geno3141

(-6/2) - (7/5)

Write both fractions with the common denominator of 10:

(-30/10) - (14/10)  

=  -44/10  = -22/5

if you can make 2 2/6 pencils in 1/2 a minute, you can make twice that many in 1 minute:

2 x (2 2/6)  =  4 4/6  =  4 2/3 pencils every minute.  

(-1/3)(4)  =  (-1/3)(4/1)  =  -4/3

-4/3 - 6                         Need to get a common denominator =  6.      6 = 18/3

=  -4/3 - 18/3

=  -22/3

"linear" means "in a straight line".

A linear equation is one, which when graphed, results in a picture of a straight line.

Find the invSin of both sides:

invSin( sin ( cos (x) ) ) = invSin( 0 )

cos(x)  =  0

Find the invCos of both sides:

invCos( cos(x) )  =  invCos( 0 )

x  =  90° or 270°  (and suitable multiples)

f(x)  =  2x² - x + 5                 g(x)  =  x + 1

(f + g)(x)  =  f(x) + g(x)  =   (2x² - x + 5) + (x + 1)  =  2x² + 6

(f + g)(6)  = 2(6²) + 6  =  78

Remove the negative exponent:  x^(-2/3)  =  1 / x^(2/3)

1 /  x^(2/3)  =  -1/9

Cross multiply:  9  =  -x^(2/3)

-9  =  x^(2/3)          This means the cube root of x squared, so

cube both sides:

(-9) ^3  =  x^2

-729  =  x^2

If you are restricted to real numbers, this is impossible. However, if you can use complex numbers:

Find the square root of both sides:

x  =  ±√(-729)  =  ±27i

Can you correct the "$n.16"?

P = (1.2w) / h²                 (Cross-multiply:)

Ph²  =  1.2w                     (Divide by P:)

h²  =  1.2w/ P                   (Find the square root:)

h  =  ±√(1.2w/P)

(9/10)g =  7 + (2/3)k                   (Subtract 7:)

(9/10)g - 7  =  (2/3)k                   (Multiply by 3/2:)

(3/2)[( 9/10)g - 7 ]  =  k               (Distribute:)

(27/20)g - 21/2  =  k

2 - (3/4)p  =  (5/6)r + 5        (Subtract 5:)

-3 - (3/4)p  =  (5/6)r            (Multiply by 6/5:)

(6/5)[ -3 - (3/4)p ]  =  r        (Distribute:)

-18/5 - (9/10)p  =  r