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SashulF [63]
2 years ago
6

Which is a translation of f(x)=|x|. Write the function rule for g(x)

Mathematics
1 answer:
eduard2 years ago
6 0

Answer:

g(x) = | x + 7 |

Step-by-step explanation:

The absolute value graph f(x)=|x| is a V-shaped graph with the vertex (tip, point) at (0,0). The graph shown has been translated (slid, shifted) 7 units to the left. Left or right shifts, horizontal shifts, are caused by an adjustment to the x. Horizontal shifts are also maybe the opposite of your intuition. Left shifts, you ADD to x. Right shifts, you subtract from x.

This is a left shift, so adjust the x by inserting a +7

f(x) = |x|

g(x) = | x + 7 |

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The equation of three lines are given below
kotykmax [81]

Answer:

The line 2 and Line 3 are perpendicular to each others

But There is no relation between Line 1 and Line 2  , Line 1 and Line 3

Step-by-step explanation:

Given as :

The three line equation is

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So, From Line 1

2 y = 5 x + 6

or , y =  \frac{5}{2} x + \frac{6}{2}

I.e y =  \frac{5}{2} x + 3

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y = \frac{2}{5} x - 1

So, slope of this line =  m_2 =  \frac{2}{5}

Similarly , From Line 3

10 x + 4 y = - 6

I.e 4 y = - 6 - 10 x

or, y = - \frac{6}{4} -  \frac{10}{4} x

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<u>Now, If the lines are parallel , then the slope of the lines are equal</u>

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Now, From given lines

m_2 × m_3 = \frac{2}{5} × ( - \frac{5}{2} )

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Hence The line 2 and Line 3 are perpendicular to each others

But There is no relation between Line 1 and Line 2  , Line 1 and Line 3 Answer

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3 years ago
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Vaselesa [24]

Answer:

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4 0
2 years ago
Jake has decided to invest in three business ventures. The total cost of investing in all three ventures is $15,000. The combine
Arte-miy333 [17]
X = first venture, y = second venture, z = third venture

x + y + z = 15,000
x + z = y + 7000
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these are ur equations.....

x + y + z = 15,000
x - y + z = 7000
--------------------add
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x + y + z = 15,000....multiply by -2
3x + 2y + 2z = 39,000
-------------------
-2x - 2y - 2z = - 30,000 (result of multiplying by -2)
3x + 2y + 2z = 39,000
------------------add
x = 9,000

2x + 2z = 22,000
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2z = 22000 - 18000
2z = 4000
z = 4000/2
z = 2,000

x + y + z = 15,000
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