Answer:
69544.75
Step-by-step explanation:
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Answer: (A)
Packing material is required to fill the box = 
Step-by-step explanation:
The box is shaped like a rectangular prism
base area = 9/10 square foot
height = 1/3 foot
Volume of a prism = base area X Height
=
Answer:
-0.55n - 0.05
Step-by-step explanation:
You can start by distributing:
(0.25n - 0.3) - (0.8n - 0.25)
0.25n - 0.3 - 0.8n + 0.25
Then, you can combine like terms(0.25n & -0.8n; -0.3 & 0.25)
-0.55n - 0.05
Answer:
(1,0)
(-2,3)
(5,24)
Step-by-step explanation:
To solve this you can can just plug in the x and y values and see which work
y = x²-1
Lets test (0,1):
1 = 0²-1
1 = -1
This pair <em>does not</em> work, because 1 does not equal -1
Lets test (1,0):
0 = 1²-1
0 = 0
This <em>does</em> work, because 0 equals 0
Lets test (3,5):
5 = 3²-1
5 = 9 - 1
5 = 8
This pair <em>does not</em> work, because 5 does not equal 8
Lets test (5,24):
24 = 5²-1
24 = 25 -1
24 = 24
This pair <em>does</em> work, because 24 equals 24
Lets test (-2,3):
3 = (-2)²-1
3 = 4-1
3 = 3
This pair <em>does</em> work, because 3 equals 3
Lets test (-4,-17):
-17 = (-4)²-1
-17 = 16 - 1
-17 = 15
This pair <em>does not</em> work, because -17 does not equal 15
So the pairs that are on the graph are:
(1,0)
(-2,3)
(5,24)
The expression for the height is (3k - 5)
Factorise the equation 6k^2 - 13k + 5
One is given : (2k-1). When factorising, you must make sure that you are obtaining the given equation.
Here, to get 6k^2, 2k is multiplied with 3k. The other factor is (3k-x)
Now, let's find x. From the factors (2k-1) (3k-x) how to obtain 13k?? Simple...
3k×-1 + 2k×x = 13k
-3k + 2kx = 13k
-3k + 2k(-5) = -3k + -10k = 13k
So the other expression is (3k-5) which is the height.