Alexandra scored 40 on an exam, receiving 3 points for each right answer and losing 1 point for each wrong answer. Had 4 points been given for each right answer and 2 points deducted for each wrong answer, Alexandra would have scored 50. How many questions were on the exam

there were 20 questions in the exam.

Step-by-step explanation:

Let x represent the number of right answers.

Let y represent the number of wrong answers.

Alexandra scored 40 on an exam, receiving 3 points for each right answer and losing 1 point for each wrong answer. It means that

3x - y = 40- - - - - - - - - - 1

Had 4 points been given for each right answer and 2 points deducted for each wrong answer, Alexandra would have scored 50. It means that

4x - 2y = 50- - - - - - - - - - -2

Multiplying equation 1 by 2 and equation 2 by 1, it becomes

6x - 2y = 80

4x - 2y = 50

Subtracting both equations, it becomes

2x = 30

x = 30/2

x = 15

Substituting x = 15 into equation 1, it becomes

3 × 15 - y = 40

45 - y = 40

y = 45 - 40

y = 5

The number of questions in the exam is

x + y = 15 + 5 = 20

the correct functions are

h(x) = 3x + 2  

g(x) = 2^x

step-by-step explanation:

i proceed to calculate the different values ​​of k (x)

case 1)  k(x) = g(x) ∘ h(x)

g(x) ∘ h(x)=g(h(x))

k(x) = [2]^[3x + > is the option  4. k(x) = 2^(3x + 2 )

case 2)  k(x) = g(x) + h(x)

k(x) = [2^x]+[3x + 2]=2^x+3x+> is the option  1.) k(x) = 2^x + 3x + 2

case 3)k(x) = h(x) ÷ g(x)

k(x) =  [3x + 2]/[2^x]=3x/(2^x)+2/(2^x)=3x*(2^-x)+2^(1-x)

is the option  3.)   k(x) = (3x)2^(-x) + 2^(-x + 1 )

case 4)k(x) = g(x) - h(x)

k(x) =  [2^x]-[3x + 2]=2^x-3x-> is the option  2.) k(x) = 2^x - 3x - 2 

case 5)  k(x) = g(x) × h(x)

k(x) = [2^x]*[3x + > is the option  5.) k(x) = 2^x(3x + 2)

case 6)k(x) = h(x) ∘ g(x)

h(x) ∘ g(x)=h(g(x))

k(x)=3*[2^x]+> is the option  6. k(x) = 3(2^x) +2

x> 6

step-by-step explanation:

8x+8> 7x+14

8x-7x> 14-8

x> 6