6 times because you find the common denominator which is 8 so 3/4 is 6/8. He needs to fill his cup 6 times.
Answer: C) x = 2
2^{2x + 2} = 2^{3x}
Since both terms (above) have the same base, set the exponents to be equal:
2x + 2 = 3x (Rearrange to solve for x)
x = 2
∴ x = 2
Answer:
"changes the period to pi"
Step-by-step explanation:
f(t) = Sin(t),
Here, t is the period, by definition.
Multiply t by a number that is GREATER THAN 1, makes the period shorter and compressed.
Multiplying t by a number that is between 0 and 1 makes the period expanded.
For the first, if we multiply the period by a, the period becomes 
Since the problem tells us to multiply by 2, we know the period becomes compressed and becomes :
Third answer choice is right.
Y=mx+b
m=slope
b=y itnercept
remember the points go in (x,y) form
also, an easy way to find points is to subsitute values for x andn get values for y
so
6. y=5x-1
some points are (0,-1) (1,4) (2,9) (314)
7. y=-x+8
some points are (0,8) (1,7) (2,6) (3,5)
8. y=0.2x+.3
somepoints are (0,0.3) (1,0.5) (2,0.7) (3,0.9)
9. y=1.5x-3
somepoints are (0,-3) (1,-1.5) (2,0) (3,1.5)
10. y=-1/2x+4
somepoints are (0,4) (1,7/2) (2,3) (3,5/2)
11. y=2/3x-5
some points are (0,-5) (1,-13/3) (2,-11/3) (3,-3)
