What is the standard form of the parabola whose vertex form is y= 2(x+4)^2+5
A. y = 2x2 +16x - 37
B. y=-2x² + 4x - 25
C. y = 2x° +16x +37
D. y = 2x² + 4x - 25

Answers

Answer 1

[tex]y = 2(x+4)^2+5\implies y = 2(x+4)(x+4)+5 \\\\\\ y = 2(\stackrel{\mathbb{USING~FOIL}}{x^2+8x+16})+5\implies y= 2x^2+16x+32+5 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y = 2x^2+16x+37~\hfill[/tex]


Related Questions

Help. i need it ASAP

Answers

Answer:

The third choice is correct.

Step-by-step explanation:

A restaurant has two sizes of milkshakes, small and regular. The ratio of small milkshakes purchased to regular milkshakes purchased is 14 to 6. What percent of milkshakes purchased are small?

Answers

Answer:

70%

Step-by-step explanation:

the ratio is 14 to 6 so if you have 14 small milkshakes you would also have 6 regular milkshakes

to find a percentage we can buff up the ratio to add up to 100

14 + 6 = 20

100 / 20 = 5

that means we must multiply each side by 5

14 * 5 = 70

6 * 5 = 30

the ratio is now 70 to 30

you would have 70% of milkshakes that are small

10. A wildfire in Montana destroyed 240,000 acres in 3 days. At this rate, how many
acres were destroyed per hour?

Answers

Answer:

Approximately 3,333 acres per hour.

Step-by-step explanation:

Let's first find out how many hours are in 3 days.

There are 24 hours in one day.

24 times 3 = 72.

There are 72 hours in 3 days.

So the wildfire is destroying 240,000 acres every 72 hours.

240,000 divided by 72 = 3,333.3333, which is about

3,333 acres per hour.

The number of acres of land that were destroyed per hour is 3,333.33 acres.

Given the following data:

Land destroyed = 240,000 acres.Time = 3 days.

To calculate the number of acres of land that were destroyed per hour:

How to solve a word problem.

In this exercise, you're required to determine how many acres of land in Montana were destroyed by the wildfire per hour. Thus, we would first of all convert the value of time in days to hours and then divide the acres of land by it.

Conversion:

1 day = 24 hours.

2 days = 48 hours.

3 days = 72 hours.

For the acres destroyed per hour, we have:

[tex]Land=\frac{240000}{72}[/tex]

Land = 3,333.33 acres.

Read more on word problems here: https://brainly.com/question/13170908

You invested $5,000 in a 10 year CD at the age of 12. The account pays 2.5% interest compounded continuously. How much money will you have after 10 years? (Round to the nearest cent.)

Answers

Answer:

Do PRT: 5009.31

Step-by-step explanation:

Princable: 5000

Rate: 2.5

Time: 10

Answer:

(What is the Constant of Proportionality) The variable y has a proportional relationship with
x as suggested by the graph. Use the graph to
find the constant of proportionality.

Answers

Answer:

41

Step-by-step explanation:

In a direct proportion function, the constant of proportionality is the same as the slope of the graph.

Use points (0, 0) and (1, 41).

slope = (41 - 0)/(1 - 0) = 41/1 = 41

constant of proportionality = 41

The two lines graphed below are not parallel. How many solutions are there to the system of equations?

○ A. Zero

○ B. Two

○ C. Infinity many

○ D. One​

Answers

Answer: d. one

Explanation: the solution of two lines on a graph is where they intersect.

simplify 8x-5-10x+7 GCF

Answers

Answer:

-2x + 2

Step-by-step explanation:

Plz help well mark brainliest if you are correct!!…

Answers

Answer:

A. y<-3

Step-by-step explanation:

How many roots will the function f(x)= -3x³ - x² + 7x + 6 have?

Answers

Answer:

It will have 3 roots

The number of roots in an equation equals the highest power of that equation.

Step-by-step explanation:

Simplify. (5b2−3b+2)+(2b−4)
A.5b2+5b+6
B.5b2−5b−6
C.5b2−b−2
D.6b4−2

Answers

Answer:

5b2 - b -2

Step-by-step explanation:

The answer is (c)

The answer is: C

5b^2-b-2

Need help solving homework

Answers

3 + 2 = 1 + 4
2 + 15 = 10 + 7
8 + 9 = 19 - 2
12 - 7 = 14 - 9


Hope this helped!
8+9 and 10+7 are both 17
12-7 and 3+2 are both 5
19-2 and 2+15 are both 17
14-9 and 1+4 are both 5

8+9=10+7=19-2=2+15

12-7=3+2=14-9=1+4

Find the length x. Please help

Answers

Step-by-step explanation:

# easy learning

good luck and god Blees you

Ok done. Thank to me:>

In order to meet ADA (Americans with Disabilities Act) requirements, a wheelchair ramp must have an angle of elevation of no more than 4.8. . A builder needs to install a ramp to reach a door that is 2.5 feet off the ground.Is 20 feet long enough for the straight line distance of the ramp to meet the requirements? What angle of elevation will this ramp have?

Answers

Answer:

Yes, 35 feet is enough

The angle of elevation is 4.1º

Don’t know the answer

Answers

Answer:

log a + 3 . log c - log b

Step-by-step explanation:

2nd option is the correct answer

Answer:

log a + 3 . log c - log b

Step-by-step explanation:

✌️❤️✌️

A line with a slope of 1 passes through the point (5, -3). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y=1x-8

Step-by-step explanation:

Lets do the same thing we did last time

-3=1(5)+?

-3=5+?

The y intercept is -8

CHECK:

-3=1(5)+-8

-3=5+-8

-3=-3

Answer:

y=x-8

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=1(x-5)

y+3=x-5

y=x-5-3

y=x-8

After a discount of 25%, the sale price of a game system is $149.25. what is the original price?

Answers

Answer:111.94

Step-by-step explanation:

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

25% = 25/100 = 25 ÷ 100 = 0.25.

100% = 100/100 = 100 ÷ 100 = 1.

New value =

149.25 - Percentage decrease =

149.25 - (25% × 149.25) =

149.25 - 25% × 149.25 =

(1 - 25%) × 149.25 =

(100% - 25%) × 149.25 =

75% × 149.25 =

75 ÷ 100 × 149.25 =

75 × 149.25 ÷ 100 =

11,193.75 ÷ 100 =

111.9375 ≈

111.94

y=(x^4)-(6^3)+(50x^2)+122x=65
find the zeros

Answers

Answer: I worked at the pizza place in Chucky cheese since i was little. I grew up and became manager. Then i sabotaged everyone there. I’m gonna cry right now . miss that job so much. I think I might….

Anna categorized her spending for this month into four categories: Rent, Food, Fun, and Other.

If Anna spent a total of $2900 this month, how much did she spend on Rent?

Answers

Answer:

.26 * 2900= 754 dollars

Step-by-step explanation:

I'm not sure if it's right.

How can multistep linear equations be written to represent different
scenarios?

Answers

Answer:

Linear equations use one or more variables where one variable is dependent on the other. Almost any situation where there is an unknown quantity can be represented by a linear equation, like figuring out income over time, calculating mileage rates, or predicting profit

f (x) = x^2 g (x) = (x-9)^2 +3 we can think of g as a translated (shifted) verson of f. complrte the description of the transformation

Answers

Step-by-step explanation:

Given:

f(x) = x² and g(x) = (x - 9)² + 3

If g is the translation of f then it is:

g(x) = f(x - 9) + 3

This is a shift right 9 units and up 3 units

Answer:

Yes

Step-by-step explanation:

f(x)=x²

y=x²

Shift nine units right

y={x-9)²

Shift 3 units up

g(x)=(x-9)²+3

Y=1/3x-4 + Y=-7/3x+4

Answers

Answer:

-2

Step-by-step explanation:

if you arrange them over each other you get [tex]\frac{1}{3} -4 \\+\frac{-7}{3} +4[/tex]

the -4 and +4 cancel out to 0

and 1-7= -6

-6/3 is -2

Mr. Bailey announced the grade distribution for
his science fair projects. Of the 36 students in the
class, 12 earned A's, 18 earned B's, and 6 earned
C's. If Mr. Bailey were to randomly select one of
his students to talk about their project, what is the
probability that the student chosen had earned an
A on their science fair project?

Answers

Answer:

12/36

Step-by-step explanation:

Cuz 12 earned A's so it's 12/, then there are 36 choices so it would be 12/36.

anyone willing to help??​

Answers

ANSWER: C. 7 + 0 = 7

A man earns $9.99 for each of the first 36 hours he works in one week and $14.99 in overtime pay for each
additional hour he works in the same week. How much money will he make if he works 46 hours in one week?

Answers

Answer:

459.54

Step-by-step explanation:

46(9.99)

=459.54

Answer:

$159.89

Step-by-step explanation:

36 hours + 10 hours = 46

14.99 * 10 = 149.9

(36 hours) $9.99 + (overtime pay) $149.9 = (Total money) $159.89

$9.99 + $149.9 = $159.89

$159.89

6. What is the value of the underlined digits?
504,405,623
Math

Answers

Answer:

Which one is underlined?

Step-by-step explanation:

the frist 5 is in the 100 millionth place

the frist 0 is in the 10 millionth place

the frist 4 is in the 1 millionth place

the second 4 is in the 100 thousand place

the second 0 is in the 10 thousand place

the second 5 is in the 1 thousand place

the 6 is in the 100s place

the 2 is in the 10s place

and the 3 is in the 1s place

the length of a rectangular house is two and a half times its width. Solve the problem using x to denote the shorter side of the rectangle.
a) construct the expression for the area or the rectangle in terms of x

b) calculate the area if x=32 feet

Answers

answer

a.) y=2.5x

area=2.5x^2

b.)2560

Step-by-step explanation:

a.  The construct the expression for the area of the rectangle in terms of x is y=2.5x

b. The area should be 2,560.

Given that,

the length of a rectangular house is two and a half times its width.

Based on the above information, the calculation is as follows:

a) The expression should be y = 2.5x

b) The area should be

[tex]=2.5x^2\\\\= 2.5(32)^2[/tex]  

= 2560

Learn more: https://brainly.com/question/1301963?referrer=searchResults

The model represents an equation. What value of x makes the equation true?
A) -3
B) -9
C) 3
D) 9

Answers

Ahaha it’s b so because………….. UwU so umm what did you say again?

hehehejejwjjejejjejejwkwkwkekekejjeue

Answers

Answer: The last answer is correct.

Step-by-step explanation:

plz help verbal expression ​

Answers

Answer:

3(9+r) = 27 + 3r

Sum = addition

Distributive property

Nolan flipped his lucky coin 13 times and got 8 heads. Nolan used these numbers to estimate the probability of getting a head with his lucky coin. What is the estimated probability of Nolan flipping a head with his lucky coin

Answers

Answer:

8/13 = 0.615

Step-by-step explanation:

Nolan is only using these numbers, not actual probabilities, to formulate his results. Therefore, only using these numbers, there is an 8/13 chance of Nolan flipping a head with his lucky coin, as he flipped heads 8/13 times.

Answer:

13 time /8 head

= 8/ 13

= 0.615

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