Answer:
D
Step-by-step explanation:
So we want to find the equation of the line parallel to y=3x+5 and goes through the point (1,4).
First, since the new line is parallel, its slope must be equivalent. Therefore, the slope of our new line <em>must</em> also be 3.
Now, we can figure out the rest of the equation using the point-slope form:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
Substitute 3 for m. Let's let (1,4) be x₁ and y₁. Thus:
![y-4=3(x-1)](https://tex.z-dn.net/?f=y-4%3D3%28x-1%29)
Distribute the right:
![y-4=3x-3](https://tex.z-dn.net/?f=y-4%3D3x-3)
Add 4 to both sides:
![y=3x+1](https://tex.z-dn.net/?f=y%3D3x%2B1)
And we're done!
The correct answer is D.
![40*41=16401649](https://tex.z-dn.net/?f=40%2A41%3D1640%3C1649%5C%5C%0A41%2A41%3D1681%3E1649)
There are 40 times 41 in 1649
Here is the step by step process:
Answer:
When randomly selecting an adult, A denotes the event of selecting someone with blue eyes. What do P(A) and P([math] \overline A [/math]) represent?
Step-by-step explanation:
This is an interesting problem. The underlying solution is to solve a system of equations.
First we need to define what's a cubic polynomial function :
f(x) =
, where a,b,c,d are constant values.
We assume from the problem that f(-1) = 40, and that the zeros of our unknown function are -6,-5 and -2.
This gives us a system of equation to solve :
![-216a +36b-6c+d=0\\-125a+25b-5c+d=0\\-8a+4b-2c+d=0\\-a+b-c+d = 40\\](https://tex.z-dn.net/?f=-216a%20%2B36b-6c%2Bd%3D0%5C%5C-125a%2B25b-5c%2Bd%3D0%5C%5C-8a%2B4b-2c%2Bd%3D0%5C%5C-a%2Bb-c%2Bd%20%3D%2040%5C%5C)
Good luck