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anygoal [31]
3 years ago
13

2. A package of paper towels contains 3 rolls. Each package of paper towels costs $2.79. A function, f(x), is written to represe

nt the cost of purchasing x packages of paper towels. What is the practical domain for the function f(x)?
A. All real numbers
B. All whole numbers
C. All positive numbers
D. All whole numbers that are multiples of 3
Mathematics
1 answer:
kolbaska11 [484]3 years ago
4 0

Answer:

B

Step-by-step explanation:

Let x be the number of packages of paper towels.

Each package of paper towels costs $2.79.

Then x packages of paper towels cost $2.79x.

Hence, a function f(x) is

f(x)=2.79x

Practically, you can buy 0 packages, 1 package, 2 packages and so on, only whole numbers of packages, so practical domain is all whole numbers.

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REWARD: 50 points + Brainly to the best answer.<br> Check the file.
Debora [2.8K]

Answer:

a) No because the gallons and quarts of oil you and your friend bought is proportional.

b) Yes because the gallons and quarts of oil are no longer proportional.

c) 1 gallon of gasoline = $3.55

   1 quart of oil = $5.00

Step-by-step explanation:

Let g = cost per gallon of gasoline

Let q = cost per quart of oil

a)  Creating expressions from the given information:

10g + 2q = 45.50

5g + q = 22.75

From inspection, we can see that if we multiply the second equation by 2, it will give us the first equation.  Therefore, they are proportional and we cannot determine the variables.

b) Creating expressions from the given information:

10g + 2q = 45.50

5g + q = 22.75

8g + 2q = 38.40

From inspection, we can see that the third equation is not proportional to equations 1 and 2.  Therefore, we can use this equation with either of the other equations to determine the variables.

c)

Using equations 2 and 3 from the previous part (b):

5g + q = 22.75

8g + 2q = 38.40

Rewrite 5g + q = 22.75 to make q the subject:

⇒ q = 22.75 - 5g

Substitute into 8g + 2q = 38.40 and solve for g:

⇒ 8g + 2(22.75 - 5g) = 38.40

⇒ 8g + 45.5 - 10g = 38.40

⇒ 2g = 7.1

⇒ g = 3.55

Substitute found value for g into q = 22.75 - 5g and solve for q:

⇒ q = 22.75 - (5 x 3.55)

⇒ q = 5

3 0
2 years ago
Pls help me will make you brainliest k no file too
wolverine [178]

Answer:

286 cubes

Step-by-step explanation:

Find the area by multiplying the fractions. You get 71 1/2. Divide the area by 1/4 that determines your answer.

8 0
3 years ago
Help with special right triangle please
Ahat [919]

Answer:

Step-by-step explanation:

Looking at the right angle triangle that contains x and y, we would apply trigonometric ratio to determine x an y. Taking 60 degrees as the reference angle,

Hypotenuse = y

Adjacent side = x

Opposite side = 36

Therefore,

Sin # = opposite side / hypotenuse

Sin 60 = 36/y

y = 36/Sin60 = 36/0.8660 = 41.57

Cos # = adjacent side/hypotenuse

Cos 60 = x/41.57

x = 41.57Cos 60 = 41.57 × 0.5 = 20.785

Sin45 = z/36

z = 36Sin45 = 36 × 0.7071 = 25.4556

7 0
3 years ago
Circle A has been enlarged to create circle A'. The table below shows the circumference of both circles.
stich3 [128]

Answer:

Option (2) 1.5

Step-by-step explanation:

Rule for the dilation of an image by a scale factor is,

Scale factor = \frac{\text{Radius of image circle A'}}{\text{Radius of pre-image A}}=\frac{r'}{r}

                    = \frac{(2\pi) r'}{(2\pi) r}

                    = \frac{\text{Circumference of image}}{\text{Circumference of pre-image}}

                    = \frac{10.5}{7}

                    = 1.5

Therefore, scale factor was used to create a circle A' = 1.5

Option (2) will be the correct option.

8 0
3 years ago
Pleasee mwa mwa mwa help me
sammy [17]

Answer: About (-2.414, 0) and (0.414, 0)

Step-by-step explanation:

       Let us graph the equation given and see what the x-intercepts are. These are points where the line intercepts the x-axis. <em>See attached</em>.

       This means our x-intercepts are at about (-2.414, 0) and (0.414, 0).

                        These are also equal to -1-\sqrt{2} and  -1+\sqrt{2}

8 0
2 years ago
Read 2 more answers
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