Answer: x≤4
Step-by-step explanation:
6x≤27−3
2 Simplify 27-327−3 to 2424.
6x\le 246x≤24
3 Divide both sides by 66.
x\le \frac{24}{6}x≤
6
24
4 Simplify \frac{24}{6}
6
24
to 44.
x\le 4x≤4
Answer
q1.
Given:
Rewrite this function in the way as;
then;
and
q2.
Given the function:
and
Confirm f and g are inverses by showing f(g(x)) =x and g(f(x)) =x
First show f(g(x)) =x
f(g(x)) = 9(g(x)) + 3
Substitute the function g(x) we have;
or
= x -3 + 3 = x
f(g(x)) =x
Similarly show that: g(f(x)) =x
Substitute the value of function g(x) we have;
Simplify:
hence proved!
Therefore, f and g are inverse of each other after showing f(g(x)) =x and g(f(x)) =x
The diameter is 8, so the radius is 4 (cut the diameter in half)
r = 4
The height is h = 3
Plug this into the formula below which is the volume of a cylinder
V = pi*r^2*h
V = pi*4^2*3
V = pi*16*3
V = pi*48
V = 48pi <--- this is the exact volume in terms of pi
V = 48*3.14
V = 150.72 <---this is the approximate volume
V = 151 cubic cm is the approximate volume if we round to the nearest whole number
Answer: choice A
Answer:
greater than or equal to -4 but lower than or equal to 3
Step-by-step explanation:
Do you notice anything strange about those points ?
(0, 1),
(1, 2),
(2, 4),
(3, 8).
The y-coordinate of each point is (2) raised to the power of the x-coordinate.
First point: x=0, y=2⁰ = 1
Second point: x=1, y=2¹ = 2
Third point: x=2, y=2² = 4
Fourth point: x=3, y=2³ = 8
The equation of the curve appears to be
y = 2 ^ x .
So, after 10 hours, x=10, and y = 2¹⁰ = 1,024 .