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3 years ago

What is the first step in solving 9+7(x-1)=4x+14?

Mathematics

1 answer:

kari74 [83]3 years ago

3 0

Answer:

Use distributive property to get rid of the parentheses.

Step-by-step explanation:

9+7(x-1)=4x+14

Use the order the operations (PEMDAS)

Parentheses

Exponents

Multiply

Divide

Add

Subtract

First you need to get rid of the parentheses by using distributive property.

9+7x-7=4x+14

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Viefleur [7K]

Answer:

1). Increases

2). Slope = 4

3). Slope = -1

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Step-by-step explanation:

1). Initially, as x increases, y also increases. (Linear growth has been shown in the graph initially).

2). Afterward, the slope of the graph of the function is equal to 4 for all x between x = 3 and x = 5.

[Slope of the line passing through two points (3, 0) and (5, 4)

m = \frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}

−x

)

−y

)

= \frac{4-0}{5-3}

5−3

4−0

= \frac{4}{1}

= 4 ]

3). The slope of the graph is equal to -1 for x between x = 5 and x = 9.

[Slope of the line passing through two points (5, 4) and (9, 0),

Slope = \frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}

−x

)

−y

)

= \frac{4-0}{5-9}

5−9

4−0

= -\frac{4}{4}

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3 years ago

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Step-by-step explanation:

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Pie

Answer:

X ∈ { 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174, 180, 186, 192, 198, 204, 210, 216, 222, 228, 234, 240, 246, 252, 258, 264, 270, 276, 282, 288, 294, 300, 206, 312, 318, 324, 330, 336, 342, 348, 354, 360, 366, 372, 378, 384, 390, 396, 402, 408, 414 }

Step-by-step explanation:

See procedure below;

Set X { all multiples of 6 between 15 and 70, provided multiples belong to the set of natural numbers },

Set X { 6n | 15 < n < 70, n ∈ natural numbers },

n ∈ { 16, 17, 18, 19, 20, 21, 22, 23, 24, 25.........69 },

X ∈ { 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156.........414 }

Answer; { 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174, 180, 186, 192, 198, 204, 210, 216, 222, 228, 234, 240, 246, 252, 258, 264, 270, 276, 282, 288, 294, 300, 206, 312, 318, 324, 330, 336, 342, 348, 354, 360, 366, 372, 378, 384, 390, 396, 402, 408, 414 }

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