Answer:
1.
, base is 8 and exponent is 5
2.
, the base is -1 and the exponent is 7
3. -2 *
, the base is a and the exponent is 3
Answer:
<h3>5x</h3>
Step-by-step explanation:
The additive inverse of a function is that value added that will sum it up to zero
If y is the additive inverse of 4x, then y = -4x
Given the expression 17x+3y
Substitute y = -4x into the expression to have;
17x + 3(-4x)
17x -12x
5x
Hence the value of the expression in terms of x is 5x
Answer:
1
Step-by-step explanation:
Answer:

Step-by-step explanation:
<u>Function modeling</u>
Real-life situations often require the help of mathematics to model numerically what happens when the variables involved can change. It could even be used to predict some expected outcomes from those models.
The problem states Janice receives $.40 per pound when he recycles less or equal than 99 pounds of aluminum. If x is the number of recycled pounds, then the amount of money he receives is

We also know that if he recycles more than 100 pounds of aluminum, the pay increases to $0.5 per pound. In that case, the amount of money is

This is a case where the function is defined differently depending on the conditions of the input variable x. It's called a piecewise function. The function can be written as

Note the function is not well constructed because there is a gap for x=100 where M is not defined. If we establish that for 100 pounds the payment is $0.5, then the second piece would include x=100
Answer: 1
Step-by-step explanation:K
To make the expression a perfect square, wenwed to add to the expression the square of half the coefficient of the x which is 2
Now we have
x² + 2x + (2/2)²
x² + 2x +1²
x²+ 2x + 1,
So we need to add 1 to make the expression a perfect square.