1) 3.25n
Overall cost of n gallons of gas
2)3.25n = 26
we are spending 26 dollars on 8 gallons of gas
3)40-3.25n
Ammount we have remaining after spending on n gallons of gas out of 40 dollars
4) 40-3.25n = 1.00
The maximum number of gallons of gas we can buy from 40 dollar is 13 gallons and 1 dollar is still remaining to us.
Answer:
Each length of the rope will be 0.8 feet long
The answer can be found by replacing x with 1 in 1 - x. Therefore f(1) equals 0
Hope that helps you
The point at which the graph of the function has a tangent line with the given slope is (-5,15)
<h3>What is a tangent?</h3>
A tangent is a straight line that touches any point on a curve.
Analysis:
slope of the curve
+ 2x is equal to dy/dx = d/dx(
+ 2x) = 2x+2
Which is equal to -8
2x+2 = -8
2x = -8-2
2x = -10
x = -5
substitute x into the equation
y =
+ 2(-5) = 25 - 10 = 15
In conclusion, the point at which the graph of the function has a tangent at -8 is (-5,15)
Learn more about tangent to curves: brainly.com/question/22426360
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Let the number of equations be x and the number of vocabulary questions be y.
x + y = 26 (total num of questions)So, y = 26 - x (eliminate one variable to solve for one first)2x + 5y = 100 (total points)2x + 5 (26 - x) = 100 (substituting 26 - x in place of y)
2x + 130 - 5x = 100 (distributing the 5)-3x = -30x = 10
Since there are 10 equation questions, there must be 16 vocabulary questions to satisfy the total number of questions in the test...