The volume of the shipping box needs to be 1,144 cubic inches. The equation that models the volume of the shipping box is 8(n +
2)(n + 4) = 1,144.
Answer the following questions about the equation modeling the volume of the shipping box.
Question 1
Solve the equation that models the volume of the shipping box, 8(n + 2)(n + 4) = 1,144. If you get two solutions, are they both reasonable?
2 answers:
Answer:
see below
Step-by-step explanation:
8(n + 2)(n + 4) = 1,144
FOIL
8(n^2 +2n+4n+8) = 1144
Divide each side by 8
8/8(n^2 +2n+4n+8) = 1144/8
(n^2 +2n+4n+8) = 143
Combine like terms
n^2 +6n+8 = 143
Subtract 143 from each side
n^2 +6n+8 -143= 0
Combine like terms
n^2 +6n -135 =0
Factor
What two terms multiply to -135 and add to 6
-9*15 =-135
-9+15 = 6
(n-9) (n+15) =0
Using the zero product property
n-9 =0 n+15=0
n = 9 n=-15
The length cannot be negative so n = -15 cannot be a solution
n =9
Answer:
n = 9
Step-by-step explanation:
8(n + 2)(n + 4) = 1,144
(n + 2)(n + 4) = 143
n² + 2n + 4n + 8 = 143
n² + 6n - 135 = 0
n² + 15n - 9n - 135 = 0
n(n + 15) - 9(n + 15) = 0
(n - 9)(n + 15) = 0
n = 9, -15
since n is a length, it can not be negative
Therefore the only solution is n = 9
You might be interested in
Answer:
12
Step-by-step explanation:
60 divided by 5 is 12, so Bobby jo would give her teachers 48 and 12 to her family
Answer:
D
Step-by-step explanation:
Product means multiplication. Since we are multiplying 6s to (-2s²+4s-10), we will use the distributive property to solve.
6s(-2s² + 4s - 10)
-12s³ + 24² - 60
Best of Luck!
Let the number be x
Form the equation : 5x + 1 ≤ 10
5x ≤ 10-1
5x ≤ 9
X ≤ 9/5
so X can be 9/5 or any values smaller than that.
hope this helps :)
Answer:
500,000km
Step-by-step explanation:
Scale: 1cm:50000km
10 cm = 50000*10km
10 cm = 500000km
Answer:
60 days
Step-by-step explanation:
L.C.M. of 6,4,10=60
as 6=2×3
4=2×2
10=2×5
L.C.M. =2×3×2×5=60
after 60 days they will again together.