Answer:
Step-by-step explanation:
y + 1 = -9(x + 9)
y + 1 = -9x - 81
y = -9x - 82
answer is A
114 = 19y
This is true because they are vertical angles. Now, let's divide both sides by 19
6 = y
To solve this problem, we must substitute the value of -1 in for x in the function. This means that for every x there is in the equation, we must substitute the value -1 in for it in order to find the value of g(-1). This is modeled below:
g(x) = -5x + 13
g(-1) = -5(-1) + 13
Next, we must simplify using the order of operations. PEMDAS outlines this concept, telling us to simplify parentheses first, exponents next, then multiplication and division, and finally addition and subtraction. In this case, we will solve the multiplication and then the addition, as modeled below:
g(-1) = -5(-1) + 13
g(-1) = 5 + 13
g(-1) = 18
Therefore, your answer is 18.
Hope this helps!
Answer:
The inverse of the given function is
. The time taken to travel 180 miles is 3.6 hours.
Step-by-step explanation:
It is given that a car travels at a constant speed of 50 miles per hour. A function for distance traveled is also given as d(t)=50t.
It is required to find the inverse of the function by expressing the time travel in terms of distance traveled and also find t(180).
To find the inverse, express time traveled in terms of distance traveled using normal algebraic methods and then substitute 180 for t and explain its results.
Step 1 of 2
The given function is d(t)=50t.
Consider d(t) as d and t as t(d) and rewrite the equation.
The rewritten function is d=50 t(d)
Divide by 50 on both sides of the equation.

Step 2 of 2
Substitute 180 for $t$ in the simplified expression and interpret the results.

The time taken to travel 180 miles is 3.6 hours.