Solve x squared minus 2x minus 15 equals 0 using the zero product property
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Answer:
11. This is totally correct (See attached image)
12. Consider Age.
Suppose, we want to test H0: mean age(White)=mean age(Black) against H1: mean age(White)>mean age(Black) and we find the one sided p value (which is just half of the 2 tailed p value) less than 5% and hence the difference is significant
Consider Father education.
Suppose, we want to test H0: mean years of father's education(White)=mean years of father's education(Black) against H1: mean years of father's education(White)>mean years of father's education(Black) and we find the one sided p value (which is just half of the 2 tailed p value) less than 5% and hence the difference is significant
Consider Highest year of school completed.
Suppose, we want to test H0: mean completion(White)=mean completion(Black) against H1: mean completion(White)>mean completion(Black) and we find the one sided p value (which is just half of the 2 tailed p value) less than 5% and hence the difference is significant
Thus, we find significant difference with respect to education and life expectancy. However, it is difficult to comment on racial inequality, it requires further information on whether equal opportunity was available for both and some related administrative information.
Part A) x cannot be 1 or 0, because that would lead do division by 0. If x=1, 1-1=0. If x=0, then we have straight division by 0.
Part B) x=2 or x=1.
Together they could clean the house in 3.75 hours.
Explanation:
Part A is explained with the answer.
Part B)
We will first multiply each term by (x-1) to cancel those denominators:
Now we multiply everything by x to cancel that denominator:
We want all of the variables to be on the same side of the equation, so subtract 3x from both sides:
3x-2-3x=x²-3x
-2=x²-3x
To solve quadratics, we set them equal to 0. Add 2 to both sides to make this happen:
-2+2=x²-3x+2
0=x²-3x+2
To solve this by factoring, we want factors of 2 that sum to -3. -2(-1)=2 and -2+-1=-3:
0=(x-2)(x-1)
The zero product property tells us that either x-2=0 or x-1=0; therefore x=2 or x=1.
Max cleans 1/10 of the house in an hour, since it takes him 10 hours to clean the whole house. Maggie cleans 1/6 of the house in an hour, since it takes her 6 hours to clean the whole house. Our equation is then:
1/10x+1/6x=1 (one whole, since it is one house; x is the number of hours)
Find a common denominator. 60 is the first thing that 10 and 6 both evenly divide into:
6/60x+10/60x=1
16/60x = 1
Divide both sides by 16/60:
16/60x ÷ 16/60 = 1 ÷ 16/60
x = 1/1 ÷ 16/60
x = 1/1 ×60/16
x = 60/16 = 3.75.
Part B) x=2 or x=1.
Together they could clean the house in 3.75 hours.
Explanation:
Part A is explained with the answer.
Part B)
We will first multiply each term by (x-1) to cancel those denominators:
Now we multiply everything by x to cancel that denominator:
We want all of the variables to be on the same side of the equation, so subtract 3x from both sides:
3x-2-3x=x²-3x
-2=x²-3x
To solve quadratics, we set them equal to 0. Add 2 to both sides to make this happen:
-2+2=x²-3x+2
0=x²-3x+2
To solve this by factoring, we want factors of 2 that sum to -3. -2(-1)=2 and -2+-1=-3:
0=(x-2)(x-1)
The zero product property tells us that either x-2=0 or x-1=0; therefore x=2 or x=1.
Max cleans 1/10 of the house in an hour, since it takes him 10 hours to clean the whole house. Maggie cleans 1/6 of the house in an hour, since it takes her 6 hours to clean the whole house. Our equation is then:
1/10x+1/6x=1 (one whole, since it is one house; x is the number of hours)
Find a common denominator. 60 is the first thing that 10 and 6 both evenly divide into:
6/60x+10/60x=1
16/60x = 1
Divide both sides by 16/60:
16/60x ÷ 16/60 = 1 ÷ 16/60
x = 1/1 ÷ 16/60
x = 1/1 ×60/16
x = 60/16 = 3.75.