Answer:
Step-by-step explanation:
-7x = x² + 12
Set equation to zero:
x² + 7x + 12 = 0
Quadratic formula:
x = [-7±√(7²-4·1·12)]/[2·1]
= [-7±√1]/2
= -3,-4
The zeros are -3 and -4
Answer:
B) 6/7x2 = 1 5/7
Step-by-step explanation:
6/7 (2)
= ( 6/7) (2/1)
= (6)(2)/(7)(1)
12/7 or 1 5/7
We have been given 4 choices. We are asked to choose the volume that could belong to a cube with a side length that is an integer.
We know that volume of a cube is cube of each side length.
To solve our given problem, we will take cube root of each given value. The cube root of which value will be an integer that will be our correct choice.
A. 
![\sqrt[3]{s^3}=\sqrt[3]{18}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bs%5E3%7D%3D%5Csqrt%5B3%5D%7B18%7D)
Since cube root of 18 is not an integer, therefore, 18 is not a correct choice.
B. 
![\sqrt[3]{s^3}=\sqrt[3]{36}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bs%5E3%7D%3D%5Csqrt%5B3%5D%7B36%7D)
Since cube root of 36 is not an integer, therefore, 36 is not a correct choice.
C. 
![\sqrt[3]{s^3}=\sqrt[3]{64}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bs%5E3%7D%3D%5Csqrt%5B3%5D%7B64%7D)
Since cube root of 64 is 4 and 4 is an integer, therefore, 64 is the correct choice.
D. 
![\sqrt[3]{s^3}=\sqrt[3]{100}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bs%5E3%7D%3D%5Csqrt%5B3%5D%7B100%7D)
Since cube root of 100 is not an integer, therefore, 100 is not a correct choice.
Answer:
Linear equations
Step-by-step explanation:
An easy and simple equation. F(t) = -15t +300
9514 1404 393
Answer:
A. {1, 7, 11}
Step-by-step explanation:
The constant in the equation is 1, so that is the value when x=0. No answer choice can be correct unless it includes the value 1. The only viable choice is A.
_____
If you want to go to the trouble to evaluate the expression for the different values of x, you can. It often works well to rewrite the expression to "Horner form":
(2x -1)x +1
For x = -2, this is (2(-2) -1)(-2) +1 = (-5)(-2) +1 = 11
For x = 0, this is 1
For x = 2, this is (2(2) -1)(2) +1 = (3)(2) +1 = 7
So, the range for the given domain is {1, 7, 11} . . . . . matches choice A
