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3 years ago

Factor the following polynomial: 5x(a - b) – 2y(a - b)

Mathematics

1 answer:

Afina-wow [57]3 years ago

5 0

Answer:

(a - b)(5x - 2y)

Step-by-step explanation:

5x(a - b) – 2y(a - b) =

The factors in parentheses (shown in bold) are a common factor.

Factor (a - b) out from both terms.

= (a - b)(5x - 2y)

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Determine if there is a proportional relationship between the two quantities

Shalnov [3]

Answer:

The table a not represent a proportional relationship between the two quantities

The table b represent a proportional relationship between the two quantities

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

Verify each table

Table a

Let

A ----> the independent variable or input value

B ----> the dependent variable or output value

the value of k will be

$k=\frac{B}{A}$

For A=35, B=92 ---> $k=\frac{92}{35}=2.63$

For A=23, B=80 ---> $k=\frac{80}{23}=3.48$

the values of k are different

therefore

There is no proportional relationship between the two quantities

Table b

Let

C ----> the independent variable or input value

D ----> the dependent variable or output value

the value of k will be

$k=\frac{D}{C}$

For C=20, D=8 ---> $k=\frac{8}{20}=0.40$

For C=12.5, D=5 ---> $k=\frac{5}{12.5}=0.40$

the values of k are equal

therefore

There is a proportional relationship between the two quantities

The linear equation is equal to

$D=0.40C$

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3 years ago

. Cara is playing a game. For each dart she can toss onto a board, she

Kaylis [27]

She will need 12 seconds because -20•12=-240

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Water was leaking from a pipe at a constant rate, filling a 2-cup container every hour. How man gallons of water leaked from the

Harrizon [31]

The answer is C. 3 gallons of water

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Read 2 more answers

The diameter of a circle is 4 m. Find its area in terms of π

Firdavs [7]

Answer:

should be 12.56

Step-by-step explanation:

the formula to find the area of a circle is A= πr2

so what you do is mulitply 3.14 ( number of pi) times radius (half of what the diameter is) squared which is the radius times the radius

3.14 x 2 x 2 + 12.56

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3 years ago

Given that y = 9x+4 -3(7 + x ) when x=3.2

djyliett [7]

9(3.2)+4-3(7+3.2)=2.2

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3 years ago