8-4x^2+10x^2+2x
8+6x^2+2x
6x^2+2x+8
This is a quadratic equation since it has three terms. Now, a=6 (that is, a≠0) and therefore, it is a quadratic trinomial equation.
The correct answer is C.)
Given:
The graph of a downward parabola.
To find:
The domain and range of the graph.
Solution:
Domain is the set of x-values or input values and range is the set of y-values or output values.
The graph represents a downward parabola and domain of a downward parabola is always the set of real numbers because they are defined for all real values of x.
Domain = R
Domain = (-∞,∞)
The maximum point of a downward parabola is the vertex. The range of the downward parabola is always the set of all real number which are less than or equal to the y-coordinate of the vertex.
From the graph it is clear that the vertex of the parabola is at point (5,-4). So, value of function cannot be greater than -4.
Range = All real numbers less than or equal to -4.
Range = (-∞,-4]
Therefore, the domain of the graph is (-∞,∞) and the range of the graph is (-∞,-4].
11 liters of 25% orange juice, 4 liters of 10% orange juice:
1' let x to be 25% orange juice and y be 10% orange juice
2' .25x+.10y=(15).21
3' x+y=15
4' 2.5x+y=31.5 divide all sides by 10
5' -x-y=-15 multiply all sides by -1
6' 1.5x=16.5
7' x=11
8' y=15-11=4
so 11 and 4 are the answers.
Answer:
NO
Step-by-step explanation:
Either 3, 5 and 6 satisfy the Pythagorean Theorem or they do not. Here we start with a^2 + b^2 = c^2 and substitute 6 for c (because 6 is the largest of the set): Is 3^2 + 5^2 = 6^2? 9 + 25 = 36? NO
Answer: 10x-6
Step-by-step explanation:
2(3x+6)+2(2x-4)
=> 6x+12+4x-8
=> 10x-6
Have a nice day! :)
