Answer: 15x-30
Step-by-step explanation:
This is a composite function, which means you are combining two functions together. This can seem tricky, but once you understand how to break these problems into pieces it becomes much easier.
g(f(x)) can be read as g of f of x. Which means we are plugging the function f(x) into the function g(x). Think of it like this, if I were to ask you to find g(3) you would need to plug the value 3 into the function g(x). This would look like this: g(3) = 5(3) So g(3)= 15
However, when we are working with a composite function instead of a whole number we want to first look at the second function, so that we can rewrite the problem. In this problem f(x) = 3x -6
So, I can rewrite this as g(3x -6)
- Now, all you have to do is plug this function into g (x) just like I plugged in the value of 3 above. This will look like this:
g(3x-6) = 5(3x-6)
- Then, you just need to multiply each term by 5, following the distributive property:
g(3x-6) = 15x - 30
Step-by-step explanation:
A notable ______ of the symposium was the speech by a famous entrepreneur.
Answer: How do you find you four consecutive odd integers such as three times the sum of the first and the second is 15 less than the fourth?
Step-by-step explanation: So, the normal consecutive integers numbers are: 2,3,4,5. And the even consecutive integers numbers are: 2,4,6,8. And the odd consecutive integers are: 3,5,7,9. Consecutive integers formula are the algebraic representations of the consecutive integers. The formula to get a consecutive integer is n + 1.
Same as above, 7 is one of 4 consecutive integers, then the result is only 4 cases:
, 5, 6, 7
, 6, 7, 8
, 7, 8, 9
, 8, 9, 10
Hope this helps.
Answer:
20 feet
Step-by-step explanation:
Parimeter is how far you would walk if you made a lap around the shape, walking on the edge lines like a balance beam.
To find perimeter, we need to add up all the sides.
Because it's a square each side has the same length.
There are 4 sides.
5 x 4 = 20
or 5 + 5 + 5 + 5 = 20
The perimeter is 20 feet
Answer:
Step-by-step explanation:
To find the area of a semicircle the formula is

The square

(rectangle)
(triangle)