Answer:

Step-by-step explanation:

Cross multiply

Divide by 39

:) Brainliest pls?
Answer:
The zeros are {2, -3, -4} which need to be plotted on the x-axis.
Step-by-step explanation:
I'll find the zeros, aka x-intercepts, and you could probably graph them.
To find the zeros, let's factor this polynomial:
r(x) = (x - 2)(x^2+7x+12)
r(x) = (x - 2)(x + 3)(x + 4)
The zeros are {2, -3, -4} which need to be plotted on the x-axis.
9514 1404 393
Answer:
-3 ≤ x ≤ 19/3
Step-by-step explanation:
This inequality can be resolved to a compound inequality:
-7 ≤ (3x -5)/2 ≤ 7
Multiply all parts by 2.
-14 ≤ 3x -5 ≤ 14
Add 5 to all parts.
-9 ≤ 3x ≤ 19
Divide all parts by 3.
-3 ≤ x ≤ 19/3
_____
<em>Additional comment</em>
If you subtract 7 from both sides of the given inequality, it becomes ...
|(3x -5)/2| -7 ≤ 0
Then you're looking for the values of x that bound the region where the graph is below the x-axis. Those are shown in the attachment. For graphing purposes, I find this comparison to zero works well.
__
For an algebraic solution, I like the compound inequality method shown above. That only works well when the inequality is of the form ...
|f(x)| < (some number) . . . . or ≤
If the inequality symbol points away from the absolute value expression, or if the (some number) expression involves the variable, then it is probably better to write the inequality in two parts with appropriate domain specifications:
|f(x)| > g(x) ⇒ f(x) > g(x) for f(x) > 0; or -f(x) > g(x) for f(x) < 0
Any solutions to these inequalities must respect their domains.
Then, the median is found by taking the mean (or average) of the two middle most numbers.