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Lera25 [3.4K]
3 years ago
9

Divide (x^3+2x-6x-9) by (x+3)

Mathematics
1 answer:
GenaCL600 [577]3 years ago
7 0

Answer:

x² - 3x + 5 - [24÷(x+3)]

Step-by-step explanation:

1. Expand (x³ + 2x - 6x - 9)

            = x³ - 4x - 9

2. Divide [x³ - 4x - 9 by x+3]

            = x² + [(-3x^2-4x-9) ÷ (x+3)]

3. Divide [(-3x^2-4x-9) by (x+3)]

            = -3x + [(5x-9) ÷ (x+3)]

x² - 3x + [(5x-9) ÷ (x+3)]

4. Divide [(5x-9) ÷ (x+3)]

            = 5 + [(-24) ÷ (x+3)]

x² - 3x + 5 + [(-24) ÷ (x+3)]

= x² - 3x + 5 - [24 ÷ (x+3)]

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A fruit punch recipe requires 2 quarts pf orange juice to be mixed for every 5 quarts of apple juice. Max has 9 quarts of orange
Marrrta [24]

Answer:

22.5 quarts

Step-by-step explanation:

Let us find the ratio of orange juice to apple juice. The punch requires 2 quarts of orange juice mixed with 5 quarts of apple juice.

The ratio of orange juice to apple juice is therefore:

2 : 5 or 2/5

Max has 9 quarts of orange juice. By comparing with the ratio, this implies that:

2 / 5 = 9 / x

x = (9 * 5) / 2 = 22.5 quarts

He will need 22.5 quarts of apple juice.

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3 years ago
Which equation does NOT represent a proportional relationship between two variables with the constant of proportinality of? 1/2
Dimas [21]

Answer:

(D) y=x+\frac{1}{2}

Step-by-step explanation:

Two variables x and y are proportionally related  if they can be written in the form y=kx, where k is the constant of proportionality.

From the given options, if k=\frac{1}{2}

(B)y=\frac{1}{2}x is of the form y=kx

(C)y=\frac{3}{6}x is of the form y=kx with k=\frac{1}{2} as \frac{3}{6}=\frac{1}{2} in its lowest form.

(C)y=0.5x is of the form y=kx with k=\frac{1}{2} as 0.5=\frac{1}{2} in fractional form.

On the Contrary,

In Option D, y=x+\frac{1}{2} does not represent a proportional relationship between x and y. The constant of proportion is supposed to be a product of x.

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4 years ago
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Yuki888 [10]

Answer:

The answer to this is true because they are open at the same angle

5 0
3 years ago
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nikdorinn [45]
$25 x 14 (students)= $350

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3 years ago
Please help.
natka813 [3]

Answer:

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you have vertical angles alternate interior, alternate exterior

Step-by-step explanation:

Vertical Angles: a pair of opposite congruent non-adjacent angles formed by intersecting lines; share a vertex

Alternate Interior: when a transversal intersects two lines, alternate interior angles are on opposite sides of the transversal and on the inside of the given lines

Alternate Exterior: when a transversal intersects two lines, alternate exterior angles are on opposite sides of the transversal and on the outside of the given lines  They are congruent.

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