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maksim [4K]
3 years ago
5

Can someone help me with these questions.

Mathematics
1 answer:
Novay_Z [31]3 years ago
6 0

Answer:

C ( x = 2 (multiplicity of 2), x = -2, x = -4)

A ( x = 5 (crosses), x = -3 (touches))

Step-by-step explanation:

Here are a couple of rules that helped me come to these answers.

1. When finding a zero, you flip the value inside of the parenthesis. For example (x + 2) would have the zero of x = -2.

2.The multiplicity of something is how many times the same zero is there. It is the exponent outside of the equation. For the first question, the (x - 2) has an exponent of 2, thus it has the multiplicity of 2.

3. The multiplicity determines whether the line just touches (or "bounces" off) the x axis or crosses the x axis. If the multiplicity is odd, it crosses the axis. If the multiplicity is even, it just touches the axis. A good way to remember this is with linear and quadratic equations. A linear is commonly know as only having an exponent of 1 (an odd) number and would cross the x axis. A quadratic equation has an exponent of two (an even number) so the line "bounces" on a graph.

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Rhana buys a skateboard for which the original price is $130.oo and an in-line skates with an  original price of $ 290.00. Pedro buys a baseball glove for which the original price is $160.00  and in- line skates with an original price of $210.00. There is also a 5% tax on the sale of all  sporting goods. Who spent less money at the sporting goods store?

Step-by-step explanation:

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4 years ago
Find f(t – 3) for f(x) = 4x^2 – 8x + 4.
Vladimir79 [104]

Answer:

<h2>A. 4t² - 32t + 64</h2>

Step-by-step explanation:

Instead of x put (t - 3) in the equation of the function f(x) = 4x² - 8x + 4:

f(t - 3) = 4(t - 3)² - 8(t - 3) + 4

<em>use (a - b)² = a² - 2ab + b² and the distributive property a(b + c) = ab + ac</em>

f(t - 3) = 4(t² - (2)(t)(3) + 3²) + (-8)(t) + (-8)(-3) + 4

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3 years ago
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