The vertex form of the equation of a parabola is y = 2(x + 4)2 - 7.
What is the standard form of the equation?
O A. x= 2y2 + 8y + 12
X
O B. y= 2x2 + 16x+ 25
O c. y = 4x2 + 4x + 8
D. y = 2x2 + 12x + 12

Answers

Answer 1
y = 2(x+4)^2 - 7

= 2(x^2 +8x +16) -7

= 2x^2 +16x + 25

Therefore, B

Related Questions

what is the volume of the cone if the volume of the cylinder is 51L.​

Answers

Answer:

17L

Step-by-step explanation:

Volume of cone = 1/3(Volume of cylinder )

= 1/3 * 51L

= 17L

Hello can someone please help me with this

Answers

Answer:

C) 1

Step-by-step explanation:

Its the closest to 1.04

Given the inequality y<=12x+4, which of the following statements are
correct? Check all that apply.

A. The line should be dashed.

B. Shading should go above the line.

C. The line should be solid.

D. Shading should go below the line.

Answers

Answer:

c)the line should be solid

As per <= sign the line should be solid

Next

Let's isolate x and y

[tex]\\ \sf\longmapsto y\leqslant 12x+4[/tex]

[tex]\\ \sf\longmapsto 12x-y\geqslant 4[/tex]

Put (0,0)

[tex]\\ \sf\longmapsto 0-0\geqslant 4[/tex]

Yes it's true

Shading should go below the line towards origin

Help please use picture

Answers

Answer:

c. the relationship is proportional because the graph passes through the origin

Part of a city map is shown. If m 5 = x, which angles also have a measure of x? Select all that apply.
A 1
B 4
C 9
D 12
Thanks!!!

Answers

Answer:

C 9

D 12

Step-by-step explanation:

9 is a corresponding angle to 5 and 12 is an opposite angle to 9

Also by convention, grid lines are at right angles to each other so 5, 6, 7, 8, 9, 10, 11, and 12 are all equal at x = 90°

Please help me out with this question and please explain with steps

Answers

Answer:

6m²-m²+5m-1

Step-by-step explanation:

Polynomial 1 = m³ + 3m² - 18m

Polynomial 2 = 23m - 4m²

Polynomial 3 = 5m³ - 1

(m³+3m²-18m)+(23m-4m²)+(5m³-1)

When adding polynomials, you'll add like terms.

(m³+5m³)+(3m²-4m²)+(-18m+23m)+(-1)

(6m³)+(-m²)+(5m)+(-1)

6m³-m²+5m-1

Help me please ASAP
!!!!!

Answers

Answer:pretty sure the -4 would be on the right of the seven. And to the left of -1.

Step-by-step explanation:

If you randomly select a card from a well-shuffled standard deck of 52 cards, determine the probability that the card you select is not a spade.
A. Write your answer as a simplified fraction.
B. Write your answer as a decimal, rounded to the nearest thousandth.
C. Write your answer as a percent. Round to the nearest tenth of a percent and don't forget to include a percent sign, %, in your answer.

Answers

Answer:

a. 1/13

b. 0.077

c. 7.7

Step-by-step explanation:

a. there are 4 of the 6 in a deck of cards so the probability of taking this cards from the deck of 52 cards is 4/52. Given you 1/13.

7,433,654 rounded to the nearest 100

Answers

7433700 I think but not sure

21.2x+c is equivalent to 5.3(4x-2.6)

Answers

Yooooo what up how u doin ?

[tex]21.2x + c = 5.3(4x - 2.6)[/tex]

[tex]21.2x + c = 21.2 x - 13.78[/tex]

Subtract both sides 21.2x

[tex]21.2x - 21.2x + c = 21.2x - 21.2x - 13.78 \\ [/tex]

[tex]c = - 13.78[/tex]

There u go.... Don't have a good day , Have a great day ❤

If AZ = 85 ZE=51 find Bc

Answers

The answer is 136.
85^2-51^2
=4624
Then we square root that to get…
68
BUT the answer is saying from b to c so we would have to multiply it by 2 to get…
136

Marie uses 2.3 oz of nuts for each bag of trail mix she makes. She uses 27.6 oz of nuts in all.



How many bags of trail mix does Marie make?



Enter your answer in the box.

bags

Answers

Answer: 27.6/2.3 = 12 bags of trail mix

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

Greg received 3/8 of the votes cast for class secrectary. How many votes did he receive
Write your answer in simplest form
( show me how you got your answer like an explanation please Thanks! :)

Answers

Answer: 3/8

Step-by-step explanation: We don't know how many votes are there for the class secretary.

Fred earns $45 mowing the lawn. He spends $5 on music and puts half of what's left in a savings account. He then gets another $5 for washing his neighbor's car.
First, write the expression that represents the number of dollars Fred keeps (and does not put in his savings account), and then simplify.

Answers

The total amount that Fred keeps (and does not put in his savings account) is $20

Total earnings of Fred = $45

Amount spent on music = $5

Amount remaining after spending on music = $40

Fred puts half of what's left in a savings account.

Total amount put in the savings account = 40/2

Total amount put in the savings account = $20

The total amount that Fred keeps (and does not put in his savings account) is $20

Learn more here: https://brainly.com/question/25698362

Given: D is the midpoint of AC, ED = FD, and angle EDA = angle FDC

Prove that: Triangle AED = Triangle CFD

Answers

Answer:

Step-by-step explanation:

Side-Angle-Side postulate (SAS)

There are ΔAED and ΔCFD triangles that are congruent due to the SAS congruence postulate.

What are congruent triangles?

Two triangles are said to be congruent if their corresponding sides and angles are equal.

As per the given question,

D is the midpoint of AC, ED = FD, and angle EDA = angle FDC

In ΔAED and ΔCFD,

Side DE = Side DF

m∠EDA  = m∠FDC

Side AE= Side FC

According to SAS, two triangles are congruent if the two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.

Thus, both triangles are congruent.

Hence, there are ΔAED and ΔCFD triangles that are congruent due to the SAS congruence postulate.

Learn more about congruent triangles here:

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Up arrow, right arrow, down arrow, left arrow, up arrow, right arrow, down arrow, left arrow. What's the conjecture

Answers

Answer:

The correct option is;

If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-arrow (x, -y).

If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-Arrow (-x, y).

Taking the result from the first reflection (x, -y) and applying the second mapping rule will result in (-x, -y), not (y, x), which reflection across the line y = x should give

Step-by-step explanation:

We have that for reflection across the x-axis, (x, y) → (x, -y)

For reflection across the y-axis, (x, y) → (-x, y)

Therefore, given that the pre-image before the reflection across the y-axis is (x, -y), we have;

For reflection across the y-axis, (x, -y) → (-x, -y)

For reflection across the line, y = x, gives (x, y) → (y, x) which is not the same as (-x, -y)

A softball bat and glove are on sale for $89.95. If the sale price is discounted 10% from the original price, what was the original price? Round to the nearest cent.

Answers

Answer:

$20.40

Step-by-step explanation:

20% off means that the new price of the skirt will be 80% of the original price:

$30(100%  – 20%) = $30(80%)

Converting the percent to a decimal gives:

$30(0.8) = $24.00

There is an additional 15% off the sale price of $24.00, so the final price is 85% of the sale price:

$24(100%  – 15%) = $24(85%)

Again converting the percent to a decimal gives:

$24(0.85) = $20.40

4х = 32
А. x= 9
В. x= 8
с. x= 28
D. х = 128

Answers

Answer:

B

Step-by-step explanation:

Step 1: Divide both sides by 4.

4x/4 = 32/4

4x/4 leaves you with x by itself, and 32/4 is 8. So x = 8

in what value of b makes y= 2x + b the same as y= 2x what does that value mean

Answers

Answer:

B = 0

Step-by-step explanation:

If you have y = 2x + b and are trying to get to y = 2x

Then just remove the B itself meaning it's value would be 0 so it is as if that variable was never in the actual equation.

Basing ourselves off of the formula "y = mx + b"

B = 0 would mean that the y-intercept of the line is 0

Answer:

0

Step-by-step explanation:

if y=2x and y=2x+b is the same then b must be 0.

A sample in which each element in a population has a equal chance of being selected

Answers

Answer:

simple random sample

Step-by-step explanation:

I hope that's it

A car travels at an average speed of 56 miles per hour how many miles does it travel in 5hrs and 30min

Answers

Answer:

308 miles

Step-by-step explanation:

speed * time = distance

56 * 5.5 = 308

308 miles

Mrs. King's famous peanut butter cookies call for 1 cup of peanut butter for every 1/2of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?

Answers

2 cups of peanut putter for one cup of oil.

what do you call the horizontal number line in the Cartesian plane ?​

Answers

9514 1404 393

Answer:

  x-axis

Step-by-step explanation:

The horizontal and vertical axes of a graph can have any names you like. If the independent variable represents something in particular, the horizontal axis is usually named so as to indicate that. In a graph of distance versus time, for example, the independent variable is likely to be time, and the horizontal axis is likely to be named something that suggests that--"t," for example, or perhaps "days".

It is fairly conventional to use "x" to name a general independent variable. The corresponding dependent variable in a two-variable relation is conventionally called "y". The horizontal axis in x-y graphs is usually labeled "x" and is called the "x-axis."

This convention is sufficiently well-used that we often call the horizontal number line of the graph the "x-axis" even if it is labeled something else.

Who ever solve this first I will give Brainliest to them

Answers

Answer:

9

Step-by-step explanation:

In order to solve this problem, you need to understand how the area of a parallelogram works. If you already know how the area of a parallelogram and the area of a triangle are related, then adding 79 and 10 and subsequently subtracting 72 and 8 to get 9 should make sense

(BEST AND FASTEST GETs BRAINLIEST)Michael works at a furniture store. He makes commission for every piece of furtniture he sells. He sold a couch for $1245 he got a check for $62.25. What was the % of commission he made?

Answers

Step-by-step explanation:

if 1425 then the answer is 100

if it's 62.25 then 77 percent

Cariyah placed $2000 into a savings account with 3.5% interest, compounded annually. Write Cariyah's total savings S(t) as a function of time in years, t.
S(t) =

Answers

Answer:

450

Step-by-step explanation:

Solve.

−3 2/3x = −2 1/5

Answers

Answer:

1 2/3

Step-by-step explanation:

You divide -3 2/3x to -2 1/5 and you will get 1 2/3

Where do I put the parenthesis to make it true?

5 – 6w – 5 – 95 + 2w = –48w – 70

Answers

Answer:

i just stole your points thank you

Step-by-step explanation:

5 – 6w – 5 – 95 + 2w = –48w – 70

-6w + 2w + 48w = -70 -5 + 5 +95

44w = 25

w=25/44

You can run at a speed of 6 mph and swim at a speed of 3 mph and are located on the shore, 4 miles east of an island that is 1 mile north of the shoreline. How far should you run west to minimize the time needed to reach the island?

Answers

Well we don’t know how far is the island we do know that we can swim rlly slow and run faster we are on the east pf the island and we are 1 mile away from the shoreline if its one mile north we would need to run 1 mile west to minimize our time.(if this is now the answer please fix your grammar)

The distance to run to minimize the time needed to reach the island is

3.4 miles

What is the Pythagorean theorem?

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Let x = distance to run.

Remaining distance to the point that is closest to the island = (4 - x) miles.

The distance d to the point x from the island is

using the Pythagorean theorem:

d² = 1² +(4 - x)²

d² = 1 + 16 -8x + x²

d² = 17 - 8x + x²

d = √(x² - 8x + 17)

Total travel time.

= Times running + Time swimming.

Speed = Distance / Time

Time = Distance/Speed

Total time:

T = x/6 + d/3

T = x/6 +√(x² - 8x + 17)/3

Minimized time is when T' is zero.

T' = 0

1/6 + 1/3 x 1/{2(√(x² - 8x + 17)} x (2x - 8) = 0

1/6 + (2x - 8)/6√(x² - 8x + 17) = 0

Multiply 6 on both sides.

1 + (2x - 8)/√(x² - 8x + 17) = 0

√(x² - 8x + 17) + 2x - 8 = 0

√(x² - 8x + 17) = 8 - 2x

Square both sides.

(x² - 8x + 17) = (-(2x - 8))²

(x² - 8x + 17) = (2x - 8)²

x² - 8x + 17 = 4x² - 32x + 64

4x² - x² - 32x + 8x + 64 - 17 = 0

3x² - 24x + 47 = 0

Finding the roots of the quadratic equation.

We get,

x = 3.4 and 4.6

Thus,

The distance to run to minimize the time needed to reach the island is

3.4 miles

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

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What is the slope-intercept form of an equation of a line that passes through the point (0,-1) and is perpendicular to 5x-y=3?

Answers

Answer:

y = -1/5x - 1

Step-by-step explanation:

Perpendicular lines slopes are negative reciprocals of each other.

Write the given equation in the slope-intercept form: y = mx + b

5x - y = 3

-y = -5x + 3

y = 5x - 3       multiply by -1

The slope of the given line is 5 ( the coefficient of the x-term).

The slope of the new equation will -1/5 (this is the negative reciprocal of 5).

Next find "b"  using y = mx + b, the new slope -1/5 and the point (0, -1)

y = mx + b

-1 = -1/5(0) + b

-1 = 0 + b

-1 = b  

Now write the equation y = -1/5x - 1

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