Answer:
Step-by-step explanation:
The first thing you have to do is look at the mother curve. That curve is y = 1/x
It becomes undefined at x = 0 (I will show both curves below).
That is not what has been given. The graph you have been given becomes undefined at x = - 1 , so the equation of the curve (so far) y = 1/(x + 1)
Now we have to worry about the y intercept. When x = 0, y = 4. That can be accomplished in two ways
A. y = 4/(x + 1) or
B. y = 2/(x + 1) + 2 or
C. y = 1/(x + 1) + 3
All three of these will give a value of y = 4 when x = 0. But you have 1 problem left. What happens as x goes to say 5.
The value of A will give y = 4/(5 + 1)=4/6 = 2/3. Which does not work.
The value of C will give y = 1/(5 + 1) + 3 which gives 3 1/5 which also does not work.
Only B works. y = 2/(5+1) + 2 = 2/6 + 2 = 2 1/3 which is a little above the horizontal asymptote.
Red: y = 1/x
Blue: y = 2/(x + 1) + 2
The value at the end is never going to change. y will always be just a bit
7.) Area of a square pyramid is given by A = s^2 + 2sl; where s is the side length of the base and l is the slant height.
Area of given pyramid = 4^2 + (2 x 4 x 7) = 16 + 56 = 72 ft^2
8.) Area of the given pyramid is the area of the hexagonal base plus the area of the six slant triangles.
Area of hexagonal base = (3sqrt(3))/2 x 10^2 = 150 x 1.732 = 259.8
Area of the 6 traingles = 6(1/2 x 10 x 13) = 6 x 65 = 390
Total surface area of the pyramid = 259.8 + 390 = 649.8 ≈ 650 m^2
9.) Using pythagoras rule, the slant height is sqrt(6^2 + 3.5^2) = sqrt(36 + 12.25) = sqrt(48.25) = 6.9 mm
10.) The surface area of a cone is given by πr^2 + πrl
Area = π x 6^2 + π x 6 x 20 = 36π + 120π = 490.1 cm^2
11.) l = sqrt(r^2 + h^2) = sqrt(11^2 + 16^2) = sqrt(121 + 256) = sqrt(377) = 19m
Given exponential function:
Let us obtain three points including the y-intercept so that we can plot the function y = f(x)
When x =0:
when x =1:
when x =2:
We have the points : (0, 1), (1, 1/5), and (2, 1/25)
Using these points, let us provide a sketch of the plot of y =f(x). We have the plot as shown below:
They did make the same color
<h2>
Answer:</h2>
<u><em>As a percent, the odds of having an allergic reaction would be 2%.</em></u>
This is because 1 in 50 of a chance, is equal to 1/50, and to make this a percent out of 100, just multiply both parts of the fraction by 2.
None of the choices equal 1/50, so let's just make it a percentage anyway.
1/50 ---> 0.02
0.02 ---> 2%
<em>The answer is 2%, or 1/50 as a fraction.</em>
