The temperature would be -10 degrees
Answer:
y=2/3x+5
Step-by-step explanation:
Parallel lines share the same slope so we already know the slope: 2/3.
Now we need to find the y-intercept for the equation. To do that, replace 4 with b. We have y=2/3x+b.
To find out what b is, we need to plug in the x and y values we are given into the current equation. We get 7=2/3(3)+b.
7=2+b
5=b
Now we can put all the information we have together.
y=2/3x+5
X - y = 8
x + 2 = 3y.....x = 3y - 2
3y - 2 - y = 8
2y = 10
y = 5
x - y = 8
x - 5 = 8
x = 8 + 5
x = 13
so x = 13 and y = 5
f(x+1) = 16(x+1)² - (x+1) = 16(x²+2x+1) - x - 1
= 16x² + 32x + 16 - x - 1 = 16x²+31x+15
so
f(x+1)-f(x) = 16x²+31x+15 - (16x² - x)
= 16x²+31x+15 - 16x² + x
= 32x + 15
