<h3>
Answer: Choice A) </h3>
No, the piecewise graph is NOT a function because it does NOT pass the vertical line test.
The vertical line test is where we try to pass a line through more than one point on the curve. If it is not possible to do this, then the graph is said to "pass the vertical line test".
In this case, the given graph fails the vertical line test. Look at something like x = -2. We can draw a vertical line through here to pass through more than one point. One point is on the upside-down V shape, and the other point is on the parabolic shape. Plugging x = -2 into this leads to more than one y outputs.
A function is only possible if any valid x input (from the domain) leads to exactly one output y value (in the range).
Answer:
Total cost of cementing the path = Rs. 17,000.
Step-by-step explanation:
Let the square garden be PQRS
Let the region inside the garden (PQRS) be KLMN.
<u>Given the following data;</u>
Length of sides of PQRS = 90m
Width of path = 5m
Cost = Rs. 10 per m²
Area of PQRS = 90 * 90
Area of PQRS = 8100m²
<em>To find the area of KLMN;</em>
KL = KN = 90 - (5 + 5)
KL = KN = 90 - 10
KL = KN = 80m
Area of KLMN = KL * KN
Substituting into the equation, we have;
Area of KLMN = 80 * 80
Area of KLMN = 6400 m²
Area of path = Area of PQRS - Area of KLMN
Area of path = 8100 - 6400
Area of path = 1700 m²
Total cost of cementing the path = Area of path * Cost
Total cost of cementing the path = 1700 * 10
<em>Total cost of cementing the path = Rs. 17,000</em>
Answer:
12.5
Step-by-step explanation:
75 ÷ 6
This is a simple substitution problem. Clearly the answer here is <span>(2x + 1)(4x2 – 2x + 1). We just have to replace a with 2x and b with 1. The tricky part here is the first term in the second group of terms. 2x is to be squared. Common mistake here is raising the x with 2 and not including the coefficient. </span>
