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Novosadov [1.4K]
3 years ago
13

Samantha received a loan from the bank of 4500 she’s plans on paying off the loan and for years at the end of four years Samanth

a will have paid 900 in interest wise the simple interest rate on the bank loan
Mathematics
1 answer:
zheka24 [161]3 years ago
6 0
At the end it will be 20% interest.
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What is the effect on the graph of the function f(x) = x^2 when f(x) is changed to f(x − 6)
olya-2409 [2.1K]

Answer:

The comparison graph is also attached in 3rd figure. In the 3rd figure, the graph with vertex (0, 0) is representing f(x) = x^2 and \:f\left(x\right)=\left(x-6\right)^2 is represented as being shifted 6 units to the right as compare to the function f(x) = x^2.

Step-by-step explanation:

When we Add or subtract a positive constant, let say c, to input x, it would be a horizontal shift.  

For example:

Type of change               Effect on y = f(x)

y = f(x - c)                      horizontal shift: c units to right

So

Considering the function

f(x) = x^2

The graph is shown below. The first figure is representing f(x) = x^2.

Now, considering the function

\:f\left(x\right)=\left(x-6\right)^2

According to the rule, as we have discussed above, as a positive constant 6 is added to the input, so there is a horizontal shift, 6 units to the right.

The graph of \:f\left(x-6\right)=\left(x-6\right)^2 is shown below in second figure. It is clear that the graph of  \:f\left(x-6\right)=\left(x-6\right)^2  is shifted 6 units to the right as compare to the function f(x) = x^2.

The comparison graph is also attached in 3rd figure. In the 3rd figure, the graph with vertex (0, 0) is representing f(x) = x^2 and \:f\left(x\right)=\left(x-6\right)^2 is represented as being shifted 6 units to the right as compare to the function f(x) = x^2.

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2 years ago
The perimeter of the triangular park shown on the right is 10x - 3. What is the missing length?
viva [34]

Answer:

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Step-by-step explanation:

Okay this is basically polynomial algebra:

1. Add the value of the lengths already given.

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2. Find the difference between the perimeter and the sum of the lengths.

(10x -3) + (4x + 2) = 6x - 1

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