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Fiesta28 [93]
3 years ago
8

Simplify the expression below.

Mathematics
1 answer:
densk [106]3 years ago
4 0
We have:
 (2x ^ 3-12x ^ 2 + 10x-108) / x-6
 Dividing the expression between x-6 we have:
 quotient: 2x ^ 2 + 10
 remainder: - 48
 We can check the result then rewriting the expression:
 2x ^ 3-12x ^ 2 + 10x-108
 = (2x ^ 2 + 10) * (x-6) - 48
 = (2x ^ 3 + 10x - 12 x ^ 2 - 60) - 48
 = 2x ^ 3-12x ^ 2 + 10x-108
 Division OK.
 Answer:
 The result of the division is:
 quotient: 2x ^ 2 + 10
 remainder: - 48


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Ling worked three more hours on Tuesday than she did on Monday. On Wednesday, she worked one hour more than twice the number of
Nina [5.8K]

Let x be the number of hours ling work on monday.

We know that she worked three more hours on tuesday that in monday, this can be express as :

 x+3

We also know that in wednesday she worked on more hour than twice the number on mondays, this can be expressed as:

2x+1

The total number of hours she worked this three days in two more than five the number of hours she worked on monday, this can be express as :

5x+2\\

Now , once we have all the expressions we add the expressions of the days and equate them to the total

x+(x+3)+(2x+1)=5x+2

Now we solve the equation

x+(x+3)+(2x+1)=5x+2\\x+x+3+2x+1=5x+2\\4x+4=5x+2\\5x-4x=4-2\\x=2

Therefore , she worked 2 hours on monday.

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3 years ago
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What is the greatest common factor of 14x^5+6x^3
almond37 [142]
The final answer is 2x3
5 0
3 years ago
Please help me with this question!!!!!
Naddika [18.5K]

Answer:

7/25

Step-by-step explanation:

θ lies in quadrant ii

so 2θ lies in quadrant iv

csc θ=5/3

sin θ=3/5 (sin θ=1/csc θ)

[cos(α+β)=cosαcosβ-sinαsinβ]

cos (2θ)=cos(θ+θ)=cos θ cos θ-sin θ sin θ=cos² θ-sin ²θ=1-sin²θ-sin²θ=1-2sin²θ

=1-2 (3/5)²

=1-2(9/25)

=1-18/25

=(25-18)/25

=7/25

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According to a label there are 25 cals per serving of turkey lunch meat. How many cals are there in 2.5 servings?
Marina86 [1]

Answer:

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3 years ago
Omani drives 66 miles in 1.5 hours
Burka [1]

Answer:

25.6 km/h

Step-by-step explanation:

Omani:

First, 1.5 hours = 1 hour and 30 minutes

and 66 miles = 105.6 km (66 x 1.6 = 105.6)

105.6 / 1.5 = 70.4 km/h

Omani's speed is 70.4 km/h

Adedi:

1 hour and 15 minutes is 1.25 hours

she drives 56 km in 1.25 hours

So 56 / 1.25 = 44.8 km/h

Adedi's speed is 44.8 km/h

Difference:

70.4 - 44.8 = 25.6 km/h

Omani is faster than Adedi with 25.6 km/h

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3 years ago
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