The function g(x) = 10x2 – 100x + 213 written in vertex form is g(x) = 10(x – 5)2 – 37. Which statements are true about g(x)? Select three options. The axis of symmetry is the line x = –5. The vertex of the graph is (5, –37). The parabola has a minimum. The parabola opens up. The value of a, when the equation is written in vertex form, is negative.
Answers
Answer:
The vertex of the graph is (5, -37) [see attached image]The parabola has a minimum [the coefficient of x² is positive]The parabola opens up [the coefficient of x² is positive]
All the correct statements are,
The vertex of the graph is (5, -37).
The parabola has a minimum.
The parabola opens up.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The function g(x) = 10x² - 100x + 213 written in vertex form is,
⇒ g(x) = 10(x – 5)² – 37.
Since, General equation is,
y = a (x - h)² + k
Where, (h, k) is vertex of parabola.
Hence, We get;
The vertex of the graph is (5, -37)
Since, the coefficient of x² is positive
Hence, The parabola has a minimum
And, The parabola opens up.
Thus, All the correct statements are,
The vertex of the graph is (5, -37).
The parabola has a minimum.
The parabola opens up.
Learn more about the mathematical expression visit:
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Answers
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• Billy: 7.75 hours
• Shea: 10.5 hours
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Answers
Answer:
The correct answer is A. $385.
Step-by-step explanation:
Since Corey, Billy, and Shea own a house repair and update business, and the number of hours that each person spent painting and doing repair work on the same house is listed below.
• Corey: 4.25 hours
• Billy: 7.75 hours
• Shea: 10.5 hours
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Answers
Answer:
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Step-by-step explanation:
Explanation:-
Given
(10a+5)²
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Answer:
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Step-by-step explanation:
Hope this helps
Answer:
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Step-by-step explanation:
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