3 years ago

Match the expression with its factored form. 3x + 9

Mathematics

1 answer:

pogonyaev3 years ago

3 0

Answer:

3(x +3)

Step-by-step explanation:

factored by grouping

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The volume of a rectangular prism is 6x3 + 25x2 + 21x − 10. The length of the prism is 2x + 5. The width of the prism is 3x − 1.

aev [14]

Expression for the height of the prism is x + 2

Solution:

Given that,

$Volume\ of\ a\ rectangular\ prism = 6x^3+25x^2 + 21x - 10$

$Length\ of\ prism = 2x + 5$

$Width\ of\ prism = 3x-1$

To find: height of prism

The volume of rectangular prism is given by formula:

$Volume = length \times width \times height$

Solving for height we get,

$height = \frac{volume}{length \times width}$

Substituting the values we get,

$height = \frac{6x^3+25x^2+21x-10}{(2x+5)(3x-1)}$

Factor the numerator

$height = \frac{(x+2)(3x-1)(2x+5)}{(2x+5)(3x-1)}$

Cancel the common factors,

$height = x + 2$

Thus expression for the height of the prism is x + 2

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3 years ago

The price of a shirt is $25.50, but you have a coupon that lowers the price by 30%. What is the price of the shirt after using t

Lesechka [4]

Answer:

Concept: Price Change

25.50 × 0.30= 7.65
25.50-7.65=17.85

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3 years ago

Find the value of x

Vilka [71]

An exterior angle of a triangle is equal to the sum of the opposite interior
angles ⇒ x = 30 + 90 = 120°

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3 Bike A travels 4/5 of a 1000m course and Bike B travels 1/3 of a 1800 m, course. which bike travelled the longer distance?

soldi70 [24.7K]

Answer:

Bike A

Step-by-step explanation:

For Bike A: (4/5)*1000=800m

For Bike B: (1/3)*1800=600m

800>600

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3 years ago

Toni recipe also calls for seasonings. She needs to stir in 215 milligrams of pepper and 437 milligrams of salt. What is the dif

marishachu [46]

215g + 437g = 652g

You need to find the difference between the amount of seasoning and 1 gram.
652 - 1 = 651g

The answer is:651g

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3 years ago