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vichka [17]
3 years ago
12

Please answer please please answer

Mathematics
1 answer:
cestrela7 [59]3 years ago
3 0

Answer:

c

Step-by-step explanation:

i could be wrong sorry in advance if it is i am not 100 percent sure

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Drag the expressions to the correct functions. Not all expressions will be used.
postnew [5]

The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)).

Let the functions be f(x) = 4x² + 1 and g(x) = x² - 3

The correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and

(g o f)(x) = 16x⁴ + 8x² - 2.

<h3>What is composition function?</h3>

The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)). In this operation, the function g exists used for the outcome of applying the function f to x.

Given:

f(x) = 4x² + 1 and g(x) = x² - 3

a) (f o g)(x) = f[g(x)]

f[g(x)] = 4(x² - 3)² + 1

substitute the value of g(x) in the above equation, and we get

    = 4(x⁴ - 24x + 9) + 1

simplifying the above equation

    = 4x⁴ - 96x + 36 + 1

    = 4x⁴ - 96x + 37

(f o g)(x) = 4x⁴ - 96x + 37

b) (g o f)(x) = g[f(x)]

substitute the value of g(x) in the above equation, and we get

g[f(x)] = (4x² + 1)²- 3

      = 16x⁴ + 8x² + 1 - 3

simplifying the above equation

      = 16x⁴ + 8x² - 2

(g o f)(x) = 16x⁴ + 8x² - 2.

Therefore, the correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and

(g o f)(x) = 16x⁴ + 8x² - 2.

To learn more about the function refer to:

brainly.com/question/26709985

#SPJ9

7 0
2 years ago
At homecoming, 125 tickets where sold. Tickets purchased for homecoming cost $20.5 without an activity card, and $15.75 with an
ale4655 [162]

Answer:

Nearly 83 students did not had activity card.

Nearly 42 students had an activity card.

Step-by-step explanation:

Total number of tickets sold at homecoming = 125

Cost of each  ticket without activity card = $20.5

Cost of each  ticket with activity card = $15.75

Total amount earned  = $2365

Let, the number of tickets sold without activity car d  = k

So, the number of tickets sold without card = (Total sold - k)

                                                                          = 125 - k

Now, according to the question:

$20.5(k) + $15.75(125 - k)  =  $2365

or, 20.5 k + 1968.5 - 15.75 k = 2365

⇒ 4.75 k = 2365 - 1968.5 = 396.5

⇒ k = \frac{396.5}{4.75 }  = 83.47

Hence, nearly 83 students did not had activity card.

So,the number of students that had activity card = 125 - 83.47 = 41.53 ~  42

Hence, nearly 42 students had an activity card.

4 0
3 years ago
Emily wants to watch her intake of fat per day.
AfilCa [17]

Answer:

One variable equation that is (4800/x) represents percentage of Emily's dinner fat intake compared to total daily allowance of x gram.

Step-by-step explanation:

lets assume the variable for total daily allowance

lets say total daily allowance of fat = x grams

Fat consumed at dinner = 48 grams

Fat consumed at dinner in percentage = (Fat consumed at dinner/total daily allowance of fat) × 100

= (48 grams/x grams)×100=(4800/x)%

so (4800/x)%  

So one variable equation that is (4800/x) represents percentage of Emily's dinner fat intake compared to total daily allowance of x gram.

lets take one example

lets says total daily allowance of fat for Emily = 100gm

so from derived equation that is 4800/x , we can get required percentage by putting x =  total daily allowance of fat = 100gm

=4800/100 = 48%.

you can change value of variable x according to total daily allowance and get the required dinner intake percentage by equation 4800/x.


6 0
3 years ago
Can anyone help me please? <br> I’ll mark you as a brainliest
Yuki888 [10]

Answer:

A

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Please answer seriously!!
Sedaia [141]

Answer:

27. chord

28. radius

29. diameter

30. secant

31. tangent

32. secant

Step-by-step explanation:

I guess thats the correct answer

6 0
2 years ago
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