Answer: -3y^3z^6(5y^4+z^2)
Explanation: The first number in the parenthesis has to be positive, so the GCF in this problem will be negative. The GCF between the coefficients is 3. The GCF between the y variable is y^3. The GCF between the z variable is z^6. We combine all of the GCFs to get an overall GCF: -3y^3z^6. Then we will factor it out of the two terms, giving us: -3y^3z^6(5y^4+z^2). You can check the answer by multiplying them to see if you get the original expression.
Answer:
This a circle centered at the point 
, and of radius "3" as it is shown in the attached image.
Step-by-step explanation:
Recall that the standard formula for a circle of radius "R", and centered at the point 
is given by:
Therefore, in our case, by looking at the standard equation they give us, we extract the following info:
1) 
since the radius must be a positive number and (
) is not a viable answer.
2) 
for ( 
) to equal 
3) 
for ( 
) to equal 
Therefore, we are in the presence of a circle centered at the point , and of radius "3". That is what we draw as seen in the attached image.
Answer:
0.019 or 1.9%
Step-by-step explanation:
The probability that a randomly selected roll used by the manufacturer contains flaws is determined by the probability of a flawed cotton roll occurring (1% x 70%) added to the probability of a flawed nylon roll occurring (4% x 30%) .
The probability that a randomly selected roll contains flaws is 0.019 or 1.9%
Isolate the variable, note the equal sign, what you do to one side, you do to the other.
1) 4k = 24
Isolate the variable, k. Divide 4 from both sides of the equation:
(4k)/4 = (24)/4
k = 24/4
k = 6
2) 34 + h = 60
Isolate the variable, h. Subtract 34 from both sides of the equation:
34 (-34) + h = 60 (-34)
h = 60 - 34
h = 26
3) 1/5x = 30
Isolate the variable, x. Multiply 5 to both sides of the equation:
(5) * (1/5)x = (30) * (5)
x = 30 * 5
x = 150
4) m - 42 = 85
Isolate the variable, m. Add 42 to both sides of the equation:
m- 42 (+42) = 85 (+42)
m = 85 + 42
m = 127
~
Answer:
The answer would be: 8(4x)= 32x
