F(x) = -3(x + 2)(x - 5)^3 > 0
(x + 2)(x - 5) > 0
x + 2 > 0 or x - 5 < 0
x > -2 or x < 5
-2 < x < 5
Therefore, the stated interval is false.
Answer:
A
B
C
Step-by-step explanation:
Well the sides of the smaller squares have to be greater than the biggest when put together.
a + b > c
So we need to find the square root of 55.
≅ <u>7.4</u>
<u />
Now for option A)
srt ⇒ 12 ≅3.5
srt ⇒ 43 ≅ 6.6
3.5 + 6.6 = <u>10.1</u>
So option A is correct.
Option B)
srt ⇒ 14 ≅ 3.7
srt ⇒ 40 ≅ 6.3
3.7 + 6.3 = <u>10</u>
So option B is also correct.
Option C)
srt ⇒ 16 = 4
srt ⇒ 37 ≅ 6.1
4 + 6.1 = <u>10.1</u>
So option C is also correct.
<em>Therefore,</em>
<em>all options are correct.</em>
<em />
<em>Hope this helps :)</em>
Answer:
90 degrees
Step-by-step explanation:
its a 90 degrees angle unlike angle EFC. I hope that helps.
Happy holidays to you too!
Answer:
~109.3
Step-by-step explanation:
23 x 9.5 x 1/2 =
218.5 x 1/2 = 109.25
That rounds to 109.3 square yards
Hope that helps!
Answer:
Consider lining up all the blue marbles and placing one red marble in between them. Let that arrangement be fixed. The remaining red marbles will be 5 red marbles. Note that the arrangement will be:
x BR x BR x BR x BR x BR x BR x BR x B x
Note that this is the same even if our arrangement is
x B x RB x RB x RB x RB x RB x RB x RB x
Note that there are 9 spots, denoted by x, where we can put the 5 remaining red marbles. To find the number of ways of putting the remaining 5 red marbles to x, it is similar in finding the number of non-negative solution for the equation
which is given by
= 1287
Hence, there are 1287 ways of arranging 8 blue marbles and 12 red marbles without placing 2 blue marbles next to each other.