Answer: C
Step-by-step explanation:
(fog)(3) is the same as finding f(g(3)). To solve, we first need to solve g(3). then, we solve for f(g(3)).
g(3)=5(3) [multiply]
g(3)=15
Now, we plug in 15 into f(x).
f(g(3))=-2(15)+8 [multiply]
f(g(3))=-30+8 [add]
f(g(3))=-22
Now, we know that C is the correct answer.
So 60 fruits
the ratio is apples to oranges=3:2
they are simplified so they have 3 apple units to 2 orange units
therefor
60=2+3=5 fruit units
dividd 60 by 5 to find 1 fruit unit
60/5=12
apples=3 units
apples=3 times 12=36
oranges=2 units
oranges=2 times 12=24
36 apples and 24 oranges
Answer:
w =
Step-by-step explanation:
The question is
We can first use distributive property to simplify, the distributive property is
Thus we have:
<em>Now we combine like terms and simplify to get the final answer for w</em><em>.</em>
Thus, w =
1. Find the slope
2. Y - Y1 = M ( X -X1) Plug the value. M is the slope and the point (X1,Y1)
Answer:
3.
Step-by-step explanation:
This is a geometric series so the sum is:
a1 * r^n - 1 / (r - 1)
= 1 * (2^101 -1) / (2-1)
= 2^101 - 1.
Find the remainder when 2^101 is divided by 7:
Note that 101 = 14*7 + 3 so
2^101 = 2^(7*14 + 3) = 2^3 * (2^14)^7 = 8 * (2^14)^7.
By Fermat's Little Theorem (2^14) ^ 7 = 2^14 mod 7 = 4^7 mod 7.
So 2^101 mod 7 = (8 * 4^7) mod 7
= (8 * 4) mod 7
= 32 mod 7
= 4 = the remainder when 2^101 is divided by 7.
So the remainder when 2^101- 1 is divided by 7 is 4 - 1 = 3..