<span>Simplifying
6(x + 1) + 5 = 13 + -2 + 6x
Reorder the terms:
6(1 + x) + 5 = 13 + -2 + 6x
(1 * 6 + x * 6) + 5 = 13 + -2 + 6x
(6 + 6x) + 5 = 13 + -2 + 6x
Reorder the terms:
6 + 5 + 6x = 13 + -2 + 6x
Combine like terms: 6 + 5 = 11
11 + 6x = 13 + -2 + 6x
Combine like terms: 13 + -2 = 11
11 + 6x = 11 + 6x
Add '-11' to each side of the equation.
11 + -11 + 6x = 11 + -11 + 6x
Combine like terms: 11 + -11 = 0
0 + 6x = 11 + -11 + 6x
6x = 11 + -11 + 6x
Combine like terms: 11 + -11 = 0
6x = 0 + 6x
6x = 6x
Add '-6x' to each side of the equation.
6x + -6x = 6x + -6x
Combine like terms: 6x + -6x = 0
0 = 6x + -6x
Combine like terms: 6x + -6x = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.</span>
Answer:
614.25
Step-by-step explanation:
The amount of interest is computed using ...
... I = Prt . . . . . where P is the principal amount, r is the annual interest rate, and t is the number of years.
Here, the interest is ...
... I = 520×0.075×(2 5/12) = 39×29/12 = 94.25
The total amount due, interest plus principal, is ...
... 94.25 + 520 = 614.25
How to solve your problem
x^{2}-21=100
Quadratic formula
Factor
1
Move terms to the left side
x^{2}-21=100
x^{2}-21-100=0
2
Subtract the numbers
x^{2}\textcolor{#C58AF9}{-21}\textcolor{#C58AF9}{-100}=0
x^{2}\textcolor{#C58AF9}{-121}=0
3
Use the quadratic formula
x=\frac{-\textcolor{#F28B82}{b}\pm \sqrt{\textcolor{#F28B82}{b}^{2}-4\textcolor{#C58AF9}{a}\textcolor{#8AB4F8}{c}}}{2\textcolor{#C58AF9}{a}}
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
x^{2}-121=0
a=\textcolor{#C58AF9}{1}
b=\textcolor{#F28B82}{0}
c=\textcolor{#8AB4F8}{-121}
x=\frac{-\textcolor{#F28B82}{0}\pm \sqrt{\textcolor{#F28B82}{0}^{2}-4\cdot \textcolor{#C58AF9}{1}(\textcolor{#8AB4F8}{-121})}}{2\cdot \textcolor{#C58AF9}{1}}
4
Simplify
Evaluate the exponent
Multiply the numbers
Add the numbers
Evaluate the square root
Add zero
Multiply the numbers
x=\frac{\pm 22}{2}
5
Separate the equations
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.
x=\frac{22}{2}
x=\frac{-22}{2}
6
Solve
Rearrange and isolate the variable to find each solution
x=11
x=-11
Answer:
Its right
Step-by-step explanation:
Answer:
Single Blind (option 1)
Step-by-step explanation:
The subjects don't know which cream they have but the technicians do.
If the subject knows which cream they have then they can be influenced by the placebo effect. If they don't know but the technicians do then the technicians will be able to look at unbiased responses from the subjects and tell if it works or not. If the technicians don't know which cream each subject has then they won't be able to learn anything from the responses. The technicians need to know which cream each subject has and the subjects can't know which cream they had.
