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marusya05 [52]
3 years ago
15

If f(x) = 3x+ 10x and g(x) = 4x - 2, find (f - g)(x).

Mathematics
2 answers:
Degger [83]3 years ago
8 0

Answer:

9x +2

Step-by-step explanation:

f(x) = 3x+ 10x

g(x) = 4x - 2,

(f - g)(x)= 3x+10x - (4x-2)

Distribute the minus sign

            = 3x+10x -4x+2

Combine like terms

           = 9x +2

Bogdan [553]3 years ago
4 0

Answer:

-x + 12

Step-by-step explanation:

Shown in picture:

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Enter the equation of the line in slope-intercept form. Slope is -1/2, and (-9,4) is on the line. The equation of the line is y=
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Answer:

y=\displaystyle-\frac{1}{2}x-\displaystyle\frac{1}{2}

Step-by-step explanation:

Hi there!

Slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x is 0)

<u>1) Plug in the slope (</u><u><em>m</em></u><u>)</u>

We're given that the slope is \displaystyle-\frac{1}{2}. In y=mx+b, replace <em>m</em> with \displaystyle-\frac{1}{2}:

y=\displaystyle-\frac{1}{2}x+b

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

y=\displaystyle-\frac{1}{2}x+b

We're given the point (-9,4). Plug this point into the equation as (x,y) and solve for <em>b</em>:

4=\displaystyle-\frac{1}{2}(-9)+b\\\\4=\displaystyle\frac{9}{2}+b

Subtract \displaystyle\frac{9}{2} from both sides to isolate <em>b</em>:

4-\displaystyle\frac{9}{2}=\displaystyle\frac{9}{2}+b- \displaystyle\frac{9}{2}\\\\\displaystyle-\frac{1}{2} = b

Therefore, the y-intercept is \displaystyle-\frac{1}{2}. Plug this back into y=\displaystyle-\frac{1}{2}x+b as <em>b</em>:

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I hope this helps!

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