Answer: x = 6
<u>Step-by-step explanation:</u>
<em>multiplied by common denominator</em>
18 + 2x = 5x
<u> -2x</u> <u>-2x</u>
18 = 3x
<u>÷3 </u> <u>÷3 </u>
6 = x
Since "x" is in the denominator, the restriction is that x ≠ 0. If the solution was x = 0, then the solution would not be valid and would be eliminated as an answer.
Remember that "x" is just an unknown value. It is possible to add two fractions together and have their sum be a fraction.
For example: 
could be written as 
. When we solve it, we will get x = 5.
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Answer: Edward
<u>Step-by-step explanation:</u>
The denominator cannot equal zero, so:
- x + 1 ≠ 0 → x ≠ -1
- x - 2 ≠ 0 → x ≠ 2
- x - 4 ≠ 0 → x ≠ 4
Those x-values are the asymptotes, which is where the function is undefined.
Answer:
If p is the smallest of n consecutive integers of the same sign than we have p , p+1 , p+2 , … , p+(n−1) ,
So the sum is
∑k=0n−1(p+k)=∑k=0n−1p+∑k=0n−1k=np+n2−n2
Here n=4
So we have 4p+6
And checking
p+(p+1)+(p+2)+(p+3)=4p+6
Note if p=−v
Than you have the same thing as if p=v−n+1 just negative for example 3 consecutive integers the smallest is −5 so the sum is −5+(−4)+(−3)=3×−5+32−32=−15+3=−12
On the other hand:
−(3+4+5)=−(3×3+32−32)=−(9+3)=−12
If p=−v the sum of next v+1 integers is −(∑k=0vk)=−(v2+v2)
Than needs an other v integers to bring it up to 0 again. From there it is
∑k=0hk=h2+h2
Where h=n−(2v+1) .
So recap if p is the smallest of n consecutive integers their sum is
p+(p+1)+(p+2)+…+(p+(n−1))=⎧⎩⎨⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪np+n2+n2−(n|p|+n2+n2)((n−|p|)2+(n−|p|)2)−(|p|p+|p|2+|p|2)((n−|p|)2+(n−|p|)2)n≥0p<0∧n<|p|+1p<0∧|p|<n<2|p|+1p<0∧n>2|p|+1
Step-by-step explanation:
Lets find out...
a^2 + b^2 = c^2
27^2 + 79^2 = 84^2
729 + 6241 = 7056
6970 = 7056....incorrect....no, it is NOT a right triangle
Answer: a. Population = Fortune companies
b. Parameter = proportion of companies did not find that such surveys intruded significantly on their workday.
c. Sampling frame= List of all Fortune companies.
d. sample size = 500.
Step-by-step explanation:
Population is the largest group of individuals of objects that are point of interest for a researcher.
Here, Population = Fortune companies
Parameter is the measure of characteristic of a population.
Here, Parameter = proportion of companies did not find that such surveys intruded significantly on their workday.
Sampling frame = List of all individuals in population.
Here , Sampling frame= List of all Fortune companies.
Sample is a subset of population , here sample size = 500.
Answer:
(4^3)3 and 4^3 • 4^3 = 192 and 4096 = No
(3^4)^4 and 3^8 • 3^8 = 43046721 and 43046721 = Yes
6^4 • 3^4 and 18^8 = 104976 and 11019960576 = No
4^3 • 5^3 and 2^0 = 8000 and 1 = No
