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Alecsey [184]
3 years ago
9

Solve LaTeX: \frac{-x}{3} \:-15 x > − 15 LaTeX: x\: \:-2

Mathematics
1 answer:
Fudgin [204]3 years ago
4 0

Answer:

<h3>The answer is option A</h3>

Step-by-step explanation:

<h3>\frac{  - x}{3}  < 5</h3>

<u>First of all cross multiply</u>

That's

<h3>- x < 5 \times 3 \\  - x < 15</h3>

Next divide both sides by - 1 to make x positive and change the sign from < to >

That's

<h3>\frac{ - x}{ - 1}  <  \frac{ 15}{ - 1}</h3>

We have the final answer as

<h2>x >  - 15</h2>

Hope this helps you

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7 0
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
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