I personally don’t know the answer so i can’t help
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
Answer:
c³ + cd³ + 3c²d + 3cd²
Step-by-step explanation:
(c+d)^3 is worded as <em>c plus d quantity cubed</em> which doesn't mean you cube everything inside. It means you multiply the quantity by itself 3 times.
(c+d)(c+d)(c+d)
<em>You can only multiply 2 at a time so do the first two then the result and the third one.</em>
<em>Distribute everything in one quantity to the other so </em><em>c*c = c^2 and c*d = cd</em>
= (c^2 + 2cd + d^2)(c+d)
= c^3 + c^2d + 2c^2d + 2cd^2 + cd^2 + cd^3
<em>Combine like terms</em>
= c³ + 3c²d + 3cd² + cd³
Answer:
144 carrots
Step-by-step explanation:
Let C stand for the number of carrots that a student can plant.
We are told that carrots may be planted at a density of 9 carrots/ft^2.
Let A be the area, in ft^2, that can be planted with carrots. The area of a rectangle is Base x Length (in feet).
We can therefore write:
C = (9 carrots/ft^2)*A
In the garden shown, the area is A = (4 ft) x (4 ft) = 16 ft^2
C = 9 carrots/ft^2)*(16 ft^2)
C = 144 carrots
Answer:
• It is possible to divide the seventh graders into teams of equal sizes.
,
• 13 students should be on each team.
Explanation:
The seventh grade of Wilson consists of three classes; one with 28 students, one with 29, and one with 34. Therefore, the total number of students in seventh grade is:
He wants each team to have between 4 and 8 students.
Therefore:
• It is possible to divide the seventh graders into teams of equal sizes.
,
• 13 students should be on each team.
