Solve the inequality
1 answer:
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Answer:
Step-by-step explanation:
Every time the x-value increases by 1, the y-value increases by 2. Therefore, the slope of the line must be equal to (rise/y-values over run/x-values). In slope-intercept form
,
represents the slope of the line,
represents the y-intercept, and
represents any point the line passes through.
Since represents the slope of the line, the value of
While the question only asks for this value, it's good to note that the equation of the function is (find 7 by substituting any ordered pair in the table with
).
Answer:
OPTION D
Step-by-step explanation:
We have to determine which option determines the function given above.
To determine the function, just substitute the values and compare LHS and RHS.
we have
Here, is the domain and
is the co-doamin.
Therefore,
Now, OPTION A:
Substitute x = 4. We get f(x) = 3 18.
So, OPTION A is rejected.
Similarly, OPTION B:
Substitute x = 4. We get f(4) = 22 18.
It is rejected as well.
Now, for OPTION C:
Substitute x = 4. We get f(4) = -3 18.
So, OPTION C is also rejected.
OPTION D:
Substitute x = 4. We get f(4) = 18.
Substitute the remaining points in domain as well. We notice that it exactly matches the given function. So, OPTION D is the answer.
Plug in -1 for x
and you'll get this:
Solve it further and you'll get:
Therefore,
where x = -1