Erik transformed the equation y = 2(x − 2)2 + 5 from vertex form to standard form. His steps are shown below. Is Erik's work correct? If not, identify and correct his error.
y = 2(x − 2)2 + 5
y = 2(x2 − 4x + 4) + 5
y = 2x2 − 8x + 8 + 5
y = 2x2 − 8x + 13


answer choices


No. The error is in the second line: the expanded form of (x − 2)2 is x2 − 4.

No. The error is in the third line: the product of 2 and x2 − 4x + 4 is 2x2 − 4x + 4.

No. The error is in the fourth line: the sum of 8 and 5 is 12.

Yes. Erik is correct in his transformation from vertex form to standard form.

Answers

Answer 1
It’s yes, your welcome!

Related Questions

Ashraf paid$4 for a package of 8 candy bars. Ronnie paid $5.40 for a package of 12 candy bars. Based on these rates, which statement is true? * 4 points A Ronnie paid $.40 more per bar than Ashraf B Ashraf paid $.05 more per bar than Ronnie C Ashraf paid $.50 more per bar than Ronnie D They paid the same amount per bar

Answers

Answer: its B

Step-by-step explanation:

Plz help I'd highly be grateful

Answers

Answer: C

explanation : It is because the answer supposed to be equivalent to

[tex]\frac{-e}{f}[/tex]  

Instead of this, answer a and b are positive

a is completely positive as it has no negatives at all

b is positive as 2 negative makes up as positive

Translate the expression
NO answering with links !!!

1) ten subtracted from the product of a number and -3 is 29

2) the difference between a number and nine , divided by 4 , is -7

Answers

Answer:

1) ten subtracted from the product of a number and -3 is 29

x*(-3) - 10 = 29-3x  = 39x = -13

2) the difference between a number and nine , divided by 4 , is -7

x - 9/4 = -7x = 9/4 - 7x = -19/4

when completely factored, 4-16x+28y equals :

Answers

Answer:

4(1 - 4x + 7y)

Step-by-step explanation:

The only factor common to all three terms is 4.

Factoring out the 4, we get    4(1 - 4x + 7y)

I need help please!!

Answers

Answer:

answer is A

Step-by-step explanation:

as /_ 1 + /_ 2 =180 degree

and /_6 +/_5 = 180 degree

so they are equal

Select the correct answer.
which equation matches the function shown in the graph?

A. Y = 1/2sin(x)
B. Y = sin(2x)
C. Y = sin(1/2x)
D. Y = sin(1/4x)

Answers

B sorry if it’s wrong

The equation for the graph is y = sin[(1/2)x] after applying the transformation x → (1/2)x option (C) is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

A graph of a trigonometric function is shown in the graph:

From the graph of a function, we can see the sin function represented by the graph.

y = sin(x)

To find the equation for the graph we can apply the transformation to the above equation.

From the graph

x =2π

y = 0

x → (1/2)x

y = sin[(1/2)x]

Thus, the equation for the graph is y = sin[(1/2)x] after applying the transformation x → (1/2)x option (C) is correct.

Learn more about the function here:

brainly.com/question/5245372

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help help help help help i suck at math

Answers

Answer: D

Step-by-step explanation:

This set of ordered pairs shows a relationship between x and y. {(0, -2), (3, 7), (6, 16), (6, 15), (8, 21), (10, 28), (11,31)} Using the line of best fit, which is closest to the output when the input is 5?

Answers

Answer:

The closest to the output when the input is approximately 12

Step-by-step explanation:

The given (x, y) coordinates are;

The line of best fit is

x, 0, 3, 6, 6, 8, 10, 11

y, -2, 7, 16, 15, 21, 28, 31

The line of best fit can be obtained from the scatter plot of the given data from where a linear pattern is apparent

A linear line of best fit is a trend line that gives an overall cumulative minimum distance of all the points from the line

The method for constructing a line of best fit includes;

1) The least Squares Method

2) The method of linear regression

3) Construction of line of best fit

a) The area method

b) The dividing method

The least squares equation is given as follows;

[tex]\hat y[/tex] = a + b·x

[tex]b = \dfrac{\Sigma (x_i - \overline x) \cdot (y_i - \overline y)}{\Sigma (x_i - \overline x)^2 }[/tex]

From MS Excel, we have;

[tex]{\Sigma (x_i - \overline x) \cdot (y_i - \overline y)}{ }[/tex] = 266.8571

[tex]{\Sigma (x_i - \overline x)^2 }[/tex] = 89.42857

∴ b = 266.8571/89.42857 ≈ 2.984

[tex]a =\overline y- b \cdot \overline x[/tex]

From MS Excel, with the given data, we get;

[tex]\overline y[/tex] = 16.57143

[tex]\overline x[/tex] = 6.285714

Therefore;

a = 16.57143 - 2.984 × 6.285714 = -2.185

Therefore, we get the following regression equation;

[tex]\hat y[/tex] = -2.185 + 2.9·x

Where;

x = The input

[tex]\hat y[/tex] = The output

Therefore, when x = 5, we get;

[tex]\hat y[/tex] = -2.185 + 2.9 × 5 = 12.315

Therefore, the closest to the output when the input is 5, y ≈ 12

Is it possible to form a triangle with the given side lengths? 2ft,8ft,11ft

Answers

No; The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

We have given that,

it is possible to form a triangle with the given side lengths.

We have to determine the side of the triangle

What is the formula for the area of the triangle?

[tex]Area \ of \ the \ triangle=\frac{1}{2} \times height\times base[/tex]

No, The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

To learn more about the area of the triangle visit:

https://brainly.com/question/89544

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If 5(3x – 7 ) = 20, then what is 6x – 8? *
8
12
14
16

Answers

Step-by-step explanation:

hope it helps............

15 cm
Which equation can be used to find the area of the of the parallelogram?
A)
A = (7)(5)
B)
A = (15)(5)
A = (15)(7)

Answers

Answer:

15 × 5

Step-by-step explanation:

mark me brainliest

William deposited $5,375 into an account that earns
6.2% interest compounded annually. Assuming he
makes no other deposits or withdrawals, which of the
following is the closest to the value of his account after
36 months?
A. $6,438.02
B. $46,866.34
C. $11,813.02
D. $1,063.02

Answers

Answer:

I'm pretty sure its D if not I'm sry

Answer:

A

Step-by-step explanation:

Compound interest is p (1+r)^T

5,375(1+0.062)^3 = 6,438.02

You have to convert the months into years.

Find the volume of a cylinder with a diameter of 14mm and a height of 3.4mm Round to the nearest tenth.

Answers

Answer:

V≈5.23×10-7m³

Step-by-step explanation:

V=π(d

2)2h=π·(0.014

2)2·3.4×10-3≈5.23389×10-7m³

Answer: 523.1 mm^2

You first want to find the radius for the volume of cylinder formula. You first do 14 divided by 2 to get the radius. You should get 7. Then after you find the radius you then put it into the formula which is v=3.14 x radius^2 x height. The equation with all the numbers from the problem is 3.14 x 7^2 x 3.4. After you put the equation into your calculator you should get 523.1 mm^2.

is a pentagon a polygon

Answers

Answer:

Yes

Step-by-step explanation:

A polygon is a 2D figure with at least three straight sides and angles. A pentagon has five sides and angles, so it qualifies as a polygon.

I hope this helped ^^ Good luck

A recipe for nut bread calls for 1/3 cup of walnuts and 2/6 cup of pecans. What is the total amount of walnuts and pecans needed for the recipe?

Answers

Answer: 2/3 cups

Step-by-step explanation:

Jessica drew a scale
drawing of a movie
theater. The scale she
used on the drawing was
4 inches = 5 feet. In real
life, the walkway at the
movie theater was 30 feet
long. What will be the
length of the walkway on
Jessica's drawing?

Answers

Answer:

24 inches

Step-by-step explanation:

30 divided 5

that equals 6

then times 6 with 4

you get 24 inches

If the point T(3,-4) is translated 2 units left and 3 units up, the coordinates of T' will be
PLEASE HELP ME!!!!!!

Answers

Answer:

T' (1, -1)

Step-by-step explanation:

Since it is 2 units left, we would subtract 2 from the x value and since it is 3 units up, we would add 3 to the y value.

If 3 is 1/4 what is the whole? (Division)

Answers

Answer:

12

Step-by-step explanation:

12 divided by 4 is 3 or 12 split into 4 even parts is 3

3. 3 3. 3

1/4. 1/4 1/4. 1/4

what is the solution set for the equation 2x^2-8x-42=0

Answers

Answer:

x=−3 or x=7

Step-by-step explanation:

Step 1: Factor left side of equation.

2(x+3)(x−7)=0

Step 2: Set factors equal to 0.

x+3=0 or x−7=0

x=−3 or x=7

Answer:

(-3,7)

Step-by-step explanation:

Dada la función d(x) = 3x - 4, ¿Qué sucede con su representación gráfica si m disminuye 3 unidades?

Answers

Answer:

Si la pendiente ([tex]m[/tex]) disminuye 3 unidades, entonces tenemos que [tex]y = -4[/tex].

Step-by-step explanation:

Sea la función lineal [tex]d(x) = 3\cdot x - 4[/tex], una función está definida por la siguiente expresión matemática:

[tex]y = m\cdot x + b[/tex] (1)

Donde:

[tex]x[/tex] - Variable independiente.

[tex]y[/tex] - Variable dependiente.

[tex]m[/tex] - Pendiente.

[tex]b[/tex] - Intercepto.

Por comparación directa, tenemos que [tex]y = d(x)[/tex], [tex]m = 3[/tex] y [tex]b = -4[/tex]. Si [tex]m[/tex] disminuye en 3 unidades, entonces tenemos la siguiente ecuación lineal:

[tex]y = -4[/tex]

Ashanta buys pizza and drinks for a party.
• She wants to spend no more than $50.
• Pizzas cost $9 each, and drinks cost $2.50 each.
• She needs at least 4 pizzas.
• She needs no more than 5 drinks.

Answers

48.5 is all she needs

Answer:

she can buy 4 pizzas and five drinks with 2.50 to spare or 4 pizzas and 6 drinks

Step-by-step explanation:

someone please please help me with this I would really appreciate it ! ( NO LINKS)

Answers

Answer:

Step-by-step explanation:

The cylinder on the right, its volume = 9 bi * 10 = 90 bi

The volume of the left cylinder = 9 bi * 10 = 90 bi

They are equal because the radius and length of 2 cylinders are equal

what is 1/3(w+18)=12 using distributive property?​

Answers

Answer:

w = 18

Step-by-step explanation:

Given

[tex]\frac{1}{3}[/tex] (w + 18) = 12 ← distribute parenthesis on left side

[tex]\frac{1}{3}[/tex] w + 6 = 12 ( subtract 6 from both sides )

[tex]\frac{1}{3}[/tex] w = 6 ( multiply both sides by 3 to clear the fraction )

w = 18

Math Math help help help ASAP please help me

Answers

Answer:

a.) 64

b.) 2401

Step-by-step explanation:

Answer:

a.) 64

b.) 2401

Step-by-step explanation:

help asap please!! thank you

Answers

Answer: The third option

Step-by-step explanation:

(6) (5) is the area of the quadrilateral, therefore you subtract that value by the area of the semi-circle.

to find the area of a semi circle the formula is: (1/2) π ( [tex]r^{2}[/tex])

The radius is 2.5 because the diameter is 5, and the radius is half the diameter.

In the figure below, Z is the center of the circle. Suppose that OR=4, ST= 4, UZ= 6, and VZ=4x-6. Find the following.

Answers

Answer:

x = 3 units

SV = 2 units

Step-by-step explanation:

In[tex] \odot Z[/tex] QR and ST are chords such that:

QR = ST = 4

That is both the chords are equal in measure.

Equal chords are at equal distance from the center of the circle. Therefore,

VZ = UZ

4x - 6 = 6

4x = 6 + 6

4x = 12

x = 12/4

x = 3 units

Since, perpendicular dropped from the center of the circle bisects the chord.

[tex] \therefore SV = \frac{1}{2} ST[/tex]

[tex] \therefore SV = \frac{1}{2} \times 4[/tex]

[tex] \therefore SV = 2\: units[/tex]

At a local restaurant, the amount of time that customers have to wait for their food is
normally distributed with a mean of 32 minutes and a standard deviation of 3
minutes. Using the empirical rule, determine the interval of minutes that the middle
99.7% of customers have to wait.

Answers

Answer:

.........................

Step-by-step explanation:

.................................................

Answer:

99.7% of customers have to wait between 8 minutes to 30 minutes for their food.

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 18 minutes

Standard Deviation, σ = 3 minutes

We are given that the distribution of amount of time is a bell shaped distribution that is a normal distribution.

Empirical Formula:

Almost all the data lies within three standard deviation from the mean for a normally distributed data.

About 68% of data lies within one standard deviation from the mean.

About 95% of data lies within two standard deviations of the mean.

About 99.7% of data lies within three standard deviation of the mean.

Thus, 99.7% of the customers have to wait:

`

Thus, 99.7% of customers have to wait between 8 minutes to 30 minutes for their food.

hope this helps

plz can i get brainliest:)

13
Bennie is 7 years older than Ayesha.
Chloe is twice as old as Bennie.
The sum of their three ages is 57.
dersk
Work out the ages of Ayesha, Bennie and Chloe.

Answers



Answer: Ayesha = 9. Bennie = 16. Chloe = 32
Explanation: (A stands for Ayesha, B stands for Bennie and C stands for Chloe) B = A + 7
C = 2(A + 7)
A + A + 7 + 2(A+7) = 57
A + A + 7 + 2A + 14 = 57
4A + 21 = 57
4A = 36
A= 9
hope that helps if you have any questions let me know!!

(y 3 - y 2 + y + 3) ÷ (y + 1)

Answers

Answer:

y^2-2y+3

Step-by-step explanation:

use synthetic division

-1| 1  -1  1  3

      -1  2 -3

   1  -2  3 (0)

  y^2 -2y +3  

Write the equation represented in the verbal phrase below. Then solve the equation. (use x for your variable) The difference of 11 and 2 times a number "x" is 1 Your variable "x" is equal to

Answers

Answer:

x = 5

Step-by-step explanation:

Let

x = the unknown variable

The difference of 11 and 2 times a number "x" is 1

11 - 2x = 1

Find x

11 - 2x = 1

Add 2x to both sides

11 - 2x + 2x = 1 + 2x

11 = 1 + 2x

Subtract 1 from both sides

11 - 1 = 1 + 2x - 1

10 = 2x

Divide both sides by 2

10 / 2 = 2x / 2

5 = x

x = 5

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