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mr Goodwill [35]
3 years ago
10

The area of a rectangle is 30 + 12x. List at least 3 possibilities for the length and width of the rectangle.

Mathematics
1 answer:
Gala2k [10]3 years ago
6 0

Answer:

Below in bold.

Step-by-step explanation:

Area  = 30 + 12x and area is also = to width * length so we need to look for factors of 30 + 12x.

30 + 12x = 6(5 + 2x)

So  6 and 5 + 2x  is one possible answer.

3 and 10 + 4x is another.

12 and 2.5 + x is another.

If we multiply these pairs together we see that the result is

30 + 12x in each case.

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Solve the inequality: (x+3)(x−4)<−12
melamori03 [73]

Answer:

0<x<1

Step-by-step explanation:

(x+3)(x−4)<−12

FOIL

x^2 -4x+3x -12 <-12

x^2 -x -12 <-12

Add 12 to each side

x^2 -x -12+12 <-12+12

x^2 -x <0

Factor out an x

x(x-1) <0

Using the zero product property

x(x-1) =0

x=0  x-1=0

x=0  x=1

Check the ranges

x<0

x(x-1) <0        

- * - >0

False

0<x<1

x(x-1) <0        

+ * - <0

True

x>1

x(x-1) <0        

+ * + >0

False

3 0
3 years ago
Divide. Write the quotient in lowest terms, 1 1/3 divided by 1 3/4. Please give a thorough explanation as i need help to figure
GaryK [48]

Answer:

Step-by-step explanation:

convert mixed fractions to improper fractions

rule=a b/c=(ac+b)/c

(1 1/3)/(1 3/4)

(4/3)/(7/4)

rule for dividing fractions=(a/b)/(c/d)=(a/b)(d/c)

(4/3)(4/7) then you can multiply the numerators and denominators

16/21

7 0
3 years ago
Find the slope of the given points (2,5) and (8,-3) and write the equation​
max2010maxim [7]

Answer:

Slope = \frac{-4}{3}

4x + 3y = 23

Step-by-step explanation:

slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{-3-5}{8-2} =\frac{-8}{6} =\frac{-4}{3}

The equation:

\frac{y-y_{1} }{x-x_{1} }=m   m is the slope

y-y_{1}=m(x-x_{1} )

y - 5 = -4/3 (x - 2) Multiply both sides by 3

3y -15 = -4 (x - 2)  

3y - 15 = -4x + 8

3y + 4x = 8 + 15

3y + 4x = 23

4x + 3y = 23

7 0
4 years ago
Bike rental company A charges an initial fee of $8 plus $1.25 for every hour spent biking. Bike rental company B charges $2.75 f
Lera25 [3.4K]
2.75h =8-1.25h is thus the one
7 0
3 years ago
16) Total asset turnover is used to evaluate: A. The efficiency of management's use of assets to generate sales. B. The necessit
Mariulka [41]

Answer:

A. The efficiency of management's use of assets to generate sales.

Step-by-step explanation:

The total asset turnover is calculated by dividing the sales to the assets. It measures the ability for a company so that in efficient way it would generate the sales.

By using the assets of the company, the company is able to generate the sales that could help the company for achieving the goals and objectives

Therefore according to the given situation, the a option is correct

6 0
3 years ago
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