Answer:
![-7+5[(-5)^2+(-32)]=-42](https://tex.z-dn.net/?f=-7%2B5%5B%28-5%29%5E2%2B%28-32%29%5D%3D-42)
Step-by-step explanation:
First solve the sums that are within the parentheses.
Remember that if the numbers have equal signs then they are added and the same sign is placed.
If the numbers have different signs they are subtracted and the sign of the major is placed
So:
![-3-2=-5](https://tex.z-dn.net/?f=-3-2%3D-5)
![2^3 -40 = 8-40=-32](https://tex.z-dn.net/?f=2%5E3%20-40%20%3D%208-40%3D-32)
Then we have the following expression:
![-7+5[(-5)^2+(-32)]](https://tex.z-dn.net/?f=-7%2B5%5B%28-5%29%5E2%2B%28-32%29%5D)
Remember that by multiplying signs you get:
(+) * (+) = +
(-) * (-) = +
(+) * (-) = -
(-) * (+) = -
Then:
![-7+5[(-5)^2+(-32)]=-7+5[(-5)*(-5) -32]](https://tex.z-dn.net/?f=-7%2B5%5B%28-5%29%5E2%2B%28-32%29%5D%3D-7%2B5%5B%28-5%29%2A%28-5%29%20-32%5D)
![-7+5[(-5)^2+(-32)]=-7+5[25 -32]](https://tex.z-dn.net/?f=-7%2B5%5B%28-5%29%5E2%2B%28-32%29%5D%3D-7%2B5%5B25%20-32%5D)
![-7+5[(-5)^2+(-32)]=-7+5[-7]](https://tex.z-dn.net/?f=-7%2B5%5B%28-5%29%5E2%2B%28-32%29%5D%3D-7%2B5%5B-7%5D)
![-7+5[(-5)^2+(-32)]=-7-35](https://tex.z-dn.net/?f=-7%2B5%5B%28-5%29%5E2%2B%28-32%29%5D%3D-7-35)
![-7+5[(-5)^2+(-32)]=-42](https://tex.z-dn.net/?f=-7%2B5%5B%28-5%29%5E2%2B%28-32%29%5D%3D-42)
Answer: (-2,2)
Step-by-step explanation: -2 - -4 = -2 and 5 - 7 = 2 so I think (-2,2)
Answer:
The equation to calculate the average rate of change is: y/x
Step-by-step explanation:
y = f(x2) - f(x1)
x = x2 - x1
x1: 1 (The smaller x value. It can be any number)
x2: 2 (The larger x value. It also can be any number)
f(x1): The value when you plug x1 into the function.
f(x2): The value when you plug x2 into the function.
If we know this, the variables for this problem are assuming the function is 10(5.5)^x:
x2: 2
x1: 1
f(x2): 10(5.5)^(2) = 302.5
f(x1): 10(5.5)^(1) = 55
This means:
y = 302.5 - 55 = 247.5
x = 2 - 1 = 1
Remember: the equation for avg rate of change is y/x
So, our average rate of change for the function on the interval [1,2] is 247.5 (y/x = 247.5/1)
You’re answer is 13/20000 I hope this helps!!