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Yanka [14]
3 years ago
9

What two numbers multiply to 5 and add up to -6

Mathematics
1 answer:
mart [117]3 years ago
6 0

Answer: -5 and -1

Step-by-step explanation:

-5 * -1 = 5

-5 + -1 = -5 -1 = -6

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An instructor wants to write a test with 25 questions where each question is worth 3, 4, or 5 points based on difficulty. He wan
irakobra [83]

ANSWER

Find out the how many 3, 4, and 5 point questions could there be.

To proof

Let us assume that the 3 points based question be = x

Let us assume that the 4 points based question be = y

Let us assume that the 5 points based question be = z

As given

An instructor wants to write a test with 25 questions

than the equation become in the form

x + y + z = 25

he quiz to be worth a total of 100 points.

than the equation is becomes

3x + 4y + 5z =100

As given

He wants the number of 3-point questions to be 4 less than the number of 4-point questions

x = y -4

Than the three equation are

x + y + z = 25 ,3x + 4y + 5z =100 and x = y -4

put  x = y -4 in the x + y + z = 25 ,3x + 4y + 5z =100

than

2y + z = 29, 7y +5z= 112

multiply 2y + z = 29 by 5 and subtracted 7y +5z= 112

10 y -7y + 5y -5y = 145 -112

3y = 33

y = \frac{33}{3}

y =11

put in the  x = y -4

x = 11-4

x= 7

put the value of x ,y in the x + y + z = 25

7 + 11 +z =25

18 +z = 25

z = 25 -18

z=7

therefore

numbers of the 3 point question be = 7

numbers of the 4 point question be = 11

numbers of the 5 point question be = 7

Hence proved



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Answer:

John's and Amber's wages are proportional to time. John's unit rate it $9 per hour. Amber's unit rate is $8 per hour

Step-by-step explanation:

The table(johns) shows this because he earns $9 more for every extra hour he works. this makes the unit rate $9 an hour.

The graph(ambers) shows that her pay increases at a steady rate, hitting a multiple of 8 every hour. This makes the unit rate $8 an hour.

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