Answer: D
<u>Step-by-step explanation:</u>
f(x) = 2x² - x + 5
f(-3) = 2(-3)² - (-3) + 5
= 2(9) + 3 + 5
= 18 + 3 + 5
= 26
Answer:
A
Step-by-step explanation:
A is the procedure
Answer:

Graph in the image attached.
Step-by-step explanation:
Using the model of a linear equation, we have:

'b' is the y-intercept of the equation, that is, the inicial value of G, when D = 0.
So if David starts the trip with 14 gallons of gas, we have b = 14.
'a' is the slope of the line, that is, an increase of 1 in the value of D causes an increase of 'a' in the value of G.
So if the car uses one gallon every 20 miles, the value of a is -1/20 (an increase of 20 in D causes a decrease of 1 in G).]
So our equation is:

The graph of this equation is in the image attached.
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Answer:
y - 1 = 3/2(x - 6)
Step-by-step explanation:
First, we need to find the slope of the given equation. Without a graph, the easiest way to do this is by isolating y.
2x + 3y = 18
3y = -2x + 18 (Subtract 2x from both sides)
y = -2/3x + 6 (Divide both sides by 3)
The slope is -2/3. Perpendicular lines have opposite reciprocal slopes, so a line perpendicular to this one would need to have a slope of 3/2. We're given a point for this line, so we can write the equation for it in point-slope form.
Point-Slope Form: 
y - 1 = 3/2(x - 6)
If necessary, this can also be written in slope-intercept form by solving for y.