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Mariulka [41]
2 years ago
12

Consider the function represented by the equation y-6x-9=0. Which answer shows the equation written in function notation with x

as the independent variable? A.f(x)= 6x+9 B. f(x)=1/6x+3/2 C. f(y)=1/6y+3/2
Mathematics
2 answers:
spin [16.1K]2 years ago
6 0

we have

y-6x-9=0

Step 1

<u>Clear the variable y</u>

y-6x-9=0

Adds (6x+9) both sides

y-6x-9+(6x+9)=0+(6x+9)

y=(6x+9)

Step 2

<u>Convert in function notation</u>

Let

f(x)=y

f(x)=(6x+9)

therefore

<u>the answer is</u>

f(x)=(6x+9)


Nina [5.8K]2 years ago
4 0

Solution:

There are two kind of variables when equation of a function is written

1. Independent variable

2. Dependent Variable

A variable is said to be independent , if it can select constant values by itself.

And, a variable is said to be independent, if it is dependent on other variable of the equation.

The given equation is , y-6 x -9=0

As, we have to write a function in which x is an independent variable and other variable y, will work as a dependent variable.

So, writing the above linear function as,

y= 6 x + 9

f(x)= 6 x + 9 →→Option (A)

Correct representation of function in which x is an independent variable and y is a dependent variable,because if we substitute different real values of x, we get different real values of y.

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2 years ago
According to a 2014 research study of national student engagement in the U.S., the average college student spends 17 hours per w
Nadusha1986 [10]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 17

For the alternative hypothesis,

µ < 17

This is a left tailed test.

Since the population standard deviation is not given, the distribution is a student's t.

Since n = 80,

Degrees of freedom, df = n - 1 = 80 - 1 = 79

t = (x - µ)/(s/√n)

Where

x = sample mean = 15.6

µ = population mean = 17

s = samples standard deviation = 4.5

t = (15.6 - 17)/(4.5/√80) = - 2.78

We would determine the p value using the t test calculator. It becomes

p = 0.0034

Since alpha, 0.05 > than the p value, 0.0043, then we would reject the null hypothesis.

The data supports the professor’s claim. The average number of hours per week spent studying for students at her college is less than 17 hours per week.

4 0
2 years ago
Kiersten runs a website that helps people learn programming. Every month, Kiersten receives a subscription fee of \$10$10dollar
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Answer:

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Step-by-step explanation:


8 0
2 years ago
Read 2 more answers
The equation A(t) = 900(0.85)t represents the value of a motor scooter t years after it was purchased. Which statements are also
ValentinkaMS [17]

Answer:

When new, the scooter cost $900

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

we have

A(t)=900(0.85)^t

This is a exponential function of the form

A(t)=a(b)^t

where

A(t) ----> represent the value of a motor scooter

t ----> the number of years after it was purchased

a ---> represent the initial value or y-intercept

b is the base of the exponential function

r is the percent rate of change

b=(1+r)

In this problem we have

a=\$900\\b=0.85

The base b is less than 1

That means ----> is a exponential decay function (is a decreasing function)

Find the percent rate of change

b=(1+r)\\0.85=1+r\\r=0.85-1\\r=-0.15

Convert to percentage (multiply by 100)

r=-15\% ---> negative means is a decreasing function

<u><em>Verify each statements</em></u>

<em>case A</em>) When new, the scooter cost $765.

The statement is false

Because the original value of the scooter was $900

case B) When new, the scooter cost $900

The statement is true (see the explanation)

case C) The scooter’s value is decreasing at a rate of 85%  each year

The statement is false

Because the scooter’s value is decreasing at a rate of 15%  each year (see the explanation)

case D) The scooter’s value is decreasing at a rate of  0.15% each year

The statement is false

Because the scooter’s value is decreasing at a rate of 15%  each year (see the explanation)

8 0
2 years ago
You offer senior citizens a 20 percent discount on their meal prices served at your cafeteria. Assuming that an average of 150 s
scoray [572]

Given, there are an average of 150 citizens eat daile in the cafeteria.

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The discount given for sinior citizens in their meals = 20%

So we have to find 20% of $5.95 first.

20% of $5.95 = (5.95)(\frac{20}{100} )

= \frac{(5.95)(20)}{100}

= \frac{119}{100}

= 1.19

So, the amount of discount given to the senior citizens = $1.19 per head.

As there are 150 cinior citizens daily.

So total discount given daily = $(150)(1.19) =$178.5

So we have got the required answer.

Option C is correct here.

3 0
2 years ago
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