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3 years ago

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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When a number is added to 1/5 of itself, the result is 24. The equation that models this problem is n + 1/5n = 24. What is the v

Zielflug [23.3K]

The answer is 20 since 1/5 of 20 is 4, and 20 + 4 = 24.

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3 years ago

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Write an equation for a line parallel to y=-3x+2 that passes through the point (-1,4)

Wewaii [24]

y=−3x+2 is a linear equation in slope-intercept form with
slope m=(−3)
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Using the point-slope linear equation form:
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3 years ago

X + y = so please help me out

sladkih [1.3K]

Answer: x + y = z

Example:

Lets say if x 5 and y is 10 then z would equal 15.

5 + 10 = 15

Hope this helped! :)

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:

 $f(x) = 1588.4x + 39000$ 

$f(15) = 62826$

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:

$y - y_1 = a(x - x_1)$

Considering :When x = 0; y = 39000, we have

 $y - 39000 = 1588.4(x - 0)$ 

 $y - 39000 = 1588.4x$ 

Make y the subject of formula

 $y = 1588.4x + 39000$ 

Express y as a function of x

 $f(x) = 1588.4x + 39000$ 

Solving (b): Income in 2005

In 2005, x = 15

So:

$f(x) = 1588.4x + 39000$ becomes

$f(15) = 1588.4 * 15 + 39000$

$f(15) = 62826$

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3 years ago

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Novay_Z [31]

Answer:

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Step-by-step explanation:

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