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Tpy6a [65]
3 years ago
5

Factorize: x3–23x2+ 142 x -120

Mathematics
1 answer:
ivanzaharov [21]3 years ago
6 0

Step-by-step explanation:

x³ - 23x² + 142x - 120

x³ - x² - 22x² + 22x + 120x - 120

x²(x - 1) - 22x(x - 1) + 120(x - 1)

(x - 1)(x² - 22x + 120)

(x - 1)(x² - 10x - 12x + 120)

(x - 1)[x(x - 10) - 12(x - 10)]

(x - 1) (x - 10) (x - 12)

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Annita, Gary, and Tara all run races. Annita has 7 less than 4 times the number of race medals as Tara. Gary has 13 more than 2
harkovskaia [24]

Answer:

4 t - 7  = 2 t+ 13  is the required equation.

The number of race medals Tara has is t = 20 medals.

Step-by-step explanation:

Let the number of medals Tara has = t medals

So, the number of medal Anita has  = 4( Medals of Tara) - 7

= 4t - 7

And the number of medals Gary has = 2 times (Medals of Tara) + 13

= 2(t)  + 13  = 2t + 13

Now, Annita and Gary has same number of medals.

⇒  4t - 7  = 2t+ 13

or, 4t - 2t  = 7 + 13

⇒ 2t  = 20

⇒ t = 20/2 = 10

or t = 10

Hence, the number of race medals Tara has is t = 20 medals

6 0
3 years ago
3x(x²-5) what's the product​
fenix001 [56]

3x(x²-5)

Multiply the bracket by 3x

(3x)(x^2)=3x^3

(3x)(-5)=15x

Answer: 3x^3+15x

3 0
3 years ago
Read 2 more answers
Multiply 4 and 7. Then, divide by q.
Makovka662 [10]

Answer:

28/q

Step-by-step explanation:

4 times 7 equals 28 and then divide 28 by q

5 0
3 years ago
What is the length of the arch CH
Yakvenalex [24]

Answer:

147°

Step-by-step explanation:

The measure of arc CH is equal to the central angle it sees

the angles arc AH sees are BAC and CAH so the length of arc AH would be the sum of these two angles

90° + 57° = 147°

3 0
3 years ago
Please help me out!!!!
svetoff [14.1K]

Answer:

b= 70

Step-by-step explanation:

The sum of the opposite interior angles of a triangle is equal to exterior angle.

a+b = 140

We know that a = b since PQ = RQ  The angles opposite the equal sides in an isosceles triangle are equal

b+b = 140

2b =140

Divide by 2

2b/2 =140/2

b= 70


6 0
3 years ago
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