Answer:
x <= 0 or 1 = < x <= 5.
Step-by-step explanation:
First we find the critical points:
x(x - 1)(x - 5) = 0
gives x = 0, x = 1 and x = 5.
Construct a Table of values:
<u> x < 0 </u> <u>x = 0 </u> 0<u>< x < 1</u> <u>1 =< x <= 5</u> <u>x = 5</u>
x <0 0 >0 <0 0
x - 1 <0 -1 >0 <0 0
x - 5 < 0 0 > 0 <0 0
x(x-1)(x-5) < 0 0 >0 <0 0
So the answers are x =< 0 or 1 =< x <= 5.
Answer:
x= -6, y= 10
Step-by-step explanation:
x= y + 4
2x = 3y - 2
If we replace "x" with "y+4" in the second equation we get:
2(y+4) = 3y - 2
2y + 8 = 3y - 2
2y - 3y = -2-8
-y = -10
y = 10
Now we can go back to the first equation and solve for x:
x = y + 4
x = 10 + 4 = 14
Answer:
29/30
Step-by-step explanation:
first, we must make sure they have the same denominator!
2/3 x 10/10 = 20/30
3/10 x 3/3 = 9/30
20/30 + 9/30 = 29/30