Answer:
A factor can be a number, variable, term, or a longer expression. For example ... In the expression 2x+4y− 9 , the term 9 is a constant. Like Terms: Terms that contain the same variables such as 2m , 6m or 3xy and 7xy .
Step-by-step explanation:
Factor, in mathematics, a number or algebraic expression that divides another ... For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12 .
Answer:
X = 5
Step-by-step explanation:
Here is what I am picturing (not to scale)
A ----------------B-----------C
We are given the information of AB (which equals 3x + 1), BC (which equals 4x - 5), and AC (which equals 8x - 9).
With reference to the line, AB + BC = AC
So,
3x + 1 + 4x - 5 = 8x - 9
7x - 4 = 8x - 9
5 = x
The range of the given function is represented by {-6,-4,2}.
<h3>Domain and Range</h3>
The domain of a function is the set of input values for which the function is real and defined. In the other words, when you define the domain, you are indicating for which values x the function is real and defined.
While the domain is related to the values of x, the range is related to the possible values of y that the function can have.
Here, you need to replace the given domain values in the equation: f(x)=x-4. The question gives that the domain is represented by: -2 ,0 ,2 .
Thus,
For x=-2, you have:
f(x)= x-4
f(x)= -2-4
f(x)= -6
For x=0, you have:
f(x)= 0-4
f(x)= 0-4
f(x)= -4
For x=2, you have:
f(x)= x-4
f(x)= 2-4
f(x)= -2
Therefore, the range of the given function is {-6,-4,2}
Learn more about the range here:
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Answer:
zeros: -11 , 7
Line of symmetry: x = -2
Step-by-step explanation:
y = 2x² + 8x - 154 = 2*(x² + 4x - 77) = 2*(x+11)(x-7)
y = 0
x = - 11 or x = 7
line of symmetry: x = 1/2 (-11 + 7) = -2
2x² + 8x - 154 = 2*(x² + 4x +4) - 162 = 2 * (x+2)² - 162
vertex (h , k): h = -2 , k = -162
Line of symmetry: x = -2
