First of all, we compute the points of interest, i.e. the points where the curve cuts the x axis: since the expression is already factored, we have
Which means that the roots are
Next, we can expand the function definition:
In this form, it is much easier to compute the derivative:
If we evaluate the derivative in the points of interest, we have
This means that we are looking for the equations of three lines, of which we know a point and the slope. The equation
is what we need. The three lines are:
This is the tangent at x = -2
This is the tangent at x = 0
This is the tangent at x = 1
y + (2x -12) = 180 (since they are supplementary angles)
(2x-12) = 96 ( since they are alternate exterior angle)
2x = 96 + 12
2x = 108
x = 108/2
x = 54.
y+( 2x-12)=180
y+(2× 54 -12) = 180
y + (108-12) = 180
y + 96 = 180
y= 180-96
y = 84.
Answer: 6 dogs
Step-by-step explanation:
If 100 treats will feed 15 dogs, then that means that the number of treats that each dog requires is:
= 100/15
= 6.67 treats
If 6.67 treats will feed one dog then the number of dogs that will be fed by 40 is:
= 40 / 6.67
= 6 dogs
Answer:
$618.80
Step-by-step explanation:
If the tablet is on sale for 15% off, you pay 85% of the original price.
85% of $700 is
700(0.85) = $595
You pay 4% sales tax on $595, which is
$595(0.04) = $23.80
The total cost you pay is $595 + $23.80 = $618.80
