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Oduvanchick [21]
3 years ago
14

If f(x)=x-3 and g(x)=x^3 then f(g(3))

Mathematics
1 answer:
ehidna [41]3 years ago
4 0

Answer:

f(g(3)) = 24

Step-by-step explanation:

Evaluate g(3) then substitute the result obtained into f(x)

g(3) = 3³ = 27 , then

f(27) = 27 - 3 = 24

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Write the equation of the line that passes through the points (-6,5) and (3,−5). Put your answer in fully reduced point-slope fo
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Answer:

\displaystyle y-5=-\frac{10}{9}(x+6)

Or:

\displaystyle y+5=-\frac{10}{9}(x-3)

Step-by-step explanation:

We want to write the equation of a line that passes through the points (-6, 5) and (3, -5) in point-slope form.

Point-slope form is given by:

y-y_1=m(x-x_1)

Thus, first, we need to find the slope. We can use the slope formula:

\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{(-5)-(5)}{(3)-(-6)}=\frac{-10}{9}=-\frac{10}{9}

Next, we can use either of the two given points. I'll use (-6, 5). So, let (-6, 5) be (<em>x₁, y₁</em>). Substitute:

\displaystyle y-(5)=-\frac{10}{9}(x-(-6))

Or, fully simplified:

\displaystyle y-5=\frac{-10}{9}(x+6)

Using the other point, we will acquire:

\displaystyle y-(-5)=-\frac{10}{9}(x-(3))

Or, simplified:

\displaystyle y+5=-\frac{10}{9}(x-3)

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I need some help answering some fractions.
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Answer:

Step-by-step explanation:

We want to make equation into slope intercept form.

Like this: y=mx+b

(mx and b are interchangeable)

Step 1) Convert equation

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8x-5y=-11 => -5y = -11-8x

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Sub step b) get y alone

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Equation: y = 11/5 + 8x/5

Step 2) Y-intercept

B is the y-intercept.

B = 11/5

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Step 3) X-intercept

Substitute 0 for y in our equation

0=11/5+8x

Subtract 8x on both sides

-8x = 11/5

Divide by -8 on both sides

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2 years ago
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Step-by-step explanation:

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