The graph would be the normal parent function of f(x) but all points would be 6 units up.
There's an upward vertical shift of 6. To graph this, you need to graph the function f(x) and then add 6 units to all the y values.
Given that,
A circular running track is ¼ mile long.
Elena runs on this track, completing each lap in 1/16 of an hour
To find,
Elena’s running speed.
Solution,
Formula used :
Speed = distance/time
So, Elena’s running speed is 4 mph.
Answer: β ≠ ±1
Step-by-step explanation: For a system of equations to have an unique solution, its determinant must be different from 0: det |A| ≠ 0. So,
det ![\left[\begin{array}{ccc}1&\beta&1-\beta\\2&2&0\\2-2\beta&4&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26%5Cbeta%261-%5Cbeta%5C%5C2%262%260%5C%5C2-2%5Cbeta%264%260%5Cend%7Barray%7D%5Cright%5D)
≠ 0
Determinant of a 3x3 matrix is calculated by:
det ![\left[\begin{array}{ccc}1&\beta&1-\beta\\2&2&0\\2-2\beta&4&0\end{array}\right]\left[\begin{array}{ccc}1&\beta\\2&2\\2-2\beta&4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26%5Cbeta%261-%5Cbeta%5C%5C2%262%260%5C%5C2-2%5Cbeta%264%260%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26%5Cbeta%5C%5C2%262%5C%5C2-2%5Cbeta%264%5Cend%7Barray%7D%5Cright%5D)
![8(1-\beta)-[2(2-2\beta)(1-\beta)]](https://tex.z-dn.net/?f=8%281-%5Cbeta%29-%5B2%282-2%5Cbeta%29%281-%5Cbeta%29%5D)
β ≠ ±1
For the system to have only one solution, β ≠ 1 or β ≠ -1.
Answer:
16. 30 * (30+12)/4*(L)*20
17. Volume = 6300 * Length of rectangular prism
Step-by-step explanation:
The width of a rectangular prism is <u>30 cm</u>. This is <u>12 more than one-fourth of the length</u>. Find the volume of the prism, given the <u>height is 20 cm</u>.
Let L = length of rectangular prisim W = width and H = height
16.
Volume of a rectangular prism is width * length * height
30 * (30+12)/4*(L)*20
17.
= 30 * (30+12)1/4(L)*20
= 30 * (42/4)*L * 20
= 600 * 10.5 * L
= 6300 * L
Volume = 6300 * Length of rectangular prism
10/16=5/8
5+4= 9
9/8
9/8= 1 1/8
1 and 1/8
