Answer:
Solution:
the boat's speed in still water: x
The speed with current: (x+3)
The speed against current: (x-3)
The equation is
3(x+3) = 4(x-3)
x = 21 mph
The distance = 3*(21+3)= 72 miles
I choose (A)
Step-by-step explanation:
Answer:
They live 285 miles apart
Step-by-step explanation:
Let the total distance be x miles
Sean is driving to visit his friend in another state. In the first hour he travels 1/5 of the total distance. This means that he drove x/5 in the first hour. In the second hour he travels 34 miles. That means
Total distance driven in the first and second hour is
(x/5 + 34)miles
He still has 194 miles more to go.
Therefore,
The total distance is the sum of the distance travelled in the first and second hour + the remaining distance.
x = x/5 + 34 + 194
x = x/5 + 228
Cross multiplying
5x = x + 1140
4x = 1140
x = 1140/4 = 285 miles
Slope: Take two points from the graph, and do y-y, over x-x.
for ex. (1,2) and (2,4) do 4-2 over 2-1. your slope is 2/1= 2
y-intercept: find the one point on the graph that is exactly on the y-axis.
for ex. (4,0)= your y-intercept is 4
Answer: q(x) = 0.005(x - 40)² + 70
<u>Step-by-step explanation:</u>
f(x) = a(x - h)² + k <em>where a is the vertical stretch and (h, k) is the vertex.</em>
Which coordinate shifts the graph up?<em> The y-coordinate for the vertex is k.</em>
p(x) = 0.005(x - 40)² + 60
q(x) = 0.005(x - 40)² + 60 <u>+ 10</u>
= 0.005(x - 40)² + 70
Answer:
x=-6
Step-by-step explanation:
