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aalyn [17]
3 years ago
11

What is the difference of three and a number divided by two

Mathematics
1 answer:
siniylev [52]3 years ago
6 0

Answer:= -1/2x+3

Step-by-step explanation:

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Which statement about a dilation with a scale factor of 3 is true?
Valentin [98]

Given :   dilation with a scale factor of 3

To find :  Which statement is true

Solution:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size

if Dilation factor  N then image Size is multiplied  by  N

if Scale factor  < 1 then image get reduced

if scale factor > 1  then image get enlarged

scale factor = 1 lead to Same size image

Here is given that Scale factor of 3

=> image will be enlarged to 3 times the original image

Hence correct option is :

C)Each side in the pre-image is multiplied by three to find the corresponding side length in the image

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6 0
2 years ago
You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week
bonufazy [111]

Answer:

a) The demand function is

q(p) = -4 p + 107

b) The nightly revenue is

R(p) = -4 p^2 + 107 p

c) The profit function is

P(p) = -4 p^2 + 133.75 p - 939

d) The entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.

Step-by-step explanation:

a) Lets find the slope s of the demand:

s = \frac{79-43}{7-16} = \frac{36}{-9} = -4

Since the demand takes the value 79 in 7, then

q(p) = -4 (p-7) + 79 = -4 p + 107

b) The nightly revenue can be found by multiplying q by p

R(p) = p*q(p) = p*( -4 p + 107) = -4 p^2 + 107 p

c) The profit function is obtained from substracting the const function C(p) from the revenue function R(p)

P(p) = R(p) - C(p) = p*q(p) = -4 p^2 + 107 p - (-26.75p + 939) = \\\\-4 p^2 + 133.75 p - 939

d) Lets find out the zeros and positive interval of P. Since P is a quadratic function with negative main coefficient, then it should have a maximum at the vertex, and between the roots (if any), the function should be positive. Therefore, we just need to find the zeros of P

r_1, r_2 = \frac{-133.75 \,^+_-\, \sqrt{133.75^2-4*(-4)*(-939)} }{-8} = \frac{-133.75 \,^+_-\, 53.526}{-8} \\r_1 = 10.03\\r_2 = 23.41

Therefore, the entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.

7 0
3 years ago
Find the side lengths the cube X
s344n2d4d5 [400]

Answer:

x = 6

Step-by-step explanation:

The volume (V) of the triangular prism is calculated as

V = Al ( A is the area of the triangular end and l is its length )

A = \frac{1}{2} bh = 0.5 × 9 × 4 = 18 cm² , then

V = 18 × 12 = 216 cm³

The volume of a cube is

V = s³ ( s is the side length ) , so

s³ = x³ = 216 ( take the cube root of both sides )

x = \sqrt[3]{216} = 6

7 0
3 years ago
Jeri's lawn service charges an initial fee of $4.50 plus $3 an hour. If she is asked to
STALIN [3.7K]

Answer:

5 hours 22 minutes

Step-by-step explanation:

Let us represent the number of hours that Jeri worked as: h

Jeri's lawn service charges an initial fee of $4.50 plus $3 an hour

= $4.50 + $3 × h

= $4.50 + 3h

If she is asked to start before 7 a.m. Jeri charges 1.5 times the regular amount.

= 1.5 × ($4.50 + 3h)

If she made $29.25 on a job that began at 5 am, how many hours did Jeri work?

Hence, we have the final equation;

= 1.5 × ($4.50 + 3h) = $29.25

= 6.75 + 4.5h = 29.25

Collect like terms

= 4.5h = 29.25 - 6.75

4.5h = 22.5

h = 22.5/4.5

h = 5.3571428571

Approximately= 5.36 hours

1 hour = 60 minutes

0.36 hour =

60 × 0.36

= 21.6 minutes

Approximately ≈ 22 minutes

Therefore, Jeri worked for 5 hours 22 minutes

7 0
3 years ago
The first person who answers this right gets 40 points
Alekssandra [29.7K]
It will take two years
3 0
3 years ago
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