A and F are true. because A is y=2x+7, and F is y=2x+7.
We know that the equation y=2x+7 has a point 0,7 and with the slope being 2, rise over run would make another point 1,9. And because these are linear equations if the equation y=2x+7 goes through 1,9 then it will go though -2,3 as well.
Consider the function
, which has derivative
.
The linear approximation of
for some value
within a neighborhood of
is given by
Let
. Then
can be estimated to be
![\sqrt[3]{63.97}\approx4-\dfrac{0.03}{48}=3.999375](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B63.97%7D%5Capprox4-%5Cdfrac%7B0.03%7D%7B48%7D%3D3.999375)
Since
for
, it follows that
must be strictly increasing over that part of its domain, which means the linear approximation lies strictly above the function
. This means the estimated value is an overestimation.
Indeed, the actual value is closer to the number 3.999374902...
Answer:
A.
Step-by-step explanation:
I think it makes the most sense sorry if i got it wrong
The equation of the line would be
y = mx+b
where m is the slope, b is the y intercept.
<span>The line will form a triangular region in the first quadrant. Its area would be 1/2 base times height. The height is the y intercept
and the base is y intercept divided by slope. Therefore,</span>
A = b^2/2m
At point (2,5)
5 = 2m+b
Substitute that in the area
A = b^2/5-b
to find the least area, differentiate the area with respect to the height and equate it to 0
dA/db = 0
<span>find b and
use that to find m. Then, you can have the equation of the line.</span>
Answer:x=5
Step-by-step explanation:
First we do the parenthesis
-4(7+2x)=-7x-33
To get
-28+-8x=7x+-33
and
-8x-28=-7x-33
Then we Add 7x to both sides.
-8x-28+7x=-7-33+7x
-x-28=-33
Then we Add 28 to both sides.
-x-28+28=-33+28
-x=-5
Lastly Divide both sides by -1.
-x/-1=-5/-1
X=5
