Answer:
27.69
Step-by-step explanation:
<h3>
Answer: 2x(x^2-2)(x+1)</h3>
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Explanation:
First factor out the GCF 2x
2x^4+2x^3-4x^2-4x
2x*x^3+2x*x^2-2x*2x-2x*2
2x(x^3 + x^2 - 2x - 2)
Then let's factor the expression inside the parenthesis using the factor by grouping method
x^3 + x^2 - 2x - 2
(x^3 + x^2) + (- 2x - 2)
x^2(x + 1) - 2(x + 1)
(x^2 - 2)(x+1)
We see that x^3 + x^2 - 2x - 2 factors to (x^2-2)(x+1)
Overall, the original expression fully factors to 2x(x^2-2)(x+1)
length = 2x
width = x^2-2
height = x+1
The order of length, width, and height doesn't matter.
Answer:
y= 288x + 7.99
Step-by-step explanation:
# of tickets : x
y = 289x + 7.99
⬇️ _________ put in y = mx + b
y = 289(6) + 7.99
⬇️ _________ plug in
y = 1734 + 7.99
⬇️ _________ Add
y = 1741.99
HOPE THIS HELPS! (:
Answer:
Step-by-step explanation:
We are told that the area of the bag can be represented by the function 
and as the bag is raised up its height can be represented by the function 
.
Since we know that we can find volume of cuboid by multiplying base area to its height. We are given area and height of bag as functions. Now we will find volume of the bag by multiplying these functions.
After using distributive property we will get,
Therefore, the collapsible bag can hold grain.
Answer:
x = 11
y = 17
Step-by-step explanation:
We know that opposite angles (or vertical angles) are equal.
So
8x + 7 = 9x - 4
Subtract 8x from both sides of the equation
8x - 8x + 7 = 9x - 8x - 4
7 = x - 4
Add 4 to both sides of the equation
7 + 4 = x - 4 + 4
11 = x
Looking at the other 2 angles,
5y = 7y - 34
Subtract 7 y from both sides of the equation
5y - 7y = 7y - 7y - 34
-2y = -34
Divide both sides by -2
-2y/-2 = -34/-2
y = 17
