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Complete the given table for the equation 4x+y=9

Solve for r:
1/(r^3+7)-7 = -r^3/(r^3+7)

Multiply both sides by r^3+7:
1-7 (r^3+7) = -r^3

Expand out terms of the left hand side:
-48-7 r^3 = -r^3

Add r^3+48 to both sides:
-6 r^3 = 48

Divide both sides by -6:
r^3 = -8

Taking cube roots gives 2 (-1)^(1/3) times the third roots of unity:
Answer: |  r = -2   or   r = 2 (-1)^(1/3)   or   r = -2 (-1)^(2/3)

Wrong Answer - It says N > 2. , X, Y and Z have to be different integers

Your teacher is messing with you. This is Fermat's last theorem which states that there is NO answer for 

x^n + y^n = z^n for n > 2. 

It was one of the last unproven great theorems in math, recently proved in the last decade. It lasted almost 400 years.

Good luck

Problem A

1st equation Move the 2x over and divide everything by -3 solving for y

y = (2/3)x -4 , 2nd equation y = -2/3 x +5    Not same slope, not negative reciprocal so, Neither

Problem B - again move the x over to the other side, divide by what's in from of the y

1st Equation  y = (-3/2) x + 3  2nd Equation y = (+2/3)x - 7/3  Slopes are negative reciprocals therefore perpendicular

Problem C - Easiest one of all - Already in slope intercept form

1st equation slope is 4, 2nd equation slope is (1/4).  Tricky, but they're NOT negative reciprocals ( One +, One -) They're only reciprocals so NEITHER

Problem D

1st Equation y = -x +1 Slope is -1  or (-1/1)  2nd Equation y = -1x + 1 Same Slope so should be parallel BUT the y intercept is the same, so its the same line. If your teacher is a *%$% then he could say neither ( a line can't be parallel to itself), or since it is the same slope it is parallel , assuming they are only looking at the slopes. So it has two answers depending on the teachers point of view. 

Good luck

convert the equations to standard form if they are not already in it. (y=mx+b)

then compare the slope(m) of each equation. if the two equations have the same slope, they are parallel. if the second slope is the negative reciprocal of the first slope, then the lines are perpendicular. and neither if neither of these are true

sry wasnt 18 and PLZZZZ

8-x=2x+8

2x + x=8 - 8

3x =0 divide both sides by 3

x=0

What percentage is 950 million of 39.5 billion?

 9.5E8 / 3.95E10 =2.40506%

Solve for x:
(log(3 x-1))/(log(2)) = 4

Multiply both sides by log(2):
log(3 x-1) = 4 log(2)

4 log(2)  =  log(2^4)  =  log(16):
log(3 x-1) = log(16)

Cancel logarithms by taking exp of both sides:
3 x-1 = 16

Add 1 to both sides:
3 x = 17

Divide both sides by 3:
Answer: |  x = 17/3

Is there a way to graph an inequality?

1)     Assume that the inequality is:  y  >  3x - 7

Graph the equality:  y  =  3x - 7  only use a dashed line instead of a solid line and then shade the area above the dashed line.

2)     Assume that the inequality is:  y  <  3x - 7

Graph the equality:  y  =  3x - 7  only use a dashed line instead of a solid line and then shade the area below the dashed line.

3)     Assume that the inequality is:  y  <=  3x - 7     

Graph the equality:  y  =  3x - 7  using a solid line and then shade the area below the solid line.

4)     Assume that the inequality is:  y  >=  3x - 7

Graph the equality:  y  =  3x - 7  using a solid line and then shade the area above the solid line.

This procedure also works if the inequality is a quadratic, cubic, ..., trig, ... 

Find x,y,z, which fills equation x^n + y^n = z^n, where n > 2

One answer:  x = 0,  y = 0,  z = 0.

What is the number of terms in this geometric series? 1 + 2 + 4 + ... + 64?

The quickest way to find the answer is to write out all the terms and count:  1 + 2 + 4 + 8 + 16 + 32 + 64.

There are 7 terms.

If you have adivision expression that has the same base in both the numerator and the denominator, subtract the exponents.

Examples:

1)     x¹³ / x⁵  =  x^{13 - 5} =  x⁸

2)     x⁷ / x⁷  =  x^{7 - 7}  =  x⁰  =  1

3)     x³ / x⁷  =  x^{3 - 7}  =  x^-4  =  1 / x⁴ 

4)     ( 4x³y⁵z ) / ( 8x⁴y³z⁷ )  =  (  4/8 )( x³ / x⁴ )( y⁵ / y³ )( z / z⁷ )  =  ( 1/2 )( x^{3 - 4} )( y^{5 - 3} )( z^{1 - 7} )  =  (1/2)( x^-1 y² z^-6 )

                                            =  (1/2)·y² / ( xz⁶ )  =  y² / ( 2xz⁶ )

5)     (12x²yz⁵ ) / ( 51x³ab )  =   ( 12/51 )( x² / x³ )( yz⁵ ) / ( ab )  =  ( 4yz⁵ ) / ( 17xab )

1)
5*100+75-9*2=557

Yes.

22.8

Make the a, a 3 instead and do 3 + 7

I solved number 5. I just need help with number 3 now..

let x î+y j be a vector. the magnitude is : sqrt((x)^2 +(y)^2 )

Just visualise this vector on a graph. You get the expression using Pythagoras theorem.

θ= angle of vector from origin of graph (gives direction) = tan inverse of (y/x)

Hope it helps :)

Depends on the number. If the number is, say, 0.555555555... then you can simply input 5/9 and it will display your number. However, if there are more then one digit repeating, I don't know how to help.

sqrt(25)=5

-7+5 all over 4=-2/4=-1/2

similarly, the other root : -7-5 all over 4=-12/4=-3

hope it helps :)

sqrt(25)=5

-7+5 all over 4=-2/4=-1/2

similarly, the other root : -7-5 all over 4=-12/4=-3

hope it helps :)

if sin + cos = tan then what are the inverses for both after squaring on both sides?

Who says: sin+cos=tan? But, sin^2+cos^2=1. Also, sin(x) / cos(x)=tan(x).........etc.

log is the logarithm.

if log x = y then 10^y=x