Which equations represent functions?

The difference of three and the reciprocal of a number is equal to the quotient of 20 and the number. Find the number.

Monica [59]

Equation to find number: $\frac{1}{n}$ - 3 = $\frac{20}{n}$

Number's value: n = $-\frac{19}{3}$

Step-by-step explanation:

Let n be the unknown number.

The reciprocal basically makes the number (n in this case) a fraction. So, that being said, the reciprocal of n would be $\frac{1}{n}$ .

The difference of three and the reciprocal of a number ( $\frac{1}{n}$ ) would be $\frac{1}{n}$ - 3.

The quotient of 20 and the number (n) would be $\frac{20}{n}$ .

So, with this information we've gathered so far, we can come up with an equation to find what the number equals.

Equation: $\frac{1}{n}$ - 3 = $\frac{20}{n}$

To find what the number equals we must solve the equation.

3 0

3 years ago

Sven deposited R3500 into a savings account where interest is compounded annually at 11.2% at the end of two years he withdrew R

Vinil7 [7]

Answer:

Amount left= 4,327.9 - 1,800

Step-by-step explanation:

Giving the following information:

Initial deposit (PV)= $3,500

Interest rate (i)= 11.2%

Number of periods (n)= 2 years

Withdrawal= $1,800

First, we need to calculate the future value of the investment at the end of 2 years:

FV= PV*(1 + i)^n

FV= 3,500*(1.112^2)

FV= $4,327.9

Now, after the withdrawal:

Amount left= 4,327.9 - 1,800

3 0

3 years ago

Mark wants to paint a mural. He has 1 1/8 gallons of yellow paint, 1 1/9 gallons of green paint, and 7/8 gallons of blue paint.

tensa zangetsu [6.8K]

Answer:

We have 31/36 gallons of paint left after painting the mural.

Step-by-step explanation:

"Mark wants to paint a mural. He has 1 1/8 gallons of yellow paint, 1 1/9 gallons of green paint, and 7/8 gallons of blue paint. Mark plans to use 3/4 a gallon of each paint color. How many gallons of paint will he have left after painting the mural? Enter your answer as a simplified fraction."

==================================================================

First change each number into a improper fraction:

1 1/8 = 9/8

1 1/9 = 10/9

7/8 = 7/8

=================================================================

"If Mark has 9/8 gallons of yellow paint, and he uses 3/4 gallons"

-We have to multiply 3/4 by 2/2 to make the denominators same.

3/4 × 2/2 = 6/8

Now subtract 6/8 from 9/8.

9/8 - 6/8 = 3/8

We will have 3/8 gallons of yellow paint.

==================================================================

"If Mark uses 10/9 gallons of green paint, and he uses 3/4 gallons"

- We have to multiply 10/9 by 4/4, and 3/4 by 9/9, to get a common denominator.

10/9 × 4/4 = 40/36

3/4 × 9/9 = 27/36

Now subtract 27/36 from 40/36

40/36 - 27/36 = 13/36

We will have 13/36 gallons of green paint.

==================================================================

"If Mark uses 7/8 gallons of blue paint, and he uses 3/4 gallons"

-We have to multiply 3/4 by 2/2 to get a common denominator.

3/4 × 2/2 = 6/8

Now subtract 6/8 from 7/8.

7/8 - 6/8 = 1/8

We will have 1/8 gallons of yellow paint.

==================================================================

Now, we will add the leftover amounts of paint to find the answer.

3/8 + 13/36 + 1/8

Add "like terms".

4/8 + 13/36

Simplify 4/8 into 1/2

1/2 + 13/ 36

Multiply 1/2 by 18/18 to get a common denominator.

1/2 × 18/18 = 18/36

Substitute 18/36 as 1/2 in the expression.

18/36 + 13/36 = 31/36

So, We have 31/36 gallons of paint left after painting the mural.

==================================================================

Hope I helped, Have a nice day!

-Aadi x

6 0

3 years ago

What is the approximate value of log 12 if log 2 =0.301, log 3 =0.477, and log 6 = 0.778

lara31 [8.8K]

Answer:1.079

Step-by-step explanation:

We know that log a +log b = logab

Using this rule, we will find log12.

Log6 + log2= log12

.778 + .301 = 1.079

6 0

4 years ago

When shopping for accessories for her action camera, Giana found an advertisement for a replacement battery. The advertisement i

ArbitrLikvidat [17]

Answer:

The correct options are;

The equation of the function is 2·y = -25·x + 200

The equation of the function is y = -25/2·x + 100

The x-intercept of the function is (8, 0)

Step-by-step explanation:

From the graph of the function, the y-intercept is observed at (0, 100), the x-intercept occurs at (8, 0)

Therefore, we have the slope, m given by the following relation

$Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Where:

y₁ = 100

x₁ = 0

y₂ = 0

x₂ = 8

Which gives;

$m =\dfrac{0-100}{8-0} = -12.5$

The equation in slope can be found as follows

y - 100 = -12.5×(x - 0)

y = -12.5·x + 100 = -25/2·x + 100

Multiplying by 2 gives;

2·y = -25·x + 200

25·x + 2·y = 200

Therefore, the correct options are;

The equation of the function is 2·y = -25·x + 200

The equation of the function is y = -25/2·x + 100

The x-intercept of the function is (8, 0).

7 0

4 years ago

Read 2 more answers

Which equations represent functions? ​

Which equations represent functions?