Answer: a = 0
Step-by-step explanation:
ok we got
. Our task is to choose a value for
so that "the tangent line to
at
passes through
."
Well
, and
. So our tangent line looks like this:
![y - 3 = (4 + a)(x - 1)](https://tex.z-dn.net/?f=y%20-%203%20%3D%20%284%20%2B%20a%29%28x%20-%201%29)
![y = 4x + ax - a - 1](https://tex.z-dn.net/?f=y%20%3D%204x%20%2B%20ax%20-%20a%20-%201)
We know this must contain the point
, so
![2a + 7 = 4(2) + a(2) - a - 1](https://tex.z-dn.net/?f=2a%20%2B%207%20%3D%204%282%29%20%2B%20a%282%29%20-%20a%20-%201)
![a = 8 - 7 - 1\\\\\boxed{a = 0}](https://tex.z-dn.net/?f=a%20%3D%208%20-%207%20-%201%5C%5C%5C%5C%5Cboxed%7Ba%20%3D%200%7D)
Answer:
I would recommend the website symbolab.com it really helps
Step-by-step explanation:
Answer:
y = -7/2x +17
Step-by-step explanation:
First, lets put the original equation into slope intercept form which is y=mx+b
7x + 2y = -8
subtract 7x on both sides
2y = -7x -8
divide by 2 on both sides
y = -7/2x - 8/2
y = -7/2x - 4
now we can plus in any x and y values to get a new b, which is our y intercept.
lets use (4,3)
Also, since they are parallel, their slope (m) will be the same.
y = -7/2x + b
3 = -7/2(4) + b
3 = -14 + b
b = 17
lets plug in our new b into our original equation
y = -7/2x + 17
Answer:
The probability that a student takes Spanish given that the student is taking Computer Programming = 0.375
Step-by-step explanation:
Given -
Let event A = student takes Spanish
Event B = student takes Computer Programming
= student takes Computer Programming and Spanish
P(B) = 0.4 ,
= 0.15
What is the probability that a student takes Spanish given that the student is taking Computer Programming =
(Probability of an event occuring given that another event has already occured , we use condition probability )
![P(\frac{A}{B}) = \frac{P(A \bigcap B )}{P(B)}](https://tex.z-dn.net/?f=P%28%5Cfrac%7BA%7D%7BB%7D%29%20%3D%20%5Cfrac%7BP%28A%20%5Cbigcap%20B%20%29%7D%7BP%28B%29%7D)
= ![\frac{.15}{0.4}](https://tex.z-dn.net/?f=%5Cfrac%7B.15%7D%7B0.4%7D)
= 0.375