May you please help me with this :)

Answer:

[tex]f"'(x) = 2(x-4)^2 - 1[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2[/tex] --- the quadratic function

Vertically stretched by 2

Translation: [tex]4\ units[/tex] left and [tex]1\ unit[/tex] down

Required

Determine the new function

[tex]f(x) = x^2[/tex]

The rule for vertical stretch is:

[tex](x,y) \to (x,ay)[/tex]

In this case:

[tex]a = 2[/tex]

So, we have:

[tex]f(x) = x^2[/tex]

[tex]f'(x) = a * f(x)[/tex]

[tex]f'(x) = a * x^2[/tex]

Substitute: [tex]a = 2[/tex]

[tex]f'(x) = 2 * x^2[/tex]

[tex]f'(x) =2x^2[/tex]

Translation: 4 units left

The rule is:

[tex](x,y) \to (x - c,y)[/tex]

In this case: [tex]c =4[/tex]

So, we have:

[tex]f"(x) = 2(x - 4)^2[/tex]

Translation: 1 unit down

The rule is:

[tex](x,y) \to (x,y-d)[/tex]

In this case, [tex]d=1[/tex]

So, we have:

[tex]f"'(x) = f"(x) - 1[/tex]

[tex]f"'(x) = 2(x-4)^2 - 1[/tex]

Answer:

The answer is in a link!

no.

Answer:

A

Step-by-step explanation:

A because it is the only one the recipe calls for 1 cup of sugar and 1/2 cup of flour, the point is in the middle but also on one.

Answer:

$289.66

Step-by-step explanation:

A=P(1+r)^t

P=250

r= .0375

t= 4

A=250(1+.0375)^4

A= 289.66

$ 289.66 will be the balance at the end of the 4 years.

One of the most important ideas in finance is compound interest, which means that the interest you earn each year is added to your principal and grows at a growing rate. It serves as the foundation for everything from a personal savings strategy to long-term stock market development. It also takes into consideration the effects of inflation and the relevance of debt repayment.

Given, Damien deposited $250 in an account that earned 3.75% interest compounded yearly. Hence,

principal amount = 250

rate = 3.75%

time period = 4

From compound interest formula  (A) = [tex]P(1 + \frac{r}{n})^{nt}[/tex]

Final amount (A) =  250 ( 1 + 3.75/ 1)^4 = 289.66

Therefore Damien will have 283.66$ at the end of the four years.

Learn more about compound interest here:

https://brainly.com/question/29335425

#SPJ5

Answer:

40 degrees

Step-by-step explanation:

Answer:

Angle E = 25 deg because of reflective

Angle C = 115 degree because 180 - 65

Since triangle = 180 deg

Angle D = 180 - 115  - 25

= 40 deg

Step-by-step explanation:

Answer:

(5,3) and (0,-1)

Gradient,m =3-(-1)/5-0

m=4/5

y=mx+C

y-3=4/5 (x-5)

y=4x/5-4+3

y=4x/5 -1

Answer:6

Step-by-step explanation: for mean you add up the heights and divide it by the amount of numbers there are

Answer:

5x-3=3x+5

5x-3x=5+3

2x=8

x=8/2

x=4

Therefore,

Value of 2x-8

Substitute the value of x

2(4)-8

8-8=0

If you are helped with my answer pls tag me brianliest

I really want it

Plss

THANK you.....

Answer:

30.67

Step-by-step explanation:

Given the following

Opposite side = x

Adjacent = 17

Angle = 61degrees

Using the SOH  CAH TOA identity

tan theta = opp/adj

tan 61 = x/17

x = 17tan61

x = 17(1.8040)

x = 30.67

Hence the value of x is 30.67

Answer:

50.27in

Step-by-step explanation:

Given data

Diameter of small tire= 13in

Radius= 13/2= 6.5in

Circumference= 2πr

C= 2*3.142*6.5

C= 40.85 in

Diameter of Big tire= 29in

Radius= 29/2= 14.5in

Circumference= 2πr

C= 2*3.142*14.5

C= 91.118in

Hence the difference in distance between the two tires after on revolution is

=91.118-40.85

=50.27in

Answer:

2

Step-by-step explanation:

4 can be divided by 2 & 2 can be divided by 2

Answer:

[tex]11 \frac{11}{20}[/tex]

Step-by-step explanation:

Answer:

11.55

Step-by-step explanation:

Answer:

preferred

ability

extraordinary

parading

playing

squeaky clean

occasion

immediately

Answer:

approximately 6.6 yards :)  

Step-by-step explanation:

Answer:

6.6

Step-by-step explanation:

take pi as 3.14

formula for circumfurence is 2*pi*r

so 2r=20.724/pi

2r=6.6

since diameter is 2 radius, the diameter is 6.6

Answer:

82.083333333333%

Step-by-step explanation:

Answer:

72 square units

Step-by-step explanation:

To get these, we will use the attached diagram as a case study

Since each cube is 1cubic unit, hence the length of the side of a cube is 1unit

From the diagram

Length  = 6units

Width = 3 units

Height = 4units

Volume of the prism = Length * Width * Height

Volume of the prism = 6 * 3 * 4

Volume of the prism = 18 * 4

Volume of the prism = 72 sq.units

Hence the volume of the prism is 72 square units

Answer:

Complex numbers often use the letter i (that is, they often have imaginary elements) while real numbers don't have any imaginary elements. Below are some examples:

Step-by-step explanation:

1+2i is an example of a complex number.

3a - 4b is an example of a real number.

Answer:

15π cubic units

Step-by-step explanation:

the formula for the volume of a cone is:

V = (base area x height) / 3

In this case we have

(5π x 9)/3 = 15π cubic units

Answer:

235.5 Cubic Units

Step-by-step explanation:

V=1/3B*H

=1/3(π5^2)9

=1/3(3.14*25)9

=3(3.14*25)

=75*3.14=235.5 Cubic Units

Answer:

5

Step-by-step explanation:

like my answer please...

Answer:

19.550

Step-by-step explanation:

Sorry if I am wrong.....

B. Michelle weighed 75 pounds two years ago

Answer:

She is wrong. She needs 140 square feet.

Explanation:

(8×10)+(4×15) = 140

Answer:

The value of the angle is 60 degrees

Step-by-step explanation:

Here, we want to find the value of the angle marked 2

From the question, we can see that we have three marked interior angles

These are the angles 1, 2 and 3

Mathematically, the interior angles of an equilateral triangle are equal

This means that each of the interior angle of an equilateral triangle measures 60 degrees

Hence, this means that the value of the angle marked 2 is 60 degrees