Answer:
The solutions listed from the smallest to the greatest are:
x:

y: -1 1 -1 1
Step-by-step explanation:
The slope of the tangent line at a point of the curve is:


The tangent line is horizontal when
. Then:



, for all 
, for all 
The first four solutions are:
x:

y: 1 -1 1 -1
The solutions listed from the smallest to the greatest are:
x:

y: -1 1 -1 1
3.16227766017 because I did the math and yea I think that’s correct
1.) 4(x+3)
Find the GCF, Greatest Common Factor, of 4x and 12.
4x=2*2*x
12=3*2*2
The greatest common factor is 4. Put this outside of the parentheses. (You would multiply the 2*2)
Then, put the rest of the factors as a sum. (Only the factors on the same line.)
Solution: 4(x+3)
To check, distribute to see if it works.
4x+12
2.) 2(4r+7)
Find the GCF of 8r and 14
8r=2*2*2*r
14= -1*7*2
The greatest common factor is 2. (There is only 1 two, so you would not multiply them.)
Then, put the rest of the factors as a sum. (Only the factors on the same line.)
Multiply the 2*2*r as one addend and the -1*7 as the other.
Solution: 2(4r-7)
To check, distribute to see if it works.
8r-14
Do you get it now?
3.) 5(x+7)
4.) 7(2x+1)
5.) Cannot be factored.
32x-15
Find the GCF of 32x and -15
32x: 2*2*2*2*2*x
-15: -1*5*3
Because there are no similar factors other than 1, it cannot be factored.
6.) 8(4x+3)
7.) 3(2x-3)
8.) 24(1x+2)
9.) 9(-2x+8)
10.) Cannot be factored
11.) 8(1x+3)
12.) 50(1x+5)
Answer:
C 18 x minus 9 = 72
D 3 (6 x minus 3) = 72
E x = 4.5
Step-by-step explanation:
Hope this helped
First of all, you have to calculate slope of that,
m = (y2-y1)/(x2-x1) = (1-0)/(0+2) = 1/2
now, equation would be y-y1 = m(x-x1)
y-1 = 1/2(x-0)
y-1 = x/2
y = x/2+ 1