Factored Form:
x^2 - 4x - 5
Simplifying:
x^2 + - 4x + - 5 = 0
Reorder the terms:
- 5 + - 4x + x^2 = 0
Solving for variable " x":
Subproblem 1:
Set the factor ( - 1 + - 1x) equal to Zero and attempt to solve.
Simplifying:
- 1 + - 1x = 0
Solving:
- 1 + - 1x = 0
Move all terms containing x to the left, all other terms to the right
Add 1 to each side of equation:
- 1 + 1 + - 1x = 0 + 1
Combine Like Terms: 0 + 1 = 1
x = - 1
Divide each side by - 1
x = - 1
Simplifying: x = - 1
Subproblem 2: Set the factor (5 + - 1x) equal to Zero attempt to solve
Simplifying:
5 + - 1x = 0
Move all terms containing x to the left, all other terms to the right
Add - 5 to each side of the equation
5 + - 5 + - 1x = 0 + 5
Combine Like terms: 5 + - 5 = 0
0 + - 1x = 0 + - 5
- 1x = 0 + - 5
Combine Like Terms: 0 + - 5 = - 5
- 1x = - 5
Divide each side by - 1
x = 5
Simplifying:
x = 5
Solution:
x = { - 1, 5}
Answer when factored:
(x + 1)(x - 5)
hope that helps!!!
Step-by-step explanation:
Step 1:
Let x equal the repeating decimal you are trying to convert to a fraction.
Step 2:
Examine the repeating decimal to find the repeating digit(s).
Step 3:
Place the repeating digit(s) to the left of the decimal point.
Step 4:
Place the repeating digit(s) to the right of the decimal point.
Step 5:
Using the two equations you found in step 3 and step 4, subtract the left sides of the two equations. Then, subtract the right sides of the two equations
As you subtract, just make sure that the difference is positive for both sides.
H/4=7/14
we cross multiply , so
14*h = 7*4
14h=28
divide by 14 on both sides
h=28/2=2
Answer:
Correlation requires both variables to be quantitative.
Step-by-step explanation:
The correlation coefficient measures the strength of relationship between two quantitative variables. In the given scenario correlation between sex of American workers and their income is computed and indicated that there is a high correlation between them. The sex of American worker is a categorical variable or a qualitative variable while income of American worker is a quantitative variable. The correlation between a quantitative variable and a qualitative variable can't be computed. So, the statement explains the blunder in the given scenario is "Correlation requires both variables to be quantitative".
The equation that models the total cost is y = 100 + 22.5m
Step-by-step explanation:
Fitness member ship cost = $100
Monthly fee = $25
Discount = 10% on monthly fee
To calculate new monthly fee after discount,
25 - (25*10%) --> 25 - 2.5 --> $22.5
Number of months = m
Fee in m months = 22.5*m = 22.5m
<u>Equation:</u>
(c) is constant which is the membership fee
(x) is the monthly fee $22.5
(m) is the number of months
(y) is the total cost
So,
y = mx + c
y = m(22.5) + 100
y = 100 + 22.5m
Therefore, the equation that models the total cost is y = 100 + 22.5m
Keyword: Equation
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