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2 years ago

A student is instructed to square a binomial and gets the results show

Mathematics

1 answer:

otez555 [7]2 years ago

7 0

The correct option about squaring the binomial is that B. The student is wrong. There is a missing term.

<h3>How to use binomial theorem?</h3>

We want to square a binomial and using pascal's triangle in binomial theorem, we know that; (x + a)² will follow the pattern;

1x²a⁰ + 2a¹x¹ + 1x⁰a²

Thus, we can say that the expression (x + 3)² will give us;

x² + 2(3x) + 9a²

= x² + 6x + a²

Thus, we can say that the correct option about squaring the binomial is that B. The student is wrong. There is a missing term.

Complete Question is;

A student is instructed to square a binomial, and gets the result shown. Choose the correct description of the student's work. (x + 3)² = x² + 9 Choose the correct answer below.

A. The student is wrong. You cannot square a binomial, only monomials.

B. The student is wrong. There is a missing term.

C. The student is correct. Each given term is squared.

D. The student is wrong. The student should add the threes instead of multiplying them.

Read more about binomial Theorem at; brainly.com/question/13602562

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A caterer offers five different appetizers, three different drinks and four different sandwiches. How many combinations of two a

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Appetizers = 5 types

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3 years ago

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3 years ago

An online data base charges $25 an hour during the day and $12.50 an hour at night. If a research company paid $250 for 12 hours

Firdavs [7]

Answer

Find out the which system of equations could be used to determine the number of hours charged at the day rate (d) and at the night rate (n) .

To proof

As given in the question

Let us assume that the number of hours charged at the day rate = d

Let us assume that the number of hours charged at the night rate = n

An online data base charges $25 an hour during the day and $12.50 an hour at night. If a research company paid $250 for 12 hours of use.

Total working hour in a company including day and night be 12 hours .

than the equation become in the form

d + n = 12

also

An online data base charges $25 an hour during the day

$12.50 an hour at night.

If a research company paid $250 for 12 hours of use.

than the equation becomes

25d + 12.50n = 250

than the two equation are

d + n = 12 , 25d + 12.50n = 250

multiply first by 25 and subtracted from 25d + 12.50n = 250

25d - 25d + 12.50n - 25n = 250 - 300

12.5 n = 50

$n = \frac{50}{12.5}$

n = 4hours

put this in the d + n = 12

d + 4 =12

d = 12-4

d = 8 hours

Therefore the number of hours charged at the day rate is 8 hours and at the night rate is 4hours .

Hence proved

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4 years ago