Use the method of symmetry to find the extreme value of each quadratic function and the value of x for which it occurs. g(x)=2x^2+14x-16

find x intercepts,
midpoint of x intercepts
whether the extreme value is minimum or maximum
write in g(midpoint)=______

Answers

Answer 1

Step-by-step explanation:

Given function:

g(x) = 2x² + 14x - 16

Find x intercepts:

2x² + 14x - 16 = 0x² + 7x - 8 = 0x² - 1 + 7x - 7 = 0(x - 1)(x + 1) + 7(x - 1) = 0(x - 1)(x + 8) = 0x = - 8, x = 1

Midpoint of x intercepts:

1/2(-8 + 1) = -7/2 = - 3.5

Whether the extreme value is minimum or maximum:

Its minimum as the leading coefficient is positive

Write in g(midpoint):

g(-3.5) = 2(-3.5)² + 14(-3.5) - 16 = - 40.5

The vertex is: (- 3.5, - 40.5)

Answer 2

Answer:

g(x) = 2x² + 14x - 16

2x² + 14x - 16 = 0

x² + 7x - 8 = 0

x² - 1 + 7x - 7 = 0

(x - 1)(x + 1) + 7(x - 1) = 0

(x - 1)(x + 8) = 0

x = - 8, x = 1  

1/2(-8 + 1) = -7/2 = - 3.5  

Take minimum as the leading coefficient is positive  and write in g(midpoint):

g(-3.5) = 2(-3.5)² + 14(-3.5) - 16 = - 40.5

The vertex is: (- 3.5, - 40.5)


Related Questions

PLS I NEED HELP FOR THIS!​

Answers

make all of the fractions have the same denominator, although what you do to the bottom you have to do to the top

for example 1:
3/5 - 1/7 the closest denominator that they both are able to multiply up to is 35 (7x5 and 5x7) so change them both and then multiply the top (1x5 and 3x7) then subtract giving you your answer

(not 100% sure i have not done these for years but that’s all i remember if you have notes check those fs!!!!)

which expressions is equivelent to 6h +18

Answers

You can reduce it with the greatest common factor, which is 6.

6h + 18

6(h + 3)

Answer:5x – 4y = 18 x + 3y = ...

Step-by-step explanation:

Which system is equivalent to the system shown and could be used to solve the system of equations correctly using the elimination method?

USE A MODEL Olivia and her brother William had a bicycle race. Olivia rode at a speed
of 20 feet per second, while William rode at a speed of 15 feet per second. Olivia gave
William a 150-foot head start and the race ended in a tie.
How far away was the finish line from where Olivia started

Answers

Answer:

Step-by-step explanation:

The distance from where Olivia started to the finish line is 600 foot

How determine how far away was the finish line from where Olivia started?

A model function is a way of describing a real-life system or situation using mathematical concepts and language

If Olivia rode at a speed of 20 feet per second, while William rode at a speed of 15 feet per second. Olivia gave William a 150-foot head start.

We can write write a linear model function for both Olivia and William as follows:

Olivia: y = 20x

William: y = 15x + 150

where y is the distance and x is the time taken to reach finish line

Since the race ended in a tie (i.e. draw), we can equate the two functions:

20x = 15x + 150

20x -15x = 150

5x = 150

x = 150/5

x = 30 seconds

Thus, the distance from the finish line to where Olivia started can be determined by substituting x = 30 into y = 20x. That is:

y = 20(30) = 600 foot

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Fifteen girls left a mixed group of boys and girls. There remained two boys for each girl. After this, 45 boys leave the group, and there were 5 girls for each boy. Determine the number of girls in the
original group.

Answers

Sorry i cant answer this way too hard for me

On a basketball team, 2 of the 5 starting players are taller than 6

feet.

What percent of the starting players are taller than 6
feet

Answers

[tex] \frac{2 }{5} \times 100 = \\ [/tex]

[tex]40[/tex]

Thus 40 percent of the starring players are taller than 6 feet.


The revenue from selling x hats is r(x) = 18x.
The cost of buying x hats is c(x) = 8x+ 30.
The profit from selling x hats is p(x) = r(x) - c(x).


Write a function for p(x), the profit from selling x hats.

A. p(x) = 10x - 30
B. p(x) = 26x + 30
C. p(x) = 26x - 30
D. p(x) = 10x + 30

Answers

Answer:

A. p(x) = 10x - 30

Step-by-step explanation:

Given:

r(x) = 18x andc(x) = 8x+ 30

Find p(x) by substituting the above into the following equation:

p(x) = r(x) - c(x)p(x) = 18x - (8x + 30) = 18x - 8x - 30 = 10x - 30

Correct choice is A

(3y^3)^2 without exponents

Answers

When raising one power to another power multiply the two powers together:

(3y^3)^2 = 3y^(3 * 2) = 3y^6

Answer: 3y^6

The expression [tex](3y^3)^2[/tex] is simplified by applying the exponent rules and the value is [tex]9y^6[/tex]

Given data:

The expression [tex](3y^3)^2[/tex]  can be simplified by applying the exponent rules. To remove the exponents, we multiply the base and raise it to the power of the product of the outer and inner exponents. In this case, the base is [tex]3y^3[/tex], and the exponent is 2.

First, square the numerical coefficient, which is 3, to get [tex]3^2 = 9[/tex]. Next, apply the exponent to the variable term [tex]y^3[/tex] by multiplying the outer exponent (2) with the inner exponent (3), resulting in  [tex]y^(3 * 2) = y^6[/tex].

Hence, [tex](3y^3)^2[/tex]  simplifies to [tex]9y^6[/tex] . This means that the expression represents the result of squaring the quantity [tex]3y^3[/tex], resulting in 9 times the sixth power of y. It's essential to understand and apply exponent rules to efficiently simplify expressions and evaluate mathematical operations without using exponents directly.

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Number 5 am stuck pls help

Answers

Answer:

im going to be honest i havent done this since las year and so i dont remember the value of that line outside but i think its 70*

Step-by-step explanation:

reason is because the c is originally 180* but it has more of and angle so the angles obv increases and you can get the angle by multiplying 70*times 7x and divide by 3

i say 3 because of the amount of angles in a triangle and the line outside if i remember correctly is the "angles" of a triangle  and that would be your answer

please answer right ............................................

Answers

Answer:

4 Child tickets (I think...)

Solve this for brainless and points please and thanks

Answers

Graphing: Top left corner (2,-2)
Goes straight down through the bottom right corner (1,-4)
Have a great day/night

[tex]\\ \sf\Rrightarrow 2x+y=-2[/tex]

Isolate y

[tex]\\ \sf\Rrightarrow y=-2x-2[/tex]

m=-2b=-2

Graph attached

Sarah is making scarves. She has 10 1/2 yards of fabric to make the scarves. If each scarf requires 4 yards of fabric, how many scarves can Sarah make? PLEASE HELP ​

Answers

Answer:

2

Step-by-step explanation:

We know 10 1/2 is basically 10.5 or 21/2

To find the max amount of scarves she can make, simply divide the number of yards she has by 4. This will get you the number of scarves she can create.

[tex]\frac{21/2}{4} = \frac{21}{2} * \frac{1}{4} = 21/8 = 2.625[/tex]

Well.. we don't want to make .625 of a scarf since that would be ridiculous, so we will round it down to 2 since we can't make 3 either.

The max amount of scarves she can make is 2.

PLEASE HELP DUE NOW!!!
WILL MARK BRAINLIEST!!!

Answers

Answer: (5,1)

Step-by-step explanation:

Divide both sides of the equation by 3, Eliminate the x's and you should have 6y=6. After solving y to be 1 plug it into one of the equations to find x

The sum of 2.25 and half a number is −4.

What is the number?

Enter your answer as a decimal in the box.

Answers

Answer:

K12 Answer

Step-by-step explanation:

The solution of the linear equation 2.25 + n / 2 = −4 will be −12.5.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The sum of 2.25 and half a number is −4.

Let 'n' be the number. Then the equation is given as,

2.25 + n / 2 = −4

Simplify the equation, then we have

2.25 + n / 2 = −4

n / 2 = − 4 − 2.25

n / 2 = −6.25

n = −12.5

The solution of the linear equation 2.25 + n / 2 = −4 will be −12.5.

More about the solution of the equation link is given below.

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Plz help I need help

Answers

♪Answer : 9(2 + 5m) = 9(2) + 9(5m)= 18 + 45m

⏩Option (D.)

What is the solution to the system of equations?
y
+3
X = -2
15
o (-2, 3),
(2)
(-2공
ㅇ(-2, )
0

Answers

Answer:

d

Step-by-step explanation:

THE IMAGE HAS ALL THE INFO

PLEASE DON’T SEND A LINK

Answers

Answer:

y =6x + 8

y =6(-3) +8

y= -18 + 8

y= -10

Find x for brainiest

Answers

Answer:

x=36

Step-by-step explanation:

These angles added together equal 180 degrees

2x + 3x =180

5x = 180

x = 36

Answer:

x  = 36    

Step-by-step explanation:

2x and 3x are supplementary angles they both add up to 180 degree Therefore 2x + 3x = 180   5x = 180   180/5 = x      x  = 36    

Write an expression that shows how to multiply 4x362 using place value

Answers

Answer:

362x4

This equals 1448

Step-by-step explanation:

Answer:

362

  x4

---------

Step-by-step explanation:

because we're using place value we need to line up the numbers, 4 below the 2 and so on.

Name 4 fractions that are equivalent to 9/12. Show your work

Answers

Answer:

3/4

6/8

12/15

15/18

Step-by-step explanation:

Answer:

3/4, 18/24, 27/36, 36/48

Step-by-step explanation:

9 and 12 can both be divided by 3 to equal 3/4

9/12 times 2 is 18/24

9/12 times 3 is 27/36

9/12 times 4 is 36/48

hope this helps:)

George deposited $900 in an account that earns 5% annual compounded annually. How much
interest will the account earn after 3 years, if he makes no withdrawals or deposits?
A $63.05
B $80.00

Answers

Answer: A

Step-by-step explanation: Hope this helps :)

simplify the fraction 90/100

Answers

Answer:

9/10

Step-by-step explanation:

hope this helps

Answer:

9/10

Step-by-step explanation:

divide top and bottom by 10

The measure of angle ABC is 160°.
The measure of angle ABD is 95°.
The measure of angle DBC is xº.
Find the value of x.

Answers

Answer:

65°

Step-by-step explanation:

160 - 95 = x

x = 65

A quality control inspector has drawn a sample of 18 light bulbs from a recent production lot. If the number of defective bulbs is 2 or less, the lot passes inspection. Suppose 30% of the bulbs in the lot are defective. What is the probability that the lot will pass inspection? Round your answer to four decimal places.​

Answers

Answer:

ur a lightbulb head

Step-by-step explanation:

wnjrn jrnvef vjefvj efjvf vf vn fvfv fnv nf vnf vn fnv fn vnf vnf vnf nf nf vnf nf vn fnv nf vnf vnf vnf vnf vnf nv fnv nf vnf vnf vn fnv fnv nf vnv nf vnf vnf vnf vn

A well with 40 m internal diameter is dug 14 m deep. The soil taken out is spread all around to a width of 20 m to form a circular embankment, find the height of the embankment.
ـ Don't Spam➠ ​

Answers

Step-by-step explanation:

Given

A well with 40 m internal diameter is dug 14 m deep. The soil taken out is spread all around to a width of 20 m to form a circular embankment, find the height of the embankment.

[tex]{\qquad{\rule{150pt}{1pt}}}[/tex]

To Find

Height Of Embankment?

Solution

Explaination

Attachment

find the value of h

Answers

Answer:

  h = 1

Step-by-step explanation:

The h in f(x) = |x -h| is the number of units the graph of f(x) is shifted to the right. The blue graph vertex is 1 unit to the right of the black graph vertex, so ...

  h = 1

1) Which graph represents the equation y = 1/2x + 3
Plz help

Answers

Answer:

c

Step-by-step explanation:

Expand 4x(7x-11)
For maths
Help please

Answers

here is the answer please mark me bainliest

The expand form will be;

⇒ 28x² - 44x

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 4x (7x - 11)

Now,

Solve the expression as;

⇒ 4x (7x - 11)

⇒ 4x × 7x - 4x × 11

⇒ 28x² - 44x

Thus, The expand form will be;

⇒ 28x² - 44x

Learn more about the mathematical expression visit:

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Plssssssssssssssssss slove I don't know how to solve this

Answers

Answer:

I think the second blank is 5 and the third blank is 2.

Input 1: Output 5

Input 5: Output 2

Evaluate 3m + p if m = 2 and p = 4.

Answers

>> Answer

_________

[tex] \: [/tex]

3m + pm = 2

3m + 4m = 2

(3 + 4)m = 2

7m = 2

m = 2/7

has to be turned in soon at 9:00 it's 7:50

Answers

Answer:

A

Step-by-step explanation:

b must always be greater than 0 since 12b-15 must always be greater than 21. You can simplify the ineqaulity to see things easier; 12b>36. Again, this ineqaulity can be simplified; b>3. A is the closest answer here, but there should be an open interval at 3 for A to be correct.

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