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3 years ago

If the graph of f(x) = 5x is shifted 8 units to the left, then what would be the equation of the new graph?

Mathematics

1 answer:

Vika [28.1K]3 years ago

4 0

The equation of the new graph would be f(x+8) = 5x + 8

<u>Explanation:</u>

Given:

f(x) = 5x

Graph is shifted 8 units to the left

Points on the graph of y = f ( x ) are of the form ( x , f ( x ) )

To shift a function left, add inside the function's argument: f (x + b) gives f (x)shifted b units to the left.

Thus,

f(x+8) = 5x + 8

The equation of the new graph would be f(x+8) = 5x + 8

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Q(a+1) - 2q(a) if q(x) = x²+3x+4

siniylev [52]

$q(x) = {x}^{2} + 3x + 4$

_________________________________

Step(1)

To find q(a) we just need to put a instead of x in q(x) function.

Let's do it...

$q(a) = {a}^{2} + 3a + 4$

Multiply sides by -2 :

$- 2q(a) = - 2( {a}^{2} + 3a + 4)$

$- 2q(a) = - 2 {a}^{2} - 6a - 8$

_________________________________

Step (2)

To find q(a+1) we just need to put a+1 instead of x in q(x) function.

Let's do it...

$q(a + 1) = ({a + 1})^{2} + 3(a + 1) + 4 \\$

$q(a + 1) = {a}^{2} + 2a + 1 + 3a + 3 + 4 \\$

$q(a + 1) = {a}^{2} + 5a + 8$

_________________________________

Step (3)

$q(a + 1) - 2q(a) =$

${a}^{2} + 5a + 8 - 2 {a}^{2} - 6a - 8 = \\$

$- {a}^{2} - a = - a(a + 1)$

And we're done.

Thanks for watching buddy good luck.

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4 years ago

24 students in a class took an alegebra test. If 18 passed, what precentage passed.

Sever21 [200]

Answer:

75%

Step-by-step explanation:

What percent of 24 is 18?

24x = 18

x = 18/24 = 3/4 = 0.75 = 75% passed

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4 years ago

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krok68 [10]

Answer:

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Step-by-step explanation:

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3 years ago

True or False: A decimeter, a centimeter and a millimeter are all smaller than a meter.

aev [14]

<h2>Answer:</h2><h2>True. A decimeter, a centimeter and a millimeter are all smaller than a meter.</h2>

Step-by-step explanation:

Convert all the units to metres for compariosn.

By metric conversion,

1 decimetre = 0.1 metre

1 centimetre = 0.01 metre

1 millimetre = 0.001 metre

Based on the above conversions, a decimeter, a centimeter and a millimeter are all smaller than a meter. Therefore the given statement is true.

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3 years ago

5k - 4p + 3k +2p<br>Please show working

xeze [42]

Answer:

here

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=5k + 3k - 4p + 2p

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3 years ago

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