If r =9, b=5, and g = -6, what does (r + b - g)(b + g) equal?

Answers

Answer 1
Answer: remember
-(-x)=+x since negatives cancel
and
+(-x)=-x

try to simplify parenthaseess first

r=9
b=5
g=-6
(r+b-g)(b+g)
(9+5-(-6))(5+-6)
(9+5+6)(5-6)
(14+6)(-1)
(20)(-1)
-20
Answer 2
Answer:

(9+5+6)(5-6)

(20)(-1)

= -20

I hope that's help:0


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The area of a playground is 216 yd^2. the width of the playground is 6 yd longer than its length find the length and width.A. length=18, width=12
B. length=12, width=18
C. length=18, width=24
D.length=24, width=18

Answers

Answer: B. length=12, width=18

Step-by-step explanation:

Let x = Length of the playground then width = x+6

Area of a rectangular playground = Length x width

Since , area of playground = 216\ yd^2.

Then , we have

216=(x)*(x+6)\n\n\Rightarrow\ x^2+6x\n\n\Rightarrow\ x^2+6x-216=0\n\n\Rightarrow\ x^2+18x-12x-216=0\n\n\Rightarrow\ x(x+18)-12(x+18)=0\n\n\Rightarrow\ (x-12)(x+18)=0\n\n\Rightarrow\ x=12\text{ or }x=-18

But length cannot be negative , so reject x= -18 .

Thus , the length of playground = 12 yd

Then , width = 12+6 = 18 yd

Hence, the correct answer is B. length=12, width=18

Let the length of the playground be x, then the width is 6 + x.
Area = length * width = x * (6 + x) = 6x + x^2 = 216

Solving the quadratic equation x^2 + 6x - 216 = 0, we have x = 12 or -18

i.e length = 12 and width = 6 + 18 = 18

Farmingdale is located 8 mi due west of Cambridge. Bayville is located due east of Cambridge, and Louisville is located due north of Cambridge. Louisville is 17 mi from Farmingdale and 24 mi from Bayville.How far is Bayville from Cambridge? Round to the nearest tenth of a mile.

Answers

Bayville is 18.7 mi from Cambridge.

A hat contains the names of seven boys and three girls. If one name is drawn from the hat at random, P(Boy) =

Answers

P(Boy) 

= Number of boys/Total number of people

= 7 / (7+3)

=7/10

=0.7

Answer:

7/10 (7 over 10) or 0.7

There are 7 boys and 3 girls, combined they equal to 10. So, the probability of picking a boy is very likely to be chosen because the probability is over 50% (70%).

Each sales associate at an electronics store has a choice of the two salary options shown below:-$115 per week plus 9.5% commission on the associate's total sales
-$450 per week with no commission

The average of the total sales amount for each associate last year was $125,000. Based on this average, what is the difference between the two salary options each year? (52 weeks = 1 year) (10 POINTS)

Answers

$450 x 52 weeks = $23400

$115 x 52 weeks = $5980

125000 x 0.095 = 11875

11875 + 5980 = 17855

23400 - 17855 = 5545

The difference is $5545

Which of the following x-values makes the inequality -4x + 9 ≤ -23 true?

Answers

Step-by-step explanation:

-4x<_-23-9

-4x<_-32

x>_-32/-4

x>_8

x=[8,positive infinity )

Can some one help me plz with step by step
x^2 - 12x + 35

Answers

Answer:

(x + 3)(5x + 2)

Step-by-step explanation:

{x}^(2)  - 12x + 35 \n  {x}^(2)  - 7x - 5x + 35 \n  = x(x  - 7) - 5(x - 7) \n  = (x - 7)(x - 5)