To solve equations, you isolate the variable you are solving for on one side and everything else on the other side.
The first step to solving this equation is to combine like terms.
Combining like terms means to add up all terms that have the same variable(s) and exponent.
If no exponent is shown, then a 1 exponent is implied. The reason why we don't show a term raised to the first power is that it doesn't have any effect on the term.
I see three terms with the x variables. We can combine them. Why? Because they all have the same variable and exponent.
I'll rearrange the left-hand side to combine all the terms with the x variable.
Now we have -3 + 2x - 4x - 2x = -6
Combine all terms that have the x variable.
-3 + 2x - 4x - 2x = -6
-3 - 4x = -6
Now we have -3 - 4x = -6
What can we do now to isolate the x variable on the left-hand side?
For starters, we can add 3 to each side of the equation.
That way the -3 term will disappear.
-3 - 4x + 3 = -6 + 3
-4x = -3
Last step.
The x variable is being multiplied by the -4. If we reverse that operation
we can get the value of x.
-4x / -4 = 3 / -4
x = 3/-4 or x = -0.75
Answer:
feet
Step-by-step explanation:
The depth of the fish to the surface of water at 1:00 pm = 2 
feet
= 
feet
The depth of the fish to its initial position at 4:00 pm = 3 
feet
= 
feet
The position of the fish with respect to the water's surface at 4:00 pm = the depth of the fish to the surface of water at 1:00 pm + the depth of the fish to its initial position at 4:00 pm
= +
= 
=
The position of the fish with respect to the water's surface at 4:00 pm is feet.
Answer:
8=1.2x+2
Step-by-step explanation:
you are given the total ($8) and that he wants one loaf of bread $2×1, so 8=1.2(the cost) times the number of tomatoes plus $2
f(x) + n - shift a graph of f n units up
f(x) - n - shift a graph of f n units down
f(x + n) - shift a graph of f n units left
f(x - n) - shift a graph of f n units right.
f(x) = x³, g(x) = (x - 2)³ - 3 = f(x - 2) - 3
2 units right and 3 units down.
Given the weekly deductions raised, the annual Federal Tax deduction is $ 3,189.68.
Given that the deductions for the week were: Federal Tax $ 61.34, FICA $ 52.05, and State $ 7.92; To determine what is the annual Federal Tax deduction, the following calculation must be performed:
The weekly deduction must be multiplied by the number of weeks that a year has, to obtain the final amount of taxes.
- $ 61.34 x 52 = X
- $ 3,189.68 = X
Therefore, the annual Federal Tax deduction is $ 3,189.68.
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