because y^3 is raised to the power of two, we will have to multiply the exponents rather than adding them.
By distributing the power of 2, we will get y^2(6).
Because now the exponents are being multiplied, we can just add them to get y^8. The other y has a power of 1, so we'll just add the power of that y as well to get y^9.
summary:
multiply exponents if they are being raised to a power.
add exponents if they are being multiplied, and only add them if they have the same base (in this case, both the bases of the exponents are y, so we can add them)
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:
a = Negative one-fifth
Step-by-step explanation:
The given equation is :
We need to find the value of a.
Subtract 2/5 from both sides.
So, the correct answer is Negative one-fifth. Hence, the correct option is (b).
Answer: A. The difference of the two means is significant at the 68% confidence level, so the null hypothesis must be rejected.
Step-by-step explanation:
I just got it right on PLATO, so I know it’s 100% correct.
Answer:
This is your answer.
Step-by-step explanation:
There are different kinds of angles:
Angles below 90= Acute
90= Right
91–179= Obtuse
180= Straight Angle
181–359= Reflex Angle
360= Complete Angle or Circle.
Because 80 degrees is less than 90 degrees, Angle ABC is an acute angle.
