Answer:
9x^2 25x+14
Step-by-step explanation:
using FOIL:
(x+2)(9x+7)
9x^2 +7x + 18x +14
9x^2 25x+14
Answer:
![y=9x+33](https://tex.z-dn.net/?f=y%3D9x%2B33)
33 gallons of water to begin with.
Step-by-step explanation:
So we essentially are given two coordinates: (6,87) and (21,222). To find an equation, we simply need to find the slope and y-intercept. We know it's a linear equation because it's a steady stream, meaning a constant slope.
The slope is:
![m=\frac{y_2-y_1}{x_2-x_1}=\frac{222-87}{21-6}=135/15=9](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%3D%5Cfrac%7B222-87%7D%7B21-6%7D%3D135%2F15%3D9)
So, the rate at which the stream flows is 9 gallons per minute.
Now, let's find the initial amount of water. To do this, we can use point-slope form. Pick either of the two points. I'm going to use (6,87).
![y-y_1=m(x-x_1)\\y-87=9(x-6)\\y-87=19-54\\y=9x+33](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29%5C%5Cy-87%3D9%28x-6%29%5C%5Cy-87%3D19-54%5C%5Cy%3D9x%2B33)
So, there were 33 gallons of water in the tank to begin with.
If we observe the graph it crosses x-axis at the following points:
1) x = - 2
2) x = - 5
This means, x+ 2 and x + 5 are the factors of the polynomial. A polynomial can be expressed as the product of its factors. So we can express the given polynomial as (x + 2)(x + 5)
Thus the answer to above question is option C
0.04 gallons per mile
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1. -2(3x+4)
because -2 times 3= -6 and 4+4=8