(8)(-4.5) is not equivalent because 8 times -4.5 results in negative value
How about "miles per hour?" I drive "45 miles per hour" on my way into town.
That's a unit rate.
Did you know that 2 pints = 1 quart? You could write this rate / ratio as
2 pints
---------
1 qt
or as
(1/2 qt)
----------- this is a measure of one quantity per unit of another quantity.
1 pint
Answer:
xy = 1
k = 79
Step-by-step explanation:
Question One
The first and third frames look to me to be the same. I'll treat them that way.
y = x^2 Equate y = x^2 to the result of 2y + 6 = 2x + 6
2y + 6 = 2(x + 3) Remove the brackets
2y + 6 = 2x + 6 Subtract 6 from both sides
2y = 2x Divide by 2
y = x
Now solve these two equations.
so x^2 = x
x > 0
1 solution is x = 0 from which y = 0. This won't work. x must be greater than 0. So the other is
x(x) = x Divide both sides by x
x = 1
y = x^2 Put x = 1 into x^2
y = 1^2 Solve
y = 1
The second solution is
(1,1)
xy = 1*1
xy = 1
Answer: A
Question Two
square root(k + 2) - x = 0
Subtract x from both sides
sqrt(k + 2) = x Square both sides
k + 2 = x^2 Let x = 9
k + 2 = 9^2 Square 9
k + 2 = 81
k = 81 - 2
k = 79
So, to find the answer you'd first add up how many patients you have:
20+50+100 = 170.
In a fraction your total would go on the bottom. Then you'd take how many patients are taking a real drug, which is represented by 20+50 = 70. This number would go on top.
So, the probability of a patient NOT getting a placebo is 70/170. Simplified would be 7/17.
The answer is D. 7/17.
