The last graph is the answer
6x
42/6 = 7 (valid), 18/6 = 3 (valid), 12/6 = 2 (valid)
7, 8, 9, 10, and 11 are all not divisible by 12, and 12 is not divisible by 18, so 6 is the highest number.
Also, each number has at least one x, so you can take one out.
Remaining=
6x (7 + 3x^2 + 2x^3)
The formula for the sum of n terms in an arithmetic progression is:
S = n/2 * (2a + (n-1)d)
Here, the common difference, d, is 8 and the first term, a, is 1. Substituting these into the formula, we get:
S = n/2 * (2*1 + 8(n - 1))
S = n + 4n² - 4n
S = 4n² - 3n
The answer is A.
Answer:
A. =4x3+9x2−25x+12
Step-by-step explanation:
(x+4)(4x−3)(x−1)
=((x+4)(4x−3))(x+−1)
=((x+4)(4x−3))(x)+((x+4)(4x−3))(−1)
=4x3+13x2−12x−4x2−13x+12
=4x3+9x2−25x+12
Answer:
The width must be greater than 3 meters.
Step-by-step explanation:
Let w represent the width. Then 5w will represent the length, which is 5 times the width. The perimeter is the total of the side lengths of the rectangle, so is ...
P = 2w + 2(5w) = 12w
We want this to be greater than 36 m, so ...
P > 36 m
12w > 36 m . . . . . . . substitute our expression for P
w > 3 m . . . . . . . . . . divide by 12
The possible values for width are those values that are more than 3 meters.
