PLEASE HELP NOW!!!!! The inequality –3^x + 5 > –4 can be broken into two related inequalities. Review the graphs of the two r
elated inequalities.
On a coordinate plane, a dotted line is at y = 4. Everything above the line is shaded. A dotted curved line approaches y = 5 in quadrant 2 and then curves down through (0, 4) and (1, 2). Everything below and to the left of the curve is shaded.
Which set shows the solution to –3x + 5 > –4?
(–∞, 2)
(–4, ∞)
(–4, 5)
(2, ∞)
On a coordinate plane, a dotted line is at y = 4. Everything above the line is shaded. A dotted curved line approaches y = 5 in quadrant 2 and then curves down through (0, 4) and (1, 2). Everything below and to the left of the curve is shaded.
Which set shows the solution to –3x + 5 > –4?
(–∞, 2)
(–4, ∞)
(–4, 5)
(2, ∞)
2 answers:
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<h2>Part 1)</h2>
Let's analyze each part of the function:
FROM x = 0 TO x = 5:
We can find the equation of this line by using The Slope-Intercept Form of the Equation of a Line, that states:
So the y-intercept here is and
, therefore:
FROM x = 0 TO x = 5:
From the previous line, we know that at the output is:
So the point lies on both lines.
For this new line, the slope is
So, with the Point-Slope Form of the Equation of a Line we can find the equation of this other line:
So:
The graph is shown below.
<h2>Part 2)</h2>The graph of the linear function is a line with slope
and
at
. From the items, we can assure that the following equations are linear functions:
In conclusion, the other functions are nonlinear and they are:
1.
Consider a group of n objects. Assume we want to form groups of r, from these n objects.
There are in total
many ways of doing so.
where, r! is "r factorial", calculated as 1*2*3*...*(r-1)*r
2.
C(x, 2) is the total number of pairs out of x objects, that we can form.
so let the x objects represent the x teams, and 2, represent a group of 2, which means a game.
The total number of games is:
n(x)=2*C(x, 2) =
Remark, we multiplied by 2, since there will be 2 matches for each pair of teams.
Answer:
Consider a group of n objects. Assume we want to form groups of r, from these n objects.
There are in total
where, r! is "r factorial", calculated as 1*2*3*...*(r-1)*r
2.
C(x, 2) is the total number of pairs out of x objects, that we can form.
so let the x objects represent the x teams, and 2, represent a group of 2, which means a game.
The total number of games is:
n(x)=2*C(x, 2) =
Remark, we multiplied by 2, since there will be 2 matches for each pair of teams.
Answer: