MATHEMATICS HIGH SCHOOL

A ski club charges nonmembers $48 per session plus ski rental fee of $24 per session. A memeber pays a monthley fee of $384 plus a ski rental fee of $8 per session. how many sessions would both a memeber and nonmember have to ski in order to pay the same amount?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Let x be the number of sessions required.

We have (48 + 24)x = 384 + 8x.

=> 72x = 384 + 8x

=> 64x = 384

=> x = 6.

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Help pls. it’s from khan academy

Answers

ANSWER: 7/6

step 1: Simplify both sides of the equation.
step 2:Subtract 2/3 from both sides.
step 3: Multiply both sides by 7/(-1).

For all real numbers x and y, if x # y = x(x-y), then x # (x # y) =My question is, how does x # (x # y) = 8 and how does it also equal to x(squared) - x(cubed) + x(squared) y?

Is there a rule of the function that I have forgotten?

Thanks

Answers

$x\#y=x(x-y)\n\nx\#(x\#y)\n\nx\#y=x(x-y)=x^2-xy\n\nx\#(x\#y)=x\#(x^2-xy)=x[x-(x^2-xy)]=x(x-x^2+xy)\n\n=x^2-x^3+x^2y$

$x^2-x^3+x^2y=8\n\nx^2(1-x+y)=8\n\nx^2(1-x+y)=2^2\cdot4\iff x^2=2^2\ and\ 1-x+y=4\n\nx=2\ and\ y=4-1+x\n\nx=2\ and\ y=3+2\n\nx=2\ and\ y=5$

if x # y = x(x-y) => x # (x # y) = x # [x(x-y)] =x[ x - x(x-y)] = x( x - x^2 +x*y ) = x^2 - x^3 + ( x^2 ) * y;

Weather balloons are filled with hydrogen and released at various sites to measure and transmit data such as air pressure and temperature. A weather balloon is filled with hydrogen at the rate of 0.1 ft3/s. Initially, the balloon has 5 ft3 of hydrogen. Find a linear function that models the volume of hydrogen in the balloon after t seconds.

Answers

Answer:

Linear function that models the volume of hydrogen in the balloon after t seconds is V(t) = 5 + 0.1t

Step-by-step explanation:

Initial volume of hydrogen in the balloon = 5 ft³

Rate at which hydrogen is filling in the balloon = 0.1 ft³/s

Volume after 1 second = 5 + 0.1 x 1

Volume after 2 seconds = 5 + 0.1 x 2

Volume after 3 seconds = 5 + 0.1 x 3

Volume after 4 seconds = 5 + 0.1 x 4

Volume after 5 seconds = 5 + 0.1 x 5

Similarly

Volume after t seconds, V(t) = 5 + 0.1 x t = 5 + 0.1t

Linear function that models the volume of hydrogen in the balloon after t seconds is V(t)=5 + 0.1t

A=2x+6xz solve for x

Answers

x=a6z+2 !!!!!!!!!!!!

What is the domain of g?

Answers

Answer:

x≥ -3

Step-by-step explanation:

The domain is the values that x can take

g(x) = sqrt( x+3)

This must be greater than or equal to zero

x+3 must be greater than or equal to zero

x must be greater than or equal to -3

x≥ -3

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