Let's take two points so that we can get the equation of the line which goes through those points. P1 (-9, -2), P2 (3, -17):
![m=\frac{y_2-y_1}{x_2-x_1}=\frac{-17-(-2)}{3-(-9)}=\frac{-17+2}{3+9}=-\frac{15}{12}=-\frac{5}{4}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%3D%5Cfrac%7B-17-%28-2%29%7D%7B3-%28-9%29%7D%3D%5Cfrac%7B-17%2B2%7D%7B3%2B9%7D%3D-%5Cfrac%7B15%7D%7B12%7D%3D-%5Cfrac%7B5%7D%7B4%7D)
![\begin{gathered} y-y_1=m(x-x_1) \\ y-(-2)=-\frac{5}{4}\cdot(x-(-9)) \\ y+2=-\frac{5}{4}\cdot(x+9)_{} \\ y=-\frac{5}{4}x-\frac{45}{9}-2 \\ y=-\frac{5}{4}x-7 \\ f(x)=-\frac{5}{4}x-7 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y-y_1%3Dm%28x-x_1%29%20%5C%5C%20y-%28-2%29%3D-%5Cfrac%7B5%7D%7B4%7D%5Ccdot%28x-%28-9%29%29%20%5C%5C%20y%2B2%3D-%5Cfrac%7B5%7D%7B4%7D%5Ccdot%28x%2B9%29_%7B%7D%20%5C%5C%20y%3D-%5Cfrac%7B5%7D%7B4%7Dx-%5Cfrac%7B45%7D%7B9%7D-2%20%5C%5C%20y%3D-%5Cfrac%7B5%7D%7B4%7Dx-7%20%5C%5C%20f%28x%29%3D-%5Cfrac%7B5%7D%7B4%7Dx-7%20%5Cend%7Bgathered%7D)
So, y is the line which goes through the first and last points of the chart.
To proof that the rest of points go through the line as well, we will evalute each point
![\begin{gathered} f(-5)=-\frac{5}{4}\cdot(-5)-7=\frac{25}{4}-7=-\frac{3}{4}\ne-7 \\ f(-1)=-\frac{5}{4}(-1)-7=\frac{5}{4}-7=-\frac{23}{4}\ne-12 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%28-5%29%3D-%5Cfrac%7B5%7D%7B4%7D%5Ccdot%28-5%29-7%3D%5Cfrac%7B25%7D%7B4%7D-7%3D-%5Cfrac%7B3%7D%7B4%7D%5Cne-7%20%5C%5C%20f%28-1%29%3D-%5Cfrac%7B5%7D%7B4%7D%28-1%29-7%3D%5Cfrac%7B5%7D%7B4%7D-7%3D-%5Cfrac%7B23%7D%7B4%7D%5Cne-12%20%5Cend%7Bgathered%7D)
Since the evaluation of these points don't correspond to the values of the chart we can assure that the relationship is not linear
Step-by-step explanation:
x + y = 72
x - y = 40
x = y + 40
so, the first equation is then
y + 40 + y = 72
2y + 40 = 72
2y = 32
y = 16
x = y + 40 = 16 + 40 = 56
The answer is 270 trucks.
Answer:
676000
Step-by-step explanation:
3 digits of the 5-digit code are number 0-9 which is 10 numbers that could go into that spot, after the three digits there are two letters and because there are 26 letters in the alphabet you would multiply 10*10*10*26*26 which equals 676000