Answer:
Step-by-step explanation:
Consider the real number y such that f ⁻¹(x) = y
We need to find y in order to determine the expression of f ⁻¹(x)
f(y) = x ⇔ -2y + 4 = x
⇔ 4 - x = 2y
⇔ y = (4 - x)/2
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The linear equation that can be used to calculate daily car rentals is f(x) = -20x + 320
Since we are not told what to find, we can look for t<u>he linear equation that can be used to calculate daily car rentals</u>;
- Let the charge amount be y
- Let the amount per mile of the truck rent be x.
- If rent-An-SUV charges an $80 fee to rent a truck and $12 per mile, this can be expressed in coordinate form as (12, 80)
- Similarly, if another rental company charges a $150 fee to rent a truck and $8.50 per mile, this can also be written in a coordinate form as (8.50, 150)
The standard linear expression is given as f(x) = mx + b
- m is the rate of change
- b is the y- intercept
Get the rate of change;
Get the y-intercept;
80 = -20(12) + b
80 = -240 + b
b = 320
Get the required linear equation;
f(x) = mx + b
f(x) = -20x + 320
Hence the linear equation that can be used to calculate daily car rentals is f(x) = -20x + 320
Learn more on linear equation here: brainly.com/question/12788590
9514 1404 393
Answer:
77/85
Step-by-step explanation:
<u>Given</u>:
cos(A) = 4/5
sin(B) = 15/17
<u>Find</u>:
cos(A-B)
<u>Solution</u>:
From your knowledge of Pythagorean triples, you know that one of them is (3, 4, 5) and another is (8, 15, 17). Using your imagination, or by drawing the triangles, you can determine the needed trig functions to be ...
sin(A) = 3/5
cos(B) = 8/17
__
Alternatively, you can use the Pythagorean identity to find ...
sin(A) = √(1 -cos²(A)) = √(1 -(4/5)²) = √(9/25) = 3/5
cos(B) = √(1 -sin²(B)) = √(1 -(15/17)²) = √(64/289) = 8/17
__
Then application of the angle difference formula is straightforward.
cos(A -B) = cos(A)cos(B) +sin(A)sin(B)
cos(A -B) = (4/5)(8/17) +(3/5)(15/17) = (32 +45)/85
cos(A -B) = 77/85
_____
Some graphing calculators can express the result ...
cos(arccos(4/5) -arcsin(15/17)) ≈ 0.90588235294
... as the fraction 77/85
