Which function is represented by the graph below? graph begins in the second quadrant near the x−axis and increases slowly while
2 answers:
Answer:
Step-by-step explanation:
Given that the function is represented by the graph below, which begins in the second quadrant near the x−axis and increases slowly while crossing the ordered pair 0, 1. When the graph enters the first quadrant, it begins to increase quickly throughout the graph
Because it passes through (0,1) it is of the form
Also for negative x large it is very near x axis, So a must be positive then only it increases faster in the I quadrant. Range is only posiitve real numbers
So the function is
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check the picture below.
it cannot be -1, because is a seconds amount after moving.
Answer:
1) There were 33 $4,000 investors and 27 $8,000 investors.
2) The solution in x = 4, y = 9.
3) There were 24 nickels and 56 dimes.
Step-by-step explanation:
1) A lawyer has found 60 investors for a limited partnership to purchase an inner-city apartment building, with each contributing either $4,000 or $8,000. If the partnership raised $348,000, then how many investors contributed $4,000 and how many contributed $8,000?
I am going to say that:
x is the number of investors that contributed 4,000.
y is the number of investors that contributed 8,000.
Building the system:
There are 60 investors. So:
In all, the partnership raised $348,000. So:
I am going to simplify by 4000. So:
Solving the system:
The elimination method is a method in which we can transform the system such that one variable can be canceled by addition. So:
I am going to multiply 1) by -1. So we have
By addition, the x are going to cancel each other
For x:
There were 33 $4,000 investors and 27 $8,000 investors.
2) Solve the system by row-reducing the corresponding augmented matrix.
This system has the following augmented matrix:
To help the row reducing, i am going to swap the first with the second line:
So we have:
Now, reducing the first column.
So we have:
Now we do:
And the matrix is:
Now to reduce the second column, we do:
.
So the solution is:
x = 4, y = 9.
3) A jar contains 80 nickels and dimes worth $6.80. How many of each kind of coin are in the jar?
I am going to say that x is the number of nickels and y is the number of dimes.
Each nickel is worth 5 cents and each dime is worth 10 cents.
Building the system:
There are 80 coins in all:
They are worth $6.80. So:
Solving the system:
I am going to divide 1) by -10, so we can cancel y. So:
Adding:
*(-100)
Also
There were 24 nickels and 56 dimes.
See the attached image for what the synthetic division table would look like. The cell highlighted in yellow is the remainder.
Final Answer: Choice D) 4
Final Answer: Choice D) 4