For this case we have the following system of equations:
We observe that we have a quadratic equation and therefore the function is a parabola.
We have a linear equation.
Therefore, the solution to the system of equations will be the points of intersection of both functions.
When graphing both functions we have that the solution is given by:
That is, the line cuts the quadratic function in the following ordered pair:
(x, y) = (1, 2)
Answer:
the solution (s) of the graphed system of equations are:
(x, y) = (1, 2)
See attached image.
Answer:
D(1, –5), (7, 1), (–11, 7)
Step-by-step explanation:
The given inequalities are:
y + x ≥ –4
y ≥ x – 6
3y + x ≤ 10
We graph the inequalities as shown in the attachment.
The coordinates of the vertices of the figure formed by the given system of inequalities are:
(1, –5), (7, 1), (–11, 7)
The correct choice is D.
Answer: 1. 3801
Step-by-step explanation:
Log 24 = Log(8x3)
From the laws of Logarithm
Log ( a xb) = Log a + Log b
so, Log (8x3) = Log8 + Log 3
Also Log 8 can be written as Log since is still 8 , so the expression becomes
Log + Log 3
⇒ 3 Log 2 + Log 3
since the value of Log 2 and Log 3 has been given , substitute into the expression , we have
3 (0.3010) + 0.4771
= 0.903 + 0.4771
= 1.3801
Answer:
x = ± √3 = ± 1.7321
x = 1
x = -1
Step-by-step explanation:
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Given that a<span> passenger elevator in the sears tower in Chicago can lift people 960 feet in 1 minute and 30 seconds (1.5 minutes). This means that the lift is travelling with a speed of:
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If the elevator lifts cargo through the same height in 2 minutes and 30 seconds (2.5 minutes), then the speed is given by:
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