Answer:
To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.
Please see the attached image below, to find more information about the graph
The equation is:
f(x) = 1/x - 1
Domain
All real numbers except for {0}
Answer:
a. 3.75 +0.4m = 10.95
Step-by-step explanation:
Only one equation given has the mileage rate (0.40) multiplied by the number of miles (m). That is the correct choice.
No the larger the number the steeper the slope. 1 would be a steeper slope than a number less than 1.
22.4
If the bottom side is 20 cm, then each line BE and CE would each be 10 cm.
Now, just focus on the top left triangle. You have one side with 20 cm, and the other side with 10 cm. You are left with the hypotenuse, which you need to figure out the value of.
Since this is a right triangle, you can use the Pythagorean theorem -> a^2 + b^2 = c^2 where c is the hypotenuse.
20^2 + 10^2 = c^2
400 + 100 = c^2
500 = c^2
22.36 = c
The question is missing the figure which is attached below.
Answer:
1620 cm³
Step-by-step explanation:
Given:
The two prisms are similar.
Volume of the smaller prism (V₁) = 60 cm³
Length of the smaller prism (l₁) = 5 cm
Length of the larger prism (l₂) = 15 cm
Now, we know that, for similar figures, the dimensions of the figure are in proportion to each other. Therefore,


This means that, the smaller figure is dilated by a scale factor of 3.
Hence, 
Volume of smaller prism is given as:

Volume of larger prism is given as;
![V_2=l_2b_2h_2\\\\V_2=3l_1\times 3b_1\times 3h_1\\\\V_2=27(l_1 b_1h_1)\\\\V_2=27\times 60=1620\ cm^3\ \ \ \ [\because\ l_1b_1h_1=60\ cm^3]](https://tex.z-dn.net/?f=V_2%3Dl_2b_2h_2%5C%5C%5C%5CV_2%3D3l_1%5Ctimes%203b_1%5Ctimes%203h_1%5C%5C%5C%5CV_2%3D27%28l_1%20b_1h_1%29%5C%5C%5C%5CV_2%3D27%5Ctimes%2060%3D1620%5C%20cm%5E3%5C%20%5C%20%5C%20%5C%20%5B%5Cbecause%5C%20l_1b_1h_1%3D60%5C%20cm%5E3%5D)
Therefore, the volume of the larger rectangular prism is 1620 cm³.