Answer:
Option d is right
Step-by-step explanation:
A function is called one to one if two x will not have same y value.
In other words, in the domain each x is matched with a unique y and if x1 not equals x2 we have the corresponding y1 will not be equal to y2.
In the graph given, we find that the y value say 1 has preimages in both to the right of y axis and to the left of y axis.
Hence this is not one to one.
This is a function because each x has a unique image. If we draw a vertical line in any part of the graph we find that it cuts only one time the graph of f(x)
Hence f is a function but not one to one. A one to one function need not pass through the origin.
Hence we find that of the options given, a,b and c are wrong.
But option d is right.
Answer:
12m²
Step-by-step explanation:
For a rectangle, with length L and width W,
the perimeter is given as
Perimeter,
P = (2 x Length) + (2 x Width)
P = 2L + 2W
It is given that the perimeter is 48, hence
48 = 2L + 2W (divide both sides by 2)
24 = L + W
or
L = 24 - W -----> eq 1
Also realize that the Area of a Rectangle is given by
A = L x W -----> eq 2
Substituting eq 1 into eq 2,
A = (24 - W) x W
A = -W² + 24W
Recall that for a quadratic equation y = ax² + bx + c, the maxima or minima is given by y(max) = -b/2a
In this case, b = 24 and a = -1
-b/2a = -24/[ 2(-1) ] = 12
Hence for A to be maximum A(max) = 12m² (Answer)
Answer:
Step-by-step explanation:
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We are using a line regression tool to solve the parameters asked in the problem. We can use online tools or that of Excel. According to the tool, the best fit values are
<span><span> </span><span>Slope0.3848 ± 0.03956
</span><span>Y-intercept0.6053 ± 0.6370
</span><span>X-intercept-1.573
</span><span>1/Slope<span>2.598
Best fit lines make sure that the standard deviation at each point is minimum from the best fit line.</span></span></span>
Answer:
10
Step-by-step explanation:
sin30° = 
= 
