Considering that the car does 50 miles per gallon, the linear function for the number of gallons of fuel in Jim's fuel tank, n, in terms of the number of miles x that Jim has driven since filling his tank is given by:
<h3>What is a linear function?</h3>
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem:
- Jim's car holds 14 gallons of fuel, hence
.
- Considering it does 50 miles per gallon, and the amount in the tank will decrease, the slope is
.
Hence, the function is:
You can learn more about linear functions at brainly.com/question/25898120
Answer:
(x,y) = (-1,1)
Step-by-step explanation:
Given the equations
y = 2x + 3
x - y = -2
substitute the value of y in the first equation into the second
x - (2x + 3) = -2
x -2x - 3 = -2
-x - 3 = -2
add 3 to both sides
-x = -2 + 3
- x = 1
Divide both sides by -1
x = -1
Substitute into the first equation
y = 2(-1) + 3
y = -2 + 3
y = 1
Multiply it out
x^2 + 4x -8x -32
Combine like terms
x^2 -4x - 32
Answer:
300 dollars
Step-by-step explanation:
Let the original amount = x
x - 2/5x was what his mother's share looked.
5/5 x - 2/5 x
3/5x is what is left.
3/5 x - 1/4 * 3/5 x - 2/3x * 3/5 = his sister's share and his brothers
3/5x - 1/4*3/5 x - 2/3 * 3/5 = 15
3/5x * (1 - 1/4 - 2/3) = 15
3/5 x 5/60 = 15
15 / 300 * x = 15
1/20 x = 15
x = 15 * 20
x = 300
We can get the angle with
tan a= opposite side / adjacent side = 35ft/ 50ft=0.7, so a = arctan(0.7)=35°
look at the image
