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Monica [59]
3 years ago
15

For the equation, 2x + 6 = 3x - 10, what is the solution

Mathematics
1 answer:
geniusboy [140]3 years ago
7 0

Answer: x=16

Step-by-step explanation:

2x+6=3x-10

Subtract 6 on both sides

2x+6-6=3x-10-6

2x=3x-16

Subtract 3x on both sides

2x-3x=3x-16-3x

-x=-16

Divide -1 on both sides

\frac{-x}{-1}=\frac{-16}{-1}

x=16

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The answer is 20 since 1/5 of 20 is 4, and 20 + 4 = 24.
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Write an equation for a line parallel to y=-3x+2 that passes through the point (-1,4)
Wewaii [24]

<span>y=−3x+2</span> is a linear equation in slope-intercept form with
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We want the equation of a line with slope <span>m=<span>(−3)</span></span> through the point <span>(<span>−2</span>,<span>−8</span>)</span>

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3 0
3 years ago
X + y = so please help me out
sladkih [1.3K]

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3 0
3 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

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-3x^2-24x-13=-13 intermediate step
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Answer:

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Step-by-step explanation:

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