When we are given a function f(x) and we are asked for f(a) [a is any number], it means to replace (or substitute) a into x in the function (x=a)
In this problem, we are asked to replace x with 2 in f(x), the first equation, and replace x with 3 in the second equation.
It looks like this:
f(2) = 2^3 + 5(2)^2 = 8 + 5(4) = 8 + 20 = 28
g(3) = 2(3) + 4 = 6 + 4 = 10
We finally just add these two numbers from f(2) and g(3) and get 28 + 10 = 38
Answer:
7p
Step-by-step explanation:
Since it is 7 dollars per person, and p stands for person, the admission fee would be 7p.
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Answer:
x=12
Step-by-step explanation:
Both these angles are *supplementary* to each other, this means that (10x-20) and (6x+8) will both equal 180 degrees.
1. Add 10x - 20 and 6x + 8 together
By adding them together, you get 16x - 12
2. Since both of them added together would also equal 180, this means that 16x - 12 = 180
3. Use the additive inverse property and add 12 to both sides. This gives you 16x = 192
4. In order to isolate x, divide 16 on both sides.
192/16 = 12
Therefore, x is 12
Answer:
-2
Step-by-step explanation:
10/-5= -2
Negative times a negative equals to a positive: -2 x -5 = 10
Answer:
x= 6.85 or 89/13
Step-by-step explanation:
perimeter is sum of all sides added, so add them all and set them equal to 84
4(x-3) + 3x - 1 + 6x + 8 = 84
distribute
4x + 12 + 3x - 1 + 6x + 8 = 84
combine like terms
13x - 5 = 84
solve for x
x = 89/13 = 6.85