All you would have to do is add the two numbers together if im interpreting the question right so it would be 415 miles
Answer:
the gradient is 3
y- intercept is 4
Step-by-step explanation:
when you're asked the gradient, you can find it as a coefficient of"x" in equation where the coefficient of "y" is one.
y=mx+b
m=> gradient
b=> y- intercept
Answer:
5.09 units
Step-by-step explanation:
Given equation
in the interval 
So we integrate 
in the given interaval
Let us integrate 
first.
let
Using integration by parts we get
So here
![\int f(x)=2\int\limits^4_1 {\ln x}dx\\ =2(x\ln x-x)_1^4\\ =2[(4\ln 4-4)-(1\ln 1-1)]\\ =2[4\ln 4-4+1]\\ =5.09\ units](https://tex.z-dn.net/?f=%5Cint%20f%28x%29%3D2%5Cint%5Climits%5E4_1%20%7B%5Cln%20x%7Ddx%5C%5C%20%3D2%28x%5Cln%20x-x%29_1%5E4%5C%5C%20%3D2%5B%284%5Cln%204-4%29-%281%5Cln%201-1%29%5D%5C%5C%20%3D2%5B4%5Cln%204-4%2B1%5D%5C%5C%20%3D5.09%5C%20units)
The area of the the region between the curve and horizontal axis is 5.09 units.
Answer:
$8.50
Step-by-step explanation:
let the price before tax be $x
given that the sales tax rate is 4%, hence the amount she paid in taxes
= 4% of x
= (4/100)x
= 0.04x
We can now build an equation for what she paid:
Amount Paid = price before tax + amount paid in taxes
8.84 = x + 0.04x
8.84 = 1.04x (divide both sides by 1.04 and rearranging)
x = 8.84 / 1.04
x = $8.50
