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Tanya [424]
3 years ago
12

Please help me i need the answer right now. The lesson is Rational Root Theorem.

Mathematics
1 answer:
Debora [2.8K]3 years ago
6 0

Step-by-step explanation:

1. The length is one more thrice it's width. The height is 4 more than it width. We can represent the

  • x+4.(3x+1)(x)
  • The volume is 720.
  • Volume of Rectangular prism is LxWXH. So the volume is equal to the terms all multiplied. which is

(3x + 1)(x + 4)

(3 {x}^{2}  + 13x + 4)x = 720

Multiply it by x.

3 {x}^{3}  + 13 {x}^{2}  + 4x = 720

3{x}^{3}  + 13 {x}^{2}  + 4 x - 720

The possible roots

The possible roots are plus or minus is1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, and 720. By a long list of substitution, 5 is a root. So this means that x=5. So the width has to be

x = 5

2. First. we apply the Rational Root Theorem so the possible roots are plus or minus 1,2,3,6.

Let check via synethic division to see which are roots.

Let try 1 and -1 first. If we plug 1 into the equation, we get

1 - 2 - 5 + 6 = 0

So 1 or (x-1) is a solution. Since it's a solution we can divide this into our original polynomial to get us a new polynomial that is more simplified. If we apply synthetic division, we get a new polynomial in

{x}^{2}  - x - 6

We can then factor this into

(x - 3)(x + 2)

So our roots or factors is

(x - 1)(x - 3)(x + 2)

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oksano4ka [1.4K]

Answer:

"an actor will be paid more"

Step-by-step explanation:

In an "if ... then ..." statement, the "then ..." clause is the conclusion. This statement is ...

... If he wins an Oscar, then an actor will be paid more.

So, the conclusion is "an actor will be paid more."

3 0
2 years ago
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Hunter-Best [27]

Answer:

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8 0
3 years ago
What is equivalent to 1/40
Nimfa-mama [501]
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5 0
2 years ago
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leva [86]

The best estimate for this correlation would be B) 0.9.

We can see that the number is constantly going up, which would throw out the D answer.

We can also see that for every time the x goes up 1, the y goes up a little less than one. We can see that in the ordered pairs that exist on the graph such as (3, 2), (8, 6) and (2.1, 1.9).

Since the y values are just lower than the x, the correlation would be just under one. Therefore, 0.9 is an accurate estimation.

7 0
3 years ago
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Help me yall this for me aint it.
aleksandrvk [35]

Answer:

20(4 + 5)

Step-by-step explanation:

GCF is just the biggest number each value can be divided by. Here, it's 20, so that goes outside of the parenthesis. Now, what can you multiply by 20 to get 80? 4, so that goes in the second box. What can you multiply by 20 to get 100? 5, so that goes in the last box. You can check your answer by doing 80 + 100 = 180; 20(9) = 180.

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