Good evening,
Answer:
x > 5
x ≤ 12
Step-by-step explanation:
Visualize as if the inequality symbols are equal signs and then solve it as you would for a normal equation, note if you divide by two negative numbers at all you then switch the sign.
On a number line, an inequality sign without the “equal to” is plotted with an open circe.
An inequality sign, with the “equal to” is plotted with a closed circle.
3x - 7> 8
Add seven on both sides, we do this because we want to eliminate the 7 from one side.
3x > 15
Divide both sides by 3, we do this because you want to get rid of the 3 from x.
x > 5
As for the second inequality.
Divide both sides by -3, as I mentioned earlier switch the side since we are dividing by two negative numbers.
x ≤ 12
For the greater than inequality x > 5, plot a open circle on 5 and draw the line going to the right.
For the less than or equal to inequality x ≤ 12, plot a closed cirlce on 12 and draw the line going to the left.
A unique trick is to graph the line based on the direction (right or left) the inequality symbol is pointing to.
Answer:
Since, the prime factors of 63 are 3, 7. Therefore, the product of prime factors = 3 × 7 = 21.
Step-by-step explanation:
Y=6+2x
Since y equals the total cost, it will be on its own in the equation. 6 dollars is a set amount, meaning that no matter how many apples they pick it’ll stay the same. HOWEVER, the cost will change depending on how many pound of apples they get
Every pound of apples is equal to 2 dollars, and since x stands for pounds of apples, it’ll be ( ex: x = 2, so 2x = 2(2) = 4)
So the equation will be y = 6 + 2x
I hope this helps
Given:
Profit = 372.60 + 17.2(advertising dollars)
Advertising dollars = 1,020
profit = 17,500
17,500 + residual value = 372.60 + 17.2(1,020)
17,500 + residual value = 372.60 + 17,544
17,500 + residual value = 17,916.60
residual value = 17,916.60 - 17,500
residual value = 416.60
residual value is 416.60 or 417 rounded off to the nearest integer
C. 60%
The probability that a person surveyed is 40 or older and gets the news by reading the paper is 60%.
Step-by-step explanation:
In our case, we have to find the probability of a person getting their news by reading the paper. But we are given with a condition that the person must be 40 or older.
The survey is conducted among 80 people.
Number of people aged 40 or older = 40
No of people aged 40 or older and read paper = 24
Probability formula is the ratio of number of favorable outcomes to the total number of possible outcomes.
Probability of a person aged 40 or older reads a paper =
(No. of People aged 40 or older and read paper)/(No. of people aged 40 or older)
= 24/40
= 0.6
= 60%
Learn more about probability from brainly.com/question/10694003
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