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Answer:

f'(x) = (x + 1)/15

Step-by-step explanation:

f(x) = 15x -1,

Think of the term "f(x)" as a single variable, then solve for the term "x", manipulate the equation like how one would manipulate a literal equation, by inverse operations.

f(x) = 15x - 1

+1            +1

f(x) + 1 = 15x

/15         /15

(f(x) + 1)/15 = x

This means that (denote in the way one would denote an inverse of a function);

f'(x) = (x + 1)/15

Answer:

[tex]644,000,000\ cm^2[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\Area\ of\ the\ map\ in\ m^2=64400\ m^2\\Hence,\ all\ we\ just\ have\ to\ do\ is\ to\ convert\ it\ into\ cm^2.\\Hence,\\Lets\ derive\ the\ formula\ of\ conversion\ from\ m^2\ to\ cm^2\ and\ vice\ versa.\\We\ know\ that,\\1m=100\ cm\\By\ squaring\ both\ the\ sides\ we\ get,\\(1m)^2=(100cm)^2\\Hence,\\1m^2=100^2\ cm^2\\1m^2=10,000\ cm^2\\Just\ in\ case\ you\ wanna\ convert\ cm^2\ to\ m^2,\\1m^2=10,000\ cm^2\\1cm^2=\frac{1}{10,000} m^2\\[/tex]

[tex]Here,\\As\ the\ area\ of\ the\ field\ in\ m^2=64,400\ m^2\\ As\ the\ area\ of\ the\ field\ in\ cm^2=64,400\ m^2*10,000=644,000,000\ cm^2[/tex]

Answer:

[tex]p(e) = \frac{5}{36} [/tex]

Step-by-step explanation:

A dice contains numbers from 1 to 6.

Number whose sum is 8

2 and 6

3 and 5

4 and 4

5 and 3

2 and 6

When two dice is thrown, There are 36 possibilities {6(from the first dice) × 6(from the second dice)}.

Probability of obtaining a sum of 8 is 5/36.

Answer:

the answer is B

Step-by-step explanation:

your welcome

Answer:

y=3x-17

Step-by-step explanation:

Answer:

Awwww

Step-by-step explanation:

Thank you! I hope you know that as well :). I really needed that today so thank you

Answer:

Green grapes are less expensive.

Step-by-step explanation:

5.08/2 = 2.54

Multiply that by 5

You get $12.70 for 5 bags.

Answer:

75 miles- 3 gallons

Step-by-step explanation:

What is the gallons for 50 miles? It doesn't say...

Answer:

3

Step-by-step explanation:

4 x 3 = 12

4 ÷ 12 = 3

its like multiplication just changing the way you solve it

Answer:

.33

Step-by-step explanation:

Answer:

= 1 R 2

= 1 2/3

Step-by-step explanation:

Answer:

Answer:

$360

Step-by-step explanation:

Let the amount that she earned on the paycheck be represented by x

Hence,

15% of x = $54

Therefore:

15/100 × x = $54

15x/100 = $54

Cross Multiply

15x = $54 × 100

15x = $5400

x = $5400/15

x = $360

Therefore, the amount that she earned on that paycheck = $360

Answer:

The number of child tickets sold by the amusement park is 189.

Step-by-step explanation:

Let A represent the number of adult tickets and C represents the number of child tickets, therefore we have:

3:1 = C:A .................... (1)

Where;

C = ?

A = 63

Substituting for the value into equation (1), we have:

3:1 = C:63

This can be converted to solve for C as follows:

3 / (3 + 1) = C / (C + 63)

3 / 4 = C / (C + 63)

0.75 = C / (C + 63)

0.75(C + 63) = C

0.75C + (0.75 * 63) = C

0.75C + 47.25 = C

47.25 = C - 0.75C

47.25 = 0.25C

C = 47.25 / 0.25

C = 189

Therefore, the number of child tickets sold by the amusement park is 189.

Answer:

2x+y=20 and -5y=6x+12 are your equations.

You can turn 2x+y=20 into y=-2x+20

Substitute this value of y into the other equation.

-5(-2x+20)=-6x+12

10x-100=-6x+12

16x=112

x=7

Substitute this value of x into the other equation.

2(7)+y=20

y=6

Your answer is x=7 and y=6.

Answer:

[tex]A_2=128.69\ in^2[/tex]

Step-by-step explanation:

The area of a circle varies directly as the square of its radius.

[tex]A=\pi r^2[/tex]

If r₁ = 2in, A₁ = 12.568 in₂, r₂ = 6.4 in, A₂ = ?

ATQ,

[tex]\dfrac{A_1}{A_2}=\dfrac{r_1^2}{r_2^2}\\\\A_2=\dfrac{A_1r_2^2}{r_1^2}\\\\A_2=\dfrac{12.568 \times 6.4^2}{2^2}\\\\=128.69\ in^2[/tex]

So, the new area of the circle is [tex]128.69\ in^2[/tex].

Answer:

m=4

Step-by-step explanation:

To find the average rate of change, you have to calculate the change in y over x which gives you 4

Step-by-step explanation:

There are 40 DuBois students going on a field trip.

Each one pays their teacher $8.75 to cover admission to the museum and lunch.

Admission for the students is $120 and each one gets an equal amount to spend on lunch.

To Find :

How much will each DuBois student be able to spend on lunch.

Solution :

Amount they paid for admission :

\begin{gathered}P =\$ \dfrac{120}{40}\\\\P=\$3\end{gathered}P=$40120P=$3

Now, amount of money to spend on lunch is 8.75 -8.75−3 = $5.75 .

Hence, this is the required solution.

Answer:

Each GT student gets $3 for lunch

Step-by-step explanation:

40 GT student gave teacher $8.75 so you multiply 40 by 8.75= $350.00

To find how much they need to spend for lunch you divide $120 by 40 student because they paid for it. And you get $3!

I hope this helps!

Answer: x=−4.895105y

Step-by-step explanation:

−7x−4y=−4.14x+10y

Step 1: Add 4.14x to both sides.

−7x−4y+4.14x=−4.14x+10y+4.14x

−2.86x−4y=10y

Step 2: Add 4y to both sides.

−2.86x−4y+4y=10y+4y

−2.86x=14y

Step 3: Divide both sides by -2.86.

−2.86x

−2.86

=

14y

−2.86

x=−4.895105y

Answer:

0.08333

Step-by-step explanation:

3(1/6)^2

1/6=0.1666

1/6^2=0.02777

3*0.02777=0.08333

Answer:

1/12

Step-by-step explanation:

This is the answer because:

1) 1/6^2 = 1/36

2) 1/36 x 3 = 3/36 = 1/12 ↔ 3 ÷ 3 = 1 & 36 ÷ 3 = 12 = 1/12

Therefore, the answer is 1/12.

Hope this helps! :D

Answer:

(-8;11] is the range of the graph

Answer:

Move it two places to the right

Step-by-step explanation:

For example:

10/3.68=  2.717  

See attached snip

Answer:

i think its 81

Step-by-step explanation:

Answer:

106 sq meters

Step-by-step explanation:

Break the figure down. I have attached an image as you can see see below.

The figure consists of three rectangles

So Area of rectangle 1 is = 4 x 7 = 28 sq meters

So Area of rectangle 2 is = 10 x 5 = 50 sq meters

So Area of rectangle 3 is = Area of rectangle 1 = 28 sq meters as they are the same rectangles

So area of the whole figure is =  Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3

Area of whole figure is = 28 + 50 + 28

Area of whole figure is = 106 sq meters.

Answer:

1. Equatoin = y = 2/9x + 1   Slope = 2/9   Y- interpects= 1

 2.Equatoin =  y= 7/5x - 7  Slope = 7/5   Y- interpects= 7

Step-by-step explanation:

Answer:

27/35

write all numerators above the LCD 35

20 + 7 over 35

add the numerators

The answer is in the two images below and one of them shows step-by-step on how to solve it.

Hope this helps my friend! :)

Answer:

Ans 30 km per hour............

Answer:

A

Step-by-step explanation:

The product mean multiplication

Answer:

maybe 15 is the answer so

Answer:

x = 75°

Step-by-step explanation:

The angle at the centre is twice the angle on the circle subtended on the same arc.

The angle at the centre is

360° - (285 - x)

= 360 - 285 + x

= 75 + x

Thus

x = [tex]\frac{1}{2}[/tex] (75 + x) ← multiply both sides by 2 to clear the fraction

2x = 75 + x ( subtract x from both sides )

x = 75°

Answer:

Help with what?

Step-by-step explanation: