Hello! So, 25% of the 60 tables seat two people. To find this number, multiply 60 by 25%. 60 * 25% (0.25) is 15. 15 of them seat 2 people and 15 * 2 is 30.The other 45 tables seat 4 people. When you multiply both number, you get 180. Now, let's add the numbers together. 180 + 30 is 210. There are 210 seats in the restaurant. The answer is C: 210.
Answer: f(x)/g(x) = 3x^2 + 6x - 2 - 12/3x+1
Step-by-step explanation:
The first function is f(x) = 9x^3+21x^2-14
The second function is g(x) = 3x+1
f(x)/g(x = 9x^3+21x^2-14/3x+1
We perform the long division as shown in the attachment to obtain the quotient as: Q(x) = 3x^2+6x - 2 and remainder R = -12
Therefore f(x)/g(x) = 3x^2 + 6x - 2 - 12/3x-1
Where x does not = -1/3
Answer:
we conclude that g(x) = f(x – 2) + 3 means the graph of g(x) is shifted 2 units right and 3 units up.
Option A is correct
Step-by-step explanation:
To shift a function right
- Subtract inside the function's argument. For example,
is basically
shifted b units to the right.
- Subtracting inside the function's argument moves you to the right.
So, g(x) = f(x – 2) means f(x) is shifted two units to the right.
and to move a function up
- Add outside the function. For example,
is basically
moved up
units.
So, g(x) = f(x – 2) + 3 means, f(x) is moved 3 units up.
Therefore, overall, after two transformations, we conclude
that g(x) = f(x – 2) + 3 means the graph of g(x) is shifted 2 units right and 3 units up.
So, option A is correct.
Answer:
5
Step-by-step explanation:
20/4
ITHINK THIS IS WHAT YOUR LOOKING FOR
Hi. You have to do trial and error with each of the choices to see which of those apply. They are points on the given function y=22x+32 that lie on point (x,y). Just substitute the x-and y values to the function.
a. (10,480) => x = 10, y = 480
y = 480 = 22(10) + 32
480 = 252 (does not apply)
b. (5,142) => x = 5, y = 142
y = 142= 22(5) + 32
142 = 142 (apply)
c. (8,208) => x = 8, y = 208
y = 208 = 22(8) + 32
208 = 208 (apply)
d. (7,154) => x = 7, y = 154
y = 154 = 22(7) + 32
154 = 186 (does not apply)
The answer is B and C.