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
Anwser: (-1,-5)
Why:
All you have to do is plug in the coordinates into the equation...
(5,10):
10+5=2(5+1)
15=10+2
15=12
This is false so this ordered pair isn’t a solution
(-1,-5):
-5+5=2(-1+1)
0=-2+2
0=0
This statement is true therefore this ordered pair is a solution and is the only solution.
tl;dr Answer is C
Here we will have to calculate 3 different areas separately.
When calculating the area of the triangle we will use the formula
A = (h*b)/2
A = Area
h = height
b = base
To find the height we do X - Z
23 - 15 = 8 ft
To find the base we do Y - W
19 - 13 = 6 ft
Using the formula above we can now solve for A
A = (8*6)/2
A = (48)/2
A = 24 sq ft
Now we solve the two rectangles using the formula
A = wl
w = width
l = length
We will calculate the area of the left most rectangle first.
We know the length of the rectangle because it's Y - W and we are given the width of the triangle.
w = 15 ft
l = 6 ft
A = 15*6
A = 90 sq ft
Second Rectangle has the width of X and length of W
w = 23 ft
l = 13 ft
A = 23 * 13
A = 299 sq ft
Now we add all the areas to give us the total area of the warehouse.
24 + 90 + 299 = 413 sq ft
Therefore, the answer is C
Q1: y = -3/2x +1
Q2: The graph changes vertically from -1 to 3 (4 units) at the same time it changes horizontally from -4 to 1/2 (4.5 units). The rate of change is 4/4.5 = 8/9 ≈ 0.8889. The closest answer selection is 9/10.
Q3: x=-2
Q4: The graph changes vertically by -4 at the same time it changes horizontally by +1. The slope is 4/-1 = -4. The y-intercept is +1, so the equation is
.. y = -4x +1
Q5: After the same pattern as above,
.. y = 5/2*x +5
I think b or d if I am wrong forgive me:)
