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Tatiana [17]
3 years ago
14

The product of two consecutive positive integers is 19 more than their sum. Find the integers.

Mathematics
1 answer:
strojnjashka [21]3 years ago
6 0
The crucial part of the wording of the problem tells us that the two integers are consecutive. So, let's call the first term x. Then the other term must be x + 1 since it comes right after it and is an integer. Now we can solve:

x(x + 1) = x  + (x + 1) + 19

x^2 + x = 2x + 20

x^2 - x - 20 = 0

Now we factor:

(x - 5)(x + 4) = 0

This means x either equals 5 or x = -4 to satisfy the above equation. We know that x is positive from the question itself, so x must be 5. The number consecutively after it then must be 6.
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2 years ago
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Distributive property Use the distributive property to remove the parentheses .{y+10}12=
malfutka [58]

Answer:

12y + 120

Step-by-step explanation:

<u>First of, what is the distributive property?</u>

The distributive property is the property that helps distribute numbers under the parenthesis.

For example, lets use {x+1}4. You distribute the 4 towards the x and the one like this:

4(x) + 1(4)

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Now, let's go back to your problem

<u>Solution:</u>

{y+10}12

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= 12y + 120

<em>Hope this helps! Make sure to give me the brainliest answer since it would be greatly appreciated! Thank You! </em>

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2 years ago
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Evaluate ab + c for a = 2, b = 3, and c = 4.<br><br> 9<br><br> 10<br><br> 27
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To evaluate ab+c, we will plug given values as shown below

ab+c

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