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3 years ago

Solve for x, if. 3(x-8)-5=9(x+2)+1 the answer is 7.166 but i don't know how they got it

Mathematics

2 answers:

djverab [1.8K]3 years ago

7 0

The answer and workings are in the document below. Please open it up in a new window to see it in full.

Gwar [14]3 years ago

4 0

<span><u>3(x - 8) - 5 = 9(x + 2) + 1</u></span>

First, you have to get rid of the parentheses:

3(x - 8) is the same as 3x - 24, so the left side is 3x - 29 .

9(x + 2) is the same as 9x + 18, so the right side is 9x + 19 .

Now, the equation is: 3x - 29 = 9x + 19

Subtract 19 from each side: 3x - 48 = 9x

Subtract 3x from each side: - 48 = 6x

Divide each side by 6 : <u> - 8 = x </u>

(I guess the answer is <em>not</em> 7.166 after all.)

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Find a function rule for the line that passes through the origin (0,0) and the point (5, - 13)

inessss [21]

Answer:

The Function rule for line is: $\mathbf{y=-\frac{13}{5}x}$

Option A is correct option.

Step-by-step explanation:

Find a function rule for the line that passes through the origin (0,0) and the point (5, - 13)

The function rule is of form: $\mathbf{y=mx+b}$

where m is slope and b is y-intercept

Finding slope:

The formula used to find slope is: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We have $x_1=0, y_1=0, x_2=5, y_2=-13$

Putting values and finding slope

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-13-0}{5-0}\\Slope=\frac{-13}{5}\\Slope=-\frac{13}{5}$

Finding y-intercept

We will use point(0,0) to find y-intercept

$y=mx+b\\0=-\frac{13}{5}(0)+b\\0=0+b\\b=0$

So, y-intercept is 0

The Function rule for line having slope m=-13/5 and y-intercept b=0:

$y=mx+b\\y=-\frac{13}{5}x+0\\y=-\frac{13}{5}x$

So, The Function rule for line is: $\mathbf{y=-\frac{13}{5}x}$

Option A is correct option.

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3 years ago

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Luba_88 [7]

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3 years ago

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