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Gwar [14]
3 years ago
15

A cable company charges a monthly fee for cable service plus an additional $3 for each premium channel. This is given by the fun

ction y = 3x + 28.5. George has cable service with 4 premium channels. Write the domain and range using set notation. What is the cost of George’s monthly cable service?
Mathematics
1 answer:
svlad2 [7]3 years ago
3 0

Answer:

domain all real numbers

range all real numbers

the cost of his monthly cable is $40.50 when you plug in 4

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Paper plates cost $8 per package and plastic utensils cost $5 per package. Your supplier delivers 15 packages for a total cost o
Fittoniya [83]
To find the total of what you sold for each package, you'll need to write two equations. Know that x = paper plate packages and y = utensil packages.
First, x + y = 15 shows that there has to be fifteen packages, and 8x + 5y = 90 shows the $ made from selling a certain number of packages.
Next, you can solve by substitution, so change x + y = 15 to y = 15 - x.

To find our x, substitute the y in 8x + 5y = 90 to get
8x + 5(15 - x) = 90
Distribute: 8x + 75 - 5x = 90
Combine the X's and subtract the 75: 3x = 15
Divide the 3: x = 5

Now with our x, we can put 5 into the original equation x + y = 15 to get 5 + y = 15. Subtracting the 5, we get y = 10.

So, you have delivered 5 paper plate packages and 10 utensil packages.
8 0
3 years ago
Name a career that requires data-analysis skills. Describe how data analysis is used in this career. Be specific in your example
Viefleur [7K]

Answer: Find explanations below.

Step-by-step explanation:

1. A career as a Data Scientist would require data analysis skills.

2. The Data Scientist computes and analyzes large amounts of data from different sources and then makes useful interpretations with it. He needs skills In Statistics, Calculus, Probability, Programming, Excel, Visualization, Database management, and Machine Learning. He also needs a high level of accuracy when solving problems.

3. The median value is used when the data set contains values that repeat regularly and which contains some extremely high values. The mean value would aggravate towards higher values while the Median value would give a salary value that is an average of the data set. That is why the median value is used in salaries and housing prices calculations.

4. The dot plot is a simple scale representation of data values using dots to highlight the frequency of occurrences. I would use a dot plot to analyze quantitative data (like percentages, and decimals), and univariate data ( like mean, median, and mode).

The box plot analyzes a group of data in graphic styles. I would use it to determine the interquartile range, maximum, minimum, and median values. I would also use it to identify outliers.

5. Dot plot Strengths:

a. It is easy to plot the dots.

b. It is easy to interpret the data.

c. It shows the connection between the two data sets.

Dot Plot Weaknesses:

a. It shows the similarities between only two sequences.

b. The changes that occur between the data set cannot be easily detected.

c. It is time-consuming.

Box Plot Strengths:

a. Outliers are detected.

b. Indicates the 5-point summary.

c. It can compare more than two data set.

Box Plot Weaknesses:

a. Real values are lost.

b. The graph Is not easy to the sight.

6. The Income of the population of adult women would have a negatively skewed distribution.

4 0
3 years ago
Let f(x)=(18)3^x. find the equation of the line between the points (-2,f(-2)) and (1,f(1))
horsena [70]

\text{Given that,} \\\\f(x) = 18 \cdot 3^x \\\\f(-2) = 18 \cdot 3^{-2} = 2\\\\f(1) = 18 \cdot 3^1 = 54\\ \\\text{So,}~ (x_1,y_1) = (x_1, f(-2)) = (-2,2) ~\text{and}~ (x_2,y_2) = (x_2, f(1)) = (1,54)\\ \\\text{Slope,}~ m = \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{54-2}{1+2} = \dfrac{52}3 \\\\

\text{Equation of line,}\\\\~~~~~~~y - y_1 = m (x-x_1)\\\\\\\implies y-2 = \dfrac{52}3(x+2)~~~~~~~~~~~;[\text{Point-Slope form.]} \\\\\\\implies y-2 = \dfrac{52}3x + \dfrac{104}3\\\\\\\implies y = \dfrac{52}{3}x + \dfrac{104} 3 +2\\\\\\\implies y = \dfrac{52}3 x +\dfrac{110}3 ~~~~~~~~~~~~~~~;[\text{Slope -Intercept form}]

6 0
2 years ago
A magazine currently has 8700 subscribers for its online web version. It is adding members at the rate of R(t) = 190e0.03t subsc
aleksklad [387]

Number of subscriber the magazine will have after 3 years from now approximately be 8767

<u>Solution:</u>

Given that magazine currently has 8700 subscribers for its online web version

\begin{array}{l}{\mathrm{R}(\mathrm{t})=190 \mathrm{e}^{0.03 \mathrm{t}} \text { subscribers/month }} \\\\ {\mathrm{S}(\mathrm{t})=\mathrm{e}^{-0.06 \mathrm{t}}}\end{array}

After 3 years, time(t) = 36 month

Total number of subscribers after 3 years from now :

Substitute "t" = 36

\begin{array}{l}{\mathrm{R}(36)=190 \mathrm{e}^{0.03 \times(36)}=190 \times(2.944)} \\\\ {\mathrm{R}(36) \approx 560} \\\\ {\mathrm{S}(36)=\mathrm{e}^{-0.06 \times(36)}=0.12}\end{array}

Subscribers remaining = 0.12 x 560 = 67.2

The magazine currently has 8700 subscribers

Added Subscriber = 8700 + 560 = 9260

Remaining Subscriber = 8700 + 67.2 = 8767.2

Therefore number of subscriber the magazine will have after 3 years from now approximately be 8767

7 0
3 years ago
What do you think will happen to Earth if climate chang is solved.?​
Ksju [112]

Answer:

it will be more wildfires longer periods of droughts

3 0
2 years ago
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