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2 years ago

there are 2.54 centimeters in 1 inch. how many centimeters are there in 1 foot? in 1 yard? explain your reasoning

Mathematics

1 answer:

AVprozaik [17]2 years ago

3 0

Answer:

1 foot = 30.48 centimeters

1 yard = 91.44 centimeters

Step-by-step explanation:

If there are 2.54 centimeters in an inch, and 12 inches in a foot, then you need to multiply 2.54 by 12.

Their are 36 inches in a yard so you need to multiply 2.54 by 36

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Complete the table for the following function<br> y=(1/3)^x

Bumek [7]

x=-3 then y= 27

x= -2 then y= 9

x=2 then y: $y=\frac{1}{9}$

x=3 then y: $y=\frac{1}{27}$

The graph of the function decreases from left to right.

Option C is correct.

Step-by-step explanation:

We are given the function: $y=(\frac{1}{3})^x$

and we need to fill the table

if x = -3 then y=?

Putting value of x in the given function:

$y=(\frac{1}{3})^x$

$y=(\frac{1}{3})^-3$

Applying exponent rule a^-b= 1/a^b

$y=\frac{1}{(\frac{1}{3})^3 }\\y=\frac{1}{\frac{1}{27}}\\y=27$

if x = -2 then y=?

Putting value of x in the given function:

$y=(\frac{1}{3})^x$

$y=(\frac{1}{3})^-2$

Applying exponent rule a^-b= 1/a^b

$y=\frac{1}{(\frac{1}{3})^2 }\\y=\frac{1}{\frac{1}{9}}\\y=9$

if x = 2 then y=?

Putting value of x in the given function:

$y=(\frac{1}{3})^x$

$y=(\frac{1}{3})^2$

Applying exponent rule a^-b= 1/a^b

$y=\frac{1}{(\frac{1}{3})^2 }\\y=\frac{1}{9}$

if x = 3 then y=?

Putting value of x in the given function:

$y=(\frac{1}{3})^x$

$y=(\frac{1}{3})^3$

Applying exponent rule a^-b= 1/a^b

$y=\frac{1}{(\frac{1}{3})^3 }\\y=\frac{1}{27}$

So, x=-3 then y= 27

x= -2 then y= 9

x=2 then y: $y=\frac{1}{9}$

x=3 then y: $y=\frac{1}{27}$

Graph of the function is shown in figure attached.

The graph of the function decreases from left to right.

Option C is correct.

Keywords: Solving Equations

Learn more about Solving Equations at:

#learnwithBrainly

7 0

3 years ago

Solve the system X plus 3Y equals 5X plus 4Y equals six

Art [367]

Answer:

x+3y = 6

or, x = 6-3y.................(1)

3x+5y =6..........(2)

Substituting x = 6-3y in equation (2),

3 (6 - 3 y)+5 y =6

or, 18 - 9y +5y=6

or, y = 3

x = 6 - 3y = 6- 3.-3 = -3

3 0

3 years ago

PLEASE HELP! THIS IS DUE TONIGHT! THANK YOU!!<br><br> EXPLANATION = BRAINLIEST

ladessa [460]

Answer:

Step-by-step explanation:

18/6=51/p

do cross multiplication

6*51=p*18

306/18=p

17=p

therefore perimeter is 17 cm

4 0

2 years ago

A 12ft- ladder leans against the side of a house. The bottom of the ladder is 7ft from the side of the house. How high is the to

julsineya [31]

Ladder forms a right triangle with base 7 and hypotenuse 12, so

7²+h²=12². where h is the height
49+h²=144
h²=91
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3 years ago

G(x)=23x+1; find g (-3), g (0),and f (9x+6)

IrinaK [193]

Answer:

x= -1/23

Step-by-step explanation:

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2 years ago