Answer:
y-2=3(x-8) or y=3x-22
Step-by-step explanation:
Point slope form is y-y1=m(x-x1)
Here, y1 is 2 and x1 is 8 because of the ordered pair given. The slope, m, is 3. When you put those into the equation, you get y-2=3(x-8). Depending on whether you want to simplify that, the answer could also be y=3x-22 (distribute the 3 and you get y-2=3x-24, add the two and voila!) Hope this was useful! :)
"for each hour that she works over 40hrs in a week" key words "for each hour" in that section of the sentence. so we take 489.85 divide that by 9.7 = 50 and then we divide 489.85 by 5 so that we can get 1/5 of 50, then we take 9.7 times 1.5 = 14.55 and divide that by 97.97
489.85/5 = 97.97/14.55 = 6.73 + 40hrs = 46.73hrs
Not sure why it's a decimal.. but I'm 100% sure that's how you solve it
Answer:
3.2
Step-by-step explanation:
x² + xy = 20
Take the derivative with respect to time:
2x dx/dt + x dy/dt + y dx/dt = 20
(2x + y) dx/dt + x dy/dt = 20
Given x = -5, y = 1, and dx/dt = -4:
(2(-5) + 1) (-4) + (-5) dy/dt = 20
(-10 + 1) (-4) − 5 dy/dt = 20
36 − 5 dy/dt = 20
5 dy/dt = 16
dy/dt = 3.2
Answer:
x = 7
y = 4
Step-by-step explanation:
The sum of two numbers equaling 11 can be written as
x + y = 3
The difference of the two numbers equaling 3 can be written as
x - y = 3
Where x and y represent the unknown numbers
So now we have a system of equations
We can solve for y in the 1st equation by subtracting x on both sides
x + y = 11
y = 11 - x
We can plug the expression for y into the 2nd equation and solve for x
x - (11 - x) = 3
x - 11 + x = 3
2x - 11 = 3
2x = 14
x = 7
Now we can plug 7 for x into any of the equations and solve for y
1st equation:
7 + y = 11
y = 4
2nd equation:
7 - y = 3
-y = -4
y = 4
So, x = 7 and y = 4
Hope this helped!
Answer:
Sorry, you didn't post an image. You can repost a new question.
Step-by-step explanation: