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Romashka-Z-Leto [24]
3 years ago
11

Given the following functions f(x) and g(x), solve (f + g)(3) and select the correct answer below:

Mathematics
2 answers:
kati45 [8]3 years ago
8 0
(f+g)(3) = f(3) + g(3) = 6(3) + 3 + 3 -7 = 18 +6 -7 = 17.

Answer: 17
Ann [662]3 years ago
3 0

Answer:

Option B is correct

(f+g)(3) = 17

Step-by-step explanation:

Given the functions:

f(x) = 6x+3

g(x) = x-7

Solve: (f+g)(3)

First do:

(f+g)(x) = f(x)+g(x)

Substitute the given values we have;

(f+g)(x) = 6x+3+x-7 = 7x-4

Put x = 3 above we have;

(f+g)(3) = 7(3)-4 = 21-4=17

Therefore, the value of (f+g)(3) is 17

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Of the 100 entries in a costume contest, 39 entrants were dressed as heroes and 45 entrants were wearing a mask. If 21 entrants
ehidna [41]

Correct question with correct options has been attached

Answer:

37

Step-by-step explanation:

Let C represent those dressed as heroes and let B represent those wearing mask

Thus;

n(C) = 39

n(D) = 45

We are told that 21 entrants were dressed as heroes wearing a mask.

Thus; n(C n D) = 21

We are also told that there were a total of 100 entries.

Thus, n(T) = 100

Now, number of entrants neither dressed as heroes nor wearing a mask is given by;

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n(C u D) = n(C) + n(D) - n(C n D)

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n(C u D) = 63

Thus;number of entrants neither dressed as heroes nor wearing a mask is: 100 - 63 = 37

3 0
3 years ago
use the elimination method to solve the system of equations choose the correct ordered pair 7x+4y=39 2y+4y=14
Anvisha [2.4K]

x = 5 \: and \: y = 1.

Step-by-step explanation:

7x + 4y = 39 \:  -  {eq}^{n} (1)

2x + 4y = 14  \: \:  -  {eq}^{n} (2)

Multiply Equation no (1) with 2 and Equation no (2) with 7.

14 x + 8y = 78.

14x + 28y = 98.

( - ) \: \:  \:  ( - ) \:  \:  \: ( - )

0x +  -20y =  - 20

- 20y =  - 20

y =  \frac{ - 20}{ - 20}

y = 1

Substitute the value of "y" in Equation no (1)

7x + 4y = 39.

7x + 4(1) = 39.

7x + 4 = 39.

7x = 39 - 4

7x = 35.

x =  \frac{35}{7}

x = 5.

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3 years ago
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irakobra [83]
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11111nata11111 [884]

Step-by-step explanation:

=n2-11n+18

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