I think it’s 15 u put the two equations equal to each other
Step-by-step explanation:
Recall that the first derivative of an equation gives us the SLOPE for the tangent line.
So first, we should find the first derivative.
![\frac{dy}{dx} = 6 - 3x^2](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%206%20-%203x%5E2)
With the first derivative, we can solve for the SLOPE of the tangent line at (1,5).
Using x = 1.
![slope = 6 - 3(1)^2](https://tex.z-dn.net/?f=slope%20%3D%206%20-%203%281%29%5E2)
A tangent line is a line. And has the form
Where m is the SLOPE of the line. and b is the y-intercept.
To get to this equation, let's use the point-slope technique.
![y-y_1 = m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%20%3D%20m%28x-x_1%29)
![y - 5 = m(x-1)](https://tex.z-dn.net/?f=y%20-%205%20%3D%20m%28x-1%29)
Solve for slope, substitute it into this equation for m and solve. That is the equation of the tangent line at the point (1,5).
Answer:George
Step-by-step explanation: George is correct because Emma said that the total number of pools in the city is 11 even though it says there are 16 pools in the city, but she got the number of how many are open, George is right because it says what is the ratio of pools open on the weekends to the total amount of pools, and it says there are 6 pools open on the weekend and there are 16 pools in the city in total so he would do 6:16.
Answer:
24 does not equal 21
Step-by-step explanation:
4×-3(×-2)=21
Distribute:
4*6=21
24 does not equal 21
Answer:
11 and 9
Step-by-step explanation:
X+Y=20
X*Y=99
Y=20-X
X*(20-X)=99
20X-X^2=99
20X-X^2–99=0
-(X - 11) (X - 9) = 0
Two solutions
X-11=0, X=11
X-9=0, X=9
Y=20-X, so if X is 9, Y is 11
Y=20-X, so if X is 11, Y is 9
The two numbers are 11 and 9