An exam worth 468 points contains 68 questions. some questions are worth 8 points, and
the others are worth 6 points. how many 8 point and 6 point questions are on the test?

30 questions of 8 points     38 of 6 points

Step-by-step explanation:

e = questions worth 8 points

s= questions worth 6 points

e+s = 68     s = 68-e

8*e + 6( 68-e) = 468

8e +408 - 6e = 468

2e +408 = 468

2e = 60

e = 30         30 questions worth 8 points

68-30 = 38           38 questions worth 6 points

\38 questions 6 points

30 questions 8 points

Step-by-step explanation:

I will call 6 points question is a

I will call 8 points question is b

We know that:

a + b = 68 (1)

6a + 8b = 468 (2)

Multiply the (1) by 6 we got

6a + 6b = 408 (3)

Use (3) minus for (2), we got

0 - 2b = -60

-2b = -60

2b = 60

b = 30

so a would = 68 - 30 = 38

So there would be 38 questions 6 points

30 questions 8 points

Hope this help :3

2

step-by-step explanation:

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3