Answer:
Minimum: 3
Maximum: 13
Step-by-step explanation:
Georgia uses the equation
5 = |8 – x| to find the maximum and minimum values.
We solve the equation for x.

By the definition of the absolute value function, we must have:

We subtract 8 from both sides to get:


This simplifies to:

Therefore the minimum value is 3 and maximum is 13
Simplified: 13/50
Not Simplified: 26/100
Answer:-4
Step-by-step explanation:
Subtract 5 from each side, which leaves you with 3x=-12. Then divide each side by 3. Then that leaves you with x=-4
Answer:
y = ½(13- x)
Step-by-step explanation:
Step 1. Find the<em> slope (m₁) of the original line
</em>
The equation for the original line is
y = 2x - 6
slope = m₁ = 2
Step 2. Find the <em>slope (m₂) of the perpendicular line
</em>
m₂ = -1/m₁ Substitute the value of m₁
m₂ = -1/2
Step 3. Find the <em>equation for the perpendicular line</em>
y = mx + b Substitute the value of m₂
y = -½x + b
The line passes through (5, 4).
4 = -½(5) + b Add 5/2 to each side
4 = -5/2 + b Add 2 to each side
b = 13/2
y = -½x + 13/2
y = ½(13 – x)
In the image, below, the red line is the graph of your original equation.
The blue line passing through (5, 4) is the perpendicular line.
If there are ten black pens, eight blue pens, and twenty pens in total, then there are 2 red pens. This means that the ratio of red to black is 2:10=1:5. Hope this helps!