the domain is all the real numbers, or (-infinite <x<infinite)
the range is y>=-4
axis of symetry is x= -1
vertex is (-1,-4)
the parabola opens upwards
x intercepts (-3,0) and (1,0)
y intercepts (0,-3)
<h2><u>Problem Solving</u>:-</h2>
2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation which describes the relation.
<h2><u>Solution</u>:-</h2>
Since the distance d varies directly as the time t, then d = kt.
Using one of the pairs of values, (2, 20), from the table, substitute the values of d and t in d = kt and solve for k.
![\sf{\rightarrow{d = kt}}](https://tex.z-dn.net/?f=%5Csf%7B%5Crightarrow%7Bd%20%3D%20%20kt%7D%7D)
![\sf\rightarrow{20 = 2k }](https://tex.z-dn.net/?f=%20%5Csf%5Crightarrow%7B20%20%20%3D%202k%20%7D)
![\sf\rightarrow{K= \frac{20}{2} }](https://tex.z-dn.net/?f=%20%5Csf%5Crightarrow%7BK%3D%20%5Cfrac%7B20%7D%7B2%7D%20%7D)
![\sf\rightarrow{K={\color{magenta}{10}}}](https://tex.z-dn.net/?f=%5Csf%5Crightarrow%7BK%3D%7B%5Ccolor%7Bmagenta%7D%7B10%7D%7D%7D)
<h2><u>Answer</u>:-</h2>
- Therefore, the constant of variation is 10.
Answer:
64
Step-by-step explanation:
If you measure the cubes inside for the length, width and height, you get:
Length - 5 cubes
Width -5 cubes
Height - 3 cubes
The volume of the prism is 5 * 5 * 3 = 75. This means the prism can hold a total of 75 cubes
The amount of cubes already in there is 11
so 75 - 11= 64
240 is the correct answer.
Answer:
r^12 t^12
Step-by-step explanation: