The basic structure of a linear function is y=mx+b (or +c, depending on your schools curriculum)
We need to find the slope (m), and the y-intercept (b/c)
To find the slope you can pick two random points, say (2,2) and (0,1)
The formula for the slope is this: m= y1-y2 / x1-x2
So if we substitute the points in, we get 2-1 / 2-0 = 1/2
Knowing the slope, it can be substituted into to the equation: y=1/2x + b
Then, if you notice the second point- (0,1), it’s the y-intercept. The y coordinate there is 1.
To check if this is correct, a random coordinate set can be picked and substituted in to find b.
y= 1/2x + b
2 = 1/2 *2 + b
2 = 1 + b
2-1=b
1=b
Therefore, the final linear function is y = 1/2 x + 1
Step 2 was done incorrectly because they did not. flip the positive sign to a negative
Answer:
i think its c hope it helps
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
I counted by recording all the numbers nd steps
The value of x that is the length from the edge of the screen to the end of the wall is equal 3. This is derived from an equation which serves as a function of the Area. See the solution below.
<h3>
What is the calculation for the solution above?</h3>
Recall that the area of the entire wall is 40m².
(10-2x) (16- 2x) = 40
Expanding the brackets, we have
160-20x-32x + 4x² = 40
4x² - 52x + 120 = 0
x² - 13x +30 = 0
Using the quadratic equation
x = (-b±√b²-4ac)/2a
Where a = 1
b = 13
c = 30
x = (13 ± 7)/2
Thus x = 10; or x = 3.
x cannot be the answer because it invalidates 16-x<0;
Hence, the correct answer is x = 3
Learn more about Areas at:
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