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dybincka [34]
3 years ago
13

Let f(x) = 3x +5 and g(x) = -4x +7. Find (fog)(-4)

Mathematics
1 answer:
sesenic [268]3 years ago
7 0
(fog)(x)=f(g(x))

f(g(x))=3(-4x+7)+5
f(g(-4))=3(-4(4)+7)+5=3(-16+7)+5=3(-9)+5=-27+5=-22


(fog)(-4)=-22
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Solve for x show all your work. 10x + 15 = 5x - 10​
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Answer:

x=-5

Step-by-step explanation:

10x + 15 = 5x-10

-5x            -5x

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7 0
3 years ago
A school debate team has four girls and six boys. A total of four of the team members will be chosen to participate in the distr
alex41 [277]
Procedure:

1) calculate the number of diferent teams of four members that can be formed (with the ten persons)
2) calculate the number of teams tha meet the specification (two girls and two boys)
3) Divide the positive events by the total number of events: this is the result of 2) by the result in 1)

Solution

1) the number of teams of four members that can be formed are:

10*9*8*7 / (4*3*2*1) = 210

2) Number of different teams with 2 boys and 2 girls = ways of chosing 2 boys * ways of chosing 2 girls

Ways of chosing 2 boys = 6*5/2 = 15
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Number of different teams with 2 boys and 2 girls = 15 * 6 = 90

3) probability of choosing one of the 90 teams formed by 2 boys and 2 girls:

90/210 = 3/7
 
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3 years ago
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Answer:

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