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Salsk061 [2.6K]
3 years ago
7

What is the factored form of x^3 - x^2 - 24x - 36 If (x+3) is a factor?

Mathematics
2 answers:
antoniya [11.8K]3 years ago
6 0

Answer:

(x + 2)(x + 3)(x - 6)

Step-by-step explanation:

dividing x³ - x² - 24x - 36 by (x + 3) gives

x³ - x² - 24x - 36 = (x + 3)(x² - 4x - 12) = (x + 3)(x + 2)(x - 6)


MAXImum [283]3 years ago
6 0

Answer:

(x + 2)(x + 3)(x - 6)

Step-by-step explanation:

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Given: r || s and q is a transversal
shutvik [7]

Answer:

Given: r || s and q is a transversal.

Alternative Interior Angle states that  a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal are equal.

By alternative interior angle;

\angle 3 \cong \angle 6

Definition of Congruent angles are angles that have the same degree of measurement.

Therefore, m\angle 3 = m\angle 6    [By definition of Congruent]  .....[1]

Linear Pair states that a pair of adjacent angles formed when two lines are intersect.

therefore, \angle 4 and \angle 3 are a linear pair.   [by definition of linear pair]

Two angles of linear pairs are always supplementary , which means their measure are add up to 180 degree.

By the definition of supplementary angles, m\angle 4 + m\angle 3 = 180^{\circ}                 .....[2]

Substitute equation [1] in [2] we get,

m\angle 4 +m\angle 6 =180^{\circ}

By the definition of supplementary angles,

\angle 4 is supplementary to \angle 6   Hence proved!


8 0
4 years ago
Read 2 more answers
Tom has a part-time job. On Wednesday, Tom earned $20.50, and on Thursday he earned $36.21. On Friday, Tom earned twice as much
zvonat [6]
20.50+36.21=56.57
Twice can be said as x2 so
20.50 x2=41
Leaving 56.57 and 41
56.67+41=91.67
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3 years ago
I really really need help with this..
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I feel really bad because this is hard and no one is helping you so try using this website it is called wolfram alpha and if you can't find help on that website just ask your teacher for help. I'm sorry I feel bad for you!
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3 years ago
10/21 + ( 2/3 - 1/7 ) =
Marizza181 [45]
Simplify 2/3 - 1/7 to 11/21
10/21 + 11/21
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3 years ago
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Dave has $3000 more in a passbook account than in a money market.
Goryan [66]

The amount in the passbook account is $11,000 and the money in the money market account is $8000

Let:

a represent the unknown amount in the passbook account

b represent the unknown amount in the money market account

From the question, the following information can be gathered:

  • The money in the passbook account exceeds the amount in the money market account.

This information can be represented with this equation : a - b = 3000

  • The interest paid on the passbook account exceeds the interest paid on the money market account.

This information can be represented with this equation : 0.08a - 0.10b = 80

The two equations gotten above would be solved using simultaneous equation and the elimination method

a - b = 3000 equation 1

0.08a - 0.10b = 80 equation 2

Multiply equation 1 by 0.08

0.08 - 0.08b = 240 equation 3

Subtract equation 2 from 3

0.02b = 160

Divide both sides of the equation by 0.02

b = 8000

Substitute for b in equation 1

a - 8000 = 3000

Add 8000 to both sides

a = 11,000

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults

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2 years ago
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