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AleksAgata [21]
3 years ago
10

20 − 2x > −2(x + 2) + 4x

Mathematics
2 answers:
AleksAgata [21]3 years ago
3 0

Answer:

x < 6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

20 - 2x > -2(x + 2) + 4x

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute -2:                     20 - 2x > -2x - 4 + 4x
  2. Combine like terms:         20 - 2x > 2x - 4
  3. Add 2x on both sides:      20 > 4x - 4
  4. Isolate <em>x</em> term:                   24 > 4x
  5. Isolate <em>x</em>:                            6 > x
  6. Rewrite:                             x < 6

Here we see that any value<em> x</em> less than 6 would work as a solution to the inequality.

olasank [31]3 years ago
3 0

Answer:

x<6

Step-by-step explanation:

expand

subtract 20 from both sides

simplify

subtract 2x from both sides

simplify

multiply both sides by -1(reverse the inequality)

simplify

divide both sides by 4

simplify

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What is <br> 8v+w+7−8v+2w
Bingel [31]

Answer:

3w+7

Step-by-step explanation:

Let's simplify step-by-step.

8v+w+7−8v+2w

=8v+w+7+−8v+2w

Combine Like Terms:

=8v+w+7+−8v+2w

=(8v+−8v)+(w+2w)+(7)

=3w+7

3 0
3 years ago
The graph of F(x) can be stretched vertically and flipped over the x axis to produce the graph of G(x) if F(x)=x^2 which of the
ladessa [460]

Answer:

g(x) = -5x²

(option B)

Step-by-step explanation:

we know that our original graph, f(x) = x² is a parabola.

So, we can consider what happens when we adjust the function/equation of a parabola.

when we "vertically stretch" a parabola, we are increasing the value of x.

 think of it this way: the steepness of a slope is rise over run. If we rise ten, and run one, that's going be a lot more steep than if we rise 1, run 1.

Let's say our x = 5

if f(x)=x²

f(5) = 25

> y value / steepness is 25

f(x) = 3x²

f(5) = 75

 > y value / steepness is 75

So, we are looking for an equation with an increase in x present.

When a parabola has been flipped over the x-axis, we know that the original equation now includes a negative

suppose that x = 1

if y = x² ; y = 1² = 1

if y = -(x²) ; y = -(1²) ; y = -1

So, when we set x to be negative, we make our y-values end up as negative also (which makes the graph look as if it has been flipped upside-down)

This means that we are looking for a function with a negative x value.

So, we are looking for a negative x-value that is multiplied by a number >1

The graph that fits our requirements is g(x) = -5x²

hope this helps!!

6 0
2 years ago
Tony rounded each of the numbers 1, 143 and 1, 149 to the nearest hundred which word correctly compares the rounding numbers
Montano1993 [528]

Full Question:

<em>Tony rounded each of the numbers 1,143 and 1,149 to the nearest hundred. Which choice correctly compares the rounded numbers? </em>

<em></em>1,000 = 1,000

1,140< 1,150

1,100 = 1.100

1,140>1,150

Answer:

1,100 = 1,100

Step-by-step explanation:

Given

1,143 and 1,149

Required

Which of the option is correct

We start by approximating both numbers to nearest digit

<em>1,143; when approximated to nearest hundred is 1,100</em>

<em>1,149; when approximated to nearest hundred is also 1,100</em>

Hence;

1,143 ≅ 1,100

1,149 ≅ 1,100

Comparing both results, we have that

1,100 = 1,100

From the list of given options, option C is correct;

4 0
4 years ago
on squared paper draw the triangle with vertices at (1,1) , (5,3) , (3,5). find the area of the triangle​
Oxana [17]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
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74% of a university's freshman class are majoring in Economics. If 6290 students in
adoni [48]
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3 years ago
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