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34kurt
2 years ago
14

5x+3(x-1) = 8(x + 2) - 10

Mathematics
1 answer:
Levart [38]2 years ago
5 0

Answer:

9

Step-by-step explanation:

5x+3x-3= 8x+16-10

5x+3x-8x=16-10+3

8x-8x=9

= 9

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What is the poinet-slope form of the equation for the line in the graph?​
Ne4ueva [31]

Answer:

y -5 = \frac{9}{13}(x - 7)

Step-by-step explanation:

Given :

Two points are given in graph (-6, -4) and {7, 5).

The point-slope form of the equation of a straight line is:

y -y_{1} = m(x - x_{1})------------(1)

Let (x_{1}, y_{1})=(7,5) and (x_{2}, y_{2})=(-6,-4)

The slope of the line m=\frac{y_{2}- y_{1}}{x_{2}- x_{1}}

Put all known value in above equation.

m=\frac{-4- 5}{-6- 7}

m=\frac{-9}{-13}

m=\frac{9}{13}

The slope of the line m=\frac{9}{13}

We know m, and also know that (x_{1}, y_{1})=(7,5), so we put these value in equation 1.

y -5 = \frac{9}{13}(x - 7)

Therefore, the equation of the line is y -5 = \frac{9}{13}(x - 7).

6 0
2 years ago
How is the graph of y = (-3x)^2 a transformation of the graph of y = x^2?
Lynna [10]
The graph of y = (-3x)^2 is much narrower than it's original graph, but still keeps all of the other properties of it's parent parable y = x^2. The new graph's with is that of the original parabola's with divided by 3. 
3 0
2 years ago
Write the point-slope form of the given line that passes through the points (0, 3) and (4, 0). Identify (x1, y1) as the x-interc
Oksi-84 [34.3K]

The point slope form of the line has the following form:

y – y1 = m (x – x1)

 

The slope m can be calculated using the formula:

m = (y2 – y1) / (x2 – x1)

m = (3 - 0) / (0 – 4) = - ¾

 

So the whole equation is:

y – 0 = - ¾ (x – 4)

y = - ¾ (x – 4) or

<span>y = - 0.75 (x – 4)</span>

7 0
3 years ago
A customer sent in a $230 check to pay off an overdue bill but failed to pay the interest that accrued over the 45 days after th
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$230+($45x$0.42=248.90

That is the equation to solve it.
4 0
3 years ago
Find two numbers, if their sum is −11 and their difference is 41
snow_tiger [21]

The larger one is (-11 + 41)/2 = 15.

The smaller one is (-11 -41)/2 = -26.

_____

For two numbers a and b with sum s and difference d, you can write the equations

a+b=s\\a-b=d

Then adding the equations and dividing that sum by 2, you get

(a+b)+(a-b)=(s)+(d)\\2a=s+d\\a=\dfrac{s+d}{2}

You can subtract the second eqution from the first and get a similar result for the smaller number

(a+b)-(a-b)=(s)-(d)\\2b=s-d\\b=\dfrac{s-d}{2}

These are the formulas we used above.

3 0
3 years ago
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