Answer:
51
Step-by-step explanation:
Substitute the value of a
3(2)³+10(2)²-3(2)-7
3(8)+10(4)-3(2)-7
24+40-6-7
64-13
51
For this case we have the following system of equations:
We substitute the first equation in the second equation:
Now, we look for the value of the variable "x":
Thus, the solution of the system is given by:
Answer:
This is about interpretation of graphs.
Option C is correct.
From the graph, we can see the 2 lines representing function f(x) and function g(x).
Now for us to find the value of x in g(x) = k⋅f(x), we need get a mutual x-coordinate where we can easily read their respective y-coordinate values.
We see that the best point for that is where x = -3.
For f(x), when x = -3, y = 1
For g(x), when x = -3, y = -3
we can rewrite them as;
x = -3, f(-3) = 1 and x = -3, g(-3) = -3
Let us plug in the relevant values into g(x) = k⋅f(x) to get;
-3 = k(1)
Thus; k = -1/3
The Answer is AOX
Hope this helps!
The perpendicular line through (-1, -3) can be written as
7(x+1) -5(y+3) = 0
The intersection of this line with the original is
(x, y) =
(51/74, -47/74)_____
In standard form, the two lines can be written as
5x +7y = -1
7x -5y = 8
By Cramer's rule,
x = (7·8 - (-1)(-5))/(7·7 -(-5)·5) = 51/74
y = (-1·7 -8·5)/74 = -47/74