Find the mean 5,-15,7,-13,1
2 answers:
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Answer: y = -3(x + )² +
,
,
<u>Step-by-step explanation:</u>
First, you need to complete the square:
y = -3x² - 5x + 1
<u> -1 </u> <u> -1 </u>
y - 1 = -3x² - 5x
y - 1 = -3(x² +
y - 1 + -3() = -3(x² +
+
)
↑ ↓ ↑
=
y - 1 - = -3(x +
)²
y - -
= -3(x +
)²
y - = -3(x +
)²
y = -3(x + )² +
Now, it is in the form of y = a(x - h)² + k <em>where (h, k) is the vertex</em>
Vertex = ,
Answer:
The adult tickets are <u>400</u> and the children tickets are <u>300</u>.
Step-by-step explanation:
Given:
At a carnival, 700 tickets were sold for a total amount of $5500. An adult ticket cost $10 and a children's ticket cost $5.
Now, to find the number of adult tickets and the number of children's tickets sold.
<em>Let the number of adult tickets be </em><em />
<em>And let the number of children tickets be </em><em />
So, the total number of tickets sold:
Now, the total amount of tickets:
Substituting the value of from equation (1):
<em>Subtracting both sides by 3500 we get:</em>
<em /><em />
<em>Dividing boths sides by 5 we get:</em>
<u />
<u>The number of adult tickets = 400.</u>
Now, substituting the value of in equation (1) we get:
<u>The number of children tickets = 300.</u>
Therefore, the adult tickets are 400 and the children tickets are 300.