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

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

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:

(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.

To learn more about exponential form, refer:

https://brainly.com/question/29337692

#SPJ3

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:)

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

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

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

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

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:

brainly.com/question/1859113

#SPJ2

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.

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

Learn more about model function on:

brainly.com/question/1415456

#SPJ1

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


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

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!!!!)

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

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

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    

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

Answers

Answer:

4 Child tickets (I think...)

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.

https://brainly.com/question/545403

#SPJ2

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?

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.

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

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.

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

Plz help I need help

Answers

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

⏩Option (D.)

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 :)

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

Other Questions
Which event in the late 1680s helped further define the doctrine of classical republicanism? Cesar bought 20 boxes pizza. He gave 14 boxes of pizza to his classmates. Write the percentage of pizza left. Choose the sentence that is written Incorrectly.Everyone except season ticket holders are excluded from the special offer.Because the student does not study, he is very likely to fail the course.Three cars, two trucks, and a house trailer were involved in the accident.The doorman and the bellhop always expect rather large tips at that hotel. How many different types of atoms are in the formula Ba(OH)2 8H2O? A)3B)2C)11D)22 which of the following sentences is a fact? The worst flavour of ice cream is vanilla. Ice cream contains a lot of fat. Strawberry ice cream is the best. Ice cream seems to be a poplar choice. Find an equation of the line parallel to y= 1/3x +1 and that passes through the point (3,5) How do you do this math $30.50 for 32 ounces of specialty cooking oil PLEASE HELP ME WITH THIS QUESTION!But the Raven, sitting lonely on the placid bust, spoke only / That one word, as if his soul in that one word he did outpour. Which choice below presents the core meaning of the following sentence?1) But the Raven sitting lonely that one word did outpour.2) The raven on the placid bust his soul in that one word he did outpour.3) The raven spoke only that one word.4) The soul in that one word he did outpour. The United States remained the same after WWI by maintaining strong sentiments of preparedness and neutralityTrueFalse they paly football on Saturday.(sometimes) Will one direction get back together? serves 4 people900g red potatoes450g diced bacon 1 red onion diced100ml of white vinegar 100ml of olive oil 2 tablespoons of sugar 1 tablespoon of dijon mustard 1 teaspoon of salt I need to serve 32 people please help me right now what is the summary for ending the slave trade in the slave trade plz help area is 54in Please help me ill mark u as brilliant Please help, its URGENT, no links, only the correct answer for this question! In the 1800s, the United States was still a very young nation, trying to solidify its identity. The Industrial Revolution began in Great Britain, a fast development of society following the introduction of machines. The United States was slower than Great Britain to fully embrace the changes. Yet key technological developments caused a rapid growth in American urban areas.Better farming methods and tools in the 1800s increased food production. Americans were able to grow enough food for their families as well as to sell. The abundance caused food prices to fall.The expansion of cotton and the growth of textile factories in northern states helped produce the first wave of American industry. More people turned to work in northern factories as a way to support their families. Thousands of immigrants to the United States also settled in or near port cities, looking for work. Even today, the need for work is a common reason people move to urban areas.As a result, cities grew in numbers of people and physical space. As more people and businesses moved in, they needed buildings for living and working. They needed ways to move around the city. We call this process urbanization.In 1820, the United States had only a few cities of 10,000 residents or more. About seven percent of U.S. residents lived in urban areas. The number of cities with more than 10,000 people grew quickly over the next 40 years, especially in the Northeast and Midwest. By 1860, about 20 percent lived in cities. Philadelphia and New York City were the most populated cities in 1860 and would soon reach one million residents.The urbanization of the United States quickened due to technology improvements. Without innovations in food production, the factories could not have grown so quickly. The trend quickened after 1860 and continued throughout the 21st century as well. By 2007, more Americans lived in or near cities than they did in rural areas.Select a sentence from the body of this article that can be removed without affecting the author's explanation. Place the sentence in quotes and explain why it is an unnecessary detail. Help help help help please please Angle B and angle C are supplementary. If the measure of angle B is 14 times the measure of angle C, what is the measure of angle B?Enter your answer as the correct value, like this: 42 How does alpha particles transfer energy to their surroundings?