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3 years ago

What belongs in the box marked with the question mark in the proof?

Mathematics

1 answer:

IgorLugansk [536]3 years ago

8 0

Start with the given 4x + 1 = 6x - 2.

Combining like terms, we get 3 = 2x, from which we later get x = 3/2.

Where the question mark appears, write, "Reverse the order of 3/2 = x to obtain x = 3/2."

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Use the zero product property to find the solutions to the equation x2 – 9 = 16.

zvonat [6]

Answer: x=5 or x=−5

Step-by-step explanation:

4 0

3 years ago

The function f(x) = One-sixth (two-fifths) Superscript x is reflected across the y-axis to create the function g(x). Which order

Gekata [30.6K]

The ordered pair (-3 , $\frac{4}{375}$ ) is on g(x) ⇒ 1st answer

Step-by-step explanation:

Let us revise the reflection across the axes

If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x) (change the sign of y)
If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x) (change the sign of x)

∵ $f(x)=\frac{1}{6}(\frac{2}{5})^{x}$

∵ f(x) is reflected across the y-axis to create the function g(x)

- Change the sign of x

∴ $g(x)=\frac{1}{6}(\frac{2}{5})^{-x}$

To find the point that lies on g(x) substitute x in g(x) by the x-coordinate of the point if the answer equal to the y-coordinate of the point, then the point lies on it if not then the point does not lie on it

∵ The coordinates of the point are (-3 , $\frac{4}{375}$ )

∴ x = -3 and y = $\frac{4}{375}$

- Substitute x by -3 in g(x)

∵ $g(x)=\frac{1}{6}(\frac{2}{5})^{-x}$

∴ $g(x)=\frac{1}{6}(\frac{2}{5})^{-(-3)}$

∴ $g(x)=\frac{1}{6}(\frac{2}{5})^{3}$

∵ $(\frac{2}{5})^{3}=\frac{2^{3}}{5^{3}}=\frac{8}{125}$

∴ $g(x)=\frac{1}{6}(\frac{8}{125})$

∴ $g(x)=\frac{8}{750}$

- Divide up and down by 2

∴ $g(x)=\frac{4}{375}$

∵ The value of g(x) equal to the y-coordinate of the point

∴ The point (-3 , $\frac{4}{375}$ ) lies on g(x)

The ordered pair (-3 , $\frac{4}{375}$ ) is on g(x)

Learn more:

You can learn more about the reflection in brainly.com/question/5017530

#LearnwithBrainly

9 0

3 years ago

Read 2 more answers

Marissa thinks that there could be a pattern between the scale factor and perimeter of an image and its pre-image

Alla [95]

Answer:

You should repent God is coming soon

5 0

3 years ago

there are 239 people in the first six rows of the movie theater if the same number of people are in the next six rows about how

bija089 [108]

Answer:

478 people

Step-by-step explanation:

All you need to do for this problem is simply multiply 239 by 2. If the first 6 rows are 239 people, and so are the next 6, that's all you need to do.

239*2=478

8 0

3 years ago

Find the value of Y

Anna35 [415]

Answer:

y=19

Step-by-step explanation:

2y + 2 = 180 - 120 -20

2y = 40 - 2

2y = 38

y=19

7 0

3 years ago