Find two positive numbers whose difference is 8 and whose product is 1505.
1 answer:
Answer:
The two positive numbers are 35 and 43.
Step-by-step explanation:
Let the two positive numbers be x and x + 8.
It is given that their product is 1505.
Therefore, x(x + 8) = 1505
x(x + 43) - 35(x + 43) = 0
(x + 43)(x - 35) = 0
x = -43, x = 35
Since, the numbers are positive, x = 35 is only valid.
The other number is x + 8 = 35 + 8 = 43.
Hence, the required positive numbers are 35 and 43.
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Answer:
The rate of change or slope m = -50
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the rate of change or slope
- b is the y-intercept
Given that there is $500 in Holly's bank account.
Thus, the y-intercept b = 500
It is stated that she takes out $50 from her account each month but doesn't put money back in.
It means the rate of change or slope is decreasing.
Thus, the rate of change or slope m = -50
<u>EXTRA BONUS!</u>
We can also determine the line equation by substituting m = -50 and b = 500 in the slope-intercept form
y = -50x + 500
Here:
The slope m = -50
The y-intercept = 500