Given:
The graph of a parabola.
To find:
The domain, range and check whether it is a function or not.
Solution:
Domain: The set of x-values or input values is known as domain.
Range: The set of y-values or output values is known as range.
A relation is a function if their exist unique outputs for each input. In other words a graph is a relation if it pass the vertical line test.
Vertical line test: Each vertical line intersect the graph at most once.
The given function is defined for all real values of x which are greater than or equal to -3. So, the domain of the given graph is:
The given function values can be any real number. So, the range of the given graph is:
For x=0, we have two values of the function because the graph intercept the y-axis at two points.
Since the graph does not pass the vertical line test therefore the given graph is not a function.
Answer:
83422.5 grass seeds
Step-by-step explanation:
Applying,
A = 1/2bh....................... Equation 1
Where A = Area of the Triangle, b = base, h = height.
But, from the diagram,
tanФ = 20/b
b = 20/tanФ.................. Equation 2
Substitute equation 2 into equation 1
A = 1/2(20/tanФ)(h)................ Equation 3
Given: h = 20 m, Ф = 40°
Substitute these values into equation 3
A = 1/2(20×20)/tan40°
A = 200/tan40°
A = 238.35 m²
If the seed company recommends planting approximately 350 grass seeds per square meter,
Therefore,
Number of grass seed need = (350×238.35)
Number of grass seed needed = 83422.5 grass seeds
Hey! Let's go through this.
If she has 42 dollars and she buys 3 $7 t-shirts, we can use multiplication to see that she spent 21 dollars on t shirts, meaning she has 42-21 dollars left, or 21 dollars left.
If she has 21 dollars left and glasses sell for $6, then the most she can buy (keep in mind we can't buy a fractional part of a pair of sunglasses) at most 3 pairs, because if she bought four, she'd go over her spending limit.
Hope this helps!