Here, we are required to write and solve an inequality to find the prices p of coats that the shopper can afford.
- The in equality is; 175 < p ≤ $430
- The solution of the inequality is; p = { range of values greater than $175 up until $430}
According to the question; the value of price, p of coats the shopper can afford is greater than $175.
- p > 175 can be translated as 175 < p
Also, the shopper has $430 to spend on a winter coat; As such, p ≤ $430.
The two inequalities can therefore be combined to yield a single inequality thus;
175 < p ≤ $430
To solve the inequality, the solution for prices of coat, p that the shopper can afford ranges between;
p = { <em>range of values greater than $175 up until $430}</em>
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Answer:
-5x-1
Step-by-step explanation:
The radius of the circle is 7 which is r in the eq.
put 7 instead of r in the volume of sphere formula.
Then multiply all sides of square which will be 12 x 12 x 12 = 1728
Now add the values from both shapes
1728 + 1436.75
Your answer will be 3163.5 cm(cubed)
S=50x-x^2
dS/dx=50-2x
d2S/dx2=-2
Since acceleration is a constant negative, when velocity equals zero, it is at the absolute maximum point for S(x)...
dS/dx=0 only when 50-2x=0, 2x=50, x=25
So the price that will maximize income is $25.00 a seat.
And that maximum income is:
S(25)=50x-x^2
S(25)=$625.00