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Feliz [49]
2 years ago
5

Which expression is equivalent to x³ - x² - 14x + 24?

Mathematics
1 answer:
serg [7]2 years ago
3 0

Answer:

<h3>A. ( x - 2 )( x - 3 )(x + 4 )</h3>

<h3>Step-by-step explanation:</h3>

<h3>x³ - x² - 14x + 24</h3>

<h3>1. Use the rational root theorem</h3>

= (x  - 2) \frac{x ^{3}  -x^{2}  - 14x + 24}{x - 2}

<h3>2. \frac{  {x}^{3} - {x}^{2}  - 14x + 24 }{x - 2}  =  {x}^{2}  + x - 12</h3><h3 />

= ( x - 2 )( x² + x - 12 )

<h3>3. Factor x² + x - 12 : ( x -3 )( x + 4)</h3>

= ( x - 2 )( x - 3 )(x + 4 )

<h3>Solution : </h3>

<h3>= ( x - 2 )( x - 3 )(x + 4 )</h3>
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Consider the data set on the number line. Determine the interquartile range. A) 7 B) 5.5 C) −2 D) −9
S_A_V [24]

Answer:

B) 5.5

Step-by-step explanation:

7 0
3 years ago
Two lines have the given equations. Use the LINEAR COMBINATION METHOD to solve.
Maurinko [17]

Using linear combination method, the solution to given system of equations are (-7, -15)

<h3><u>Solution:</u></h3>

Linear combination is the process of adding two algebraic equations so that one of the variables is eliminated

Addition is used when the two equations have terms that are exact opposites, and subtraction is used when the two equations have terms that are the same.

<u><em>Given system of equations are:</em></u>

2x - y = 1  ---- eqn 1

3x - y = -6 ------ eqn 2

Subtract eqn 2 from eqn 1

2x - y = 1

3x - y = -6

(-) -------------

-x = 7

<h3>x = -7</h3>

Substitute x = -7 in eqn 1

2(-7) - y = 1

-14 - y = 1

y = -14 - 1 = -15

<h3>y = -15</h3>

Thus the solution to given system of equations are (-7, -15)

8 0
3 years ago
What’s the correct answer for this ?<br> The traffic light is approximately _____ feet tall
wlad13 [49]

Answer:

Height = 21.78 ft

Step-by-step explanation:

Tan θ = opposite / Adjacent

tan 40 = opposite / 20

where opposite is the part of the traffic light

0.839 × 20 = opposite

opposite = 16.78 ft

Now the total height of traffic light = 16.78 ft +5 ft

Total Height = 21.78 ft

8 0
3 years ago
Whats the area?Answer this ASAP plz
DochEvi [55]

Answer:

that is the solution to the question

7 0
4 years ago
Read 2 more answers
Solve the equation. Explain each step and identify the property used to reach each step.
Tom [10]

To isolate x, we will first subtract 0.8 from both sides.

0.6x + 0.8 = 1.4

-0.8 -0.8

0.6x = 0.6

Now all we have to do is divide both sides by 0.6, because it is the number besides x.

0.6x/0.6 = 0.6/0.6

x = 1

So you get the answer of x = 1.

7 0
3 years ago
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