Please please help please please help me please please help please please
1 answer:
You might be interested in
Answer:
Given: , y =6
To prove: x =7
On substituting the value of y =6 in the equation 7y = 8x -14 to solve for x.
or
42 = 8x -14 ......[1]
Addition Property of equality states that you add the same number to both sides of an equation.
Add 14 to both sides in equation [1];
42+14 =8x -14+14
Simplify:
56 = 8x
or
8x =56 ......[2]
Division Property of equality states that you divide the same number to both sides of an equation.
Divide by 8 to both sides of an equation [2];
Simplify:
x =7 Hence proved!
A two Column proof:
Statement Reason
1. 7y = 8x -14 Given
y= 6
2. 7(6) = 8x -14 Substitution property
3. 42+14 = 8x Addition property of equality
4. 56 =8x Simplify
5. x =7 Division Property of equality
Answer:
We get x=3 and y=21
The ordered pair will be: (3,21)
Step-by-step explanation:
We need to use the substitution method to solve the system of equations.
For substitution method we substitute the value of x or y from one equation to other.
Let:
Putting value of y from equation 2 into equation 1
So, we get value of x=3
Now, for finding value of y, We substitute the value of x
Find value of x from equation 2
Now, putting value of x in equation 1
So, we get value of y=21
So, We get x=3 and y=21
The ordered pair will be: (3,21)
Answer:
75% of the data will reside in the range 23000 to 28400.
Step-by-step explanation :
To find the range of values :
We need to find the values that deviate from the mean. Since we want at least 75% of the data to reside between the range therefore we have,
Solving this, we would get k = 2 which shows the value one needs to find lies outside the range.
Range is given by : mean +/- (z score) × (value of a standard deviation)
⇒ Range : 25700 +/- 2 × 1350
⇒ Range : (25700 - 2700) to (25700 + 2700)
Hence, 75% of the data will reside in the range 23000 to 28400.