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Lilit [14]
4 years ago
14

What's X? to: 15x - 7x = (-52) - 5x

Mathematics
2 answers:
Studentka2010 [4]4 years ago
6 0
-4

Because 15x-7x= 8x
8x+5x= 13x
13x= -52
-52 / 13= -4
x = -4

ollegr [7]4 years ago
3 0
First, condense what's on the right side of the problem:
15x-7x=-52-5x \\ 8x=-52-5x
Nest, get all the terms with x on one side. To do this, add 5x to both sides:
(8x)+5x=(-52-5x)+5x \\ 13x=-52
Finally, divide each side by 13 to get x alone:
(13x)/13=(-52)/13 \\ x=-4
The answer is x = -4.

To check, simply plug -4 in for x like so:
15(-4)-7(-4)=-52-5(-4) \\ -60--28=-52--20 \\ -60+28=-52+20 \\ -32=-32
Since we get the same answer on both sides of the equation, we know our answer is correct!

Hope this helps!
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The maximized value of the function is (c) 119/2

<h3>Maximization problem</h3>

Maximization problems are used to determine the optimal solution of a linear programming model

<h3>Objective function</h3>

The objective function is given as:

P(x,y) = 11x + 10y

<h3>Constraints</h3>

The constraints are given as:

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<h3>Graph</h3>

See attachment for the graph of the constraints

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P =59.493

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P =59.5

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P =\frac{119}{2}

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Read more about maximization problem at:

brainly.com/question/16826001

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3 years ago
23) Write the equation in slope-intercept form of the line that contains (4, -1) and is perpendicular to
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Step-by-step explanation:

Since it is asking for a perpendicular line, we take the reciprocal of the slope in the given equation to use as the slope for the perpendicular line.

In y = x + 2, m = 1. However, for a perpendicular line we flip and multiply by a negative 1.

(Example: If m = 3, we would take the reciprocal of it and it turns into m = -1/3. If m = - 1/4, we would take the reciprocal of it and it turns into m = 4.)

So, the m = 1 turns into a m = -1.

Now, you can use the point (4,-1) to form a point-slope equation first.

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Then, use basic algebra to form a slope-intercept form equation.

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