Simplify:
1 answer:
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Answer:
A)
Step-by-step explanation:
Given:
A graph of a function.
When we analyze the given graph, it is of a <em>parabola</em>.
To find:
The interval of values of where the function is increasing.
Solution:
First of all, let us learn about the meaning of increasing and decreasing functions.
1. A function is known as increasing in an interval
when
Value of y keeps on increasing when we move from the value of x from a to b.
2. A function is known as decreasing in an interval
when
Value of y keeps on decreasing when we move from the value of x from a to b.
On analyzing the given graph , we can see that the graph is decreasing on the interval:
and is increasing on the interval:
When we choose from the options,
The correct answer is option A)
To convert a fraction to simplest form we need to find the greatest common factor.
The fraction can not be simplified because it is already in simplest form but we can change it to a mixed fraction.
Steps to solve
<span>1) Set up the long division.
</span>
<span>2) Calculate 13 ÷ 8, which is 1 with a remainder of 5.
</span>
3) Bring down 7, so that 57 is large enough to be divided by 8.
4) Calculate 57 ÷ 8, which is 7 with a remainder of 1.
<span>5) Bring down 7, so that 17 is large enough to be divided by 8.
</span>
<span>6) Calculate 17 ÷ 8, which is 2 with a remainder of 1.
</span>
<span>7) Therefore, 1377 ÷ 8 = 172 with a remainder of 1.
</span>
<span>Express as a mixed fraction = </span>
The fraction can not be simplified because it is already in simplest form but we can change it to a mixed fraction.
Steps to solve
<span>1) Set up the long division.
</span>
<span>2) Calculate 13 ÷ 8, which is 1 with a remainder of 5.
</span>
3) Bring down 7, so that 57 is large enough to be divided by 8.
4) Calculate 57 ÷ 8, which is 7 with a remainder of 1.
<span>5) Bring down 7, so that 17 is large enough to be divided by 8.
</span>
<span>6) Calculate 17 ÷ 8, which is 2 with a remainder of 1.
</span>
<span>7) Therefore, 1377 ÷ 8 = 172 with a remainder of 1.
</span>
<span>Express as a mixed fraction = </span>