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Nadya [2.5K]
3 years ago
5

The membership in the math club at Rogers Junior High increased by 7% from last year to this year. The president of the math clu

b used the following expression to find the number of members in the club this year. m + m(0.07) Which of the following is another expression that could be used to get the same results?
Mathematics
2 answers:
disa [49]3 years ago
8 0

you could make a fraction that looks like this 7/100 X x/ amount of memebers

Natali5045456 [20]3 years ago
5 0

Answer:

1.07<em>m</em>

Step-by-step explanation:

The number of members in the math club last year is represented by m. A 7% increase of the membership of the club can be represented by m(0.07).

Adding the increase to the membership is m + m(0.07). The expression is simplified below.

m + m(0.07) = (1 + 0.07)m

= 1.07m

Hope this helps!

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B ^ 2 - 4b - 14 = 0
Blizzard [7]
Simplifying
b2 + -4b + -14 = 0

Reorder the terms:
-14 + -4b + b2 = 0

Solving
-14 + -4b + b2 = 0

Solving for variable 'b'.

Begin completing the square.

Move the constant term to the right:

Add '14' to each side of the equation.
-14 + -4b + 14 + b2 = 0 + 14

Reorder the terms:
-14 + 14 + -4b + b2 = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -4b + b2 = 0 + 14
-4b + b2 = 0 + 14

Combine like terms: 0 + 14 = 14
-4b + b2 = 14

The b term is -4b. Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4b + 4 + b2 = 14 + 4

Reorder the terms:
4 + -4b + b2 = 14 + 4

Combine like terms: 14 + 4 = 18
4 + -4b + b2 = 18

Factor a perfect square on the left side:
(b + -2)(b + -2) = 18

Calculate the square root of the right side: 4.242640687

Break this problem into two subproblems by setting
(b + -2) equal to 4.242640687 and -4.242640687. b + -2 = 4.242640687

Simplifying
b + -2 = 4.242640687

Reorder the terms:
-2 + b = 4.242640687

Solving
-2 + b = 4.242640687

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + b = 4.242640687 + 2

Combine like terms: -2 + 2 = 0
0 + b = 4.242640687 + 2
b = 4.242640687 + 2

Combine like terms: 4.242640687 + 2 = 6.242640687
b = 6.242640687
Simplifying
B = 6.242640687

Subproblem 2
b + -2 = -4.242640687

Simplifying
b + -2 = -4.242640687

Reorder the terms:
-2 + b = -4.242640687

Solving
-2 + b = -4.242640687

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + b = -4.242640687 + 2

Combine like terms: -2 + 2 = 0
0 + b = -4.242640687 + 2
b = -4.242640687 + 2

Combine like terms: -4.242640687 + 2 = -2.242640687
b = -2.242640687

Simplifying
b = -2.242640687
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