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Elena-2011 [213]
2 years ago
15

Find two positive numbers whose difference is 9 and whose product is 2950.

Mathematics
1 answer:
Naddika [18.5K]2 years ago
5 0

The two positive numbers whose difference is 9 and whose product is 2950 are 50 and 59

<h3>How to determine the positive numbers?</h3>

As a general rule, it should be noted that positive numbers are numbers that have their value greater than 0

So, we start by representing the two positive numbers with x and y.

So, we have the following equations

x - y = 9

xy = 2950

Make x the subject in the first equation x - y = 9

x = y + 9

Substitute y + 9 for x in the second equation

(y + 9) * y = 2950

Expand the equation

y^2 + 9y - 2950 = 0

Using a graphing tool, we  have the solution of the above equation to be

y = 50

Recall that:

x = 9 + y

So, we have:

x = 9 + 50

Evaluate

x = 59

Hence, the two positive numbers whose difference is 9 and whose product is 2950 are 50 and 59

Read more about positive numbers at:

brainly.com/question/1782403

#SPJ1

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I really need help! I'm stuck.
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y-axis = altitude in feet

x-axis = minutes

slope = y/x = feet/minute


According to above data, we know that 1800 feet is y-intercept and slope is -300 feet per minute (why slope is negative? because its approaching ground at a constant speed)

a. slope = -300

  y-intercept = 1800


b. y = -300 x + 1800


c. Here we are given x = 2 minutes

y = -300(2) + 1800

y = -600 + 1800

y = 1200

The balloon will be 1200 feet high above the ground in 2 minutes.


d. Here we are given 300 feet which is y, and find x minutes.

y = -300 x + 1800

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1500 = 300 x

x = 1500 / 300

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The balloon will reach 300 feet above the ground in 5 minutes.


e. It asking when the balloon will reach the ground, if the balloon reaches the ground than the height will be 0, therefore x-intercept (y=0).

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The balloon will reach the ground in 6 minutes.


<em>//Hope this helps</em>

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