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kykrilka [37]
3 years ago
6

–24 + 12d = 2(d – 3) + 22

Mathematics
2 answers:
iris [78.8K]3 years ago
4 0

Answer:

d = 4

Step-by-step explanation:

Nuetrik [128]3 years ago
4 0

Answer:

d = 4

Step-by-step explanation:

–24 + 12d = 2(d – 3) + 22

–24 + 12d = 2d - 6 + 22

–24 + 12d = 2d + 16

–24 + 12d - 2d = 16

12d - 2d = 16 + 24

10d = 16 + 24

10d = 40

d = 4

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Anit [1.1K]

Answer:

B

Step-by-step explanation:

The answer would be B, because the y-intercept is positive. To double check I used an online graphing calculator and it is correct.

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8 0
3 years ago
What is the square root of 245?
Simora [160]
The Square Root of 245 is 15.65 (rounded to 2 dec. Places)
8 0
2 years ago
The volume of a cone is 3πx3 cubic units and its height is x units. Which expression represents the radius of the cone’s base, i
dalvyx [7]

Answer:

<em>r=3x</em>

Step-by-step explanation:

<u>The Volume of a Cone</u>

The volume of a cone of radius r and height h is:

\displaystyle V=\frac{1}{3}\pi hr^2

We are given the volume of a cone is

V=3\pi x^3

Equating:

\displaystyle \frac{1}{3}\pi hr^2=3\pi x^3

Multiplying by 3:

\pi hr^2=9\pi x^3

Simplifying by pi:

hr^2=9 x^3

Since h=x:

xr^2=9 x^3

Dividing by x:

r^2=9 x^2

Taking square roots:

r=\sqrt{9 x^2}=3x

Thus: r=3x

5 0
3 years ago
Read 2 more answers
In 1990 the average family income was about $ 39 , 000 , and in 2010 it was about $ 70 , 768 . Let x = 0 represent 1990, x = 1 r
iren2701 [21]

Answer:

<em />f(x) = 1588.4x + 39000<em />

f(15) = 62826

Step-by-step explanation:

Given

In 1990; Income= $39000

In 2010; Income= $70768

Solving (a): An equation in form of f(x) = ax + b

First, we need to determine the slope, a

a = \frac{y_2 - y_1}{x_2 - x_1}

Taking y as income and x as year index.

When x = 0; y = 39000

When x = 20; y = 70768

Substitute these values in the above formula

a = \frac{70768 - 39000}{20 - 0}

a = \frac{31768}{20}

a = 1588.4

Next, is to determine the formula using:

y - y_1 = a(x - x_1)

<em>Considering :When x = 0; y = 39000, we have</em>

<em />y - 39000 = 1588.4(x - 0)<em />

<em />y - 39000 = 1588.4x<em />

<em>Make y the subject of formula</em>

<em />y = 1588.4x + 39000<em />

<em />

<em>Express y as a function of x</em>

<em />f(x) = 1588.4x + 39000<em />

Solving (b): Income in 2005

<em>In 2005, x = 15</em>

So:

f(x) = 1588.4x + 39000 becomes

f(15) = 1588.4 * 15 + 39000

f(15) = 62826

3 0
3 years ago
This is gonna be a 30 0oint question so if you can solve it
USPshnik [31]

Answer:

y = 36

Step-by-step explanation:

Everything in x-column is multiplied by 2, so everything in y-column is divided by 2 as per the inverse function.

=> 72/2

=> 36

5 0
2 years ago
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