Answer:
x = 1 and 10
Step-by-step explanation:
Given the equation \sqrt{-x+26}=x-6, we are to find the value of x
Take the square of both sides
(\sqrt{-x+26})²= (x-6)²
-x+26 = (x-6)²
Expand the parenthesis
-x+26 = x²-12x+36
x²-12x+36+x-26 = 0
x²-11x+10 = 0
x²-10x-x +10 = 0
x(x-10) -1()-10) = 0
(x-1)(x-10) = 0
x - 1 =0 and x - 10 = 0
x = 1 and 10
Hence the value of x is 1 and 10
Let S=score on the second exam, then
(67+S+(S+7))/3=84
cross multiply
2S+74=252
2S=178
S=89
So second exam: 89
third exam=89+7=96
Check: (67+89+96)/3=84 ok.
Answer:
-8
Step-by-step explanation
2 to the power of -1 = 0.5
5 to the power of -1 = 0.2
0.5/0.2 = 2.5
So,
(2.5)2 x -5/8 to the power of -1
-5/8 = -0.625
-0.625 to the power of -1 = -1.6
So,
(2.5)2 x -0.625
5 x -0.625
= -8
16 minutes because 40/5 is 8 meaning 8 times 2 which equals 16
Answer:
For any value of b different from 2 the system will have no solution.
Step-by-step explanation:
we have
we know that
If b=2
then
the system has infinite solutions (the equations on both sides would be the same)
therefore
For any value of b different from 2 the system will have no solution. (parallel lines with different y-intercept)
