Answer:
9 years old.
Step-by-step explanation:
Since the ages of all of these students are being represented in relation to the middle student's age then we can create formulas for each student and then apply them to the formula for the sum of their ages and solve for the middle child's age (M) like so... (oldest child's age is represented by variable O and youngest child's age is represented by variable Y)
O = M + 6
Y = M - 3
30 = (M+6) + M + (M-3) ... combine like terms
30 = 3M + 3 ... subtract 3 from both sides
27 = 3M ... divide both sides by 3
9 = M
Now we know that the middle child is 9 years old.
The correct answer is: [C]: " c² <span>− 16 " .
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12 will be opposite to 24. Then the number of the people are sitting at the table will be 24.
<h3>What is Algebra?</h3>
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The several people are sitting evenly spaced around a circular table and the positions are labelled 1, 2, 3 and so on.
The people at positions 3 and 15 are directly opposite each other.
Then the number of the people are sitting at the table will be
1 is opposite to 13
2 is opposite to 14
3 is opposite to 15
Similarly, 12 will be opposite to 24.
Then the number of the people are sitting at the table will be 24.
More about the Algebra link is given below.
brainly.com/question/953809
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Answer:
Range remains the same.
Step-by-step explanation:
(1,3),(-2,1),(-5,-1) and (1,-2)
Answer:
y = (x+3)^2 -1
Step-by-step explanation:
The equation for an upward opening parabola is
y = a(x-h)^2 +k
Where (h,k) is the vertex
The vertex is (-3,-1)
y = a(x--3)^2 +-1
y = a(x+3)^2 -1
Put a point in to find a
(0,8)
8 = a(0+3)^2 -1
8 = a (3)^2 -1
Add 1 to each side
8+1 = a9
9=9a
Divide by 9
1 =a
y = (x+3)^2 -1
