<span>17<=3-2x<=21
subtract 3
14<=-2x<=18
divide by 2
7<=-x<=9
now mutiply whole inequality by -1, this will reveres the inequality
-7>=x>=-9
or -9<=x<=-7
so there are mistakes in the line
the corrected lines are
17 less than or equal to 3 - 2x and 3 - 2x less than or equal to 21 (line one)
14 less than or equal to -2x and -2x less than or equal to 18 (line two)
-7 greater than or equal to x and x greater than or equal to -9 (line three)</span>
For a given function, slope is defined as the change in outputs, or y-values divided by the change in inputs, or x-values. In essence the slope asks "For a given change in x, how much does y change?" or even more simply: "How steep is the graph of this function?". This can be represented mathematically by the formula:
Since we have a table of x,y pairs it's the last form of that equation that will be the most useful to us. To compute the slope we can use any two pairs, say the first two, and plug them into our formula:
We can check this answer by using a different pair, say the last two:
.
As a common sense check: Our y-values get smaller as our x-values get bigger so a negative slope makes sense.
m=-3
One revolution also corresponds to an angular displacement of 2π rad.
So, the angular velocity is
120 rev/min = (120 rev/min) * (2π rad/rev) = 240π rad/min
Answer:
Answers are: (x+3)(x+5) = 0
So first zero: x+3 = 0 so x = -3
Second zero: x+5 = 0 so x = -5
so zeros are: x = -5 and -3
Step-by-step explanation:
Answer:
About 13.32 Pounds
Step-by-step explanation:
First. take the total weight of the three boxes and divide it by the number of boxes.
10/3 = 3.33 and so on
Now we know each box ways 3.33 pounds.
Now multiply 4 boxes by 3.33 pounds.
4 x 3.33 = 13.32
So the answer should be about 13.32 pounds.