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xenn [34]
3 years ago
14

Which is a correct first step in solving the inequality-4(2x - 1) > 5 - 3x?

Mathematics
2 answers:
prisoha [69]3 years ago
3 0
The answer is distribute -4 to get -8x+4>5-3x
Yuliya22 [10]3 years ago
3 0

Answer:

Distributing -4 inside the parenthesis is the first step

Step-by-step explanation:

find a correct first step in solving the inequality

-4(2x - 1) > 5 - 3x

To solve the given inequality we need to isolate x

To isolate x we start with removing the parenthesis

we distribute -4 inside the parenthesis

-4*2x +(-4)(- 1) > 5 - 3x

-8x +4 > 5 - 3x

Distributing -4 inside the parenthesis is the first step

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Answer:

4x-2x-6=8

2x-6=8

2x=8+6

2x=14

x= 14/2

x= 7

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8 friends have 2 pizzas how many pieces do each friend get
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Step-by-step explanation:

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Determine whether the statement is true or false. Justify your answers.
marusya05 [52]

Answer:

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis. ⇒ False

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis. ⇒ False

Step-by-step explanation:

<em>Let us explain the reflection about the axes</em>

  • If a graph is reflected about the x-axis, then the y-coordinates of all points on it will opposite in sign

Ex: if a point (2, -3) is on the graph of f(x), and f(x) is reflected about the x-axis, then the point will change to (2, 3)

  • That means reflection about the x-axis change the sign of y
  • y = f(x) → reflection about x-axis → y = -f(x)

  • If a graph is reflected about the y-axis, then the x-coordinates of all points on it will opposite in sign

Ex: if a point (-2, -5) is on the graph of f(x), and f(x) is reflected about the y-axis, then the point will change to (2, -5)

  • That means reflection about the y-axis change the sign of x
  • y = f(x) → reflection about y-axis → y = f(-x)

<em>Now let us answer our question</em>

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis.

It is False because reflection about x-axis change sign of y

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the x-axis

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis.

It is False because reflection about y-axis change sign of x

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the y-axis

7 0
3 years ago
X^2+3x-10 will be zero when x equals
Anit [1.1K]

Answer:

Answer: x equals to 2 and -5

Step-by-step explanation:

{ \tt{ {x}^{2} + 3x - 10 = 0 }}

» Factorise the equation quadratically:

{ \tt{(x - 2)(x + 5) = 0}} \\ { \tt{x = 2 \:  \: and \:  \:  - 5}}

3 0
2 years ago
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The sum of three consecutive even integers is 66. Which equation represents the scenario? x = 66
vesna_86 [32]

Answer:

(D)

x + (x + 2) + (x + 4) = 66

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