Use the diagram to find the indicated angle measures.

Mathematics

1 answer:

Ivan3 years ago

6 0

A gardener can increase the number of dahlia plants in an annual garden by either buying new bulbs each year or dividing the existing bulbs to create new plants . The table below shows the expected number of bulbs for each method

Part A
For each method,a function to model the expected number of plants for each year

Part B
Use the Functions to Find the expected number of plants in 10 years for each method.

Part C
How does the of plants in five years compare to the expected number of plants in 15 years !Explain how these patterns could affect the method the gardener decides to use. ANSWEr

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Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. x2+3/2x

denis23 [38]

Answer:

The added term needed for that expression to be a square is 9/16.

Step-by-step explanation:

We're provided with two terms, and asked to add an additional term to make this a perfect square. For this to work, the term needs to be a scalar value that is the square of half the coefficient of the second term.

That coefficient is 3/2, so half of that is 3/4, and its square is 9/16.

If we tack that on the end then, we get:

$x^2 + \frac{3x}{2} + \frac{9}{16}\\=(x + \frac{3}{4})^2$

To confirm the answer, let's expand it and see if we get the original expression:

$(x + \frac{3}{4})^2\\= (x + \frac{3}{4})(x + \frac{3}{4})\\= x^1 + \frac{3x}{4} + \frac{3x}{4} + \frac{9}{16}\\= x^2 + \frac{6x}{4} + \frac{9}{16}\\=x^2 + \frac{3x}{2} + \frac{9}{16}$