Answer:
<h2>B. 3√5</h2>Step-by-step explanation:
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I NEED HELP PLEASE! ASAP PLEASE! Solve the problem. m + 7 > 13 m >
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Answer:
An equation in the slope-intercept form will be:
- y = 15x+210
Step-by-step explanation:
We know The slope-intercept form of the line equation
where
- m is the rate of change or slope
- b is the y-intercept
Let x represent the time in months
Let y represent the amount of money remaining in the account.
Given that every month Monica withdraws $15 from this account for her contact lenses
Thus, the rate of change or slope = m = 15
Given that after 3 months she has $255 left in her account.
So, we take the point (3, 255)
substituting m = 15, x = 3 and y = 255 in the slope-intercept form to determine the y-intercept
y = mx+b
255 = 15(3) + b
switch sides
15(3) + b = 255
45 + b = 255
b = 255 - 45
b = 210
Now, substituting m = 15 and b = 210 in the slope-intercept form of the line equation
y = mx+b
y = 15x+210
Therefore, an equation in the slope-intercept form will be:
- y = 15x+210
The given equation is quadratic and nature of roots of quadratic equation are dependant on its discriminant. Writing the equation in standard form:
Finding the discriminant:
The roots of a quadratic equation are real and distinct if the value of its discriminant is greater than 0.
If we observe the value of discriminant, it is a sum of two terms in this case. The first term is square of (5h), which will always be a positive term or zero if h is zero. The second term is 24k. The value of 24k will always be positive for positive values of k.
Thus for positive values of k, the discriminant of given equation is always positive and thus we can say the root of given equation will always be real and distinct for positive values of k.
Finding the discriminant:
The roots of a quadratic equation are real and distinct if the value of its discriminant is greater than 0.
If we observe the value of discriminant, it is a sum of two terms in this case. The first term is square of (5h), which will always be a positive term or zero if h is zero. The second term is 24k. The value of 24k will always be positive for positive values of k.
Thus for positive values of k, the discriminant of given equation is always positive and thus we can say the root of given equation will always be real and distinct for positive values of k.