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2 years ago

Solve the system of equations: 4x - 3=-2x + 9

Mathematics

2 answers:

Karolina [17]2 years ago

8 0

Answer:

x=2

Step-by-step explanation:

Step 1: Add 2x to both sides.

4x−3+2x=−2x+9+2x

6x−3=9

Step 2: Add 3 to both sides.

6x−3+3=9+3

6x=12

Step 3: Divide both sides by 6.

6x = 12

6 6

x=2

zlopas [31]2 years ago

6 0

Answer:

42 as i dont know so ask jeff ma boy from da sewers

Step-by-step explanation:

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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

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2 years ago

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The cost of a skateboard is $60. it went on sale and is now 33% off. what is the amount of the skateboard now?

Law Incorporation [45]

To find the answer for this question, you need to convert your percent to a fraction. (33/100) You will multiply 60 by 33/100, and get 19.8. That shows you the discount you are getting. Finally, you need to subtract 19.8 from 60, getting you a final answer of $40.2.

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2 years ago

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A building 190 feet tall casts a 90 foot long shadow. if a person stands at the end of the shadow and looks up to the top of the

Ivahew [28]

Answer:

About 64.65 degrees

Step-by-step explanation:

$\tan(x) = \frac{190}{90}$

$x = { \tan}^{ - 1} \frac{190}{90} = 64.65$

Make sure your calculator is in degree mode.

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1 year ago

An observation deck extends 120 feet out above a valley. The deck sits 70 feet above the valley floor. If an object is dropped f

Rzqust [24]

Answer:

Step-by-step explanation:

The height formula given is:

h = -16t^2 + 70

That means the object will be initially (t=0) at the height 70 feet, from where it will be dropped.

If we want to know the time when the object will be at height 6 feet, we just need to use h=6 in the equation, and then calculate the value of t:

6 = -16t^2 + 70

16t^2 = 64

t^2 =4

t = 2 s

So, it will take 2 seconds for the object to be 6 feet above the valley floor.

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2 years ago

It’s a bonus question on a work sheet I need your help.

xz_007 [3.2K]

Answer:

I think 5 because they both go into it

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1 year ago