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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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The decimal multiplier to decrease by 30 is .7
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AYUDAAAAAAAAA JAJAJA
il63 [147K]

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5,7,8

Step-by-step explanation:

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The wind speed near the center of a tornado is represented by the equation S=93logd+65, where d is the distance, in miles, that
dezoksy [38]

Answer:

Therefore,

Wind speed of a Tornado when it travels 4 miles is 121.0 miles per hour.

Step-by-step explanation:

Given:

The wind speed near the center of a tornado is represented by the equation,

S=93\log d+65

Where,

d =  the distance, in miles

S = the wind speed, in miles per hour.

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4 0
3 years ago
What is the decimal multiplier to decrease by 72%?
mixer [17]

Answer:

0.28

Step-by-step explanation:

Given in question that,we have to decrease by 72%.that means from 100% of total, 72% should be decreased. that means an overall of 28% will be left. so if you make a number into 28% of it, it implies that you have decreased that number by 72%.so from this,we can say that we have to make the number 28%.that means we have to multiply the number with 28/100 which is equal to 0.28.

4 0
3 years ago
Read 2 more answers
The function j(x)=39x represents the number of jumping jacks j(x) you can do in x minutes. How many jumping jacks can you do in
statuscvo [17]
The function j(x)=39x is the number of jumping jacks you can do in x minutes how many can you do in 5 minutes'?

This is asking you to evaluate the function when x is 5...so all you do here is substitute 5 for x and simplify.. since the question defines "x" as the number of minutes...and j(x) represents the number of jumping jacks.


j(x) = 39x

j(5) = 39(5)

j(5) = 195 <--- answer...


So you do 195 jumping jacks in 5 minutes

I really hope this helps :)
5 0
3 years ago
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