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3 years ago

When figuring out the amount of mulch would be needed for Alex's back yard, he created an equation that

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

7 0

Answer:

Alex will need 14 bags

Step-by-step explanation:

B= 4(2x+7)+3(2x+7)

and

2x+7=2

First, we should solve the second equation to obtain x:

2x+7=2

2x=2-7

x= -5/2

Then, we use this answer to calculate B:

B=4(2(-5/2)+7)+3(2)

B=4(-5+7)+6

B=4(2)+6

B=8+6

B=14

Alex will need 14 bags

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alina1380 [7]

Answer:

x = 75

Step-by-step explanation:

x/5 = 15 divide both sides by 5 to get rid of fraction

5 × x/5 = 15 × 5

x = 75

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4 years ago

This is proportional, (Proportional means it has an equivalent ratio/constant rate of change/the same rate) y = 12x

Katen [24]

Answer:

Hence, the equation is proportional.

Step-by-step explanation:

To test for proportionality ;

y = 12x

For a proportional relationship ;

y α x

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From. The equation given

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3 years ago

What is (+12) – (-8)?

Sergio [31]

Answer:

+12+8＝+20

Step-by-step explanation:

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3 years ago

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Vesna [10]

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3 years ago

Math question ^^^ please help

Nookie1986 [14]

$(\frac{g}{f})(3)=\frac{-13}{21}\\$

2/3 will not be included in the domain of g/f

Step-by-step explanation:

Given functions are:

$g(x) =-2x^2+5\\f(x)=9x-6$

We have to calculate (f/g)(x) first

The steps will be as follows:

$(\frac{g}{f})(x)=\frac{g(x)}{f(x)}$

Putting the values of functions

$(\frac{g}{f})(x)=\frac{-2x^2+5}{9x-6}\\We\ have\ to\ find\ the\ value\ of\ (\frac{g}{f})(x)\ at\ 3\\So,\\(\frac{g}{f})(3)=\frac{-2(3)^2+5}{9(3)-6}\\(\frac{g}{f})(3)=\frac{-2(9)+5}{27-6}\\(\frac{g}{f})(3)=\frac{-18+5}{27-6}\\(\frac{g}{f})(3)=\frac{-13}{21}$

Domain of g/f:

$(\frac{g}{f})(x)=\frac{-2x^2+5}{9x-6}$

The function will be undefined if the denominator is zero.

To find the domain we will put the denominator equal to zero

So,

$9x-6=0\\Adding\ 6\ on\ both\ sides\\9x-6+6=0+6\\9x=6\\Dividing\ both\ sides\ by\ 9\\\frac{9x}{9}=\frac{6}{9}\\x=\frac{2}{3}$

Hence, the function will be undefined on x=2/3 so 2/3 will not be included in the domain of (f/g)(x)

<u>Answer:</u>

$(\frac{g}{f})(3)=\frac{-13}{21}\\$

2/3 will not be included in the domain of g/f

Keywords: Domain, Operations on Functions

Learn more about functions at:

#LearnwithBrainly

8 0

3 years ago