It is not equivalent to the original
The range of the given graph is [5, ∞).
Range.
Range refers the set of possible output values, and if we have the graph, then the set of all possible y values on the graph is defined as the range.
Given,
Here we have the graph.
Through the given graph we have to find the range of the line.
As per the definition of range, we have identified that the range take the value of y axis.
While we lookin into the given graph, we have identified that the starting point of the line is
=> (0, 5)
In this point 0 refers the x coordinate and 5 refers the y coordinate. So, the starting range is 5.
And the end of the line is not pointed.
So, we can consider that this line goes infinitely.
So, the range of the graph is [5, ∞).
To know more about Range here.
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The answer can be readily calculated using a single variable, x:
Let x = the amount being invested at an annual rate of 10%
Let (8000 - x) = the amount being invested at an annual rate of 12%
The problem is then stated as:
(x * 0.10) + ((8000 - x) * 0.12) = 900
0.10(x) + ((8000 * 0.12) - 0.12(x)) = 900
0.10(x) + 960 - 0.12(x) = 900
0.10(x) - 0.12(x) = 900 - 960
-0.02(x) = -60
-0.02(x) * -100/2 = -60 * -100/2
x = 6000 / 2
x = 3000
Thus, $3,000 is invested at 10% = $300 annually; and $8,000 - $3,000 = $5,000 invested at 12% = $600 annually, which sum to $900 annual investment.
Answer:
-(x-8)(x+6)
Step-by-step explanation:
-x^2+2x+48
-(x^2-2x-48)
-(x-8)(x+6)
The trick is to find two numbers that when they multiply, you get the third term, which in this case, is -48. And when you add those two numbers, you get the second term, which is -2 in this case. The two numbers in this case are -8 and 6.
