Answer:
a. 2c
Step-by-step explanation:
you keep the coefficient (since the first is 1) and add the exponents, so -6+7=1.
so...it becomes 2c^1 or just 2c
The resultant graph is shown in the attached image.
Explanation:Before we begin, remember that when we multiply by a negative sign, we flip the sign of the inequality
The given inequality is:
-y ≤ 3x - 5
We will multiply both sides by -1 to get a positive y vale. This will give us:
y ≥ -3x + 5
Now, to graph the inequality, we will first draw the line y = -3x + 5 and then shade the region having y values greater than the line.
To know the region, you will simply use trial and error method for random points on the two sides of the line.
The final solution would be as shown in that attachment.
Hope this helps :)
<span>Answer: - (1/2)x + 2
Solution:
1) Table
</span>
<span><span>
</span><span><span>
x
y
</span>
<span>
-2
3
</span>
<span>
0
2
</span>
<span>
4
0
</span>
<span>
6
-1
The first thing that you must probe is whether the relation is linear.
When the relation is linear the rate of change is constant.
The rate of change is Δy / Δx
2) Let's calculate that rate for all the points given:
</span></span></span><span><span>
x
y
</span>
-2
3
<span>
0
2
</span>
<span>
---> Δx = 0 -(-2) = 2, Δy = 2 - 3 = - 1 => Δy / Δx = - 1/2
4
0
---> Δx = 4 - 0 =4, Δy = 0 - 2 = -2 => Δy / Δx = -2/4 = - 1/2
</span>
<span>
6
-1</span></span> ---> Δx = 6 - 4 = 2, Δy = - 1 - 0 = -1 => Δy / Δx = - 1/2
<span> </span>
So, we have shown that the relation is linear.
3) Now, you can use the equation of the line: y = mx + b, where m is the slope (rate of change Δy / Δx) and b is the y-intercept.
We already found m = -1/2
The y-intercept is the value of y when x = 0, which you can get from the table; b = 2.
Therefore the equation is: y = (-1/2)x + 2.