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Over [174]
3 years ago
13

If f(x) and r1(x) are inverse functions of each other and f(x)=2x+5 , what is f^-1(8) ?

Mathematics
1 answer:
GenaCL600 [577]3 years ago
5 0

Answer:

3/2

Step-by-step explanation:

Given y = 2x + 5, let's rewrite the equation in terms of x;

y = 2x + 5 => Bring 5 to the other side

2x = y - 5 => Divide either side by 2

x = (y - 5)/2

If we want to take the inverse, simply swap the variable's positions...

We have y = (x - 5)/2

Now let's determine f^-1(8), substituting for "y" provided y is our inverse, f^-1

f^-1(8) = (8 - 5)/2 = 3/2

Solution: 3/2

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Rob and Mike are selling cookie dough
SpyIntel [72]

The cost of one package of white chocolate chip cookie is $9 while the cost of one package of oatmeal cookie dough is $14.

<h3>What is an equation?</h3>

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the cost of white chocolate chip and y represent the cost of oatmeal dough, hence:

12x + 6y = 192   (1)

Also:

6x + 12y = 222    (2)

From both equations:

x = 9, y = 14

The cost of one package of white chocolate chip cookie is $9 while the cost of one package of oatmeal cookie dough is $14.

Find out more on equation at: brainly.com/question/2972832

3 0
1 year ago
There are 45 animals at the pet store. 12% are dogs, 24% are cats, 36% are fish, and 28% are other animals. Find the number of a
vivado [14]

Step-by-step explanation:

Dogs: 12% of 45= 5.4

Cats: 24% of 45= 10.8

Fish: 36% of 45= 16.2

Other: 28% of 45= 12.6

8 0
3 years ago
Confused someone help
jekas [21]

Answer:

y = -5x - 21

Step-by-step explanation:

Given in the question,

equation of a parallel line

y = -5x + 6

point through which it passes

(-4,-1)

Step1

Find the gradient of the equation given, as it is parallel so it will have same gradient

equation of straight line

y = mx + c

where m is gradient

            c is y intercept

y = -5x + 6

m =-5

Step2

Find y-intercept

-1 = -5(-4) + c

-1 = 20 + c

c = -20 - 1

c = -21

Step3

form the equation

y = -5x - 21

8 0
3 years ago
Read 2 more answers
A city police officer using radar checked the speed of 26 cars as they were travelling down a city street and the data is given
pychu [463]

Answer: The distribution of the data set is positively skewed.

<u>Explanation: </u>

In order to see whether the given data set is symmetric, positively skewed or negatively skewed, we will find the mean, median and mode of the given data set.

For symmetric distribution, Mean = Median=Mode

For positively skewed distribution, Mean > Median>Mode

For negatively skewed distribution, Mean < Median

The mean of the given data set is given below:

Mean = \frac{27+23+22+38+43+24+25+23+22+54+31+30+29+48+27+25+29+28+26+33+25+21+23+34+20+23}{26}

                =\frac{753}{26}

                =28.96

Now, the Median is:

To find the median we need to sort the data in ascending order as:

20,21,22,22,23,23,23,23,24,25,25,25,26,27,27,28,29,29,30,31,33,34,38,43,48,54

Median=\left(\frac{N+1}{2} \right)^{th} item

                   =\left(\frac{26+1}{2}\right)^{th} item

                   =13.5^{th} item

                   =26+0.5 \times (27-26)

                   =26.5

\therefore Median = 26.5

The mode is the most frequently occurring observation. Therefore the mode is:

Mode=23

Since the Mean >Median>Mode, therefore the distribution of the given data set is positively skewed.


5 0
3 years ago
The reduce feature on a copy machine is set at 84%. The picture being copied is 4.5 inches wide. What will be the width of yhe r
snow_tiger [21]

Answer:

The answer is 3.825 inches, the reduced picture will be 84% of the size of the original

8 0
2 years ago
Read 2 more answers
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