The answer is D, f(x) = (x + 3)^2 - 1
Answer:
The correct answer by solving with the System of Inequalities is ![-4\leq x](https://tex.z-dn.net/?f=-4%5Cleq%20x%3C4)
Step-by-step explanation:
Answer:
15 Square Inches
Step-by-step explanation:
Volume of the cone=40 cubic inches
Height of the cone=8 Inches
<u>Step 1:</u> Applying the formula for the volume of a cone
Volume of a Cone![=\frac{1}{3}\pi r^2 h=\frac{1}{3} X $Base Area X Height](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2%20h%3D%5Cfrac%7B1%7D%7B3%7D%20X%20%24Base%20Area%20X%20Height)
<u>Step 2:</u> Substituting values for the variables
![40=\frac{1}{3} X $Base Area X 8](https://tex.z-dn.net/?f=40%3D%5Cfrac%7B1%7D%7B3%7D%20X%20%24Base%20Area%20X%208)
<u>Step 3:</u> Simplifying the right side
![40=\frac{8}{3} X $Base Area](https://tex.z-dn.net/?f=40%3D%5Cfrac%7B8%7D%7B3%7D%20X%20%24Base%20Area)
<u>Step 4:</u> Multiplying by the reciprocal
![40X\frac{3}{8}=\frac{8}{3} X\frac{3}{8} X $Base Area\\](https://tex.z-dn.net/?f=40X%5Cfrac%7B3%7D%7B8%7D%3D%5Cfrac%7B8%7D%7B3%7D%20X%5Cfrac%7B3%7D%7B8%7D%20X%20%24Base%20Area%5C%5C)
<u>Therefore, Base Area of the Cone=15 Square Inches</u>
<u />
Answer: A. S(t)= 1000 + 0.63t + 0.48t - 17t
B. S(t)= 984.11
Step-by-step explanation:
First, we should divide 282 by 3.75, because this will give us how many minutes it would take to fill the hot-tub.
This yields a result of 75.2. Now, we should convert that to hours by dividing it by 60 (to represent minutes).
When we do this, we will see that it takes 1.2533... hours to fill up, or easier represented as 1.25 hours. It could also be represented as 1 hour and 15 minutes.