Solve the compound inequality, then correctly fill in the blanks below.
-3 2-5 <2
I

Answer:

1.34%

Step-by-step explanation:

In order to find the percentage increase between these two prices, we must first find the difference in price. We calculate this by subtracting the final price by the initial price like so...

$9.84 - 9.71 = 0.13

Now we divide the difference by the initial price to find what percentage of the initial price this difference is, since this percentage difference was added to the initial price to get the new and final price point.

0.13 / 9.71 = 0.013388 ... multiply by 100 to get percent value

0.013388 * 100 = 1.3388% or 1.34% rounded.

9514 1404 393

Answer:

  4) y = -3(x+2)^2 +4; y = -3x^2-12x-8; ABC=(-3, -12, -8)

  5) y = 0.5(x-1)^2-2; y = 0.5x^2-x-1.5; (h,k) = (1, -2)

  6) y = -0.3(x+2)^2-6; y = -0.3x^2-1.2x-7.2; (h,k) = (-2, -6)

Step-by-step explanation:

Writing a quadratic equation through a set of points is most easily done using the regression function of a graphing calculator or spreadsheet.

4) see the first attachment

  y = -3(x+2)^2 +4 . . . vertex form

  y = -3x^2 -12x -8 . . . standard form (A, B, C) = (-3, -12, -8)

__

5) see the second attachment

  y = 0.5(x -1)^2 -2 . . . vertex form; vertex = (1, -2)

  y = 0.5x^2 -x -1.5 . . . standard form

__

6) see the third attachment

  y = -0.3(x +2)^2 -6 . . . vertex form; vertex = (-2, -6)

  y = -0.3x^2 -1.2x -7.2 . . . standard form

_____

Doing this without machine help requires you pick a form of the equation you want, fill in the x- and y-values for three of the given points, then solve the resulting equations for the unknown parameters. Usually, we use the form ...

  y = ax^2 +bx +c

which will result in three linear equations for a, b, c. Those can be solved by any of the usual methods.

Answer:

y-7/ 12y+3

Step-by-step explanation:

Answer:

-0.25 or 1/4

Step-by-step explanation:

Eh just know

Answer:

61

Step-by-step explanation:

1) The domain is [0,300]. The range is [0,250]

2) The slope for the initial climb is 3.57. The equation of the line is

3) The rate of change of the second hill is -1.4

4) The rate of change of the third hill is -2.1

5) The blue hill is steeper

6) It is not a function

Step-by-step explanation:

1)

The domain of a function is the set of values of x (the input) for which the function itself is defined.

Instead, the range of a function is the set of values of y (the output) that the function can take.

To find the domain, we have to look at the x-axis and see for which values of x the function is defined. By looking at the graph, we see that the function is defined between

x = 0 and x = 300

So, the domain is [0,300].

To find the range, we have to look at the y-axis and see for which values of y the function has an output. By looking at the graph, we see that the function has values of y between

y = 0 and x = 250

So, the range is [0,250].

2)

The slope of a function in a certain range is given by

where

is the change in the y-coordinate

is the change in the x-coordinate

For the initial climb (pink line), we have:

Therefore, the slope in this part is

We can now write the equation of the line in the form

y = mx + b

where b is the y-intercept: since it is zero, the line has simply the form

3)

Again, to calculate the slope of the hill, we use:

where

is the change in the y-coordinate

is the change in the x-coordinate

For the green hill, we have:

So the rate of change is

4)

As before, the rate of change of the hill is

For the blue hill, we have:

So the rate of change is

5)

To know which hill is steeper, we need to compare the magnitude of their rate of change.

In fact, both hills have rate of change negative - because we are going down along the slope. Therefore, we have to consider the magnitude of their slope.

For the green hill:

For the blue hill:

We see that the blue hill has a greater slope (in magnitude): therefore, the blue hill is steeper.

6)

A function is defined as a mapping (operation between two sets of variables) in which to one value of x (the input) corresponds one and only one value of y (the output).

This means that a function cannot have multiple values of y for the same x (the input).

By looking at the graph, we see that this function does not respect this criterium: in fact, we see that certain values of x give multiple values of the output, y (for instance, at x=300 the function has two values). So, this is not a function.

9514 1404 393

Answer:

  -2

Step-by-step explanation:

The average rate of change on the interval [3, 9] is ...

  (f(9) -f(3))/(9 -3) = (41 -53)/(9 -3) = -12/6 = -2

Answer:

sometimes true

Step-by-step explanation:

Answer:

The inequality would be true

Step-by-step explanation:

4(c+2) < 4c + 10

Distribute the 4 on the left

4c + 8 < 4c + 10

Subtract 4c from both sides

8 < 10

8 < 10 is true

Answer:

All real numbers.

Step-by-step explanation:

Answer:

Yes

Yes

No

Step-by-step explanation:

Given value x = -2;

    Problem, is the expression a positive number ?

A. -2(x - 2)

  if x = -2

     -2(-2 - 2)

     = -2 (-4)

     = 8

Yes

B.  -3x(5 - 4x)

   if x = -2

     -3 x -2(5  - 4(-2))

    = 6 (5 + 8)

     = 6 x 13

     = 78

Yes

C. x + 6x

if x = -2

    -2 + 6(-2)

   = -2 - 12

   = - 14

No

Answer: 29 :)

Step-by-step explanation:

Answer:

Metro Toledo Automobile Dealers Association

a) The mean revenue

= Total Revenue from the dealer service departments/35

b) The sample of five include 27, 23, 32, 11,  and 13

c) Using systematic random sampling, the dealers included in the sample are: 7, 13, 19, 25, and 31.

Step-by-step explanation:

a) The mean value is the total value divided by the number of elements. The mean revenue is, therefore, the total revenue from the dealer service departments divided by the number of dealers.  This gives an average revenue from each dealer, which is a statistic to describe the population.

b) The sample of five cannot include any number that is outside the population.  For example, 85 is not a number allocated to any dealer in the indicated population, therefore, it cannot form part of the population sample.

c) The systematic random sampling starts from 7 and chooses the sixth number after 7.  Therefore, the next four numbers are multiples of 6.  This is why we choose 13, 19, 25, and 31.

Answer:

12

Step-by-step explanation:

1. the rule: 3:6=6:x;

2. if 3/6=6/x, then x=12.

Answer:

-44ax^2-198x^2+66a+297

Step-by-step explanation:

there

Answer:

15 if b is supposed to the side length, √15 if b is the base which is a square.

Step-by-step explanation:

Answer:

answer is 9 in th by form of the good answer is the to k=9.0 10á gd gd

Answer:

The value is  [tex]P(| \^ p -  p| < 0.05 ) = 0.9822 [/tex]

Step-by-step explanation:

From the question we are told that

    The population proportion is  [tex]p =  0.52[/tex]

     The sample size is  n  =  563      

Generally the population mean of the sampling distribution is mathematically  represented as

           [tex]\mu_{x} =  p =  0.52[/tex]

Generally the standard deviation of the sampling distribution is mathematically  evaluated as

       [tex]\sigma  =  \sqrt{\frac{ p(1- p)}{n} }[/tex]

=>      [tex]\sigma  =  \sqrt{\frac{ 0.52 (1- 0.52 )}{563} }[/tex]

=>      [tex]\sigma  =   0.02106 [/tex]

Generally the  probability that the proportion of persons with a college degree will differ from the population proportion by less than 5% is mathematically represented as

            [tex]P(| \^ p -  p| < 0.05 ) =  P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 ))[/tex]

  Here  [tex]\^ p[/tex] is the sample proportion  of persons with a college degree.

So

 [tex]P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P(\frac{[[0.05 -0.52]]- 0.52}{0.02106} < \frac{[\^p - p] - p}{\sigma }  < \frac{[[0.05 -0.52]] + 0.52}{0.02106} )[/tex]

Here  

    [tex]\frac{[\^p - p] - p}{\sigma }  = Z (The\ standardized \  value \  of\  (\^ p - p))[/tex]

=> [tex]P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P[\frac{-0.47 - 0.52}{0.02106 }  <  Z  < \frac{-0.47 + 0.52}{0.02106 }][/tex]

=> [tex]P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P[ -2.37 <  Z  < 2.37 ][/tex]

=>  [tex]P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P(Z <  2.37 ) - P(Z < -2.37 )[/tex]

From the z-table  the probability of  (Z <  2.37 ) and  (Z < -2.37 ) is

  [tex]P(Z <  2.37 ) = 0.9911[/tex]

and

  [tex]P(Z <  - 2.37 ) = 0.0089[/tex]

So

=>[tex]P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) =0.9911-0.0089[/tex]

=>[tex]P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = 0.9822 [/tex]

=> [tex]P(| \^ p -  p| < 0.05 ) = 0.9822 [/tex]

Answer:

x > 2

Step-by-step explanation:

Answer:

14 dollars

Step-by-step explanation:

If he sells 10 packs, then it will be 4 times less than 40, which means that the pricwe will be 4 times less, or 64 dollars divided by 4 = 14 dollars

Answer:

VW = 36

Step-by-step explanation:

From the question, we are given:

VW = 5x - 4, UV = 2x,

UW = 52

Hence,

UV + VW= UW

2x + 5x - 4 = 52

7x = 52 + 4

7x = 56

x = 56/7

x = 8

VW = 5x - 4,

VW = 5(8) - 4

VW = 40 - 4

VW = 36

Answer:

36 cookies left

Step-by-step explanation:

48×.25=12

48-12=36 cookies

Answer:

18,36,54,72,90 are first five multiples of 18

Step-by-step explanation:

Answer:

18,36,54,72,90

Step-by-step explanation:

Answer:

i got 1/2000

Step-by-step explanation:

Answer:

0w0

Step-by-step explanation:

A postulate is something that is assumed to be true and there isn't a proof for it as its something foundational to help set up further proofs later down the road. Another example of a postulate is that a line is defined by two distinct points.

Answer:

Yes it is the same. Since the total distance left behind per time unit would be the same. Just that He would Do that by himself.

Answer:

yes

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

1/2 would be the best fraction to represent how much he saves.