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agasfer [191]
3 years ago
9

Rewrite x - 2y = 8 using function notation.

Mathematics
2 answers:
Vadim26 [7]3 years ago
7 0
Isolate for y.
x - 2y =8
x-8 = 2y
(x-8)/(2) = y
(x/2) - (8/2) = y
y = (1x/2) - (4)

f(x) = (1/2)x - 4
The answer is D.
hodyreva [135]3 years ago
4 0

Answer:

D) \displaystyle f(x) = \frac{1}{2}x - 4

Step-by-step explanation:

x - 2y = 8

- x - x

________

\frac{-2y}{-2} = \frac{-x + 8}{-2} \\ \\ y = \frac{1}{2}x - 4 → f(x) = \frac{1}{2}x - 4

I am joyous to assist you anytime.

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43046721 as a single power of 9
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Answer:

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9^8=43046721

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What represents the inverse of the function f(x)=4x
Yuki888 [10]

Answer:

\frac{x}{4}

Step-by-step explanation:

The given function is

f(x) = 4x

As we know

f(x) = y, which implies x= f^{-1} (y)

Therefore,

y = 4x

x = \frac{y}{4}

as x= f^{-1} (y)

So,

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replacing y by x in the above expression

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4 0
3 years ago
Which answer is the approximate standard deviation of the data set?
Anna35 [415]

Answer:

3.4

Step-by-step explanation:

Standard deviation of a population is defined as:

σ² = ∑(xᵢ − μ)² / n

The standard deviation of a sample is defined as:

s² = ∑(xᵢ − x)² / (n - 1)

It's not clear which one we have, so let's calculate both.

First, we must find the mean.

μ = (5+12+15+10+12+6+8+8) / 8

μ = 9.5

Now we find the squares of the differences:

(5-9.5)² + (12-9.5)² + (15-9.5)² + (10-9.5)² + (12-9.5)² + (6-9.5)² + (8-9.5)² + (8-9.5)²

= 80

Divide by n:

σ² = 80 / 8

σ² = 10

And take the square root:

σ = √10

σ ≈ 3.2

That's not one of the answers, so let's try the standard deviation of a sample instead of a population.

Instead of dividing by n, we'll divide by n-1:

s² = 80 / 7

And take the square root:

s = √(80/7)

s ≈ 3.4

So that must be it.

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3 years ago
How do i simplify (3/5 - 1) / 1 2/3?
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