which form most quickly reveals the vertex?
choose 1 answer:
a. g(x)=-2x^2-16x-14
b. g(x)=-2(x+4)^2+18
c. g(x)=-2(x+1)(x+7)

what is the vertex?
vertext= (___,___)

Answers

Answer 1

Answer:

The most quickly reveals the vertex is g(x) = -2(x + 4)² + 18 ⇒ b

The vertex = (-4, 18)

Step-by-step explanation:

The vertex form of the quadratic function f(x) is:

f(x) = a(x - h)² + k, where

a is the coefficient of x²(h, k) are the coordinates of the vertex point

The most quickly reveals to find the vertex is the vertex form above

Look at the answer and try to find a similar form to the vertex form above

∵ g(x) = -2(x + 4)² + 18

∴ a = -2

∴ h = -4

∴ k = 18

⇒ That means this form is similar to the form above

The most quickly reveals the vertex is g(x) = -2(x + 4)² + 18

The vertex = (-4, 18)


Related Questions

A football team scored a total of 41 points in a Sunday game. They scored 7 points in the first quarter, 10 points in the second quarter, and 7 points in the third quarter. How many points did the team score in the fourth quarter?

Answers

41 - 7 - 10 - 7 = 41 - 24 = 17.

The team scored 17 points in the last quarter.

POLYNOMIALS QUESTION!!!

Answers

Answer:

The new area of the smaller rectangle is 16 - x² units²

Step-by-step explanation:

The dimensions of the small rectangles are 2 + x and 2 - x

∵ The length of the small rectangle is 2 + x units

∵ The length is adding by 2 units

The new length = 2 + x + 2 = 4 + x units

∵ The width of the small rectangle is 2 - x units

∵ The width is adding by 2 units

The new width = 2 - x + 2 = 4 - x units

Area of the rectangle = length × width

∴ The new area of the smaller rectangle = (4 + x) × (4 - x)

→ Simplify it by multiplying the 2 brackets

∵ (4 + x)(4 - x) = (4)(4) + (4)(-x) + (x)(4) + x(-x)

∴ (4 + x)(4 - x) = 16 + (-4x) + 4x + (-x²)

→ Remember (+)(-) = (-)

∴ (4 + x)(4 - x) = 16 - 4x + 4x - x²

→ Add the like terms

(4 + x)(4 - x) = 16 - x²

The new area of the smaller rectangle is 16 - x² units²

A line has a slope of
1/4
and passes through the point (0.2,
4/5


Find the value of b, the y-intercept.


b = ???

Answers

Answer:

b = 3/4

Step-by-step explanation:

Using point slope: y - y1 = m(x - x1).

Substitute your given slope, given point, and subsitute 0 in for x and solve for y since the y intercept is the y value when x = 0.

0.2 = 1/5, so 1/5 * 1/4 = 1/20

Therefore: y - 4/5 = 1/4(0 - 0.2) → y - 4/5 = -1/20 → y = 4/5 - 1/20 → 15/20 → 3/4

b = 3/4

Using point slope: y - y1 = m(x - x1).

Substitute your given slope, given point, and subsitute 0 in for x and solve for y since the y intercept is the y value when x = 0.

0.2 = 1/5, so 1/5 * 1/4 = 1/20

Therefore: y - 4/5 = 1/4(0 - 0.2) → y - 4/5 = -1/20 → y = 4/5 - 1/20 → 15/20 → 3/4

Samuel can type nearly 40 words per minute. Use this information to find the number of hours it would take him to type 2.2 × 105 words.

Answers

I believe the answer is .09625 hours

Explanation: first you do 2.2 x 105= 231
Then you do 231/40=5.775 to get how many minutes it takes to type 231 words. Then u divide 5.775/60 to get how many hours it would take.

Non example of complex fraction.

Answers

Answer:

42/6

Step-by-step explanation:

:P

help me please!!!!!!!!!!!!!!!!!​

Answers

im not for sure but Step-by-step explanation: 3,000=102938884.00919377299

Answer:

3,000=102938884.00919377299

Step-by-step explanation:

The earth's crust is:
1.broken into several plates
2.floating on top of the mantle
3.made of granite and basalt
4.all of the above

Answers

Answer:

Well ummmmm 1

Step-by-step explanation:

Answer:

All of the above because we know that the earths crust is above the mantle AND that there are several plates, and I read in an article that the earth is made of basalt and granite

I also got this right on a test in odsseyware:-)

Step-by-step explanation:

Simplify by factoring out the gcf only answer if you’re sure about the awnser ;)

Answers

Answer:

−3⋅(7n+1)

Step-by-step explanation:

The gcf is 3

HELP PLSSSSSSSSS I BEG U

Mark starts a rock climb when he is 1 mile above sea level. He can climb at the rate of 1.5 miles per hour. Which of the following functions would express Mark's height above sea level over time?
A. f( x) = 1.5 x
B. f( x) = 2.5 x
C. f( x) = 1 + 1.5 x

Answers

Answer:

C.

Step-by-step explanation:

Its C because you start out at 1 mile above sea level, then each time Mark climbs he goes up 1.5 miles per hour. f(x)= 1(starting point) + 1.15x (miles per hour).

It would be C because the 1.5x represents the miles per hour since that changes and you would add 1 because he is 1 mile above sea level

can someone help me!!!​

Answers

Answer:

x=81

Step-by-step explanation:

Does someone know how to find the area of this?

Answers

Answer:

Lenthg times width

Step-by-step explanation:

length times width !

Given the following function, find f(-2), f(0), and f(1).
f(x) = 5x +5

f(-2) =

Answers

F(-2)=-2f done hiiiiiiiiiiiiiiiiiiiiii

Answer:

f(-2) = -5

f(0) = 5

f(1) = 10

Step-by-step explanation:

f(-2) = 5(-2) + 5 → -10 + 5 = -5

f(0) = 5(0) + 5 → 0 + 5 = 5

f(1) = 5(1) + 5 → 5 + 5 = 10

Question 2 (1 point)
Explain how you used the distribute property to find an equivalent expression for
4 (3+x)
ANYONE ITS WORTH 10 POINTS PLEASE???

Answers

an equivalent expression would be 12+4x bc u used the distribution property

HELP PLS HOW DO U DO THIS

Answers

Answer:

10

Step-by-step explanation:

1/3 of 24 is 8, and 1/4 is 6. 8+6=14, and 24-14=10. So I think that 10 people brought chips.

Answer:

10

Step-by-step explanation:

24 ÷ 3 = 8 so one third is 8

24 ÷ 4 = 6 so one fourth is 6

8 + 6 = 14 (14 people brought drinks or dessert)

24 - 14 = 10

ten people brought chips.

In the diagram, AABC = ADEF . Find the values of x and y.

Answers

Answer:

x = 1

y = 46

Step-by-step explanation:

assuming AB = DE and angle F = angle C,

set 4x - 6 = 10", solve for x...

4x = 4, x = 1

set 14x + y = 60°, substitute 1 for x then solve for y...

14 + y = 60°, y = 46

3(2x+4)=-18
What is x and how do you solve

Answers

Answer:

x=1

Step-by-step explanation:

divide by 3 and then -4 and then divide by 2

William's bank account balances after weekly deposits are showing in the following table.
0
1
2.
3
4
Weeks
Total Balance
(5)
30
44
58
72
86
After 10 weeks, how much money would William have in his bank account? Show your work.
O A. 170
B. 140
C. 165
D. 314

Answers

Answer:

The answer is 170

Step-by-step explanation:My teacher told me... ADD ME ON TICTOC OHH.ITZJA33I

You only have nickels and dimes in your piggy account. The total comes to 595 cents. What are the three combinations of nickels and dimes you could have?

Answers

Answer:

59 dimes and 1 nickel

54 dimes and 11 nickels

1 dime and 117 nickels

Step-by-step explanation:

i know this from using the equation [tex]5n+10d=595[/tex] the n is nickels and the d is dimes

Identify the phrase that relates to the study of geography.
A. a record of events over time and their meanings
B. the effect living and nonliving things have on each other
C. the creation and use of goods and services
D. the study of rocks and fossils

Answers

Answer:

D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I did the test in MIddle school and its in the lesson that's where I found it so next time ur stuck on a question look at the lesson then if your stilll stuck ask brainly k?

evaluate −5x+8 when x=3.

Answers

Answer:

-7

Step-by-step explanation:

-5(3) +8

-15+8

7

Answer:

plug x in

-5 (3) + 8

-15 + 8

-7

Step-by-step explanation:

You are given a rectangular sheet of metal that is 32 inches by 24 inches. You are required to cut a lenght from each corner of the sheet so that you may fold up the ends and create a box. What is the domain of the function you will use to find the volume of the box? Explain your answer.

Answers

Answer: 768

Explanation In order to find the domain you have to multiple 32 by 24 which gives you 768.

by combining like terms
4x2 - 3x + 11 -2x

Answers

Answer:

-5x +19

Step-by-step explanation:

That's the answer

Group like terms first
-3x-2x 4x2+11
-5x 8+11
-5x+19

Which equations are equivalent

Answers

Answer:

Step-by-step explanation:

wheres the picture?

What is the measure
of ZA, in degrees?
20

Answers

The answer is 60 degrees

Need help ASAP please ‼️‼️

Naomi is planning a holiday. The hotel costs $80 every night she stays and the flight costs $250,
She has a budget of $700 for her hotel and flight. How many nights will she be able to stay at
the hotel without going over her budget?

Answers

Answer:

5 nights

Step-by-step explanation:

# of nights= budget - flight {divided by} price per night

                 = 700$ - 250$ {divided by} 80$

                 = 450$ {divided by} 80$

                 = 5.6

                 =5 (round down)

Answer:

she will be able to stay 5 nights at the hotel

the second awnser and the third awnser.

Step-by-step explanation:

if the flight costs $250 and a night at the hotel costs $80 then 5 nights would equal $400 and then you would add the flight costs and it would equal $650. it can't be 6 nights cause she would go over her budget.

Jeremiah dad Ordered five large pepperoni pizzas in each large cheese pizzas for the birthday party he spent a total of 144 on pizza if a pepperoni pizza cost 12 right and solve a linear equation to find the cost of a cheese pizza

Answers

This question is incomplete because part of the information is missing; here is the complete question:

Jeremiah's dad ordered 5 large pepperoni pizzas and 8 large cheese pizzas for the birthday party. He spent a total of $144 on pizza. If a pepperoni pizza costs $12, write and solve a linear equation to find the cost of a cheese pizza.

The answer to this question is $10.50

Explanation:

The first step to solve this problem is to write a linear equation. In this, the unknown should be represented by an x, and other variables should be included using correct mathematical symbols. Here is the process:

1. In an equation there is always an equality symbol = and mathematical expressions on both sides.

2. In this situation, the value after the = symbol should be 144 or the total spend on pizzas.

3. The values missing should be expressed as 5 (12) + 8x because there are 5 pepperoni pizzas and each of these costs $12; also, this should be added to the 8 cheese pizza and x represents the missing value (the price of a cheese pizza.)

4. Solve the equation

5 (12) + 8x = 144 -Simplify using multiplication

60 + 8x = 144 - Solve by moving the number to the right side and changing the symbol

8x = 144 - 60

8x = 84

x = 84 ÷ 8

x = 10.5

what does x equal 20 - 3x = 8

Answers

Answer:

x = -4

Step-by-step explanation:

Rewrite: -3x = -12

Divide: x = -4

Construct a line through R that is perpendicular to the line​

Answers

Answer: just did it 3 secs. ago

Step-by-step explanation:

The answer is shown below.

Perpendicular:In simple geometry, two geometric objects cross at a right angle ( [tex]90^{0}[/tex]degrees or [tex]\frac{\pi }{2}[/tex] radians ) if they are perpendicular to one another.If two lines cross at a right angle, they are said to be perpendicular to one another. A first line is explicitly said to be perpendicular to a second line if the two lines meet and the straight angle on one side of the first line is cut by the second line into two congruent angles at the point of junction.

Therefore, the Construction of a line through R that is perpendicular to the line is shown below:

Know more about perpendicular lines here:

https://brainly.com/question/1202004

#SPJ2

Given the function g(x)=x^2+3 ,evaluate (-2,y)

Answers

Answer:

im not sure if this is what you're looking for but g=x^4 and the y intercept is g(0)=0

Step-by-step explanation:

n the pictured triangle, ∠A is 81 degrees and ∠B is 67 degrees. If side a is 34 units long, approximately how long is side b?

Answers

Step-by-step explanation:

can u also attach the pictured triangle so we can know it exactly

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