Can I please get help on my assignment!
1 answer:
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Answer:
- y = 3 | x + 2 | - 5
Step-by-step explanation:
<u>The absolute value function is:</u>
- y = | x |
<u>Step 1. Function is vertically stretched by a factor of 3:</u>
- y = 3 * | x |
<u>Step 2. Shifted two units left:</u>
- y = 3 | x + 2 |
<u>Step 3. Shifted 5 units down:</u>
- y = 3 | x + 2 | - 5
<em>See attached</em>
<em>Steps are </em><em>Black → Blue → Green → Red</em>
You're looking for the volume of the prism. The dead giveaway there is that you're looking for "cubic" measurement. Cubic measures are indicators that the volume is being determined, just like "square feet" or inches, etc indicates area is being determined. The volume for this prism is found by multiplying the length times the width times the height. In decimal form, 45×30×40=54,000. But that is in cubic inches and we want cubic feet. So we will use dimensional analysis to convert that. Setting up the DA looks like this, keeping in mind that there are 12 cubic inches in 1 cubic foot: 
. The label of cubic inches cancels out leaving us with cubic feet, and doing the division there gives us 54,000/(12*12*12) which is 31.25 cubic feet.