What is the equation of this graphed line?
2 answers:
Answer:
Step-by-step explanation:
Slope intercept form is
y=mx+b
(m) is slope
(b) is y intercept
The y intercept is where ethe line crosses the y axis [vertical axis]
The line crosses at (0, 7)so our b=7, now we need slope.
The formula for slope is (y₂-y₁)/(x₂-x₁),
which is the y of the second given point minus the y of the first given point divided by the x of the second given point over the x of the 1st given point.
(-2-7)/(8-0)
-9/8 is our slope
put our (m) and (b) into the formula
y=-9/8x+7
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
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Answer:
f(x) = 1.5x - 0.5x
Step-by-step explanation:
The function of the pattern represented by the pentagonal numbers is the sum of three triangular numbers.
The triangular number general formula
x (x + 1) / 2
For example,
The sequence
1, 3, 6, 10
*
* * *
* * * * * *
* , * *, * * *, * * * *
_____________________________
The pentagonal numbers
The sequence:
1, 5, 12, 22, 35
As shown in the picture can be divided into three triangles
Triangle 2
x (x + 1) / 2
Triangle 1 and 3 (they are triangles one unit smaller than 2)
n (n + 1) / 2
n= x-1
Replacing n
(x-1) ((x-1) + 1) / 2
(x-1) (x) / 2
(x-1) x / 2
______________
Function represents the pattern
Triangle 2 + (Triangle 1 + Triangle 3)
Triangle 1 = Triangle 3
So then,
Triangle 2 + 2* Triangle 1
x (x +1) /2 + 2* (x -1) x/2
Rearranging
0.5 x (x +1) + x(x -1)
0.5x^2 + 0.5x + x^2 -x
(0.5 x^2 + x^2) + (0.5x -x )
1.5 x^2 - 0.5 x
______
Answer:
75
Step-by-step explanation:
Just make the number of regular gasoline sold to be x, while the number of premium gasoline sold to be (550-x).
That's all.
And goodluck.
