Answer:
The answer to your question is:
Domain [0, 8)
Range [-3, 1]
f(0) = -3
Step-by-step explanation:
Domain: is the possible values that the "x" can take
Range: are the values that take the function when is evaluated by the independent variable (x).
For this example:
Domain [0, 8) close is zero and open in 8
Range [-3, 1] close in both sides
f(0) = -3
Answer:
![\boxed{ \bold{ \sf{ \: 1. \: \: \: \: \: 198}}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cbold%7B%20%5Csf%7B%20%5C%3A%201.%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20198%7D%7D%7D)
![\boxed{ \bold{ \sf{2. \: \: \: \: \: - 8}}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cbold%7B%20%5Csf%7B2.%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20-%208%7D%7D%7D)
![\boxed{ \bold{ \sf{ 3. \: \: \: \: \: \frac{64}{343} }}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cbold%7B%20%5Csf%7B%203.%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%5Cfrac%7B64%7D%7B343%7D%20%7D%7D%7D)
Step-by-step explanation:
1. Given, u = 20 , x = 4 , y = 7 , z = 10
![\sf{ \frac{u}{z} + x {y}^{2} }](https://tex.z-dn.net/?f=%20%5Csf%7B%20%5Cfrac%7Bu%7D%7Bz%7D%20%20%2B%20x%20%7By%7D%5E%7B2%7D%20%7D)
⇒![\sf{ \frac{20}{10} + 4 \times {7}^{2} }](https://tex.z-dn.net/?f=%20%5Csf%7B%20%5Cfrac%7B20%7D%7B10%7D%20%20%2B%204%20%5Ctimes%20%20%7B7%7D%5E%7B2%7D%20%7D)
⇒![\sf{ \frac{20}{10} + 4 \times 49}](https://tex.z-dn.net/?f=%20%5Csf%7B%20%5Cfrac%7B20%7D%7B10%7D%20%20%2B%204%20%5Ctimes%2049%7D)
⇒![\sf{ \frac{20}{10} + 196}](https://tex.z-dn.net/?f=%20%5Csf%7B%20%5Cfrac%7B20%7D%7B10%7D%20%20%2B%20196%7D)
⇒![\sf{ \frac{20 + 196 \times 10}{10} }](https://tex.z-dn.net/?f=%20%5Csf%7B%20%5Cfrac%7B20%20%2B%20196%20%5Ctimes%2010%7D%7B10%7D%20%7D)
⇒![\sf{ \frac{20 + 1960}{10} }](https://tex.z-dn.net/?f=%20%5Csf%7B%20%5Cfrac%7B20%20%2B%201960%7D%7B10%7D%20%7D)
⇒![\sf{ \frac{1980}{10} }](https://tex.z-dn.net/?f=%20%5Csf%7B%20%5Cfrac%7B1980%7D%7B10%7D%20%7D)
⇒![\sf{198}](https://tex.z-dn.net/?f=%20%5Csf%7B198%7D)
2. ![\sf{4( - 2)}](https://tex.z-dn.net/?f=%20%5Csf%7B4%28%20-%202%29%7D)
Multiplying or dividing a positive integer by any negative integer gives a negative integer
= - 8
3. ![\sf{( \frac{4}{7} ) ^{3} }](https://tex.z-dn.net/?f=%20%5Csf%7B%28%20%5Cfrac%7B4%7D%7B7%7D%20%29%20%5E%7B3%7D%20%7D)
⇒![\sf{( \frac{ {4}^{3} }{ {7}^{3} } })](https://tex.z-dn.net/?f=%20%5Csf%7B%28%20%5Cfrac%7B%20%7B4%7D%5E%7B3%7D%20%7D%7B%20%7B7%7D%5E%7B3%7D%20%7D%20%7D%29)
⇒![\sf{ \frac{4 \times 4 \times 4 }{7 \times 7 \times 7}}](https://tex.z-dn.net/?f=%20%5Csf%7B%20%5Cfrac%7B4%20%5Ctimes%204%20%5Ctimes%204%20%7D%7B7%20%5Ctimes%207%20%5Ctimes%207%7D%7D%20)
⇒![\sf{ \frac{64}{343} }](https://tex.z-dn.net/?f=%20%5Csf%7B%20%5Cfrac%7B64%7D%7B343%7D%20%7D)
Hope I helped!
Best regards! :D
Answer:
x = 16.6
Step-by-step explanation:
Since we know the measure of an acute angle (31 degrees) of a right angle triangle, and of the side opposite to the angle (10), and we need to find the measure of the adjacent side "x", we use the tangent function:
![tan(\theta) = \frac{opposite}{adjacent} \\tan(31^o)=\frac{10}{x}\\x=\frac{10}{tan(31^o)} \\x \approx 16.64279](https://tex.z-dn.net/?f=tan%28%5Ctheta%29%20%3D%20%5Cfrac%7Bopposite%7D%7Badjacent%7D%20%5C%5Ctan%2831%5Eo%29%3D%5Cfrac%7B10%7D%7Bx%7D%5C%5Cx%3D%5Cfrac%7B10%7D%7Btan%2831%5Eo%29%7D%20%5C%5Cx%20%5Capprox%2016.64279)
which rounded to one decimal is
x = 16.6
Answer:
HEYOOO
The answer must be that it has a MAX
Step-by-step explanation:
Its because the graph has a MAXIMUM "peak" of the line--the maximum point on the graph of which it reaches!
HOPE THIS HELPS!
Might be A, I don’t know.