Answer: y = 2x + 5
Explanation:
The slope (number before x) is rise (change in y)/run (change in x). The rise is 6 and the run is 3, so the slope is 6/3, or 2.
The second blank is the y-intercept, or where the line crosses the vertical axis. This point is at 5.
Hope this helps!
So it tells us that g(3) = -5 and g'(x) = x^2 + 7.
So g(3) = -5 is the point (3, -5)
Using linear approximation
g(2.99) is the point (2.99, g(3) + g'(3)*(2.99-3))
now we just need to simplify that
(2.99, -5 + (16)*(-.01)) which is (2.99, -5 + -.16) which is (2.99, -5.16)
So g(2.99) = -5.16
Doing the same thing for the other g(3.01)
(3.01, g(3) + g'(3)*(3.01-3))
(3.01, -5 + 16*.01) which is (3.01, -4.84)
So g(3.01) = -4.84
So we have our linear approximation for the two.
If you wanted to, you could check your answer by finding g(x). Since you know g'(x), take the antiderivative and we will get
g(x) = 1/3x^3 + 7x + C
Since we know g(3) = -5, we can use that to solve for C
1/3(3)^3 + 7(3) + C = -5 and we find that C = -35
so that means g(x) = (x^3)/3 + 7x - 35
So just to check our linear approximations use that to find g(2.99) and g(3.01)
g(2.99) = -5.1597
g(3.01) = -4.8397
So as you can see, using the linear approximation we got our answers as
g(2.99) = -5.16
g(3.01) = -4.84
which are both really close to the actual answer. Not a bad method if you ever need to use it.
Answer:
%231
Step-by-step explanation:
To get a percent, just multiply the decimal by 100 to get the percent.
<u>Example: Convert 0.5 into a percentage</u>
0.5 * 100
%50
<u>Problem: Convert 2.31 into a percentage</u>
2.31 * 100
<em>%231</em>
<em />
Answer: %231
You know ABC is isoceles, so AB = BC and BC = 2.5 cm.
That means that the scale factor is KL/BC = 2
So JL = 2AC = 8 cm
