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3 years ago

The figure shows the letter Z and four of its transformed images—A, B, C, and D:

Mathematics

1 answer:

tiny-mole [99]3 years ago

3 0

Given:

The figure shows the letter Z and four of its transformed images—A, B, C, and D.

To find:

Which of the following rules will transform the pre-image of Z in quadrant 2 into its image in quadrant 1?

Solution:

From the figure it is clear that the pre-image of Z in quadrant 2 and its image in quadrant 1 (image A) are the mirror image of each other along the y-axis.

It means the pre-image of Z in quadrant 2 reflected across the y-axis to get the image in quadrant 1.

If a figure reflected across the y-axis, then rule of transformation is

$(x,y)\to (-x,y)$

So, the rule $(x,y)\to (-x,y)$ transform the pre-image of Z in quadrant 2 into its image in quadrant 1.

Therefore, the correct option is c.

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Answer:

(f⋅g)(x) $= x^7 + 9x^4 - 9x^3 -81$

$(f - g)(x) = x^3 - 6x^2 + 18x + 6x - 10$

Step-by-step explanation:

For the first part of the question we have two functions

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If the expression refers to the multiplication of f and g, then:

(f⋅g)(x) $= f (x)g(x)$

So we multiply the function f(x) with the function g(x)

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(f⋅g)(x) $= x^7 + 9x^4 - 9x^3 -81$

For the second part we have the functions:

$f(x) = x^3 -2x^2 + 12x - 6\\\\g(x) = 4x^2 - 6x + 4$

We wish to find (f - g) (x). We know that

$(f - g)(x) = f(x) - g(x)\\\\(f - g)(x) = x^3 - 2x^2 + 12x - 6 - [4x^2 - 6x + 4]\\\\(f - g)(x) = x^3 - 2x^2 + 12x - 6 -4x^2 + 6x - 4$

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4 years ago

If you blink your eyes 65 times in 5 minutes, how many times would you blink your eyes in 80 minutes?

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Use two points to enter an equation for the function. Give your answer in the form a(b)^n. In the event that a = 1, give your an

levacccp [35]

Answer:

$m(n) = 24 (0.75)^n$

Step-by-step explanation:

1) The two points are:

a) On the first swing she swings forward by 18 degrees: (1, 18)

b) On the second swing she only comes 13.5 degrees forward: (2,13.5)

2) The general equation using the form given is:

$m(n)=A(B)^n$

3) Substitute the two points:

$18=A(B)\\ \\ 13.5=A(B)^2$

4) Divide the second equation by the first one:

⇒ 13.5 / 18 = B

⇒ B = 0.75

5) Substitue B = 0.75 into the first equation:

18 = A (0.75) ⇒ A = 18 / 0.75 = 24

Hence, the equation is:

$m(n) = 24 (0.75)^n$

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3 years ago

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IrinaVladis [17]

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This graph has two evens. Because its negative, only one is possible - the first graph.

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