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Chapter 2: Q2. (page 80)

What is the coefficient of y in the expression8鈭�3y+1

Short Answer

Expert verified

The coefficient of y is 鈥�3.

Step by step solution

01

Step-1 – Apply the concept of terms and like terms

In an algebraic expression, terms are separated by plus or minus signs.

The term coefficient refers to the number in front of the variable in any term of the expression.

A constantterm is the number which have no variable associated with it.

Like terms are the terms which have identical variable parts with same exponent on it.

02

Step-2 – Example of coefficient

In the expression, 3鈭�5x+2, observe that there are three terms 3, 鈥�5x and 2 which are separated by plus signs.

So, the terms of the given expression are 3x, 2, and 5x.

The only term with variable is 鈥�5x. Observe that the number in front of variable is 鈥�5, so the coefficient in this expression is 鈥�5.

03

Step-3 – Identify the coefficient of y

Coefficients are the numbers associated with the variable in any term of the expression.

In the given expression8鈭�3y+1, the only variable term is 鈥�3y.

So, the coefficients coefficient of y in the given expression is 鈥�3.

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Most popular questions from this chapter

Astronomy Cepheid stars appear to pulsate because they expand and contract in size. In its contracted phase, the Cepheid star Zeta Geminorum is 51 million miles across. This is 5 million miles less than the star鈥檚 distance across in its expanded phase. Find the distance across Zeta Geminorum in its expanded phase.

Agriculture A farmer grows tomatoes and cucumbers in the field shown. The annual cost

of growing tomatoes is \(.27 per square foot. The annual cost of growing cucumbers is \).10 per square foot. Let x represent the width (in feet) of the tomato portion of the field.

  1. In terms of x, what is the area of the tomato portion? of the cucumber portion?
  2. Write and simplify an expression in terms of x for the annual cost of growing both crops.
  3. Find the annual cost of growing both crops if the width of the tomato portion is 350 feet

Extended Problem Solving You are making a rectangular rug. You want the rug to be twice as long as it is wide. Let w represent the width (in feet) of the rug.

a. Write an expression in terms of w for the perimeter of the rug.

b. Write an expression in terms of w for the area of the rug.

c. Calculate Copy and complete the table.

d. Writing Explain how doubling the width of the rug affects the perimeter and the area

Use the distributive property to evaluate the expression.

3106

What are terms that have a number but no variable called?
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