Answer: -2, 2
Step-by-step explanation:
0 = 5x^2 -20
0 = 5(x^2 -4)
0 = 5(x - 2)(x + 2)
0 = x - 2
2 = x
0 = x + 2
-2 = x
<h3>6 is a solution to equation 6x + 5 = 12 + 5x</h3>
<em><u>Solution:</u></em>
<em><u>Given equation is:</u></em>
6x + 5 = 12 + 5x
Try the numbers 4, 5, 6, 7 in the equation to test whether any of them is a solution
<em><u>Substitute x = 4</u></em>
6(4) + 5 = 12 + 5(4)
24 +5 = 12 + 20

Thus 4 is not a solution
<em><u>Substitute x = 5</u></em>
6(5) + 5 = 12 + 5(5)
30 + 5 = 12 + 25

Thus 5 is not a solution
<em><u>Substitute x = 6</u></em>
6(6) + 5 = 12 + 5(6)
36 + 5 = 12 + 30

Thus 6 is not a solution
<em><u>Substitute x = 7</u></em>
6(7) + 5 = 12 + 5(7)
42 + 5 = 12 + 35
47 = 47
Thus 6 is a solution
Answer:
-3/4
Step-by-step explanation:
the rate of change is the slope of the line
7-3/0-(-4) = -3/4
Answer:
T-intercept = 67
Step-by-step explanation:
Given
T = 44m + 67
Required
Calculate and interpret the t-intercept
To calculate the t-intercept, we simply set the number of minutes (m) to 0
i.e. substitute 0 for m in T = 44m + 67
T = 44 * 0 + 67
T = 0 + 67
T = 67
Hence, the T-intercept is 67
The interpretation is that the initial temperature when the oven is turned on is 67 degrees