Answer:

Step-by-step explanation:
Rewrite the equation as:

Isolating 

Factor:

Dividing both sides by
and multiplying them by 

Integrate both sides:

Evaluate the integrals:

Solving for y:

Evaluating the initial condition:


Converting 60 degrees to radians:

Replacing
in the diferential equation solution:

Answer (<u>assuming it can be in slope-intercept form)</u>:
y = -x - 1
Step-by-step explanation:
When knowing the slope of a line and its y-intercept, you can write an equation to represent it in slope-intercept form, or y = mx + b format. Substitute the m and b for real values.
1) First, find the slope of the equation, or m. Pick any two points from the line and substitute their x and y values into the slope formula,
. I chose the points (0, -1) and (-1, 0):

Thus, the slope is -1.
2) Now, find the y-intercept, or b. The y-intercept of a line is the point at which the line crosses the y-axis. By reading the graph, we can see that the line intersects the y-axis at the point (0,-1), therefore that must be the y-intercept.
3) Now, substitute the found values into the y = mx + b formula. Substitute -1 for m and -1 for b:

Answer:
2 hours
Step-by-step explanation:
Slope represents the hourly rate.
Constant represents initial price.

Answer:
Square Root of 384
Step-by-step explanation:
Answer:
Carla needs to make at least 11 two-pointer shots in the surrent game
Step-by-step explanation:
The first thing we can do is to find the difference between the number of points that Carla scored in her first game and her second game.
This will be 46 - 24 = 22 points difference
Carla needs to make a certain number of two-pointers to get at least the same score she had in her previous game.
We can get this number of two-pointers that needed to be made by dividing the difference in scores by 2
i.e number of two-pointer shots = 22/2 =11 shots
Therefore, Carla needs to make at least 11 two-pointer shots to be able to get the same score in her current game.