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julia-pushkina [17]
2 years ago
13

For two functions, m(x) and p(x), a statement is made that m(x) = p(x) at x = 7. What is definitely true about x = 7?

Mathematics
2 answers:
igomit [66]2 years ago
8 0

Answer:

C)Both m(x) and p(x) have the same output value at x = 7.

Step-by-step explanation:

i took the test and got it right

Shkiper50 [21]2 years ago
4 0

For this case we have the following functions:

m (x)

p (x)

Where,

x: independent variable

m, p: dependent variables

For the value of x = 7 we have:

m (7)

p (7)

For this case it is true that:

m (7) = p (7)

Therefore, both functions have the same output argument for the same input value.

Answer:

C) Both m (x) and p (x) have the same output value at x = 7.

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Pat had 9 flowerpots, and she wants to plant a different type of flower in each one. There are 11 types of flowers available at
wariber [46]

<span>In this problem, we will use the combination since the order does not matter but the flower can only be selected once. From the given, we have a total of 11 flower and 9 flowerpots, to get the number of possible combinations, we can write is at 11C9 or 11! / {9! (11-9)!}. The total number of possible combinations is 55</span>

7 0
2 years ago
Read 2 more answers
If Julie invests $9,250 at a rate of 7%, compounded weekly, find the value of the investment after 5 years.
Reil [10]

Answer:

Option D is correct.

Step-by-step explanation

Principal =  $9250

rate of interest = 7%  or 0.07

time = 5 years or 260 weeks

      [ Since there are 52 weeks in a year . for 5 years it will be 5x52=260 weeks]

Applying the formula  

Amount after t years =       P(1+\frac{r}{n} )^{nt}

                                         where P = principal

                                                     r = rate % in decimals

                                                    n= number of times in a year

                                                     t = times ( in years)

                          plugging the values  in the formula

              Amount =  9250(1+\frac{0.07}{52} )^{(52X(5)}

                             =  9250(1+0.001346 )^{(260)}

                              = 9250(1.001346 )^{(260)}

                               = 9250(1.418733588)

                                =$13123.29

5 0
2 years ago
Write the coordinates of the vertices after a rotation of 180 degrees counterclockwise around the origin.
Umnica [9.8K]

90 degrees you are looking to your side

180 degrees you are looking behind you

around origin of 0,0

the image is flipped into the negative world if it is in posiitve or vice versa

8 0
2 years ago
In a standard game of pool, there are 15 balls labeled 1 through 15. a) In how many ways can the 15 balls be ordered? (5 points)
katovenus [111]

Answer:

<h2>a) 1.308*10¹² ways</h2><h2>b) 455 way</h2>

Step-by-step explanation:

If  there are 15 balls labeled 1 through 15 in a standard football game, the order of arrangement of the 15 balls can be done in 15! ways.

15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2

15! = 1.308*10¹² ways

b)  If 3 of the 15 balls are to be chosen if order does not matter, this can be done in 15C3 number of ways. Since we are selecting some balls out of the total number of balls, we will use the concept of combination.

Using the combination formula nCr = n!/(n-r)!r!

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15C3 = 15*14*13/6

15C3 = 455 ways

7 0
2 years ago
Ali surveyed 200 students at a school and recorded the eye color and the gender of each student. of the 80 male students who wer
Aloiza [94]
Total number of students surveyed = 200
Number of male students = 80
Number of female students = 200 - 80 = 120

Number of brown eyed male students = 60
Probability of a brown eyed male student = 60 / 80 = 0.75.

Since, <span>eye color and gender are independent, this means that eye color is not affected by the gender. Thus, we expect a similar probability of brown eye for female as we had for male.

Let the number expected of brown eyed females be x, then x / 120 = 0.75.

Thus, x = 120(0.75) = 90.

Therefore, the number female students surveyed expected to be brown eyed is 90.</span>
7 0
2 years ago
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