For 2a, we plug 3 in to get (4*3+3)/(3^2-7)=15/2. Since 2 is a prime number and 15 is not divisible by 2, this is simplest form. For b, using PEMDAS, division goes before addition or subtraction and 3/3^3 would therefore be done and you could not add 4*3 beforehand (or subtract 7).
For 4a, we plug it in to get sqrt(25-(-3)^2)=sqrt(25-9)=sqrt(16)=4
For b, since 13^2=169 and 25-169 is negative, we cannot find the square root due to that nothing squared is negative.
The answer is: "
28 " .
___________________________________________________ "
Twenty-eight (28) students said they would vote for Brianna."
___________________________________________________Explanation:___________________________________________________We are given, in the problem, that there are "45 students total" .
___________________________________________________The fraction:

can be reduced as follows:
![\frac{56}{90} = (56÷2) / (90÷2) = [tex] \frac{28}{45}](https://tex.z-dn.net/?f=%20%5Cfrac%7B56%7D%7B90%7D%20%3D%20%2856%C3%B72%29%20%2F%20%2890%C3%B72%29%20%3D%20%5Btex%5D%20%5Cfrac%7B28%7D%7B45%7D%20)
.
___________________________________________________Thus, "
28 students out of 45 students voted for Brianna" .
___________________________________________________The answer is: "
28 students" .
___________________________________________________Hope this helps!
___________________________________________________
Y=14/15x-37/15
Step-by-step explanation:
9514 1404 393
Answer:
B. (x-2)^2=12
Step-by-step explanation:
The constant that completes the square is the square of half the coefficient of the x-term. That value is (-4/2)^2 = 4.
There is already a constant of 2 on the left side of the equal sign, so we need to add 2 to both sides to bring that constant value up to 4.
x^2 -4x +2 = 10 . . . . . . . given
x^2 -4x +2 +2 = 10 +2 . . . . complete the square (add 2 to both sides)
(x -2)^2 = 12 . . . . . . . . . write as a square
Answer: f(-3) = 278, f(-4) = 232
Step-by-step explanation:
f(x) = 4x³ - 6x² - 144x + 8
f(-3) = 4(-3)³ - 6(-3)² - 144(-3) + 8
f(-3) = 4(-27) - 6(9) - 144(-3) + 8
f(-3) = 278
f(-4) = 4(-4)³ - 6(-4)² - 144(-4) + 8
f(-4) = 4(-64) - 6(16) - 144(-4) + 8
f(-4) = 232