X^2 + 6x - 4y + 5 = 0
4y = x^2 + 6x + 5
y = 1/4x^2 + 3/2x + 5/4
Since, x is the squred part and x^2 has a positive coefficient, therefore, the graph opens up.
100 = 2x + 5y
44 = x + y
We can use elimination to solve this.
Multiply all terms in 2nd equation by 2.
88 = 2x + 2y
Subtract equation 2 from equation 1.
(100 = 2x + 5y) - (88 = 2x + 2y)
12 = 3y
Divide both sides by 3.
y = 4
<h3>The value of y is equal to 4, and so we can solve for the value of x.</h3>
44 = x + y
44 = x + 4
Subtract 4 from both sides.
40 = x
<h3>The value of x is equal to 40.</h3>
We can plug in the values to make sure our answer is correct.
100 = 2(40) + 5(4)
100 = 80 + 20
100 = 100 √ this is correct
44 = x + y
44 = 40 + 4
44 = 44 √ this is correct
<h3>And so, there are 40 two point questions, and 4 five point questions.</h3>
The average rate of change would be the change in y/the change in x. You must enter the x values into the function to get the corresponding y values. We’ll call x=0 x1, and we’ll call x=8 x2. y1 will be the y value corresponding to x1, and y2 will be the y value corresponding to x2. Finding the change in y would be y2–y1, and the change in x would be x2–x1.