This equation is written in slope intercept form
Remember that the slope intercept formula is:
y = mx + b
m is the slope
b is the y-intercept
In this case:
slope (m) is 2
y-intercept (b) is (0, - 1)
To plot this on a coordinate plane plot the y-intercept (0, -1).
To graph the rest of the line you can use what you know about the slope. Rise up two units and over to the right one unit from the y-intercept. You should arrive at the point (1, 1)
Then, again from the y-intercept, go down two units and to the left one unit. You should arrive at the point (-1, -3)
Now draw a straight line through the y-intercept and the other two points you just found
The image of the graph is shown below
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
The polynomial function of the lowest degree that has zeroes at -1, 0 and 6 and with a leading coefficient of one is
.
Step-by-step explanation:
From Fundamental Theorem of Algebra, we remember that the degree of the polynomials determine the number of roots within. Since we know three roots, then the factorized form of the polynomial function with the lowest degree is:
(1)
Where
,
and
are the roots of the polynomial.
If we know that
,
and
, then the polynomial function in factorized form is:
(2)
And by Algebra we get the standard form of the function:


(3)
The polynomial function of the lowest degree that has zeroes at -1, 0 and 6 and with a leading coefficient of one is
.
Answer: Choice C
Closed filled in circle at -3; shading to the right.
========================================================
Explanation:
Follow the steps shown below to isolate x. Note that the inequality sign flips when we divide both sides by a negative number.

Here's another way to isolate x

The inequality sign flip happens much earlier when we go from the format of
to
(in step 3)
The graph of this will have a closed filled in circle at -3, then shading to the right to describe all values -3 or larger.
This is why we go for choice C.