Answer:
The derivative of the function does not exist.
Step-by-step explanation:
The alternative form of a derivative is given by:
Our function is defined as:
h(x)=|x+8|
i.e. h(x)= -(x+8) when x+8<0
and x+8 when x+8≥0
i.e. h(x)= -x-8 when x<-8
and x+8 when x≥-8
Hence now we find the derivative of the function at c=-8
i.e. we need to find the Left hand derivative (L.H.D.) and Right hand derivative (R.H.D) of the function.
The L.H.D at a point 'a' is calculated as:
Similarly R.H.D is given by:
Now for L.H.D we have to use the function h(x) =-x-8
and for R.H.D. we have to use the function h(x)=x+8
L.H.D.
we have a=-8
=
similarly for R.H.D.
Now as L.H.D≠R.H.D.
Hence, the function is not differentiable.
To find her profit you have to subtract $5.25 from $13.00. Then you will get $7.75 as her profit
They sold 1620 units in total during the busiest month. Due to this, the highest month for coat sales is 450% of the lowest month. They sell 360 units in the month with the lowest sales.
<h3>What is equation?</h3>
When two expressions are connected with the equals sign (=) in a mathematical formula, it expresses the equality of the two expressions.
Let x represent the largest number of jackets sold during the busiest month.
So, x= 450% of 360
⇒x=4.5 × 360
⇒x=1,620
So, 1620 units total were sold by them during the busiest month.
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Gradient= -3/2 Equation: Y=mx+c Y=2 , X=8
So you substitute the numbers in
2=(-3/2) x 2 + c (then you backtrack to solve for c which is the y intercept)
2=-3+c
5=c So the equation should be Y=-3/2x+5