1/3x + 2 = 4/3x - 5
2 + 5 = 4/3x - 1/3x
7 = x
y = 1/3(7) + 2
y = 7/3 + 2
y = 7/3 + 6/3
y = 13/3
solution is : (7,13/3) <=
Answer:
(0, -3) and (2, 1)
Step-by-step explanation:
There are 5 points marked on the graph: (±2, 1), (±1, -2) and (0, -3). These are solutions to the equation describing the function:
... y = x² - 3
Apparently, you are being asked to report the coordinates of any two of these points.
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<em>Comment on the problem</em>
The wording "solutions to the function" is a bit odd. An equation has solutions—values of the variables that make it be true. A function is a relationship between values, a definition. There is nothing to solve.
In the above we have assumed the intent is to find (x, y) pairs that match the function definition. Sometimes, we're interested in values of x that make y be zero. (x, y) = (±√3, 0) It isn't obvious what the intent of this question is.
Answer:
1.782
Step-by-step explanation:
8.91 ÷ 5= 1.782
Start by adding up the total sales in 2011 and 2012. You can make approximate estimates for the bars that are between lines. Since everything is in millions, you can ignore the 6 zeros behind every number to speed up your calculation:
1) In 2011, Asia sold 250, America sold 325, Europe sold ~210, Africa sold 150. The total in 2011 was 250+325+210+150 = 935.
2) In 2012, Asia sold ~130, America sold ~280, Europe sold ~230, and Africa sold ~140. The total in 2012 was 130+280+230+140=780.
Now find the percent decrease. Percentage decrease is basically what percent of your original number was subtracted from that original number to get the new number.
Percent decrease is calculated by (1) calculating the decrease from original number-new number, then (2) dividing that decrease by the original number, and then (3) multiplying your quotient by 100% to get a percentage:
1) Your original number is 935, from 2011, because that's the year you started out with. Your final number is 780, from 2012. The decrease is: 935-780 = 155.
2) Divide 155 by your original number. 155/935 ≈ 0.17
3) Finally multiply your quotient from step 2 by 100% to get your percent decrease: 0.17*100% = 17%.
The answer is A) 17.
