ANSWER
1a)
The given system of equation is:
and
We make x the subject in equation (2) to get;
We put equation (3) into equation (1) to get;
We expand the bracket to get,
This implies that,
This statement is false.
Hence the system has no solution.
1b)
Let us write the two systems in the slope-intercept form;
For the first equation, we have
Thus implies that,
For the second equation, we have:
We can see that, the two equations are parallel since they have the same slope.
Also the two equations will never meet since they have different y-intercepts.
Hence the system has no solution.
Answer:
x=4.5,y=5,z=9
Step-by-step explanation:
First, we use the pythagorean theorem in the lower right triangle (with sides 4,x,6) and find x^2+4^2=6^2 and therefore x^2=6^2-4^2=20 so x=√20 which is approximately 4.5.
Also, we can see from the picture that z=y+4, and therefore the only option left is x=4.5,y=5,z=9.
Y would equal 15 If x was one
The equation for the red graph is f(x)=-x^2.
The question is an incomplete graph of a function is missing
For a complete question refer to the graph attached below
we have
The vertex of the function g(x) is the point (0,4)
The vertex of the function f(x) is the point (0,0)
<h3>What is the vertex?</h3>
This is typically a local maximum or minimum of curvature, and some authors define a vertex to be more specifically a local extremum of curvature.
So, the rule of the translation of g(x) to f(x) is
(x,y)------> (x,y-4)
The translation is 4 units down
The equation of the function f(x) is
Therefore, The answer is f(x)=-x^2
To learn more about the graph visit:
brainly.com/question/4025726
#SPJ1
Polynomial of degree 2 are those polynomials with highest power of two, from our choices, the polynomials of degree two are:
10x^2-x^(1/2)
6x^2-6x+5
The rest of the choices are polynomials of degree 3.