Answer:
y = 2.5(x + 2)^2 - 3
The answer is A
Step-by-step explanation:
The general equation for the vertex is
y = a (x + b)^2 + c
a we are not certain about
b = 2
c = - 3
y = a(x + 2)^2 - 3 Now we have to solve for a.
a is found by using the one point we know (0,7) It means when x = 0 y = 7 so just put those two numbers in.
7 = a(0 - 2)^2 - 3
7 = a (- 2)^2 - 3 Add 3 to both sides.
7 + 3 = a(4) Combine 7 and 3
10 = 4a Divide by 4
10/4 = a Do the actual division
2.5 = a
Answer: See above
The solution set of the inequality x ≥ - 4 using set builder notation and interval notation is {x | x ∈ Z, - 4 ≤ x ≤ ∞ } and [ - 4, ∞ ) respectively.
An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.
A set can be represented by its elements or the properties that each of its members must meet can be described using set-builder notation.
Interval Notation: A set of real numbers known as an interval contains all real numbers that fall inside any two of the set's numbers.
Consider the inequality,
x ≥ - 4
In the number line, the value of x is equal to and greater than - 4 increasing to infinity.
Therefore,
The solution set using the set builder notation is:
{x | x ∈ Z, - 4 ≤ x ≤ ∞ }
The solution set of the inequality using the interval notation is:
[ - 4, ∞ )
Learn more about set builder notation here:
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