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Nitella [24]
3 years ago
7

What is the quotient when x3 − 5x2 + 3x − 8 is divided by x − 3?

Mathematics
1 answer:
brilliants [131]3 years ago
6 0
X^3 - 5x^2 + 3x - 8/x - 3
Steps
First, divide x^3 - 5x^2 + 3x - 8/x - 3: x^3 - 5x^2 + 3x - 8/x - 3 = x^2 + -2x^2 + 3x -8/x - 3
= x^2 + -2x^2 + 3x - 8/x - 3
Second, divide -2x^2 + 3x - 8/x - 3: -2x^2 + 3x - 8/x - 3 = -2x + -3x - 8/x - 3
= x^2 - 2x + -3x - 8/x - 3
Third, divide -3x - 8/x - 3: -3x - 8/x - 3 = -3 + -17/x - 3
= x^2 - 2x - 3 + -17/x - 3
Lastly, simplify
= x^2 - 2x - 3 - 17/x - 3
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How do you simplify the fraction 18/72
Digiron [165]

Answer:

1/4

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator GCD of 18 and 72 is 18

Divide both the numerator and denominator by the GCD 18 ÷ 18 / 72 ÷ 18

Reduced fraction: 1 / 4 Therefore, 18/72 simplified to lowest terms is 1/4.

4 0
3 years ago
A rectangular tank is 100 cm long, 30 cm wide and 12 cm deep. What is the estimated capacity of the tank half full? Hint: 1000 c
Licemer1 [7]
To figure this out, you need to multiply all the dimensions together. 100x30=. 3,000cm and 3,000x12= 36,000 cubic centimeters. So now you can divide the 36,000 by 1000 to get the amount of liters the entire tank can hold. 36,000/1000= 36 liters. And because you want to know how much half of the tank is, you divide 36 by 2 and get 18 liters
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3 years ago
If p and q are nonzero integers, which pair of points must lie in the same quadrant?
Tems11 [23]
Hello there.
<span>
If p and q are nonzero integers, which pair of points must lie in the same quadrant?
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8 0
4 years ago
Read 2 more answers
Testy is making 3 hat and scarf sets. Each scarf requires 1 yards of material and each hat requires 24 inches
denpristay [2]

Answer:

34.5 feet of material for 3 hat and scarf sets.

Step-by-step explanation:

First, we need to convert all measurements to the same unit: foot. (Because the answer is requested in foot)

1 yard is equal to 3 feet, and 1 inch is equal to 0.08333 feet.

3 yards are equal to 9 feet, and 30 inches are equal to 2.5 feet.

We need 3 sets of hat and scarf, so this means that we need 3 hats and 3 scarfs.

One scarf needs 9 feet of material, so 3 scarfs need 27 feet.

One hat needs 2.5 feet of material, so 3 hats need 7.5 feet.

In total, 3 scarfs and 3 hats need 27+7.5=34.5 feet of material.

3 0
3 years ago
The perimeter of a triangle is 60 inches. If the sides of the triangle are 2x, 3x, and 5x, find the length of the shortest side.
Ira Lisetskai [31]
2x + 3x + 5x = 60
10x = 60
a = 6
Shortest side = 2x = 12 inches

6 0
4 years ago
Read 2 more answers
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