Answer: I’m going to do the first problem with a fully detailed explanation and just answer the other ones! :)
Factoring: v^2-4v-60
The middle number is -4 and the last number is -60.
Factoring means we want something like
(v+_)(v+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get -4
Multiply together to get -60
Can you think of the two numbers?
Try 6 and -10:
6+-10 = -4
6*-10 = -60
Fill in the blanks in
(v+_)(v+_)
with 6 and -10 to get...
(v+6)(v-10)
Second Problem: (x-4)(x-9)
Third Problem: 6(x+5)(x+8)
Fourth Problem: (k+5)(k+10)
Fifth Problem: (a-4)(a-4)
C. 2x + 3
You have many ways to solve this!
You could...
A) multiply all the answer choices by 3x-2 and see what matches
B) Factor the trinomial
C) Divide the trinomial by the binomial using long division
A function is a relation where each input value is assigned to exactly one output value.<span>
The domain of a function is the set of all input values, or x-values, for which the function is defined.
The range of a function is the set of all output values, or y-values, for which the function is defined.
To write the equation y = ax + b in function notation, f(x) substitute for y.</span><span>
</span>
Answer: 15
Step-by-step explanation:
Let's define the concept of inverse functions.
If we have a function h(x), such that it has an inverse, and:
h(x) = y.
Then the inverse function j(x) must meet the following:
j(y) = x.
Now, we want to calculate:
h( j(15) ).
Let's suppose that:
j(15) = A.
(Where A can be any real number).
then, by the above relation, we must have that:
h(A) = 15.
Now we can replace j(15) by A in h(j(15)):
h( j(15) ) = h( A ) = 15.