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2 years ago

What is the inverse of f(x) = 3? (Hint: Write the function as y = 0x + 3.) Is the inverse a function? Explain.

1 answer:

6 0

y = 0x + 3
switch x and y and solve for y if possible
x = 0y +3
x = 3
Not a function because it doesn't pass the vertical line test .

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In parallelogram ABCD , BE=7x−2 and ED=x2−10 .

Stells [14]

I'm assuming that the diagonals intersect at E. Since diagonals of a parallelogram bisect each other, BE=ED.

7x-2=x²-10
x²-7x-8=0
(x-8)(x+1)=0
x = -1, 8

As distance must be positive, we reject the negative case, so x=8.

Thus, BE=ED=54.

5 0

1 year ago

The graph shows the function f(x)=3^x

tangare [24]

The answer is D.
You have to make the whole numbers equal to then solve for the exponents:
F(x) means y, therefore, y is 9.
9 = 3^x.
3^2 is the same as 9.
Then, 3^2 = 3^x.
Then solve for the exponents,
2 = x
Therefore your answer is 2.

8 0

2 years ago

A random sample of 20 purchases showed the amounts in the table (in $). The mean is $49.57 and the standard deviation is $20.28.

son4ous [18]

Answer:

The 98% confidence interval for the mean purchases of all customers is ($37.40, $61.74).

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.98}{2} = 0.01$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.01 = 0.99$ , so $z = 2.325$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 2.325*\frac{20.28}{\sqrt{20}} = 12.17$

The lower end of the interval is the mean subtracted by M. So it is 49.57 - 12.17 = $37.40.

The upper end of the interval is the mean added to M. So it is 49.57 + 12.17 = $61.74.

The 98% confidence interval for the mean purchases of all customers is ($37.40, $61.74).

3 0

2 years ago

Use the distributive property to simplify 4^x(2^-6)

julsineya [31]

Is it 4 times x or 4 to the power of x, if the first one then, 8x-24x. if the second then 8^-6x

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2 years ago

What is the length of PC?

marshall27 [118]

<span>31 trillion kilometers or 19 trillion miles.</span>

7 0

2 years ago