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2 years ago

Consider the functions f(x) = 10^x and g(x)= f(x+4)

Mathematics

1 answer:

Alla [95]2 years ago

8 0

D because u move it 4 to the right then it’s shifts the f

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Simplify the expression 5+6i/4+6i A) 56-6i/-20 B) -16-6i/-20 C)56-6i/52 D) -16-6i/52

IRISSAK [1]

Answer:

$The\ simplified\ form\ of\ the\ \frac{5 + 6i}{4 + 6i}\ is\ \frac{56-6i}{52}.$

Option (C) is correct .

Step-by-step explanation:

As the expression given in the question as follows.

$= \frac{5 + 6i}{4 + 6i}$

Now rationalize the expression.

$= \frac{5 + 6i\times 4 - 6i}{4 + 6i\times 4 - 6i}$

Using the formula

a² - b² = (a - b) (a + b)

Using in the above

$= \frac{5 + 6i\times 4 - 6i}{(4)^{2} - (6i)^{2}}$

$= \frac{5\times 4-5\times 6i+6i\times 4-36\ i^{2}}{16 - 36(i)^{2}}$

As i² = -1

$= \frac{20-30i+24i+36}{16 + 36}$

$= \frac{56-6i}{52}$

$Therefore\ the\ simplified\ form\ of\ the\ \frac{5 + 6i}{4 + 6i}\ is\ \frac{56-6i}{52}.$

Option (C) is correct .

8 0

3 years ago

Read 2 more answers

How many gallons of a 70% antifreeze solution must be mixed with 60 gallons of 20% antifreeze to get a mixture that is 60% a

Flura [38]

We have 60 gallons of 20% antifreeze.

How much 70% antifreeze do we add to get 60% antifreeze?

We'll make "x" the gallons of 70% we must add.

.20 * 60 + .70 x = .60 * (60 + x)

12 + .70x = 36 + .60x

.10x = 24

x = 240 gallons of 70% antifreeze.

Source

1728.com/mixture.htm (see example B)

4 0

3 years ago

The difference of six times a number and four is twenty. Find the number.

lys-0071 [83]

Answer:

8/3 or 2.667

Step-by-step explanation:

6x+4=20

20-4= 16

6x/6=x

16/6=8/3 or 2.667

8 0

3 years ago

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Consider function f. Which graph represents function f?

Ksju [112]

I think it is z I could be wrong

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3 years ago

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What is the inverse (opposite) of addition?

madam [21]

Answer:

Subtraction is the inverse (opposite operation) of addition

Step-by-step explanation:

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3 years ago