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Lunna [17]
1 year ago
8

Question 3. Y=(1/5)^xSketch the graph of each of the exponential functions and label three points on each graph.

Mathematics
1 answer:
STatiana [176]1 year ago
5 0

Given exponential function:

y\text{ = (}\frac{1}{5})^x

Let us obtain three points including the y-intercept so that we can plot the function y = f(x)

When x =0:

\begin{gathered} y\text{ = (}\frac{1}{5})^0 \\ =\text{ 1} \end{gathered}

when x =1:

\begin{gathered} y\text{ = (}\frac{1}{5})^1 \\ =\text{ }\frac{1}{5} \end{gathered}

when x =2:

\begin{gathered} y\text{ = (}\frac{1}{5})^2 \\ =\text{ }\frac{1}{25} \end{gathered}

We have the points : (0, 1), (1, 1/5), and (2, 1/25)

Using these points, let us provide a sketch of the plot of y =f(x). We have the plot as shown below:

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Step-by-step explanation:

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3 years ago
Find the 89th term of the arithmetic sequence 25, 35, 45, ...
Eddi Din [679]

Answer:

905

Step-by-step explanation:

arithmetic sequence are in form

a(n)=a(0)+d(n-1)

a(0)=25

common difference: d=35-25=10

a(n)=25+10(n-1)

a(89)=25+10(88)=905

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3 years ago
A baseball team sells tickets for two games. The ratio of sold tickets to unsold tickets for the first game was 7 : 3. For the s
Tanzania [10]
Answer
1260

A baseball team sells tickets for two games.
The ratio of sold tickets to unsold tickets for the first game was 7 : 3. For the second game, the ratio was 13 : 2. There were 240 unsold tickets for the second game. How many tickets were sold for the first game?
8 0
3 years ago
Farmer Theresa's Produce Stand sells 27.5 lbs. bags of mixed nuts that contain 44% peanuts. To make her product she combines Bra
masya89 [10]

Answer:

Theresa needs 14.3 pounds of Brand A mixed nuts and 13.2 pounds of Brand B mixed nuts.

Step-by-step explanation:

Let A represent the brand A mixed nuts and B represent Brand B mixed nuts.

We have been given that farmer Theresa's Produce Stand sells 27.5 lbs. bags. We can represent this information in an equation as:

A+B=27.5...(1)

We are also told that to make her product she combines Brand A mixed nuts which contain 20% peanuts and Brand B mixed nuts which contain 70% peanuts.

We can represent this information in an expression as:

0.20A+0.70B

Since the stand sells 27.5 lbs. bags of mixed nuts that contain 44% peanuts. We can represent this information in an equation as:

0.20A+0.70B=0.44(27.5)...(2)

Upon substituting equation (1) in equation (2), we will get:  

0.20(27.5-B)+0.70B=0.44(27.5)

5.50-0.20B+0.70B=12.10

5.50+0.50B=12.10

5.50-5.50+0.50B=12.10-5.50

0.50B=6.6

\frac{0.50B}{0.50}=\frac{6.6}{0.50}

B=13.2

Therefore, Theresa needs 13.2 pounds of Brand A mixed nuts.

To find amount of Brand B mixed nuts, we will substitute B=13.2 in equation (1) as:

A+13.2=27.5

A+13.2-13.2=27.5-13.2

A=14.3

Therefore, Theresa needs 14.3 pounds of Brand B mixed nuts.

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4 years ago
Which is the graph of f(x)
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3 years ago
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