Answer:
Vertex form: 
Standard form: 
Step-by-step explanation:
A quadratic function in vertex form is 
where 
is the vertex.
We are given 
.
Let's plug that in:
.
Now let's find 
.
We will use the 
-intercept 
to find .
So the function in vertex form is:
.
In standard form, we will have to multiply and combine any like terms.
Let's do that:
Hope this helps you out :D
It’s 2 equations so in order to solve the previous system, you can use different methods, as for example substitution or addition of equations. In this case, you use the second one, due to the fact you have 7x in one equation and -7x in the other equation. In this way you can easily eliminate variable x and then solve for y. With the value of y you can replace in any of the two equations and solve for x.
7x-y=-1
-7x+3y=-25
Summarizing, you proceed as follow:
- add up the given equations
7x - y = -1
-7x+3y=-25
——————
0 +2y=-26
- solve for y in the previous equation
2y=-26
y=-26/2
y=-13
- replace the obtained value of y in one of the given equations, and solve for x
7x-(-13)=-1
7x+13=-1
7x=-1-13
7x=-14
x=-14
x=-14/7
x=-2
Hence, the solution of the given systems of equation is:
X=-2
Y=-13
Answer: x = 9
Explanation:
Answer:
yes all fl oz will fit in the bottle
Step-by-step explanation:
1 cup = 8 fl oz
4 cups = 32 fl oz
you have still space 8 fl oz
Answer:
The graph in the attached figure N 2
Step-by-step explanation:
The complete question in the attached figure N 1
we have the ordered pairs
(-4,9),(-1,3),(0,1),(2,-3)
Using a graphing tool
Plot the given ordered pairs in the coordinate plane
Remember that
In a ordered pair (x,y), the first coordinate is the location of the point in the x-axis and the second coordinate is the location of the point in the y-axis
see the attached figure
The graph represent a line
<em>Find the equation of the line</em>
<em>Find the slope</em>
take two points
The equation of the line in slope intercept form is equal to
we have
substitute
