Let's try to simplify x^2 + 16. It's a sum of two squares:
x^2 + 16 = 0
x^2 = -16
The problem is, we can't take a square root of a negative. This is where imaginary numbers come in.
Remember that square roots have a plus or minus symbol outside:
±√-16 = ±4i
Our two roots are 4i and -4i. Therefore, the trinomial simplifies to:
(x + 4i)(x - 4i)
If we attempt to divide x + 4 by these two binomials, we will find that 4 and 4i are not like terms. Therefore, we can't simplify this expression.
Answer:
150(10s + h)
Step-by-step explanation:
We need to write an expression for the total items they shipped.
Let each skateboard be s.
Let each helmets be h.
The factory ships 100 boxes with 15 skateboards in each box. That is:
100 * (15 * s) = 1500s
The factory ships 10 boxes with 15 helmets in each box. That is:
10 * (15 * h) = 150h
The total number of items shipped is therefore:
1500s + 150h = 150(10s + h)
This expression represents the total number of items shipped.
500,000,000,000 in scientific notation:
First you count to 0 zeros behind the 5 which is 11 zeros.
the scientific notation of 500,000,000,000 is:
₁₁
Answer: 5 x 10
I hop this helps :)
Answer:
start by checking that it's a linear relationship that's occurring by having a look at the difference in our X in each step against the difference in our Y in each step.
Step-by-step explanation:
The customer will pay $3.57 for the greeting card
Explanation:
The card originally costs $4 before tax and is discounted by 15%
0.15 x 4 = 0.6
4 - 0.6 = 3.4
Then the 5% sales tax is added:
0.05 x 3.4 = 0.17
3.4 + 0.17 = 3.57