A shark swims at a constant rate of 25 miles per hour. If h represents the number of hours, and m represents the total number of
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Answer:
a) -2, 1 and 2
b) 4
Step-by-step explanation:
The given equation is:
g(x) = (x + 2)(x - 1)(x - 2)
Part a1 and a2) Finding zeros of the function
By zeroes of the function we mean the points the graph where the value of the function is zero. In order to find the zeroes of the function we equate the function equation to zero and find the corresponding values of x. This is shown below:
0 = (x + 2)(x - 1)(x - 2)
According to the zero product property, we can write:
x + 2 = 0 ⇒ x = -2
x - 1 = 0 ⇒ x = 1
x - 2 = 0 ⇒ x = 2
Therefore, the zeroes of the given function are -2, 1 and 2. In ordered pairs we can write these as (-2, 0), (1, 0) and (2, 0)
Part b1 and b2) y-intercept of the function
y-intercept is the point on the graph where the function crosses the y-axis. Since on y-axis, the value of x coordinate is zero, in order to find the y-intercept we simply substitute zero for all occurrences of x. This is shown below:
g(0) = (0 + 2)(0 - 1)(0 - 2)
g(0) = 2(-1)(-2)
g(0) = 4
Thus, the y-intercept of the function is 4, which in ordered pair can be written as (0, 4)
Part c) End behavior of the graph
End behavior of the graph depends on:
- Sign of the leading coefficient
- Degree of the function
Degree of the function is 3 i.e. odd and sign of leading coefficient is positive. This means the end behavior of the graph will be:
- Rising towards Right end
- Falling towards Left end
Part d) Graph of polynomial
Based on all the above discussion, a graph of the function can be plotted. The graph is attached below.
Answer:
56
Step-by-step explanation:
Basically you want to find out what is 70% of 80.
first you have to set up your problem
=
the first fraction would be the percent (70) over 100. (you always use 100)
The fraction to the left would be n over 80. the denominator (the number on the bottom) would be the whole amount. n would be the unknown number
To solve you would use the butterfly method. 80 x 70 and 100 x n. 80 x 70 is 5600 and 100 x n is 100n.
The final step is dividing. 5600 divided by 100 giving you 56