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:
<h2>
b = -2</h2>
Step-by-step explanation:
The point-slope form of equation is: y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope.
m = 2
(4, 6) ⇒ x₀ = 4, y₀ = 6
So, the point-slope form of equation:
y - 6 = 2(x - 4)
Changing to the slope-intercept form of the equation of the line (y = mx + b, where m is the slope and b is the y-intercept of the line):
y - 6 = 2x - 8 {add 6 to both sides}
y = 2x - 2 ⇒ b = -2
Answer:
4/3 or 1 and 1/3 or 1.33333 repeating
Step-by-step explanation:
you have 4 granola bars and 3 friends and you want to divide them among 3 friends
4/3
<span>(a) What is the capacity of the container?
Volume = length * width * height
V = 4ft * 2ft * 3ft
V = 24 ft</span>³
<span>
(b) How much material was used to make the container?
Surface area = sum of 6 faces of the prism
4 ft x 3 ft = 12 ft</span>² → 12 ft² x 2 = 24 ft²
4 ft x 2 ft = 8 ft² → 8 ft² x 2 = 16 ft²
2 ft x 3 ft = 6 ft² → 6 ft² x 2 = 12 ft²
<span>
Surface area = 24 ft</span>² + 16 ft² + 12 ft² = 52 ft²
