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 :)
Answer:
the ones with a line above the numbers are repeating decimals
Answer:

Step-by-step explanation:
We want to calculate the right-endpoint approximation (the right Riemann sum) for the function:

On the interval [-1, 1] using five equal rectangles.
Find the width of each rectangle:

List the <em>x-</em>coordinates starting with -1 and ending with 1 with increments of 2/5:
-1, -3/5, -1/5, 1/5, 3/5, 1.
Since we are find the right-hand approximation, we use the five coordinates on the right.
Evaluate the function for each value. This is shown in the table below.
Each area of each rectangle is its area (the <em>y-</em>value) times its width, which is a constant 2/5. Hence, the approximation for the area under the curve of the function <em>f(x)</em> over the interval [-1, 1] using five equal rectangles is:

Answer:

Step-by-step explanation:
Values less than 5 on a die are 1, 2, 3, 4 ← 4 values out of a possible 6
P( < 5) =
=
in simplest form
The lengths of sides of a 30°-60°-90° triangle have the ratio 1 : √3 : 2. Multiplying these values by 5 tells you the sides have the lengths 5 : 5√3 : 10.
The length x of the middle-length side is ...
c. 5√3