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vova2212 [387]
3 years ago
5

Hello! :)

Mathematics
1 answer:
SVEN [57.7K]3 years ago
6 0

Answer:

1. False

2. False

3. True

Step-by-step explanation:

1. It fails the 'Vertical Line Test.' Draw a line through the center of the relation and see if the line passes through the graph more than once. It does, therefore it fails the test. Meaning it is not a function.

2. Domain (x) is all the x-values in the equation, the relation only contains the x-values x>0 and x<7 (0 - 7). Meaning it does not contain all real numbers.

3. The range (y) contains negative numbers because the relation is partially in the 4th quadrant, meaning it MUST contain a negative y-value.

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5 0
3 years ago
Make M the subject<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bu%7D%7B%20%5Csqrt%7B2%20%7D%20%7D%20%20%3D%20%28%20%5Cfrac%
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\frac{u}{\sqrt{2}} = \left(\frac{M+N}{g}\right)^{0.5}\\\\\\\left(\frac{M+N}{g}\right)^{0.5}=\frac{u}{\sqrt{2}}\\\\\\\sqrt{\frac{M+N}{g}}=\frac{u}{\sqrt{2}}\\\\\\\frac{M+N}{g}=\left(\frac{u}{\sqrt{2}}\right)^{2}\\\\\\\frac{M+N}{g}=\frac{u^2}{(\sqrt{2})^2}\\\\\\\frac{M+N}{g}=\frac{u^2}{2}\\\\\\M+N=\frac{gu^2}{2}\\\\\\M=\frac{gu^2}{2}-N\\\\\\

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