Answer:
A graph showing a range of negative three to two on the x and y axes. A dotted line with arrows at both ends that passes through the x axis at two and runs parallel to the y axis. The graph is shaded to the left of the line.
Step-by-step explanation:
The inequality given is x < 2. This means x is less than two are the values that satisfy the equation.
The equation can be written as x=2 to identify the position where the line will pass. The line is dotted and will pass through x=2 to be parallel with the y-axis.
The second and third answers are not correct because the line should not be solid.
The first answer is not correct because the shaded part should be to the left of the line.
<h3>
Answer: Choice D</h3>
Explanation:
Any time Alyssa is increasing her speed, the graph will move uphill when going from left to right.
If she slows down, then the graph will move downhill when going left to right.
Always move from left to right when reading a graph because this is how the time axis is set up.
Any flat part represents portions where her speed is constant, i.e. doesn't change.
With all that in mind, the answer is choice D because
- The first portion is going uphill (she's increasing her speed). This portion spans horizontally from 0 seconds to 20 seconds.
- The next portion is her slowing down (the graph is going downhill). This portion spans horizontally from 20 seconds to 30 seconds (so we have a 10 second duration).
- The third portion is where Alyssa is driving at some fixed speed that doesn't change. This portion is 20 seconds long.
- The last portion is Alyssa slowing down and coming to a complete stop. This portion is 5 seconds long.
<u>Answer:</u>
The correct answer option is d. 9.
<u>Step-by-step explanation:</u>
We are given an expression
and we are supposed to simplify it.
We can also write
as
.
We know the power rule
which means that to raise a power to a power you need to multiply the exponents.
So multiplying the exponents to get:
![(3^3)^{\frac{2}{3} }\\3^{3.\frac{2}{3}](https://tex.z-dn.net/?f=%283%5E3%29%5E%7B%5Cfrac%7B2%7D%7B3%7D%20%7D%5C%5C3%5E%7B3.%5Cfrac%7B2%7D%7B3%7D)
3 gets cancelled by 3 so we are left with:
![=9](https://tex.z-dn.net/?f=%3D9)
Therefore, the correct answer option is d. 9.
Answer:
A. The point (0,0) shows that the cost is $0 for 0 kg of cashews.
C. The point (2,60) shows that it cost $60 for 2 kg of cashews.
B. The constant of proportionality for this graph is 30.
Step-by-step explanation:
D is wrong