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: 87.5%
Step-by-step explanation:
From the question, we are informed that a rancher uses 1400 acres of his property for cattle grazing amd that the area of the property is 1600 acres. To get the percentage used for cattle grazing, we divide 1400 by 1600 and then multiply the result by 100%. Mathematically, this will be expressed as:
= 1400/1600 × 100
= 0.875 × 100%
= 87.5%
The percent that is used for cattle grazing is 87.5%.
Always if you multiply a rational number by another you will get a rational number
Answer:
Step-by-step explanation:
Synthetic division is one way to determine whether or not a given number is a root of the quadratic. x^2 − 12x − 20 can be rewritten as x^2 - 12x + 36 - 36 - 20, or (x - 6)^2 - 56, which does not have integer solutions:
(x - 6)^2 - 56 = 0 becomes (x - 6)^2 = 56, which works out to x - 6 = ± 2√14.
None of the possible roots suggested in this problem turns out to be an actual root.
correct response: PRIME