Answer:
Linear Function in standard form
Step-by-step explanation:
Ax + By = C
Place the dock at (0, 0) in the xy-plane. At 5:00 P.M. boat A is at (0, 0). It's position after 5:00 P.M. is given by (0, -20t) where t is in hours. At 6:00 P.M. boat B is at (0, 0). That's 1 hour after boat A left the point (0, 0) so 1 h x 15 Km/h=15 Km which means at 5:00 P.M. boat B was 15 Km west of the dock at (0, 0) which means it was at (-15, 0) at 5:00 P.M. Boat B's position after 5:00 P.M. is therefore (-15+15t, 0). Use the distance formula to find the distance between the two boats.
<span>d=√((x2-x1)²+(y2-y1)²) </span>
<span>=√((-15+15t-0)²+(0+20t)²) </span>
<span>=√(225-450t+225t²+400t²) </span>
<span>=√(225-450t+625t²) </span>
<span>Find the derivative </span>
<span>d'= (1/2)(225-450t+625t²)^(-1/2)(-450+1250t) </span>
<span>Set equal to zero and you get </span>
<span>-450+1250t=0 </span>
<span>t=450/1250 </span>
<span>=0.36 h=22 minutes </span>
X → first
X + 2 → second
X + 4 → third
X + 4 → fourth
x + x + 2 + x + 4 + x + 6 = 100
4x + 12 = 100
4x = 88
x = 22
x + 2 = 24
x + 4 = 26
x + 6 = 28
So your integers are 22, 24, 26, and 28.
The total cost of these pepperoni slices is $1.92
<h3>
What is the total cost of these pepperoni slices?</h3>
Each slice measures 7/8 of an inch. Here we have N slices, such that the measure of the N slices is 56 inches, then we have:
N*(7/8 in) = 56 in
Now we can find the value of N, the number of slices used:
N = (8/7)*56 = 64
And each slice costs $0.03, then the cost of the 64 slices is:
C = $0.03*64 = $1.92
The total cost of these pepperoni slices is $1.92
If you want to learn more about costs:
brainly.com/question/14315509
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