Answer:

Step-by-step explanation:
Rationalize the denominator first (keep in mind we are NOT solving this because there is no equals sign here. We are merely simplifying.)

Now simplify by taking the square root of 100 to get:

Divide numerator and denomiator by 10 to get:

Answer:
a = 2, b = - 5
Step-by-step explanation:
Given
y = ax² + bx
is the measure of the slope at x = a
Differentiate each term with respect to x using the power rule
(a
) = na
= 2ax + b, hence
2ax + b = 3 at (2, - 2)
Substitute x = 2 into
4a + b = 3 → (1) and substitute x = 2 into y
4a + 2b = - 2 → (2)
Subtract ( 1) from (2)
b = - 2 - 3 = - 5
Substitute b = - 5 into (1)
4a - 5 = 3 ( add 5 to both sides )
4a = 8 ( divide both sides by 4 )
a = 2
Answer:
A and D. She can make 32 servings in total.
Step-by-step explanation:
This is because if she were to mix up all of the products, she would have 16 pounds of mix in total.
5 1/8 + 4 7/8 + 6 = 16
This is choice A.
Then she must divide this by 1/2 because each serving is 1/2 pound.
16 ÷ 1/2 = 32
That is choice D.
If I am rolling a single dice what is the probability of rolling a number that is divisible by 2 and 3? The only number divisible by 2 and 3 is 6. So, would the answer be 1 out 6 or 1/6