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3 years ago

13

HELP ASAP!!!!!!!! 15 POINTS + BRAINLIEST!!!!!!

1 answer:

Andre45 [30]3 years ago

6 0

A) c=18
0.5c^2 +13=94
subtract 13 from both sides
0.5c^2 = 81
Square root of both sides to get c alone
0.5c=9
double c to make it just c
c=18

B) x=8
(x-2)^2+1=37
Subtract one from each side
(x-2)^2=36
square root each side
x-2=6
add the 2 over
x=8

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Is (-2,5) a solution to the inequality y<-3x+4 show steps

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4 years ago

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

What is the simplified form of square root of 144x^36?

trasher [3.6K]

Answer:

The correct option is B.

Step-by-step explanation:

The given expression is

$\sqrt{144x^{36}}$

Use the property of radicals.

$\sqrt{ab}=\sqrt{a}\sqrt{b}$

$\sqrt{144x^{36}}=\sqrt{144}\times \sqrt{x^{36}}$

Use the property of exponent.

$a^{mn}=(a^m)^n$

$\sqrt{144x^{36}}=12\times \sqrt{(x^{18})^2}$

$\sqrt{144x^{36}}=12\times x^{18}$

$\sqrt{144x^{36}}=12x^{18}$

Therefore option B is correct.

3 0

3 years ago

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