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garik1379 [7]
3 years ago
8

The exponential function, f(x)=2^x, undergoes two transformations to g(x)=3x2^x+5. How does the graph change? Select all that ap

ply (choose two)

Mathematics
1 answer:
Shalnov [3]3 years ago
5 0

Answer: Options A and C.

Step-by-step explanation:

 The parent exponential function has the form:

f(x)=b^x

This can be transformated as following:

When you multiply the function by a factor <em>a</em> (a*f(x))<em> </em>and <em>a>0 </em>, then the function is  vertically stretched.

When you add a number <em>k</em> to the parent function, the function is shifted up (f(x)+k)

The parent function given in the problem is:

f(x)=2^x

To obtain the function g(x)=3*2^x+5, the parent function is multiplied by a factor 3 (which is greater than 0) and the number 5 is added.

Therefore, the graph is shifted up and vertically stretched.

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The fare for a taxi cab is $2.50 per passenger and $0.75 for each mile. A group of friends has $22.00
xeze [42]

For this case we have to:

x: Let the variable representing the number of people to travel in the group

y: Let the variable representing the number of miles traveled.

If friends only have $22 then we have the following inequality:

2.50x + 0.75y \leq22

Now, if there are three people in the group we have that x = 3.

2.50 (3) + 0.75y \leq22\\7.5 + 0.75y \leq22\\0.75y \leq22-7.5\\0.75y \leq14.5\\y\leq \frac {14.5} {0.75}\\y\leq19.33

The taxi can travel a maximum of 19.33 miles.

On the other hand, if the group wants to travel 10 miles then we have to y = 10.

2.50x + 0.75 (10) \leq22\\2.50x + 7.5 \leq22\\2.50x \leq22-7.5\\2.50x \leq14.5\\x\leq \frac {14.5} {2.50}\\x \leq5.8

Thus, they could travel a maximum of 5 people.

ANswer:

2.50x + 0.75y \leq22

Traveling 3 people, the taxi can travel a maximum of 19.33 miles

Traveling 10 miles, a maximum of 5 people can travel

7 0
3 years ago
You want your daily sodium intake to be less than 2300 milligrams. For breakfast, you eat a cereal bar with the nutrition label
ipn [44]

According to the information in the nutritional table, it can be inferred that the amount of milligrams of sodium that we should consume during the rest of the day must be less than 2,175mg,

<h3>How to calculate the amount of sodium we can consume?</h3>

To calculate the amount of sodium that we can consume during the rest of the day after breakfast, we must subtract the value of sodium consumed to the amount of total sodium that we want to ingest as shown below:

  • 2300mg - 125mg = 175mg

According to the above, it can be inferred that after consuming the cereal bar at breakfast, we should consume an amount less than or equal to 2,175mg of sodium in the other meals of the day (lunch, dinner and snacks).

Learn more about sodium in: brainly.com/question/24010534

#SPJ1

8 0
1 year ago
Kevin wants to buy an area rug for his living room. He would like the area rug to be no smaller that 24 square feet and no bigge
Julli [10]

Answer: 6 feet to 8 feet

Step-by-step explanation: 6x4=24 8x6=48

5 0
3 years ago
Read 2 more answers
Similar triangle question
marishachu [46]

Answer:

thats a 90 degrees angle

5 0
3 years ago
Simplify: -3 1/2-(-12 1/4) mi
nasty-shy [4]

Answer: 35/4 miles..... (Hopefully I read correctly)

Step-by-step explanation:

(-7/2)-(-49/4)

(-7/2)+49/4

-14/4+49/4

35/4

Hope this helps!

6 0
3 years ago
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