Hey mate. Here is your answer.
Set up the composite function and evaluate.
g (17x^2 - 10x) = 153x^2 - 90x - 9
Hope this helps.
It is important to go through details that are provided in the question. Based on those details the answer to the question can be easily deduced.
Let us assume the number of lions at the zoo = x
Number of male lions in the zoo = 2
Then
(1/6) * x = 2
x/6 = 2
x = 2 * 6
= 12
So there are a total of 12 lions in the zoo. I hope the procedure is clear enough for you to understand. Using this method, it will be possible for you to do similar problems in future without requiring any help from outside. Only be careful about the calculation part.
Its right,vertical,and complementary.Hope this helps you a bunch!
Answer:
Without the '...' the answer is -5230.
Step-by-step explanation:
Answer:
Width: 6
Length: 20
Step-by-step explanation:
So the area of a rectangle can be defined as:
where w=width and l=length.
In this case we don't know what the length is, so let's just say the length is the variable l, and since the width is 14 units less than the length, we can express it as (l-14). this gives us the equation:
. We can solve for l, since we're given the area which is 120. So let's set the equation equal to that:
Original Equation:

Substitute 120 as A (given)

There is many ways to solve this equation: factoring, quadratic equation, completing the square etc... but in this case I'll just complete the square
Add (b/2)^2 to both sides to complete the square

Simplify

Rewrite right side a square binomial

Take the square root of both sides

Add 7 to both sides

to solve for width simply subtract 14 from the length which is 20, so the width is 6
Width: 6
L: 20