Answer:
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
Step-by-step explanation:
Answer:
16/3 or 5.3
Step-by-step explanation:
150 miles = 4 hours
Find how long it takes to travel 50 miles(GCF between 150 and 200)
150/3 = 4/3
50 miles = 1 1/3 hours: multiply by 4 to get 200 miles
50 x 4 = 4/3 x 4/1
200 = 16/3
16/3 hours or 5.3
To determine which relation is a function, we can perform something called the vertical line test. We cover the graph in repeating vertical lines and if one vertical line connects with more than one point of the relation, the relation is not a function.
The relation in the bottom right corner is the only relation that passes the vertical line test.
The line y = x + 3 has slope 1, so we look for points on the curve where the tangent line, whose slope is dy/dx, is equal to 1.
y² = x
Take the derivative of both sides with respect to x, assuming y = y(x) :
2y dy/dx = 1
dy/dx = 1/(2y)
Solve for y when dy/dx = 1 :
1 = 1/(2y)
2y = 1
y = 1/2
When y = 1/2, we have x = y² = (1/2)² = 1/4. However, for the given line, when y = 1/2, we have x = y - 3 = 1/2 - 3 = -5/2.
This means the line y = x + 3 is not a tangent to the curve y² = x. In fact, the line never even touches y² = x :
x = y² ⇒ y = y² + 3 ⇒ y² - y + 3 = 0
has no real solution for y.
Answer:
y=25x-5
Step-by-step explanation:
25x is the money you start with and 5 is a constant that you lose per game hence the negative/or subtraction sign
Branliest plsssss
