Sugar: x pounds
flour: 2x + 5 pounds
2x + 3(2x + 5) = 40
2x + 6x + 15 = 40
8x = 25
x = 3.125
-> a sack of flour is 3.125 + 5 = 8.125 pounds
I hope it‘s coorect
Answer:
b. -3
Step-by-step explanation:
i hope this helps :)
I think it’s just A the rest all come out with -12 after being distributed
Answer:
Option B. It represents a nonlinear function because its points are not on a straight line.
Step-by-step explanation:
Let
![A(0,0),B(1,1),C(2,4)](https://tex.z-dn.net/?f=A%280%2C0%29%2CB%281%2C1%29%2CC%282%2C4%29)
we know that
If point A,B and C are on a straight line
then
The slope of AB must be equal to the slope of AC
The formula to calculate the slope between two points is equal to
![m=\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
<em>Find the slope AB</em>
![A(0,0),B(1,1)](https://tex.z-dn.net/?f=A%280%2C0%29%2CB%281%2C1%29)
substitute in the formula
![m_A_B=\frac{1-0}{1-0}=1](https://tex.z-dn.net/?f=m_A_B%3D%5Cfrac%7B1-0%7D%7B1-0%7D%3D1)
<em>Find the slope AC</em>
![A(0,0),C(2,4)](https://tex.z-dn.net/?f=A%280%2C0%29%2CC%282%2C4%29)
substitute in the formula
![m_A_C=\frac{4-0}{2-0}=2](https://tex.z-dn.net/?f=m_A_C%3D%5Cfrac%7B4-0%7D%7B2-0%7D%3D2)
so
![m_A_B\neq m_A_C](https://tex.z-dn.net/?f=m_A_B%5Cneq%20m_A_C)
Points A, B and C are not on a straight line
therefore
It represents a nonlinear function because its points are not on a straight line
An inequality to model this would be
7x + 8y ≥ 336.
We multiply the number of minutes running, x, by the number of calories burned each minute by running, 7. We multiply the number of minutes swimming, y, by the number of calories burned each minute by swimming, 8. Adding these together, it needs to be greater than or equal to 336, since she wants to burn at least that many calories.