2400 divided by 44% which is 1056.
(sneaky way to put history in math, btw...)
For easier comparison, convert all amounts to grams:
30 oz * 28.3 grams = 849 grams
1.6 lb * (16 oz/1lb) * (28.3 grams) = 724.48 grams
800 grams
Comparing the three quantities, the highest is 30 oz (849 grams); next is 800 grams, then 1.6 lb (724.48 grams)
Answer:
Step-by-step explanation:
We want to write the equation of a line that passes through (5, 6) and (-1, 4).
First, let's find our slope. We can use the slope formula:
Let's let (5, 6) be (x₁, y₁) and let's let (-1, 4) be (x₂, y₂). So, our slope is:
Subtract:
Reduce:
So, our slope is 1/3.
Now, we can use the point-slope form, which is:
For consistency, let's let (5, 6) be (x₁, y₁). We will also substitute 1/3 for m. So:
Distribute:
Add 6 to both sides:
Add:
And we're done!
Answer:
- 8 or A
Step-by-step explanation:
Problem 1
First of all, you could write f(x) in terms of its x intercepts.
x = - 2
x + 2 = 0
x= 1
x - 1 = 0
x = 4
x - 4 = 0
So f(x) = (x - 4)(x - 1)(x + 2)
The division to find the remainder can be done expanding this further and doing a synthetic division on it, but the easier way is just to put 2 in for x. That is because x - 2 is turned into 0 by making x = 2
f(2) = (2 - 4)(2 - 1)(2 + 2)
f(2) = (-2)(1)(4)
f(2) = - 8
=====================
The expanded form of this question is f(x) = x^3 - 3x^2 - 6x + 8
You could do this with synthetic division. It will give you the same answer.
2 || 1 -3 -6 8
2 -2 -16
=========================
1 -1 -8 -8
The remainder is -8
Answer: A
which gives you exactly the same answer. (x - 2) into x^3 - x^2 - 16x + 16 will leave a remainder of - 12
Problem 2
Answer:
C.
Step-by-step explanation:
0.00000628
0000006.28×10^-6
