Karen is correct because
Step-by-step explanation:
10 to the 3rd power is 1000 and 560.9 divided by 1000 is 0.5609
B. (-1,8)
C. (1.5,10)
D. (2,16)
we know that
If the ordered pair is a solution of the equation, then the ordered pair must satisfied the equation
we will proceed to solve each case to determine the solution of the problem
we have
-------> equation
case a)
For
substitute the value of x in the equation and then compare the values of y
so
The ordered pair case a) is not solution
case b)
For
substitute the value of x in the equation and then compare the values of y
so
The ordered pair case b) is not solution
case c)
For
substitute the value of x in the equation and then compare the values of y
so
The ordered pair case c) is not solution
case d)
For
substitute the value of x in the equation and then compare the values of y
so
The ordered pair case d) is a solution
therefore
the answer is
f(-1) =
A) -12
B) -8
C) -6
D) 0
Answer:
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other side. Do the opposite of PEMDAS. Isolate the variable, x.
PEMDAS is the order of operation, and =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, subtract 7y from both sides:
3x + 7y (-7y) = 27 (-7y)
3x = -7y + 27
Next, divide 3 from all terms on both sides:
(3x)/3 = (-7y + 27)/3
x = (-7y/3) + 9
it will take 9 weeks for you and your friend to have the same amount of money in your savings accounts.
To determine the number of weeks it takes for both you and your friend to have the same amount of money in your savings accounts, we need to set up an equation.
Let's denote the number of weeks as 'x'. For you, the amount of money in your savings account after 'x' weeks can be calculated as follows:
Amount of money in your account = $75 + $5x
For your friend, the amount of money in his savings account after 'x' weeks can be calculated as:
Amount of money in your friend's account = $30 + $10x
To find the number of weeks where you both have the same amount of money, we set up the equation:
$75 + $5x = $30 + $10x
Simplifying the equation:
$5x - $10x = $30 - $75
-$5x = -$45
Dividing both sides of the equation by -5 gives us:
x = 9
Therefore, it will take 9 weeks for you and your friend to have the same amount of money in your savings accounts.
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Answer:
9 weeks
Step-by-step explanation:
5x+75=10x+30
-5x -5x
75=5x+30
-30 -30
45=5x
÷5 ÷5
9=x
x=9