gwenspooner85

Inversely proportional here means that the value of alpha x beta is -6*12=-72 for any value of alpha and beta. We use this equation and plug in the given value of beta, -2, into the equation.

alpha x beta =-72

alpha x -2 =-72

alpha = 36.

We plug in what is given into the slope formula and solve for y. 

 \(\frac{y-7}{4-(-2)}=-\frac{3}{2}\\ \frac{y-7}{6}=-\frac{3}{2}\\ y-7=-9\\ \boxed{y=-2}.\)

We use the given points to write an equation in slope intercept form. Using the slope formula, the slope is 2. We now have y=2x+b. We can plug in either point into the equation to determine b. We plug in (2, 16).

y=2x+b

16=2(2)+b

16=4+b

b=12

Since b represents the y intercept, then the point intersecting the y axis is (0, 12).

Cool, didn't expect there'd be any on this site xD

Hi fellow ARMY~

1/2 in decimal form is 0.5. We replace 1/2 with its decimal value. So we have 0.75-0.25+0.5=0.5+0.5=1.

You're welcome.

Let x be the original cost of the item and y be the second percent increase of its cost. 

In the first percent increase, the price of the item becomes 1.5x. Then in the second 1.5x * y=6x. y must be equal to 4.5x, which means it is 300%.

A pound is 16 ounces. Juan's cat is 5*16=90 ounces. His neighbor's puppy is 102 ounces. 102>90 so Juan's cat does not weigh more than the puppy.

ah ok, I get it now. Thanks.