Answer:
![-4\leq x](https://tex.z-dn.net/?f=-4%5Cleq%20x%3C5)
that is the required inequality
Answer:
P = 61 - 4x
Step-by-step explanation:
According to a recent survey, in 2000, 61% of households had one or more pets. Throughout the next decade, this decreased by approximately 4% per year.
Therefore, if P represents the percentage of households having pets and x is the number of years after 2000, the expression for P as a function of x will be
P = 61 - 4x (Answer)
Answer:
I think D
Step-by-step explanation:
Answer:
There is some mistake in the question, because the solutions are x = -1.445 and x = -34.555
Step-by-step explanation:
Given the functions:
f(x) = x² + 4x + 10
g(x) = -32x - 40
we want to find the points at which f(x) = g(x).
x² + 4x + 10 = -32x - 40
x² + 4x + 10 + 32x + 40 = 0
x² + 36x + 50 = 0
Using quadratic formula:
![x = \frac{-b \pm \sqrt{b^2-4(a)(c)}}{2(a)}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%20%5Cpm%20%5Csqrt%7Bb%5E2-4%28a%29%28c%29%7D%7D%7B2%28a%29%7D%20)
![x = \frac{-36 \pm \sqrt{36^2-4(1)(50)}}{2(1)}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-36%20%5Cpm%20%5Csqrt%7B36%5E2-4%281%29%2850%29%7D%7D%7B2%281%29%7D%20)
![x = \frac{-36 \pm 33.11}{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-36%20%5Cpm%2033.11%7D%7B2%7D%20)
![x_1 = \frac{-36 + 33.11}{2}](https://tex.z-dn.net/?f=x_1%20%3D%20%5Cfrac%7B-36%20%2B%2033.11%7D%7B2%7D%20)
![x_1 = -1.445](https://tex.z-dn.net/?f=x_1%20%3D%20-1.445%20)
![x_2 = \frac{-36 - 33.11}{2}](https://tex.z-dn.net/?f=x_2%20%3D%20%5Cfrac%7B-36%20-%2033.11%7D%7B2%7D%20)
![x_2 = -34.555](https://tex.z-dn.net/?f=x_2%20%3D%20-34.555)