Answer:
The probability of rolling a 9 or higher is is 10/36. You can simplify this this fraction to 5/18.
Step-by-step explanation:
Answer:
rate of change=slope= y2-y1/x2-x1
Step-by-step explanation:
x: -2|-1|0|1
y : 5|4|3|2
so choose 2 ordered pairs. in this case, we will choose (-2,5) and (-1,4)
now we plug them in: 
4-5=-1
-1-(-2)=1
so -1/1 is equal to -1, meaning it's answer option b.
The correct answer would be B. 2/(x + 8)
When you are completing composite functions, you place the entire second function in for x in the first function. Since the letter f comes first in f o g. then we start with the f(x) equation.
f(x) = 2/x
Now since g comes next, we take the entire equation for g(x) and substitute it in.
f o g = 2/(x + 8)
This is answer B.
Answer:
The area of the rectangle is increasing at a rate of 
.
Step-by-step explanation:
Given : The width of a rectangle is increasing at a rate of 2 cm/ sec. While the length increases at 3 cm/sec.
To find : At what rate is the area increasing when w = 4 cm and I = 5 cm?
Solution :
The area of the rectangle with length 'l' and width 'w' is given by 
Derivative w.r.t 't',
Now, we have given
Substitute all the values,
Therefore, the area of the rectangle is increasing at a rate of .
120 people who all need 1 drink, so if each drink needs .5 cups of concentrate you will do 120d × 0.5 = 60 total cups of concentrate. if you then set up a fraction, you could cross multiply to get the answer, but I cant do fractions here so I'll say this: if every 5 cups of concentrate gives 19 cups of water, then you divide 60 cups by 5 cups to see how many "batches" of this recipie you will need, you get 12 batches, so 12 x 19 (cups of water per batch) to get 218 ( I think, check my math with a calculator
