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The value of H/G is 8.

The sum of all possible values of a is 13.

-5x^2  * 2

-8x^2 * 1

-7x *  6x

-10 -8 -42 = -60   x^2                 -60

The area of trapezoid PQRS is 104.

a = kb/c

16 = k 5 / 9 

          k = proportionality constant = 144/5

a = (144/5) * b/c

a =   ( 144/5 ) * 3/8

a =  432 /40

a = 54/5  = 10.8

It's correct, thanks!!!

The base b is 16.

The possible values of k and 2 and 3/4.

a + b = -10.

There are 12 students who take both languages.

1. The product is 2x^3 - 3x^2 - 25x + 21.

2. The constant term is 26.

3. The coefficient of z is -42.

The number is 3(1 + sqrt(3)) - (sqrt(2) + sqrt(6)), so the answer is 3 + 3 + 2 + 6 = 14.

$2 *  earbuds  bought  +  $3 * fuzzy socks bought =  100

2x  +  3 ( 35  - x)  =   100

2x  +  105  - 3x   =100

-x  =  100  -  105

-x  = -5

x = 5   =number of earbuds bought

35  -5  =   30   =  fuzzy socks bought

Slope  of S  =  ( 6 - 1)  / ( 2 - -3) =  5 / 5   =1

Equation of S

y = (x - 2) + 6

y = x +  4

Slope  of  T   =  ( 7 - 3)  /( -2 - 0) =   4 / -2  = -2

Equation of  T

y = -2 x +  3

x  intersection of S  and  T

x +  4 =   -2x  + 3

2x + x  =   3  -  4

3x  = -1

x  = -1/3

y intersection of S and T

y = (-1/3) + 4  =   -1/3  + 12/3  =    11/3

Intersection pt   = (-1/3  ,11/3)

We needt to  solve  this

cost of one soda * number sold + cost of one pizza * number sold  =   $250

1x  + 3 (180 - x)   =   250

1x  + 540  - 3x  =  250

-2x  = 250  - 540

-2x   =  -290

x  = -290 /  -2  =   145  = sodas sold

180  = x =  180   - 145 =    35  pizzas sold

Interval notaion is  (0, inf  )

x - y  = 36    →   x  =  36 +  y     (1)

4y  = x + 3      (2)

Sub (1)  into  (2)

4y  =  (36 +  y)  +  3

4y - y   =   39

3y  = 39

y  = 39 /  3   =   13

x = 36 + 13 =   49

Thank you but that is wrong

Missing some info here ......

x  must  be  >  0

So   the domain is

x  >  0

180 m / x m/hr   =   200 / (x+5)

cross multiply

180x + 180(5) = 200x

x = 45 m/hr    for 180 miles

(9 , 2)    [ -4  1                       

               -1   2  ]

9(-4)  + 2(-1)  =  -38

9(1) + 2(2)  = 22

< -38, 22 >

OOPs....just  a small error

Should  be       ∛2 /  3

A + B =   5

Sorry!!!!

the actual question on the sat uses the point (-3,8), so I'll use that instead. So first the problem states that the lines are parallell, which means they have the same slope, but diff y-int. using the equation 4x+7y=14, we solve for the equation in y=mx+b form, because currently it is in standard form. Now, we only need the slope, which is -4/7 after rewriting the equation. since they give us the point (-3,8), we will make an equation in y=mx+b form using the slope we just found, and the points given. Now since we know they are parallel lines, the same slope applies, so we now plug in our values to solve for the y intercept, which will be the answer. 8=-4/7(-3)+b is what we get when we plug all in. now, using basic algebra, we solve for b and get the answer:

44/7 or 6.29