=18+6

2x=24

x=24÷2

x=12

F(x) = 2x2 + 1 what is f(x) when x = 3 ?

Answers

Answer:

2x^2 +1   (x=3)

2(3)^2 +1

6^2 +1

36+1

37

what are all the different methods for solving quadratic equations? discuss the pros and cons of each. what indicators predict when a quadratic equation will have a complex solution

Answers

Answer: are factoring, using square roots, completing the square and quadratic formula.

Step-by-step explanation:

ASAP NEED HELP!!!!!!!!!

B=R/H Solve for H

Answers

Answer:

h = r/b

Step-by-step explanation:

Answer:

H = R         B

Step-by-step explanation:

H = R  

      B

Given the expression 2m - 7x + 6 + 3x - 4 what are the CONSTANTS?

Answers

4 and 6 are constants

Answer:

The constants are 6 and 4

Step-by-step explanation:

They don’t have variables next to them

HELP ME PLEASEEEE
I only know how to do this in division, not multiplication

Answers

Answer:

360 × 30

= (360 × 3) × 10

= 1080 × 10

= 10800

Step-by-step explanation:

For the first two blanks, we will have to find a pair of factors of 30 that will make this the easiest to solve. Lets pair up all of the factors of 30.

1, 30

2, 15

3, 10

5, 6

So now we have found all of the factors of 30. We can eliminate 1 and 30, since we will just end up with 360 × 30 in the second line. We could use 2 and 15, but we will end up with _____ × 15 in the second line, which would be more difficult to solve for than the other two options. Now, you should use any one of the final two pairs of factors. I would use 3 and 10, since I find it much easier to multiply something by 3 and 10 than 5 and 6.

Lets put 3 in the first blank and 10 in the second blank. We will end up with:

(360 × 3) × 10

Now 360 × 3 would be 1080. So the second line would be:

1080 × 10

1080 × 10 would equal 10800. So the final line and the final blank would be:

10800

So in order, the lines would be:

= (360 × 3) × 10

= 1080 × 10

= 10800

I hope you find my answer and explanation to be helpful. Happy studying.

3) The square root of 3.052009 has
decimal places​

Answers

Answer:

uhm yes 1.747

Step-by-step explanation:

Answer:

1.7469999999

Step-by-step explanation:

Max has 3 textbooks and 2
notebooks in his backpack. The total
weight of his backpack and its
content is 10,5 pounds. Each
textbook weighs 2.5 pounds. Each
notebook weighs 0.25 pound. What
is the weight of Max's empty
backpack?

Answers

Answer:

2 pounds

Step-by-step explanation:

3 • 2.5= 7.5
2•.25=.5
7.5+.5=8
10.5-8=2.5
Max’s empty backpack weighs 2.5 pounds

What is an eqination of the line that passes through the point (-3, -7) and parallel to the line 3x-y=5
I need the y=mx+b

Answers

Answer:

y = 3x + 2

Step-by-step explanation:

First you need to change the way the equation is said into a easier form:

y = 3x - 5

Since the line is parallel, you can use the same slope of 3:

y = 3x + b

Now you plug in the coordinates into the equation and solve for b:

-7 = 3 ( -3) + b

-7 = - 9 + b

-7 + 9 = b

2 = b

Now plig this into the equation and you have the answer

y = 3x + 2

I need two answers pls

Answers

I know that one is 9/44. I’m not sure about the other one, sorry!
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