Inequalities and equations use similar steps to solve, but inequalities give a range of numbers that can represent the variable while an equation will give a direct answer.
Example:
4+5x=24
First you would subtract 4 or add the opposite of 4 from 24.
4+5x=24
+(-4) +(-4)
—————
5x=20
Then divide each side by 5 or multiply each side by the reciprocal of 5 to isolate the variable.
1/5*5x=20*1/5 (reciprocal)
X= 4
You would use the same steps in an inequality but end up with a different sign.
Answer:
f(2) = 36
Step-by-step explanation:
Hello!
To find f(x), plug in 2 for x in the original equation.
Solve:
- f(x) = 3x - 5x + 40
- f(2) = 3(2) - 5(2) + 40
- f(2) = 6 - 10 + 40
- f(2) = -4 + 40
- f(2) = 36
The final solution is 36.
Answer:
a = $ 18
Step-by-step explanation:
It is given that Chinase's allowance is $6 per week and it is 1/3rd of his brother's allowance. Assuming the brother's allowance as "a", we can write the equation as follows:
<u>a = $ 18</u>
Therefore, the allowance earned by Chinse's brother every week is found to be <u>$ 18</u>.
Answer:
B
Step-by-step explanation:
(2^-3)^4=2^(-12) = 1/(2^12)
The formula for an average of three numbers is (x+y+z)/3. So if V equals the average, then we find the formula
V = (x+y+z)/3
We are now looking for x. We can divide each of the variables in the parentheses by 3, making the formula
V = x/3 + y/3 + z/3
So now bring the unwanted variables to the same side as V.
V - y/3 - z/3 = x/3
Now multiply both sides by 3 to find x.
3V - y - z = x
x = 3V - y - z