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nikdorinn [45]
1 year ago
14

Please help with these problems having trouble!!

Mathematics
1 answer:
77julia77 [94]1 year ago
4 0

The function f(x) is vertically compressed to form g(x) while the function f(x) is vertically compressed and then reflected across the x-axis to form h(x)

<h3>How to compare both functions?</h3>

The functions are given as

f(x) =x^2

g(x) =3x^2

h(x) = -3x^2

Substitute f(x) =x^2 in g(x) =3x^2 and h(x) = -3x^2

g(x) =3f(x)

h(x) = -3f(x)

This means that the function f(x) is vertically compressed to form g(x)

Also, the function f(x) is vertically compressed and then reflected across the x-axis to form h(x)

See attachment for the functions g(x) and h(x)

Also, functions f(x) and g(x) have the same domain and range

While functions f(x) and h(x) have the same domain but different range

The complete table is:

x      -2    -1    0   1    2

g(x)  12    3    0    3   12

h(x)  -12    -3    0    -3   -12

Read more about function transformation at:

brainly.com/question/13810353

#SPJ1

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Answer:

The system of equation used to find the Total number of flash cards made are \left \{ {{5x+5} \atop {6x}} \right..

In <u>5 minutes</u>, each student will have <u>30</u> flash cards.

Step-by-step explanation:

Given:

Number of flash cards already made by Tristan = 5

Number of flash card Tristan makes in 1 min = 5

Number of flash card Josh makes in 1 min = 6

We need to find the How long will Josh have same number of flashcards.

Also We need to find how many flashcards will each student have at that point.

Solution:

Let the number of minutes be'x'.

Now we can say that;

Total number of flash cards made by Tristan is equal to Number of flash cards already made by Tristan plus Number of flash card Tristan makes in 1 min multiplied by number of minutes.

framing in equation form we get;

Total number of flash cards made by Tristan = 5+5x

Also We can say that;

Total number of flash cards made by Josh is equal Number of flash card Josh makes in 1 min multiplied by number of minutes.

framing in equation form we get;

Total number of flash cards made by Josh = 6x

Hence the system of equation used to find the Total number of flash cards made are \left \{ {{5x+5} \atop {6x}} \right..

Now to find the number of minutes when both would have same number of flash cards we will make both the equation equal.

so we get;

5+5x=6x

On solving we get;

Combining like terms we get;

6x-5x=5\\\\x=5\ mins

Hence It would take 5 minutes when both will have same number of flash cards.

To find the number of flash cards each would had at that time we will substitute value of x=5 in the system of equations.

so we get;

number of flash cards made by Tristan = 5x+5 = 5\times5+5=25+5=30

number of flash cards made by Josh = 6x =6\times 5 =30

Hence In <u>5 minutes</u>, each student will have <u>30</u> flash cards.

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Read 2 more answers
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