<h3>
<u>Explanation</u></h3>
- Given the system of equations.
- Solve the system of equations by eliminating either x-term or y-term. We will eliminate the y-term as it is faster to solve the equation.
To eliminate the y-term, we have to multiply the negative in either the first or second equation so we can get rid of the y-term. I will multiply negative in the second equation.
There as we can get rid of the y-term by adding both equations.
Hence, the value of x is 3. But we are not finished yet because we need to find the value of y as well. Therefore, we substitute the value of x in any given equations. I will substitute the value of x in the second equation.
Hence, the value of y is 4. Therefore, we can say that when x = 3, y = 4.
- Answer Check by substituting both x and y values in both equations.
<u>First</u><u> </u><u>Equation</u>
<u>Second</u><u> </u><u>Equation</u>
Hence, both equations are true for x = 3 and y = 4. Therefore, the solution is (3,4)
<h3>
<u>Answer</u></h3>
Answer:
The value of c that completes the square 
is 1
Step-by-step explanation:
We need to find the value of c that completes the square
The formula used will be: 
In the question given the value c can be found by breaking the middle term. we are given 2x while the general formula is 2ab for middle term so,
2(x)(1) = 2x
so, c= 1
Solving:
So, the value of c that completes the square is 1
Answer:
For a normal distribution 68% of data falls within one standard deviation from mean on both sides of mean
Step-by-step explanation:
A normal distribution's graph is a bell shaped curve that is completely described by its mean and standard deviation. Standard deviation is measured in terms of distance from mean.
34% of data is covered in one standard deviation from mean on one side.
Therefore, for a normal distribution 68% of data falls within one standard deviation from mean on both sides of mean ..
Answer:
The Quantity 10$ per shirt represent a unit rate .
Step-by-step explanation:
Given:
There are 3 white shirts and 2 black shirts . per 10$ dollar.
To find:
Which quantities represent the unit rate ?
Solution:
Total of 5 shirts .
which means total of 50 dollar among 5 shirts.
i.e.50/5=10 dollars .
Hence each shirt causes 10 dollars or 10$ per shirt.
The Quantity 10$ per shirt represent a unit rate .
<em>Answer:</em>
<em>a is greater than 1, so a−1 is positive.</em>
<em />
<em>The distance between a and 1 appears to be less than the distance between 1 and 0, so it looks like a is less than 2. Thus a−2 is negative.</em>
<em />
<em>b is negative, so −b is positive.</em>
<em />
<em>The distance between a and 0 appears to be less than the distance between b and 0, so it looks like |a| is less than |b|. Since b is negative and a is positive, a+b is negative.</em>
<em />
<em>a−b = a+−b. Since b is negative, −b is positive. a is also positive. Thus, a−b is positive.</em>
<em />
<em>Since |a| and |b| are both greater than 1, |ab| is also greater than 1 (this builds on the intuition students gained in fifth grade as in 5.NF.5). ab is negative since a is positive and b is negative. Thus, ab+1 is negative.</em>
