Answer:
C. f⁻¹(x) = 3 - 5x
Step-by-step explanation:
To find the inverse of a function, switch x and y and solve for y.
f(x) = (3 - x)/5
Change f(x) to y.
y = (3 - x)/5
Switch x and y.
x = (3 - y)/5
Multiply both sides by 5.
5x = 3 - y
Subtract 3 from both sides.
5x - 3 = -y
Multiply both sides by -1.
-5x + 3 = y
Switch the sides.
y = -5x + 3
Change the equation.
y = 3 - 5x
Answer:
Step-by-step explanation:
hello :
D. There are infinitely many solutions because :
x+y=4 multiply by : 2
equation equivalent to 2x+2y =8
same line
Answer:
Step-by-step explanation:
The two points can be made into a right triangle with the two sides defined by two lines drawn from the two given points. Use the Pythagorean Theorem to solve for the hypotenuse, the distance between the two points. See attached graph.
6^2 + 2^2 = x^2
36 + 4 = x^2
x^2 = 40
x = 6.32
Answer:
v = 72 km/h
Step-by-step explanation:
Given that,
The distance covered by the Patrick, d = 288 km
Time taken, t = 4 hours
We need to find the average speed of Patrick. We know that the average speed of an object is equal to the total distance covered divided by total time taken. Let it is v. So,
So, his average speed is equal to 72 km/h.
First use pythagoras thereom to find AD ; 10^2 -8^2, square rooted. Then find DC , again using pythagoras thereom, 17^2-8^2, square rooted. Now you have AD and DC, use pythagoras thereom ; AD^2 + DC^2 = AC^2