Select the table representing a linear function. (Graph them if necessary.)
1 answer:
You might be interested in
Answer:
1) x ≤ 2 or x ≥ 5
2) -6 < x < 2
Step-by-step explanation:
1) We have x^2 - 7x + 10, so let's factor this as if this were a regular equation:
x^2 - 7x + 10 = (x - 2)(x - 5)
So, we now have (x - 2)(x - 5) ≥ 0
Let's imagine this as a graph (see attachment). Notice that the only place that is above the number line is considered greater than 0, and that's when x ≤ 2 or x ≥ 5 (the shaded region).
2) Again, we have x^2 + 4x - 12, so factor this as if this were a regular equation:
x^2 + 4x - 12 = (x + 6)(x - 2)
So now we have (x + 6)(x - 2) < 0
Now imagine this as a graph again (see second attachment). Notice that the only place that is below 0 (< 0) is when -6 < x < 2 (the shaded region).
Hope this helps!
Answer:
(x+1)²+(y-2)²= 20
Step-by-step explanation:
P = (-3,-2)
Q = (1, 6)
<u>Center (h, k)</u>
C = ((-3+1)/2 , (-2+6)/2)
C = (-2/2 , 4/2)
C = (-1 , 2)
Radius = Distance from the center to point Q
R = √((1-(-1))² + (6-(2))²)
R = √((2)² + (4)²)
R = √(4+ 16)
R = √20
Equation
(x-h)²+(y-k)²= R²
(x-(-1))²+(y-2)²= (√20)²
(x+1)²+(y-2)²= 20
Answer:
Refer the attached graph below.
Step-by-step explanation:
Given : Function
To find : Which graph shows the end behavior of the graph of the given function?
Solution :
We have given the function
To find the end behavior of the graph,
We need to find the degree of the given function and the leading coefficient.
Degree of the given function is the highest power of the variable.
Highest power of x is 6.
Degree = 6 ( an even degree)
Leading coefficient is the coefficient of highest power term.
We have highest power term is .
So, the leading coefficient is 2 (Positive number)
For even degree and positive leading coefficient, end behavior is
Refer the attached figure below.
