Answer:
g(7) = -34/13
Step-by-step explanation:
In order to find g(7), we first need to find the g(x) function. To do so, use the two ordered pairs given, (-3, 2) and (10, -4). First we find the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (2 - -4)/(-3 - 10)
m = 6/-13
Now that we have the slope, we can use that and either ordered pair in point-slope form to get the equation of the function.
y - y1 = m(x - x1)
y - 2 = 6/13(x + 3)
y - 2 = -6/13x - 18/13
y = -6/13x + 8/13
g(x) = 6/13x + 8/13
Now that we have this, we can plug in 7 for x and find g(7).
g(x) = -6/13x + 8/13
g(7) = -6/13(7) + 8/13
g(7) = -42/13 + 8/13
g(7) = -34/13
The answer is
-2,4
basically all of the valid x values
Answer: the total cost of the meal is
$17.7415
Step-by-step explanation:
The original cost of the breakfast $10.25 and the original cost of the coffee is $3.45. This means that the total cost of the breakfast and the coffee was
10.25 + 3.45 = $13.7
You leave a 20% tip. This means that the amount of tip that you left is
20/100 × 13.7 = 0.2 × 13.7 = $2.74
The sales tax is 9.5%. This means that the amount of sales tax that you paid is
9.5/100 × 13.7 = 0.095 × 13.7 = $1.3015
Therefore, the total cost of the meal would be
13.7 + 2.74 + 1.3015 = $17.7415
Answer:
However much he had on his card in the first place.
Step-by-step explanation:
Say he had $500 on his card. He took 0 rides ( no rides ) so he doesn't lose any money. Leaving him with his starting amount, $500.
