Answer:
(7,9)
Step-by-step explanation:
7x - 8y = -23
7x - 7y = -14
Solve the equation for 7x
7x - 8y = -23
7x = -14 + 7y
Substitute the given value of 7x into the equation 7x - 8y = -23
-14 + 7y - 8y = -23
solve the equation for y
y = 9
substitute the given value of y into the equation 7x = -14 + 7y
7x = -14 + 7(9)
solve the equation for x
x = 7
<u>(7,9)</u>
First observe that x=-1 is a root of the equation. Use long division to divide x^3-3x^2+x+5 by x+1, we find that (x^3-3x^2+x+5)/(x+1)=(x^2-4x+5). Now we need to find the roots of x^2-4x+5.
x^2-4x+5=0,
x^2-4x+4=-1,
(x-2)^2=i,
x-2=i or -1,
x=2+i or 2-i.
The three roots are 2+i, 2-i, -1.
nswer:
209.8
Step-by-step explanation:
the bottom is = 11 * 5
two of the sides are 11 * 9.3 / 2 because they are triangles, and then times 2 because there are two of them
the other two sides are 10.5 * 5 / 2 , and the * 2 because there are two of them again.
(11 * 5) + (11 * 9.3 * 2 / 2) + (10.5 * 5 * 2 / 2) =209.8
Answer:
There was a increase of 1.7% over these three years
Step-by-step explanation:
Multipliers:
For a decrease of a%, we multiply by:
For a increase of a%, we multiply by:
What was the percentage increase/decrease of groundhogs over these three years?
Decrease of 12%(multiplication by 0.88).
Increase of 6%(multiplication by 1.06).
Increase of 9%(multiplication by 1.09).
After these three years:
0.88*1.06*1.09 = 1.017
1.017 - 1 = 0.017
0.017*100% = 1.7%
There was a increase of 1.7% over these three years