Answer:
x^2-4x+3
Step-by-step explanation:
Since the zeroes of the quadratic are 1 and 3, we can set up an equation in factored form:
(x-1)(x-3)
=x^2-4x+3
We can further check that this is the right answer by evaluating it at the vertex:
(2)^2-4*2+3=-1
Since that corresponds to the graph, the answer is x^2-4x+3
Answer:
length and width=4
height=8
Step-by-step explanation:
Hello to solve this problem we must propose a system of equations of 3x3, that is to say 3 variables and 3 equations.
Ecuation 1
Leght=Width
.L=W
Ecuation 2
To raise the second equation we consider that the length and width of 4 inches less than the height of the box
H-4=W
Ecuation 3
To establish equation number 3, we find the volume of a prism that is the result of multiplying length, width, and height
LxWxH=128
From ecuation 1(w=h)

solving for H

<em />
<em>Using ecuation 2</em>
H-4=W

Now we find the roots of the equation, 2 of them are imaginary, and only one results in 4
W=4in
L=4in
to find the height we use the ecuation 2
H-4=W
H=4+W
H=4+4=8
H=8IN
Answer:
x = 34
Step-by-step explanation:
4x - 10 + x + 20 = 180
5x + 10 = 180
5x = 170
x = 34
Answer:
First option: The slope is negative for both functions.
Fourth option: The graph and the equation expressed are equivalent functions.
Step-by-step explanation:
<h3>
The missing graph is attached.</h3><h3>
</h3>
The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.
Given the equation:

We can identify that:

Notice that the slope is negative.
We can observe in the graph that y-intercept of the other linear function is:

Then, we can substitute this y-intercept and the coordinates of a point on that line, into
and solve for "m".
Choosing the point
, we get:

Notice that the slope is negative.
Therefore, since the lines have the same slope and the same y-intercept, we can conclude that they are equivalent.