Answer:
There is no point of the form (-1, y) on the curve where the tangent is horizontal
Step-by-step explanation:
Notice that when x = - 1. then dy/dx becomes:
dy/dx= (y+2) / (2y+1)
therefore, to request that the tangent is horizontal we ask for the y values that make dy/dx equal to ZERO:
0 = ( y + 2) / (2 y + 1)
And we obtain y = -2 as the answer.
But if we try the point (-1, -2) in the original equation, we find that it DOESN'T belong to the curve because it doesn't satisfy the equation as shown below:
(-1)^2 + (-2)^2 - (-1)*(-2) - 5 = 1 + 4 + 2 - 5 = 2 (instead of zero)
Then, we conclude that there is no horizontal tangent to the curve for x = -1.
Answer:
0.7 hours
Step-by-step explanation:
Given that Irina was able to make the same distance from work to home in 0.4 of an hour at 27 miles per hour, we can use this rate and time to find the distance she travels to and from work using the general formula:
d = rt, where d=distance, r = rate and t = time
d = 27(0.4) = 10.8 miles
Since the distance from Irina's home to work is 10.8 miles, we can again use the formula 'd = rt' to find the time it takes her to bike to work at a rate of 16 miles per hour and solving for time, 't':
10.8 = (16)t
t = 0.7 hours
Answer:
y intercept is (0 , 2.5)
x intercept is (3.5 , 0)
Step-by-step explanation:
Khan Academy is fun !!!!!!!!!!
y- intercept is where the line meets the y line l
x- intercept is where the line meets the x line ____
The y-intercept is 2.5
The x-intercept is 3.5
12a) yes, there will be two vanilla cupcakes left over after the baker makes ten more.
Answer:
x = -6
Step-by-step explanation:
That's it. That's the vertical line through (-6, 6).
Literally just the x-coordinate (because it will be parallel to the y-axis, draw it out on a paper if confusion).
