Answer:
- <em>See attached</em>
a)
<u>The table:</u>
- <u>x | -3 | -2 | -1 | 0 | 1 | 2 | 3</u>
- y | -5 | -3 | -1 | 1 | 3 | 5 | 7
b)
- The graph is pictured
c)
- The y-intercept has coordinates of (0, 1)
Twelve students have equally likely chance of being selected in a drawing at school. Eight are girls and four are boys. What is
2 answers:
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The option that is true with regard to the following functions is Option B. "The domain g(x) and h(x) include all real number while the domain of i(x) and h(x) are restricted"
<h3>What is the explanation for the above?</h3>- Lets examine f(x) = 3x + 14
Note that this function is indicative of a straight-line. See the attached graph for function 1. Note that it doesn't have any end points. That is, it is Asymptote.
- Let us examine h(x) = 3ˣ + 1
This represents an exponential graph. Just like the function above it doesn't have any end point. It however has an asymptote:
y = 0
- Let us look at F'(x) = Log₃ (x = 1).
This is indicative of logarithm graph. It doesn't have any end but has an asymptote x == 0
- Let us take a look at g(x) = X⁴ + 3x² - 14
Notice that in the mid point there is an end point given as (0, -14). Thus, it is correct to state that the function in Option B is the only one that exhibits end behavior and as such is restricted.
Learn more about functions:
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Answer:
The maximum number of packages that can be made with each package have same number of each item is = 6
Step-by-step explanation:
Given:
Mr. Harris has 48 pencils and 30 notebooks.
To find the number of packages he can make with each package have same number of each item.
Solution:
Number of pencils = 48
Number of notebooks = 30
In order to find the number of packages he can make with each package have same number of each item, we will find the greatest common factor of the given numbers.
<em>To find the G.C.F., we will list down the prime factors of each.</em>
We find that the G.C.F. = = 6
Thus, the maximum number of packages that can be made with each package have same number of each item is = 6