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Igoryamba
3 years ago
13

Assume f(x)=-2x+8 and g(x)=3x. what is the value of (g o f)(3)

Mathematics
1 answer:
Olin [163]3 years ago
7 0

Answer:

6

Step-by-step explanation:

(g o f)(3) = g(f(3))

We can find f(3) using its formula with x=3:

f(3) = -2·3 +8 = -6 +8 = 2

Now, we can find g(2) using its formula with x=2:

g(2) = 3·2 = 6

So, the composition value is ...

(g o f)(3) = 6

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Susan ate 1 5/6 cups of popcorn on Monday night. She at 2 3/4 of popcorn on Thursday night. How many cups of popcorn did Susan e
Shtirlitz [24]

Answer: 4 7/12 cups of popcorn

Step-by-step explanation:

5 0
3 years ago
What is the greatest common factor of 12 and 18?<br> A. 2 B. 6 C. 4 D. 12
S_A_V [24]

Answer:

B. 6

Step-by-step explanation:

D. 12 cant be multiplied to get 18

C. 4 cant be multiplied to get 18

A. 2 is a common factor of 12 and 18 but not the greatest.

B. 6 times 2 is 12 and 6 times 3 is 18 so 6 is the greatest common factor.

4 0
2 years ago
Read 2 more answers
The probability that a student has a Visa card (event V) is .63. The probability that a student has a MasterCard (event M) is .1
Aleksandr-060686 [28]

Answer:

a)  The probability that a student has either a Visa card or a MasterCard is 0.71.  

b) V and M are not independent.

Step-by-step explanation:

Given : The probability that a student has a Visa card (event V) is 0.63. The probability that a student has a MasterCard (event M) is 0.11. The probability that a student has both cards is 0.03.

To find :

a) The probability that a student has either a Visa card or a MasterCard ?

b)  In this problem, are V and M independent ?

Solution :

The probability that a student has a visa card(event V) is P(V)= 0.63

The probability that a student has a MasterCard (event M) is P(M)= 0.11

The probability that a student has both cards  is P(V \cap M)=0.03

a) Probability that a student has either a Visa card or a Master Card is given by,

P(V \cup M) = P(V) + P(M) - P(V\cap M)

P(V \cup M) = 0.63+ 0.11- 0.03

P(V \cup M) =0.74- 0.03

P(V \cup M) =0.71

The probability that a student has either a Visa card or a MasterCard is 0.71.

b) Two events, A and B, are independent if P(A\cap B)=P(A)P(B)

For V and M to be independent the condition is satisfied,

P(V\cap M)=P(V)P(M)

Substitute the values,

0.03=0.63\times 0.11

0.03\neq 0.0693

So, V and M are not independent.

6 0
3 years ago
Need help please anyone
Dafna11 [192]

Answer:

70°

Step-by-step explanation:

The minor angle of AB forms a straight line with angle x. When summed up it equals 180°.

minor angle of AB + x° = 180°

110° + x° = 180°

x° = 180° - 110°

= 70°

Enjoy!!!

5 0
3 years ago
Enter the equation of the line in slope-intercept form. The line parallel to y = 7 6 x + 6 that passes through (−6, 0). The equa
Neko [114]
Attached solution with steps.

3 0
3 years ago
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