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3 years ago

Which expressions represents the simplified version of the following expression?

Mathematics

1 answer:

elixir [45]3 years ago

8 0

Answer:

7x³y² - 3x²y² + xy - 5

Step-by-step explanation:

Add like terms.

5x³y² + 2x³y² = 7x³y²

-3x²y² = -3x²y²

-3xy + 4xy = xy

2 - 7 = -5

Put them all together.

7x³y² - 3x²y² + xy - 5

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The base of a triangle is given as 2b. The height of the triangle is given as 5b-7. Find an expressions for the area of the tria

Tcecarenko [31]

Answer:

Step-by-step explanation:

Area = 1/2 * 2b * (5b - 7)

Area = 1/2 * 2b * (5b - 7) = 24

b * (5b - 7) = 24

5b^2 - 7b = 24

5b^2 - 7b - 24= 0

(b- 3 )(5b + 8) = 0

b = 3 This the only solution that works. b can't be minus

The base is 2b or 2 * 3 = 6

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3 years ago

A rectangle has an area of 900square inches. The length of the rectangle is 2.25 times the width.Find the dimensions

Alexeev081 [22]

Answer:

Length = 45 inches and Width = 20 inches

Step-by-step explanation:

Let the width be w.

Length(l)=2.25w

Area = 900 in^2

The formula for the area of a rectangle is Area = length * width

So substituting our values we get:

$A=2.25w*w\\900=2.25w*w\\2.25w^2=900\\w^2=\frac{900}{2.25} \\w^2=400\\w=\sqrt{400} \\w=20$

So we get width = 20 inches

Length = 2.25w

so Length= 2.25*20

=45 inches

3 0

3 years ago

What common Denominator is for 18/24

DENIUS [597]

The common denominator for 18/24 is 24

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3 years ago

In a health club, research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard dev

Naya [18.7K]

Answer: d) 0.31

Step-by-step explanation:

Given : In a health club, research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard deviation of 5.4 minutes.

i.e. $\mu=42.5$ and $\sigma= 5.4$

It is assumed that this is a normally distributed variable.

Let x denotes the time spend by a person on treadmill.

Then, the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill.

$P(30$

Hence, the required probability = 0.31

Thus , the correct answer = d) 0.31

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3 years ago

F(x)=(4t^2-t) (t^3-8t^2+12) in product rule.<br>

gavmur [86]

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2 years ago

Which expressions represents the simplified version of the following expression? ​

Which expressions represents the simplified version of the following expression?