Answer:
- y = -6
- x=2 and x=6
- Greatest value of y is y=2 and it occurs when x = 4
- For x between x = 2 and x = 6, y > 0
Step-by-step explanation:
<u>Definition</u>
- A parabola is a curve where any point is at an equal distance from:
a fixed point (the focus ), and
a fixed straight line (the directrix )
From the graph we can see that this is indeed so. We can even calculate the parabola equation from the given graph but since that is not required, I am not illustrating the steps here to do that
- The y-intercept is the value of y where the parabola cuts the y axis and from the graph we see that this occurs at y = -6
- The x-intercepts are the x-values where the parabola crosses the x-axis and we can see that this occurs at x = 2 and x = 6
- The greatest value of y occurs at the vertex of the parabola and we see that the vertex is at (4,2) ie greatest value of y is at y = 2 and occurs at x=4
- Between x =2 and x = 6 we see that the y values greater than 0 ie y > 0
(Note on last question: If you exclude these two points then y > 0 between x=2 and x=6.Specifically it is 0 at x =2 and x=6 and > 0. So if you include these two points then y ≥ 0. I have taken it as excluding the two points, x = 2 and x =6)
Answer:
Associative properties of multiplication
The reasonable measurement is D.)the distance from New York to California is 2,250 miles
Measurement:
Measurement is the process of comparison of an unknown quantity with a known or standard quantity.
Given,
Mr. Customs is correcting the class’s math homework on customary units. Here we need to find which of the following measurements is reasonable.
By looking at the given options,
A) a pencil is 12 feet long - This one is wrong because the measuring unit of pencil is cm.
B) the back porch is 12 inches wide - For this one we have to use the feet or meter scale.
C) the 3rd hole in the golf course is is 123 miles long - Here this one we have to use either cm or mm.
Therefore, option (D) the distance from New York to California is 2,250 miles is a reasonable statement.
To know more about Measurement here.
brainly.com/question/12020266
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Answer:
20x-6
Step-by-step explanation:
20x-6
because the product of 20 and a number would be 20 multiplied by that number (in this case, we're representing that number with x), and it says six less than which means 20x subtracted by 6