Answer
We know that this is a straight line, so it will follow the slope intercept equation:
y = mx + b.
To solve this problem, we need to plug in the x and y values for one point to get b, and then we will know the equation for the line, which is valid for all points.
x = −4
y = −3
m = 1/2
Let's start by solving for b:
b = y − mx
Now we can plug in numbers:
b = −3 − (1/2 × −4)
b = −3 − (−2)
b = −3 + 2
b = −1
Now that we know m and b, we can plug into our original equation:
The equation is y = 1/2x − 1.
Answer:
minutes
Step-by-step explanation:
Let x be the time in the beginning (in minutes).
Given: The track team is trying to reduce their time for a relay race.
First they reduce their time by t^1=2.1 minutes.
Then they are able to reduce that time by t^2=1/10
If their final time is 3.96 minutes, then
X - t^1 - t^2 = 3.96
=> X = 3.96 + t^1 + t^2
=> X = 3.96 + 2.1 + 1/10
=> X = 6.16
Answer:
a direct proportionality constant (k) is calculated by dividing any quantity of the 2nd magnitude by the corresponding quantity of the 1st.
Step-by-step explanation:
K = y/x
The formula for the discriminant is
b^2 - 4•a•c
now that you have this equation, plug in the values
(-17)^2 - 4(4)(3)
you get 289-48 and that is 241 which is the value of the discriminant.
since that value is positive, there are 2 solutions. if it were negative, there would be no solutions. if it were 0, there’d be one solution