Harry’s claim is not true because there are 20 ounces in his water bottle and he needs to drink a total of 64 ounces of water. Harry only drank 60 ounces because he filled his water bottle 3 times and 20 times 3 equals 60, there fore he is 4 ounces short of his recommended water intake.
Answer:
2. Eunju is right
3. 
is a factor of 
.
Step-by-step explanation:
<u>Polynomial Remainder Theorem</u>
The polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).
As a consequence, if a polynomial is divisible by x-a, f(a)=0.
Part 1:
Let's make:
To find out if x+b is a factor of f(x), we find f(-b):
Operating:
The value of f(-b) is not zero. This means Eunju is right, x+b is not a factor of f(x).
Part 2:
We must find out if is a factor of without using long division or synthetic division.
We can use the polynomial remainder theorem again, but since the factor is not in the form (x-a), we can factor it as follows:
Now we just apply the theorem twice. If both remainders are zero, then the assumption is true.
Let's make:
Find f(-2):
Find f(-3):
Since both f(-2) and f(-3) are zero, is a factor of .
Answer: Choice C. g(x) = (3x)^2
To confirm this, plug in x = 1 and you'll find that:
g(x) = (3x)^2
g(1) = (3*1)^2
g(1) = (3)^2
g(1) = 3*3
g(1) = 9
Showing that (1,9) is on the red g(x) curve.
Answer:
The average rate of change is 1/4
Step-by-step explanation:
As you can see in the chart, for every four units rightward, the line goes up one unit. That means f(x) has an average rate of change of 1/4.
The answer is C because you can have a triangle with 5,9,n 5,10,n 9,10,n and 5,10,9
The reason why is because the sum of two sides is always larger than the value of the third side.
I hope that this helps.
