All categories

3 years ago

-6(x + 7) = -4x - 2

Mathematics

2 answers:

almond37 [142]3 years ago

5 0

Answer:

one

Step-by-step explanation:

-6x -6×7 = -4x-2 :

-6x -42 = -4x -2 : (+4x)

-2x -42 = -2 : (+42)

-2x = 40 (/-2)

x = -20

Wittaler [7]3 years ago

4 0

Answer:

-2x-44

Step-by-step explanation:

-6x-42=-4x-2

You might be interested in

Given angle D= 60 degrees, determine the PERIMETER of triangle ABC.

vaieri [72.5K]

Answer:

15*(1+root(3))

Step-by-step explanation:

BD=5, BC=5*root(3), you can find it by using trigonometry.

AC^2+DC^2=AD^2

AC^2=300, AC=10*root(3)

AB^2+BC^2=AC^2

AB^2=225, AB=15.

Perimeter of ABC is AB+BC+CA=15+5*root(3)+10*root(3).

15(1+root(3))

5 0

3 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

How to find the volume of a triangle pyramid

steposvetlana [31]

Answer:

To find the volume of a triangle pyramid, you would use the formula V = 1/3AH, where A = area of the triangle base, and H = height of the pyramid or the distance from the pyramid's base to the apex.

Hope this helps!!

8 0

3 years ago

(7/4x-5)+(2y-3.5)+(-1/4x+5)

Mazyrski [523]

Hope this helps you !

6 0

3 years ago

A farm has chickens and cows. All the cows have 4 legs and all the chickens have 2 legs.

sineoko [7]

Answer:

their are 17 cows

Step-by-step explanation:

7x2=14

82-14=68

68/4=17

5 0

2 years ago