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Murljashka [212]
3 years ago
7

The difference between two positive integers is 4. If the smaller is added to the square of the larger, the sum is 52. Find the

integers.
Mathematics
2 answers:
olasank [31]3 years ago
5 0

Answer:

7 and 3

Step-by-step explanation:

We will let x equal the larger one

y will be the smaller one

We can write the two equations

x-y=4

y+x²=52

We will solve this through substitution

we will take the first equation and add y to moth sides

x=4+y

we then substitute this into our second equation

y+(4+y)²=52

distribute the square

y+8y+y²+16=52

y²+9y-36=0

Factor this

(y-3)(y+12)=0

Which means that y is either 3 or -12 but because it said that both numbers are positive we can reject the negative 12 (which means that y is 3)

Plug in y=3 into our first equation

x-3=4

x=7

Rufina [12.5K]3 years ago
4 0

Answer:

The integers are 7 and 3

Step-by-step explanation:

if you put x as smaller number and y as bigger number you can write two equations:

x+y^2=52 and y-4=x

In the first polynomial, y can either equal 7 or -8, but the number has to be positive, so it's 7

y-4 to get x, plug 7 in and you get x=3

y=7 and x=3

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Answer:

The last dose will be administered at 6 P.M.

Step-by-step explanation:

This problem can be solved by direct rule of three.

The problem states that each tablet has 75mg of medication, and that every 3 hours, 2 tablets are administered.

So

1 tablet - 75mg of medication

2 tabets - xmg of medication

x = 150mg

It means that in each dose, 150mg of medication are administed.

At 6am, as the first dose is administered, the patient will have taken 150mg of medication. In how many doses will the patient have been administed 750mg?

1 dose - 150mg

x doses - 750mg

150x = 750

x = 5 doses.

The doses are administed in intervals of 3 hours. After the first dose, there will be 4 doses remaining. So it will take 4*3 = 12 hours to administer 4 doses.

So, if the first dose is administed at 6am, the last is going to be administed at 6h+12h = 18h = 6P.M.

5 0
3 years ago
I NEED HELP ASAP WITH THIS QUESTION.
GalinKa [24]

Answer:

a.) equivilent to;     4 x 7x - 4 x 6         and         28x-24

b.) equivilent to;     8y + 13y          and            21y

Step-by-step explanation:

A.)

4(7x-6)     First you have to multiply everything in the parenthesis by 4 because of distribution

7x x 4 - 6 x 4                That is why it is equivilent to the  4 x 7x - 4 x 6  awnser

28x - 24                    That is the end result by simplifiying and show why it is equivient to 28x-24

B.)

8y+6y+7y                 Simplify the like terms

8y+13y                   6+7 is 13 so that is why it is eauals to 8y+13y

21y                       if you continue adding you see why it equals 21y

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Find the x- and y-intercepts of<br> 3x – 4y = 24
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6 0
3 years ago
Five less than p is 13
34kurt

Answer: P = 18

Step-by-step explanation:

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Add five to both sides

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