What are the x-intercepts of y=x^2+2x-15
1 answer:
Answer:
and
Step-by-step explanation:
Think about it.
What two numbers multiply to -15 and add up to 2?
The answers are 5 and -3.
So plug that into the factored form of a parabola.
To find the x-intercepts, plug in 0 for .
Since we are multiplying, at least one of the terms has to equal 0.
So the x-intercepts are and
.
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Answer:
a) $40920
b) $38500
Step-by-step explanation:
Given:
5 employees,
Mean = $40300
Median = $38500
Min = $32000
If he lowest paid employee gets a $3100 raise, then his salary becomes
$32000+$3100=$35100
a) If the mean was $40300, then the sum of 5 salaries is
After raising the lowest salary the sum becomes
and new mean is
b) The lowest salary becomes $35100. It is still smaller than the median, so the new median is the same as the old one.
New median = $38500
Answer:
The area of the rectangle is increasing at a rate of 84 square centimeters per second.
Step-by-step explanation:
The area for a rectangle is given by the formula:
Where <em>w</em> is the width and <em>l</em> is the length.
We are given that the length of the rectangle is increasing at a rate of 6 cm/s and that the width is increasing at a rate of 5 cm/s. In other words, dl/dt = 6 and dw/dt = 5.
First, differentiate the equation with respect to <em>t</em>, where <em>w</em> and <em>l</em> are both functions of <em>t: </em>
By the Product Rule:
Since we know that dl/dt = 6 and that dw/dt = 5:
We want to find the rate at which the area is increasing when the length is 12 cm and the width is 4 cm. Substitute:
The area of the rectangle is increasing at a rate of 84 square centimeters per second.