Answer: 7 3/4
Step-by-step explanation:
From the question, we are informed that Steven has 10 1/4 pages of homework and that he finishes 2 1/2 pages every ten minutes.
The number of pages that Steven will have left after 10 minutes will be:
= 10 1/4 - 2 1/2
= 7 3/4
He'll have 7 3/4 pages left
Answer:
-9.3
-7.2
2.05
2.3
4.06
4.32
4.35
21.3
Step-by-step explanation:
negatives go 1st. the bigger the number would be positive means its a smaller negative. then you just order the positive numbers least to greatest
First, we use the rational root theorem to determine any solutions of p(x). <span>= x3 + 4x2 + x − 6</span>
Factoring -6:
1
-1
2
-2
3
-3
6
-6
<span>x = 1 </span>
<span>p(1) = 1^3 + 4 * 1^2 + 1 - 6 = 6 - 6 = 0 </span>
<span>x = 1 is a solution. </span>
(x^3 + 4x^2 + x - 6) / (x - 1) =
x^3 / x = x^2
x^2 * (x - 1) = x^3 - x^2
x^3 + 4x^2 - x^3 + x^2 = 5x^2
5x^2 / x = 5x
5x * (x - 1) = 5x^2 - 5x
5x^2 + x - 5x^2 + 5x = 6x
6x / x = 6
6 * (x - 1) = 6x - 6
6x - 6 - 6x + 6 = 0
<span>(x - 1) * (x^2 + 5x + 6) </span>
x^2 + 5x + 6 factors to (x + 3) * (x + 2)
Factors:
<span>(x - 1) </span>
<span>(x + 2) </span>
<span>(x + 3) </span>
<span>roots: </span>
<span>x = 1 </span>
<span>x = -2 </span>
<span>x = -3</span>
Answer:
64 ft
Step-by-step explanation:
The shadow of the post is 12 feet long. The shadow of the flagpole is 96 feet long.
The shadow of the flagpole is 8 times longer than the shadow of the post.
8 x 8 = 64
Answer:
78.5%
Step-by-step explanation:
You take the area of the circle which is pie*r^2
and divide it by the area of the square