Answer:
Step-by-step explanation:
If you plot these points on a coordinate plane, you see that they are on the same horizontal line, y = 7, with the focus 1 unit to the right of the vertex. This means that the parabola is a sideways opening parabola, to the right, to be more specific. That means that it has the basic vertex form
where p is the distance in units from the vertex to the focus, h is the first coordinate in the vertex, and k is the second coordinate in the vertex. For us, p = 1, h = 6, and k = 7. Now we will just fill the vertex form of the equation in with our values:
We will solve this for x now by dividing each side by 4 and adding over the 6:
Answer:
, graph is there for reference.
Step-by-step explanation:
Given,
is the number of math problem Lucy solved.
is the number of pages she read.
She can do each math problem in 
minutes, therefore she can solve number of questions into 
minutes.
She can read each page in 
minutes, therefore she can read pages in 2.5y minutes.
As per given detail,
equation 1.
And,
It is given that number of math problems Lucy solved is 3 times the number of pages she read.
equation 2.
We need to find and intercept of each of the equation to graph them.
For 
put y=0
We will get 
Thus the point is 
Let us find 
by assuming 
we get 
Thus the point is 
Join these two points.
Similarly considering the other equation
Here x-intercept would be at 
We will get
Thus the point is 
Let us assume on more point, say 
, we get 
Thus the point is 
Join these two points.
We will get a point of intersection at 
Thus 
and 
4x + 6y = 8z +34
4x+6y - 8z = 34
Answer:
56 days
Step-by-step explanation:
There are 16 cups in a gallon, and 7 gallons would be 112 cups since 16 * 7 = 112. If you divide 112 by 2 (2 cups of bird seed each day) then you would get 56 days.
Answer:
y=x+4
Step-by-step explanation:
y-4=x
y=x+4
