Answer:
a) x=0, x=1
b)x=0, x=4/3
Step-by-step explanation:
I didnt use the graph, just used algebra. For part a, you can find the answers using the graph by looking at the value of x when y = whatever value they give.
A)
3x²-3x+2=2
3x²-3x+0
x(3x-3)=0
For the product of two things to equal zero, one of them has to be zero. For example, if ab=0, then either a or b (or both) are zero.
Therefore..
x=0
or 3x-3=0, ∴x=1
b)
3x²-3x-1 = x-1
3x²-4x=0
x(3x-4)=0
∴x=0, x=4/3
Answer:
x = - 12 6/7
Step-by-step explanation:
x - 12x/5= 18
Get a common denominator on the left
5/5 x -12/5x = 18
Subtract
-7/5 x = 18
Multiply each side by -5/7 to isolate x
-5/7 *-7/5 x = -5/7 *18
x = -5*18/7
x = -90/7
Changing this to a mixed number
7 goes into 90 1 2 times with 6 left over
x = - 12 6/7
Shorter piece = x
Longer piece = 2x
x + 2x = 33
3x = 33
x = 11 feet
2x = 11 × 2
2x = 22 feet
So one piece will be 11 feet and the other will be 22 feet.
Hope this helps!
Sin(-x) is equal to - sin(x)
Therefore, sin(-35) = -sin 35
Your answer is B.
