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rewona [7]
3 years ago
7

What is the inverse of this function? [Will give Brainliest]

Mathematics
2 answers:
sashaice [31]3 years ago
4 0

Answer:

D)   f (-1) (x) = x³-12

Step-by-step explanation:

∛x+12                      

Interchange the variables and solve for y

∛y +12 =x

(∛x+12) ³= x³

y+12 = x³

y= x³-12

f (-1) (x) = x³-12

ira [324]3 years ago
3 0

Answer:

the inverse of a function is the exact opposite

Step-by-step explanation:

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Match the word with its definition
Inessa05 [86]

Answer:

#1- definition #2

#2- definition #1

#3- definition #3

Step-by-step explanation:

4 0
3 years ago
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I need help finding the slope, identifying the initial value and writing An equation for a linear function and finding the X ans
pishuonlain [190]

Answer/Step-by-step explanation:

✔️Slope (m) using the two points (2, 4.58) and (5, 4.28):

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4.28 - 4.58}{5 - 2} = \frac{-0.3}{3} = -0.1

Slope (m) = -0.1

✔️Initial Value = y-intercept = b

To find b, substitute x = 2, y = 4.58, and m = -0.1 into y = mx + b.

(Note: y is P(t) and x is t).

Thus:

4.58 = (-0.1)(2) + b

4.58 = -0.2 + b

Add 0.2 to both sides

4.58 + 0.2 = b

4.78 = b

b = 4.78

Initial value = 4.78

✔️Equation for the linear function:

Substitute b = 4.78, and m = -0.1 into P(t) = mt + b

Thus the equation would be:

P(t) = -0.1t + 4.78

✔️The y-intercept = initial value = 4.78

✔️The x-intercept = the value of t when P(t) = 0.

To get this, substitute P(t) = 0 into P(t) = -0.1t + 4.78.

Thus:

0 = -0.1t + 4.78

Add 0.1t to each side

0.1t = 4.78

Divide both sides by 0.1

t = 47.8

x-intercept = 47.8

8 0
3 years ago
A recent survey reported that small businesses spend 24 hours a week marketing their business. A local chamber of commerce claim
kakasveta [241]

Answer:

Following are the responses to the given choices:

Step-by-step explanation:

In step 1:

State the zero and alternate test hypotheses. Insert underneath.

H_0 : \mu = 24: H_a : \mu < 24

H_0 Smaller companies in their region are and they spend at least 24 hours per week on the marketing of the these companies

H_1 There really is no growth for smaller firms in their area because the companies spend or less 24 hours per week on marketing.

In step 2:

Each test statistics meaning is calculated. Around two decimal places for your reply.

z=\frac{\bar{X}-\mu_{0}}{\frac{\sigma}{\sqrt{n}}}=\frac{23.2-24}{\frac{4.2}{\sqrt{88}}}=-1.787

In step 3:

Draw a start and write the decision.

Since it is observed that z=-1.787 < z_c=-1.64 it is then concluded that the null hypothesis is rejected.

Consequently we consider that small companies in their field may not expand, as they spend or less 24 hours per week on marketing.

5 0
3 years ago
Tina has stacks of 5 cds on each of the 3 shelves. How many cds does she have in all?
ipn [44]
The answer to this is 15 because you would multiply 5*3 to get you answer or you could do 5+5+5 either way it equals 15


3 0
3 years ago
Read 2 more answers
A restaurant manager collected data on the number of customers in a party in the restaurant and the time elapsed until the party
Stella [2.4K]

Answer:

Option C The parties with a larger number of customers are associated with the longer times elapsed until the party left the restaurant.

Step-by-step explanation:

The correlation coefficient 0.78 shows that positive association between two variables number of customers and elapsed time until party left restaurant.

The positive association means that as the number of customers in a party increases the elapsed time also increase. So, we can say that the parties with a larger number of customers are associated with the longer times elapsed until the party left the restaurant.

4 0
3 years ago
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