The range of the quadratic function is [-1, ∞) after plotting the function on the coordinate plane.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The function is:
f(x) = (x - 4)(x - 2)
The above function is a quadratic function.
The above function can be written as:
f(x) = x² - 6x + 8
From the graph,
The minimum value of graph at x = 3 is y = -1
The range of the function is [-1, ∞)
Thus, the range of the quadratic function is [-1, ∞) after plotting the function on the coordinate plane.
Learn more about the function here:
brainly.com/question/5245372
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Answer:
72
Step-by-step explanation:
Use PEMDAS
Parentheses
Exponent
Multiplication and Division (if it contains both, just go from left to right)
Addition and Subtraction (if it contains both, just go from left to right)
8 + (5)(4) − (6 + 10/2) + 55
8 + 20 − (6 + 10/2) + 55
28 − (6 + 10/2) + 55
28 − (6 + 5) + 55
28 − 11 + 55
17 + 55
72
To solve it step by step with PEMDAS:
Solve within the parentheses
6 + 10/2
10/2 = 5
6 + 5 = 11
Multiply/Divide
(5)(4) = 20
Add/Subtract
8 + 20 - 11 + 55 = 72
72
Answer:
Step-by-step explanation:
1. trapezoid
2. no not possible lol how do you even do that lol a square has only 90 degree angles and then an obtuse angle pops in no doesn't happen
3. yes just draw two random right angles and then make them intersect lol
4. rectangle, perimeter of 30
5. no
Answer:
3) 67/441
Step-by-step explanation:
Comparing the given equation to the expressions you need to evaluate, you find there might be a simplification.
3x² +5x -7 = 0 . . . . . given equation
3x² +5x = 7 . . . . . . . add 7
x(3x +5) = 7 . . . . . . . factor
3x +5 = 7/x . . . . . . . . divide by x
Now, we can substitute into the expression you are evaluating to get ...
1/(3α +5)² +1/(3β +5)² = 1/(7/α)² +1/(7/β)² = (α² +β²)/49
__
We know that when we divide the original quadratic by 3, we get
x² +(5/3)x -7/3 = 0
and that (α+β) = -5/3, the opposite of the x coefficient, and that α·β = -7/3, the constant term. The sum of squares is ...
α² +β² = (α+β)² -2αβ = (-5/3)² -2(-7/3) = 25/9 +14/3 = 67/9
Then the value of the desired expression is ...
(67/9)/49 = 67/441
1,234,456×123 = <span>151838088</span>
