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2 years ago

Find the solution set of the inequality 12 - 6x > 24.

Mathematics

2 answers:

earnstyle [38]2 years ago

5 0

Answer:

x<-2

Step-by-step explanation:

Hoochie [10]2 years ago

3 0

Answer:

x < -2

Step-by-step explanation:

12 - 6x > 24 Equation

-6x > 12 Subtract 12 from both sides

x < -2 Divide both sides from -2, if you divide by any negative number in an inequality you have to switch the sign

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Write the equation of the line in fully simplified slope-intercept form.

PtichkaEL [24]

Answer:

Consider points (0, -5) and (-6, -1)

» General equation of a line:

${ \tt{y = mx + c}}$

m is slope
c is y-intercept

 Slope (m):

${ \tt{m = \frac{ - 1 - ( - 5)}{ - 6 - 0} }} \\ \\ { \tt{m = \frac{4}{ - 6} }} \\ \\ { \tt{m = - \frac{2}{3} }}$

 y-intercept (c):

${ \tt{y = mx + c}}$

consider point (0, -5)

${ \tt{ - 5 = c}} \\ { \tt{c = - 5}}$

Equation:

${ \boxed{ \tt{y = - \frac{2}{3} x - 5}}}$

8 0

1 year ago

Revenue from Monorail Service, Las Vegas In 2005 the Las Vegas monorail charged $3 per ride and had an average ridership of abou

Karolina [17]

Answer:

A)The required linear demand equation ( q ) = -4500p + 41500

B) $4.61

$95680.55

C) No it would not have been possible by charging a suitable price

Step-by-step explanation:

A) find the linear demand equation

given two points ; ( 3, 28000 ) and ( 5, 19000 )

slope ( m ) = ( y2 - y1 ) / ( x2 - x1 )

= ( 19000 - 28000 ) / ( 5 - 3 ) = -4500

slope intercept is represented as ; y = mx + b

where y( 28000) = -4500(3) + b

hence b = 41500

hence ; y = -4500x + 41500

The required linear demand equation ( q ) = -4500p + 41500 ----- ( 1 )

p = price per ride

B ) Determine the price the company should charge to maximize revenue from ridership and corresponding daily revenue

Total revenue ( R ) = qp

= p ( -4500p + 41500 )

hence R = -4500p^2 + 41500p ------ ( 2 )

To determine the price that should maximize revenue from ridership we will equate R = -4500p^2 + 41500p to a quadratic equation R(p) = ap^2 + bp + c

where a = -4500 , b = 41500 , c = 0

hence p = $-\frac{b}{2a}$ = $- \frac{41500}{2(-4500)}$ = 4.61

$4.61 is the price the company should charge to maximize revenue from ridership

corresponding daily revenue = R = -4500p^2 + 41500 p

where p = $4.61

hence R = -4500(4.61 )^2 + 41500(4.61) = $95680.55

C) No it would not have been possible by charging a suitable price

5 0

2 years ago

Write three ways to find different bases for 64

bixtya [17]

8^2, 4^3, and 2^6 are 3 ways

4 0

3 years ago

8(5-32) equal to and explain please help

Gre4nikov [31]

You would use order of operations: PEMDAS
P(parenthesis) E(exponents) MD(multiplication/division) AS(addition/subtraction)
with MD and AS order doesnt matter.
8(5-32) you would start with inside the Parenthesis for "P" so (5-32)=(-27)
next you would go to the E but because you dont have an exponent you go to the next step with is the "MD" you have multiplication so next would be 8(-27) and 8 multiplied by -27 is: 8(-27)= -216
ANSWER: -216

4 0

2 years ago

Read 2 more answers

Please help will mark brainliest

Ivenika [448]

Answer:

It should be -64

Step-by-step explanation:

6 0

2 years ago