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What is the inverse of the function f(x)=2x+1

riadik2000 [5.3K]

Answer:

Step-by-step explanation:

To find the inverse function, the first step we do is change f(x) to Y. So now, we have

y=2x+1

Now that we have this function, we simply flip x and y. When we do that, we get

x=2y+1

Now that we have this function, we just solve for Y. We do that by bring 1 to the other side by subtracting it from both sides, then dividing both sides by 2.

x-1=2y+1-1

x-1=2y

(x-1)/2=2y/2

(x-1)/2=y

So, our inverse function is:

y=(x-1)/2, or y=x/2 - 1/2

Hope I helped!

7 0

4 years ago

For the following pairs of assertions, indicate which do not comply with our rules for setting up hypotheses and why (the subscr

torisob [31]

Answer:

Options B, C, D & E do not comply with the rules for setting up hypotheses

Step-by-step explanation:

(A). H0: m = 100, Ha: m > 100.

These hypotheses fully complies with our rules.

B). H0: s = 20, Ha: s 20.

H0 is not an equality claim such as σ = 20. Hence, these hypotheses are not in compliance with our rules.

(C). H0: p -:: .25, Ha: p = .25

H0 should definitely contain the equality claim, although Ha contains it here. Thus, these are not legitimate and don't comply with our rules

(D)H0: m1 - m2 = 25, Ha: m1 - m2 > 100

The given value of 25 for m1 - m2 in H0 should also appear in Ha,but it does not do so here, so it doesn't comply with our rules.

E)H0: S2 = S2, H : S2 -:: S2

Each S2 is a statistic and so it does not belong in a hypothesis.

8 0

4 years ago

Kim has 6 black socks and 4 tan socks in her drawer. What is the ratio of black socks to the total number of socks in Kim’s draw

nadezda [96]

Answer:

2/3

Step-by-step explanation:

divied by 2 on each

3 0

3 years ago

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Solve each quadratic equation by completing the square. Give exact answers--no decimals.

Sholpan [36]

Answer:

$x_1 = -2 + 2i\\\\x_2 = -2 -2i$

Step-by-step explanation:

In this problem we have the equation of the following quadratic equation and we want to solve it using the method of square completion:

$7x ^ 2 + 28x +56 = 0$

The steps are shown below:

For any equation of the form: $ax ^ 2 + bx + c = 0$

1. If the coefficient a is different from 1, then take a as a common factor.

In this case $a = 7$ . Then:

$7(x ^ 2 + 4x) = -56$

2. Take the coefficient b that accompanies the variable x. In this case the coefficient is 4. Then, divide by 2 and the result squared it.

We have:

$\frac{4}{2} = 2\\\\(\frac{4}{2})^2 = 4$

3. Add the term obtained in the previous step on both sides of equality, remember to multiply by the common factor $a = 7$ :

$7(x ^ 2 + 4x + 4) = -56 + 7(4)$

4. Factor the resulting expression, and you will get:

$7(x + 2) ^ 2 = -28$

Now solve the equation:

Note that the term $7(x + 2) ^ 2$ is always $> 0$ therefore it can not be equal to -28.

The equation has no solution in real numbers.

In the same way we can find the complex roots:

$7(x+2)^2 = -28\\\\(x+2)^2 = -\frac{28}{7}\\\\x+2 = \sqrt{-\frac{28}{7}}\\\\x = -2 + \sqrt{-4}\\\\x = -2 + 2\sqrt{-1}\\\\x_1 = -2 + 2i\\\\x_2 = -2 -2i$

4 0

4 years ago

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Phil has 5 times as many toy race cars as Richard has. Phil has 425 toy race cars. How many race cars does Richard have? *

Wewaii [24]

Answer:

85

Step-by-step explanation:

425 divided by 8= 85

4 0

3 years ago

Read 2 more answers