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2 years ago

25 points If ƒ(x) = 1/x, which equation represents the f transformed as follows: 2ƒ(x + 3) ?

Mathematics

1 answer:

-Dominant- [34]2 years ago

7 0

Answer:

B y = 2/(x+3)

Step-by-step explanation:

f(x) = 1/x

Replace x with x+3

g(x) = 1 /(x+3)

Then multiply it by 2

h(x) = 2 *(1/ (x+3))

h(x) = 2/(x+3)

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7-2=5
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3 years ago

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2 years ago

What integer increased by - 12 is 28?

guajiro [1.7K]

Answer:

Step-by-step explanation:

Let n represent the integer. Then the increase can be written as ...

n + (-12) = 28

We can add 12 to both sides of this equation:

n + (-12) + (+12) = 28 +12

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2 years ago

Alma invests $300 in an account that compounds interest annually. After 2 years, the balance of the account is $329.49. To the n

-Dominant- [34]

Invested amount (P) = $300.

Time in years (t) = 2 years.

Balance after 2 years (A) = $329.49.

Let us assume rate of interest = r % compounds annually.

We know, formula for compound interest

$A=P(1+r)^t$

Plugging values in formula, we get

$329.49=300(1+r)^2$

$\mathrm{Divide\:both\:sides\:by\:}300$

$\frac{300\left(1+r\right)^2}{300}=\frac{329.49}{300}$

$\left(1+r\right)^2=1.0983$

Taking square root on both sides, we get

$1+r=\sqrt{1.0983}$

$\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}$

$1+r-1=\sqrt{1.0983}-1$

$r=\sqrt{1.0983}-1$

$r=1.048-1$

r=0.048.

Converting it into percentage by multiplying by 100.

r=0.048 × 100

r = 4.8 %

Therefore, the rate of interest on the account is 4.8% compounds annually.

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3 years ago

Equivalent ratios for 8:28

Tpy6a [65]

Answer:

8 : 28

x2 x2

16:56

Step-by-step explanation:

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3 years ago