Answer:
,
Step-by-step explanation:
The function of the graph can be written in the vertex form as
, where V(h,k)=V(2,4) is the vertex of the quadratic function.
We substitute the value to obtain;
,
The point (5,1) lies on the graph so we use it to determine the value of a.
,
,
,
The required equation is
,
Answer:
Angle kjm is 56 °
you equate 7x with 3x +16
ie
3x + 16 = 7x
Here is how we get the answer....
First, replace f(x) with y . ...
Replace every x with a y and replace every y with an x .
Solve the equation from Step 2 for y . ...
Replace y with f−1(x) f − 1 ( x ) . ...
Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.
Metallic ribbon: 16$ for 4ft
Dividing both sides by four, we get:
1 feet -- 4 dollars
White ribbon 3$ for 1 feet
1 feet -- 3 dollars
<h2><u><em>
Therefore, the Metallic ribbon costs more per feet.</em></u></h2>
<h3>
Answer: The fraction 2/5</h3>
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Explanation:
We have three points marked on this diagonal line. Each point has integer or whole number coordinates. I find it is easiest to start with the y intercept, which in this case, is the point (0,0). This is the origin.
From the origin, move 2 units up and 5 units to the right to arrive at the next neighboring point (5,2).
This shows that,
slope = rise/run = 2/5
The rise indicates how much we have gone up or down. The run is the amount you move to the right. If the rise is negative, then you have gone downhill. By "downhill", I mean when the graph is read from left to right.
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Optionally you can use the slope formula
m = (y2-y1)/(x2-x1)
with any two points you want from the graph.
