Help me with number 11 please
1 answer:
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Answer:
Step-by-step explanation:
so the question lets us know 3 things:
1) Sarah has a 27 ft pipe
2) she cuts 6 ft off
3) she cuts remaining pipe into 7 equal sections
what we don't know from the question is how big each of those 7 sections were. To form the equation we do this.
Since we know Sarah has 27 ft of pipe that would be our answer of the equation.
Sarah also removed 6 ft and the rest of the pipe she cut up into 7 small sections of equal length. since we don't know the length of the 7 smaller sections we will use the variable X to represent the length. this means that 6ft + 7x (X is the length of the pipes, and we multiply by 7 since there are 7 of them) must equal Sarah's total length of 27ft, therefore meaning our education would be
to solve for how long each pipe was, we need to solve for X by rearranging the equation as shown bellow.
The y-intercept of a function is the point where the graph crosses the
- The factors of the Jared's graph are: (x - 10), (x + 3) and (x + 9)
- The y-intercept is -13.5
- The standard equation of the function is:
<u>(a) The factors</u>
First, we write out the points where the function cross the x-axis.
The points are:
Equate the above points to 0
Hence, the factors are: (x - 10), (x + 3) and (x + 9)
<u>(b) The y-intercept</u>
This is the point where the graph crosses the y-axis.
From the attached graph, the graph crosses the y-axis at -13.5.
Hence, the y-intercept is -13.5
<u>(c) The standard form</u>
In (a), we have:
Multiply the above equations
Expand
Expand
Collect like terms
Replace 0 with y
Hence, the standard form is:
Read more about graphs and functions at:
