13 units from 20 could either be 33 or 7; 15 units from -8 could either be 7 or 23.Since 7 satisfy both of the above requirements, Sarah's favorite number is 7. (You could show your work using a number line)
The two possibilities of Neil's favorite number are 26 and -12.
9514 1404 393
Answer:
A. 2x^2 +4
B. 5x^3 -4x^2 +3x -12
C. addition and subtraction of polynomials result in polynomials (closed)
Step-by-step explanation:
A. The total of the two side lengths is ...
(3x^2 -4x -1) +(-x^2 +4x +5) = (3 -1)x^2 +(-4+4)x +(-1+5) = 2x^2 +4
__
B. The length of the third side is the difference between the total for all three sides and the total for the given two sides:
(5x^3 -2x^2 +3x -8) - (2x^2 +4) = 5x^3 +(-2-2)x^2 +3x +(-8-4)
= 5x^3 -4x^2 +3x -12
__
C. Addition of the two polynomials results in a polynomial. Subtraction of the two polynomials results in a polynomial. There is nothing here to indicate the set of polynomials is not closed under addition and subtraction.
Answer:
Step-by-step explanation:
First, we convert:
- ounces to cups
- weeks to hours
Result of conversion:
- 91 fluid ounces = 11.375 cups (1 cup = 8 ounces)
- 2.5 weeks = 420 hours (1 week = 168 hours)
To get the rate, we must divide the number of cups by number of hours
11.375 cups / 420 hours = 0.027 cups per hour = 0.03 cups per hour (approximated)
Hope that helps!
Answer:
Step-by-step explanation:
is the given.
The instructions is to write as a single logarithm.
Let's use the power rule first:
Now we see the minus between the natural logs so we can use the quotient rule:
Is this what you need 4x/ [5-(2x/3)] ?
If yes, then 4x/[(15-2x)/3] = 4x•3/(15-2x) = 12x/(-2x+15)
