What is the distance between Nicholas’s school and the post office?
1 answer:
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Answer:
So starting off with 1a f(4)
We simply substitute x with 4 for the function
f(4)=2(4)-5
f(4)=8-5
f(4)=3
Next 1b, here it's a little different since you have to multiply the functions I think ( please correct me if I'm wrong).
gf(4), basically means functions g and f are being multiplied and their variables are being substituted with 4.
g(4)=4^2+3
g(4)=16+3
g(4)=19
and we also know from before that f(4)=3, so we'll do 19 times 3 which is 57
For the next two, I may be wrong, but I'm still going to try:
anything to the power of a negative is a fraction so for f^-1(x)=2x-5 we'll have 1/f(x)=x/2+5/2
And then for g^-1, we'll have 1/g(x)=
Hope I helped :)
Answer:
<h2>7x - 4y + 18 = 0</h2>Step-by-step explanation:
The slope-intercept form of an equation of a line:
m - slope
b - y-intercept
========================================
Let
========================================
We have the equation of a line in a general form (Ax + By + C = 0)
Convert it to the slope-intercept form:
<em>subtract 7y from both sides</em>
<em>divide both sides by (-7)</em>
Therefore
We have the equation:
Put the coordinates of the point (-2, 1) to the equation, and solve for <em>b</em> :
<em>multiply both sides by 2</em>
<em>add 7 to both sides</em>
<em>divide both sides by 2</em>
[te]x\dfrac{9}{2}=b\to b=\dfrac{9}{2}[/tex]
Finally:
- <em>slope-intercept form</em>
Convert to the general form:
<em>multiply both sides by 4</em>
<em>subtract 4y from both sides</em>
Answer:
Step-by-step explanation:
To solve for s, you need to follow these steps.
First multiply by t both sides of the equation.
We get
Now we divide by r, both sides of the equation.
Finallly we obtain:
or