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maxonik [38]
3 years ago
14

Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement bes

t describes the meaning of f(275)
Mathematics
1 answer:
ivolga24 [154]3 years ago
6 0

Answer:

The correct option is (4).

Step-by-step explanation:

The complete question is:

Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(275)?

  1. Houses sell on the market for an average of $275,000 and stay on the market an average of 275 days before being sold.
  2. Houses sell for an average of $275,000.
  3. f(275) indicates houses stay on the market an average of 275 days before being sold.
  4. f(275) represents the average number of days houses stay on the market before being sold for $275,000.

Solution:

The function f (p) is defined as the average number of days a house stays on the market before being sold for price <em>p</em> in $1,000s.

The function provided is: f (275)

That is, <em>p</em> = $275,000.

So, the function  (275) describes the average number of days a house stays on the market before being sold for price $275,000.

Thus, the correct option is (4).

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PLZ I NEED THIS FAST
neonofarm [45]

Answer:

I believe the correct answer is A

Step-by-step explanation:

7 0
3 years ago
Karl has stamps in his desk drawer. The possible combinations of stamps are shown below in the attachment.
ArbitrLikvidat [17]

The table gives the different combinations of stamps Karl has

the first option says that


a. The total number of stamps is 25.

according to this the addition of stamps for each combination should be 25

1st combination is 18 + 17 = 35

therefore this statement is wrong as the addition of stamps is 35 stamps


b. The total value of the stamps is $18.75.

lets check the first combination

18 x $ 0.45 + 17 x $ 0.65 = 8.1 + 11.05 = $19.15

so this statement too is wrong


c. The total number of stamps is 35.

as calculated above we know that the sum of the stamps in the first combination is 35

so lets check for the other combinations

20 + 15 = 35

22 + 13 = 35

25 + 10 = 35

so the answer is 35

this statement is correct


d.The total value of the stamps is $19.15

lets check the value for the third combination

22 x 0.45 + 13 x 0.65 = 9.9 + 8.45 = $18.35

this value isnt equal to $ 19.15

therefore this statement too is wrong


correct answer is C

4 0
3 years ago
Read 2 more answers
Write an equation of a parabola that passes through (3,-30) and has x-intercepts of -2 and 18. Then find the average rate of cha
Nookie1986 [14]

Answer:

The equation of the parabola is y = \frac{2}{5}\cdot x^{2}-\frac{32}{5}\cdot x -\frac{72}{5}.  The average rate of change of the parabola is -4.

Step-by-step explanation:

We must remember that a parabola is represented by a quadratic function, which can be formed by knowing three different points. A quadratic function is standard form is represented by:

y = a\cdot x^{2}+b\cdot x + c

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

a, b, c - Coefficients, dimensionless.

If we know that (3, -30), (-2, 0) and (18, 0) are part of the parabola, the following linear system of equations is formed:

9\cdot a +3\cdot b + c = -30

4\cdot a -2\cdot b +c = 0

324\cdot a +18\cdot b + c = 0

This system can be solved both by algebraic means (substitution, elimination, equalization, determinant) and by numerical methods. The solution of the linear system is:

a = \frac{2}{5}, b = -\frac{32}{5}, c = -\frac{72}{5}.

The equation of the parabola is y = \frac{2}{5}\cdot x^{2}-\frac{32}{5}\cdot x -\frac{72}{5}.

Now, we calculate the average rate of change (r), dimensionless, between x = -2 and x = 8 by using the formula of secant line slope:

r = \frac{y(8)-y(-2)}{8-(-2)}

r = \frac{y(8)-y(-2)}{10}

x = -2

y = \frac{2}{5}\cdot (-2)^{2}-\frac{32}{5}\cdot (-2)-\frac{72}{5}

y(-2) = 0

x = 8

y = \frac{2}{5}\cdot (8)^{2}-\frac{32}{5}\cdot (8)-\frac{72}{5}

y(8) = -40

r = \frac{-40-0}{10}

r = -4

The average rate of change of the parabola is -4.

3 0
3 years ago
Write using exponential notation?<br> 5.5.2.2.2.2
inna [77]

Answer:

5 ^{2}  \times 2^{4}

Step-by-step explanation:

Multiplying 5 by itself is the same thing as raising it to the second power:

5 \times 5 = {5}^{2}  = 25

We multiply 2 by itself two seperate times. That's the same thing as raising 2 to the second power to the second power or in simpler terms raising two to the fourth power:

2 \times 2 \times 2 \times 2 = {({2}^{2})}^{2}  =  {2}^{4}  = 16

Since only multiplication is present, we can combine the two terms to get:

5^{2}  \times  {2}^{4}

4 0
1 year ago
From a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. In how many dif
Romashka [77]

Answer:

11,880 different ways.

Step-by-step explanation:

We have been given that from a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. We are asked to find the number of ways in which the offices can be filled.

We will use permutations for solve our given problem.

^nP_r=\frac{n!}{(n-r)!}, where,

n = Number of total items,  

r = Items being chosen at a time.        

For our given scenario n=12 and r=4.

^{12}P_4=\frac{12!}{(12-4)!}

^{12}P_4=\frac{12!}{8!}

^{12}P_4=\frac{12*11*10*9*8!}{8!}

^{12}P_4=12*11*10*9

^{12}P_4=11,880

Therefore, offices can be filled in 11,880 different ways.

     

   

3 0
3 years ago
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