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Gnoma [55]
3 years ago
7

Cindy uses 1-inch cubes to find the volume of a jewelry box shaped like a rectangular prism. She uses 780 cubes to completely fi

ll the jewelry box with no gaps or overlaps. If the jewelry box is 13 inches long and 5 inches wide, how tall is Cindy’s jewelry box?
Mathematics
1 answer:
vladimir1956 [14]3 years ago
8 0
Her box is 12 inches tall.
-Because if you multiply 13 × 5, you get 65 (this is the base) then you work backwards and divide 780 by 65 (780 ÷ 65). Therefore your answer is 12 inches
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Step-by-step explanation:

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Step-by-step explanation:

Hello!
I'd love to help you learn.
I see the formula attached is 4*(\frac{1}{2})^{x} =-2^{x}-1\\

This problem is explaining you to graph, since algebraically it's a little more harder to try and find the solution.

Since they're both equal to each other, we can assign a variable like y, so we can make them into two individual lines.

You can use your scientific calculator to graph lines like this, or otherwise there are online sources (Desmos helps alot!) which can graph two equations as so.

Now that we have the corresponding system of equations, we can graph both.

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Let's graph them on Desmos on the same plane. The answers are attached. Red is the first equation, blue is the second.

What determines the solutions of a system of equations?

-No solution: the two lines will never intersect/does not intersect ever, which means that there are no set point where it satisfies both equations.

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-Multiple solutions: the two lines will intersect each other multiple times, meaning there are multiple set points where the x and y values satisfy both equations. You usually will not have to worry about these problem sets.

-Infinite solutions: the two lines are both the same line, which means every x and y value will satisfy both equations.

Looking at the solution attached, we can see that there are no places where a system of equations intersect, therefore ruling it that they have no solution.

And to answer your last question, an asymptote is a imaginary line in which a equation can approach closely and closely, but will never touch that imaginary line. Think of a line at y=\frac{1}{x}. When you graph it, you can see that the two lines never ever EVER intersect the y-axis, or x=0; giving that x=0 as a vertical asymptote.

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This is the answer⬆️
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Answer:

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