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
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<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.
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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.
Answer:
31.4
Step-by-step explanation:
2x3.14x5=31.4
(2x3.14xRadius)
Please Give Me Brainliest lol
First you make -1 and 3/4 have a common denominator. 1 has a fraction of 1/1 so times four it is 4/4. Then you add on both sides in order to isolate x and you get 3/10x = 7/4.
Then you isolate x by multyiplying the reciprocal of 3/10 on both sides, 10/3.
3/10 and 10/3 cancel out and you get an answer of x = 70/4.
You could then simplify it to get 35/6 by finding a greasted common multiple of 12 and 70 which is 2 and dividing both by 2 to get a simpilier answer.
So the answer is x = 35/6
Answer:
The mean reflects the best measure of the center
Step-by-step explanation:
12, 13, 13, 14, 21, 22, 23
Median: 14
Mean: 16.86
The mean reflects the best measure of the center
Using arithmetic and the information provided, there were 6 persons at the party.
<h3>Number of people at the party</h3>
The question is asking us to use the cost of the plates served to each person to calculate the number of people in the party from the information available in the question.
- Normal charge of a plate of food = $95
- Additional charge on each plate of food = $12.75
- Total cost of the party = $656
- Total cost of food for each person = $95 + $12.75 = $107.75
Number of people at the party can be obtained from; Total cost of food at the party/ Total cost of each plate of food
= $656/ $107.75 = 6 persons
Learn more about arithmetic: brainly.com/question/2171130