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pychu [463]
3 years ago
7

How to solve 3x - 4 = 11+10

Mathematics
2 answers:
gavmur [86]3 years ago
5 0

Answer:

Simplifying

3x + -4 = 11 + 10

Reorder the terms:

-4 + 3x = 11 + 10

Combine like terms: 11 + 10 = 21

-4 + 3x = 21

Solving

-4 + 3x = 21

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + 3x = 21 + 4

Combine like terms: -4 + 4 = 0

0 + 3x = 21 + 4

3x = 21 + 4

Combine like terms: 21 + 4 = 25

3x = 25

Divide each side by '3'.

x = 8.333333333

Simplifying

x = 8.333333333

Step-by-step explanation:

Mamont248 [21]3 years ago
3 0

Answer:

x= 25/3 or 8.333333

Step-by-step explanation:

you add 11 to 10 to get 21

3x-4=21

add 4 to both sides, which will cancel out the (-4)

3x=25

divide each term by 3 to get x by itself

3x/3 = 25/3

you will then get x=25/3

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Lucy is going to the grocery store. She will buy 5 items. Every item she will buy is $2. Afterward, she will buy herself a milk
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3 0
4 years ago
F(x) = x^2. What is g(x)
Alexeev081 [22]

Answer:

g(x) = - x² - 4 ⇒ A

Step-by-step explanation:

Let us revise the reflection and translation of a function

  • If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
  • If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)
  • If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)  
  • If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)  
  • If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k  
  • If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) – k  

f(x) = x² is the blue curve

g(x) is its image is the red curve

∵ g(x) is the image of f(x)

∵ f(x) is opened upward

∵ g(x) is opened downward

→ That means the sign of y-coordinates of all points on the blue

   graph are opposite

∴ f(x) is reflected about the x-axis

∴ Its image is - f(x)

∵ The vertex of f(x) is (0, 0)

∵ The vertex of g(x) = (0, -4)

→ That means the function translated 4 units down

∴ - f(x) is translated 4 units down

∴ Its image is - f(x) - 4

∴ g(x) = - f(x) - 4

∵ f(x) = x²

∴ g(x) = - x² - 4

4 0
4 years ago
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