Considering the vertex of the parabola, the correct statement is given by:
The range of the function is all real numbers less than or equal to 9.
<h3>What is the vertex of a quadratic equation?</h3>
A quadratic equation is modeled by:
The vertex is given by:
In which:
Considering the coefficient a, we have that:
- If a < 0, the vertex is a maximum point, which means that the range is all real numbers less than or equal to
.
- If a > 0, the vertex is a minimum point, which means that the range is all real numbers greater than or equal to .
In this problem, we have that:
- a = -1 < 0, hence the vertex is a maximum point.
Hence the range is described by:
The range of the function is all real numbers less than or equal to 9.
More can be learned about the vertex of a parabola at brainly.com/question/24737967
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Answer:
-5x from both sides
Step-by-step explanation:
When converting an equation to slope-intercept form, you need to isolate the y. The first step in isolating the y is to remove 5x from both sides of the equation:
5x - y = 7
5x - 5x - y = 7 - 5x
-y = 7 - 5x
Now it's just -1y on one side of the equation.
Number of broken glasses / total glasses = 3/500 = 0.006 = 0.6%
Answer:
Ans = 2.53m
Step-by-step explanation:
It is a simple law of Cosine, on a right-angle triangle draw the length as 5 and the base as 7 the angle is 15°. Find x.
So x = 5² +7² - 2 (5) (7)cos 15°
Solve this and you get your answer.
Hope this was helpful :)
Answer:
The roots of the polynomial equation in this case would be the intersection of the 2 polynomial functions. which are at x = 4 and x = -3
Step-by-step explanation:
The roots are found by finding the x-values of the intersections of these two cubic polynomial functions.
We could try solving algebraically, but you have the graph.
