Answer: 1. the negative of the conclusion is true
Answer:
The range of the equation is y ≥ 9 ⇒ C
Step-by-step explanation:
The quadratic equation y = ax² + bx + c, represents by a parabola of vertex (h, k), where h =
and k is the value of y at x = h
- The range of the quadratic if it has a minimum vertex is y ≥ k, and y ≤ k if it has a maximum vertex
- The parabola has a minimum vertex if the value of a is positive and a maximum vertex if the value of a is negative
∵ The equation is y = x² + 9
→ Compare it with the form above to find a and b
∴ a = 1 and b = 0
∵ a is a positive number
∴ The parabola has a minimum vertex
→ By using the 1st rule above
∴ The range is y ≥ k
→ Use the rule of h above to find it
∵ h =
= 
∴ h = 0
→ To find k substitute x by the value of h and y by k
∵ k = (0)² + 9
∴ k = 0 + 9
∴ k = 9
∴ The range of the equation is y ≥ 9
Answer:
2 5/8 miles or 2.625 miles
Step-by-step explanation:
We are told in the question that
Linda walked 3/4 of the length of the Tremont Trail before stopping for a rest.
From the question, the length of the Tremont Trail = 3 1/2 miles
Hence, the distance (how far )Linda has walked =
3/4 of 3 1/2 miles
= 3/4 × 3 1/2 miles
= 3/4 × 7/2 miles
= 21/8 miles
= 2 5/8 miles or 2.625 miles
Therefore, Linda had walked 2 5/8 miles or 2.625 miles on the Tremont trail
<u>Answer:</u>
<u>Alice says that all the factors of 8 are even .
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<u>Solution:
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<u>Absolutely Alice is wrong.
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<u>As we know that the factors of any number are those numbers which can divide that number completely.
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<u>so, factors of 8 are 1,2,4 and 8.
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<u>Here one can see easily from all the four factors of 8 ,2,4,8 are even but 1 is odd.
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<u>so,this is the example and Explanation that statement of Alice is wrong.</u>
<u>Step-by-step explanation:</u>