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3 years ago

A rectangle is (2 x + 5) long and (x^2 - 3x + 1) wide. What is its area?

Mathematics

1 answer:

Stolb23 [73]3 years ago

3 0

Area of a rectangle is computed by multiplying its length and its width.

A = L * W
A = (2x+5)(x²-3x+1)
A = 2x(x²) + 2x(-3x) + 2x(1) + 5(x²) + 5(-3x) + 5(1)
A = 2x³ - 6x² + 2x + 5x² - 15x + 5
Group like terms:
A = 2x³ - 6x² + 5x² + 2x - 15x + 5
A = 2x³ - x² - 13x + 5 CHOICE A.

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There are 42 children in the classroom each student will get 28 pencils and 46 erasers how many pencils will the teacher have to

Aleksandr-060686 [28]

Since the question is asking how many pencils the teacher will have to give out, we can automatically ignore the 46 erasers from the problem because it is not relevant. The information was most likely put there to confuse you.

Each student is getting 28 pencils, so if we multiply the number of students by 28 pencils, we will find how many pencils the teacher will need to give out.

There are 42 children in the classroom, so multiply 42 by 28.

42 * 28 = 1,176

The teacher will have to give out 1,176 pencils to her 42 children in the classroom.

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A spinner is divided into 8 equal sections, and each section contains a number from 1 to 8. What is the probability of the spinn

alukav5142 [94]

Answer:

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Step-by-step explanation:

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What is the slope of the line that passes through the points (4, -9)(4,−9) and (8, -3) ?(8,−3)? Write your answer in simplest fo

faltersainse [42]

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$\frac{3}{2}$

Step-by-step explanation:

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There is a total of 2,512 people attending the fun fair. 5/8 of sttemdees are students and 1/4 of attendees are parents. the res

kvv77 [185]

Answer:

314 of the people attending the fun fair are people living in the neighborhood

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Number of people attending the fun fair = 2,512

Fraction of people attending the fun fair that are students = 5/8

Fraction of people attending the fun fair that are parents = 1/4

Rest of the people attending the fun fair lives in the neighborhood

2. Let's calculate the number of students, parents and people living in the neighborhood

Students:

Fraction of people attending the fun fair that are students = 5/8

5/8 * 2,512 = 1,570

1,570 of the people attending the fun fair are students

Parents:

Fraction of people attending the fun fair that are parents = 1/4

1/4 * 2,512 = 628

628 of the people attending the fun fair are parents

People living in the neighborhood

2,512 - 1,570 - 628 = 314

314 of the people attending the fun fair are people living in the neighborhood

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