Answer:
Always
Step-by-step explanation:
A mononomial's variable can only have exponents 0,1,2,3 etc so the product will also be a mononomial.
Jenna is correct. This is because the square root of 2 is an irrational number. And if the number is a prime number, the answer is less likely to have a rational square root.
Answer:
Step-by-step explanation:
<u>To make the given piecewise function continuous we need:</u>
- ax² - b = 6 and 5ax + b = 6 at x = 1
<u>It gives us the system:</u>
- a(1²) - b = 6 ⇒ a - b = 6
- 5a(1) + b = 6 ⇒ 5a + b = 6
<u>Sum of the two:</u>
- a - b + 5a + b = 6 + 6
- 6a = 12
- a = 2
<u>Then b is:</u>
-2b + 7 > 27.5
- 2b > 27.5 - 7
- 2b > 20.5
b < - 10.25
<u>Answer:</u>
Nickels = 44.6
Dimes = 3.4
<u>Step-by-step explanation:</u>
We know that Jessica has 48 coins of which some are nickels and some are dimes so we can write it as:
n = amount of nickels
d = amount of dimes
--- (1)
We are to find the number of nickels and dimes if their total worth is $3.25.
Since a dime is worth 10¢ and a nickel is 5¢, so it should be:
--- (2)
From (1):
Substituting this value of 
in (2) to get:
Finding by substituting the value of 
:
