Answer:
Identity Property of Zero
The identity property of 0 states that if you add or subtract 0 from any number, the number will always stay the same. Here are some examples involving whole numbers: 3+0=3 7−0=7 Therefore, x+0=0+x=x. This is also known as the additive identity property of 0.
Step-by-step explanation:
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Answer:
25. Yes, it is a function, because none of the x outputs are repeating
Answer:
Please find attached the required graph of the equation, y = x² - 2·x - 8, created using MS Excel
Step-by-step explanation:
The given function required to be plot is y = x² - 2·x - 8
Therefore, the coordinates of the vertex of the parabola formed by the equation (h, k) is given as follows;
h = -(-2)/(2×1) = 1
k = 1² - 2×1 - 8 = -9
The coordinates of the vertex = (1, -9)
The roots of the equation is given when y = 0, as follows;
At the roots, we have;
x² - 2·x - 8 = 0
By factorizing, we get
x² - 2·x - 8 = (x - 4)·(x + 2) = 0
Therefore. the roots of the equation are;
x = 4, and x = -2
The coordinates of the roots are;
(4, 0), and (-2, 0)
Two other points can be found at when x = 3 and when x = 0 as follows;
When x = 3, we have;
y = 3² - 2×3 - 8 = -5
(3, -5)
When x = 0, we have;
y = 0² - 2×0 - 8 = -8
(0, -8)
The five points are;
(1, -9), (4, 0), (-2, 0), (3, -5), (0, -8)
The graph of the equation created using MS Excel showing the five points is attached.
Answer:
1- The student spent 48 minutes and 45 seconds playing basketball.
2- The student spent 33 minutes and 45 seconds playing soccer.
Step-by-step explanation:
1- If during a week the student exercised for 3 hours at school, and for 1/4 hour at home, it could be said that the student exercised for a total of 195 minutes (60 x 3 + 60/4) . Now, if I exercise 1/4 of that time playing basketball, the student spent 48 minutes and 45 seconds playing that sport (195/4).
2- If during a week the student exercised for 2 hours at school, and for 1/4 hour at home, it could be said that the student exercised for a total of 135 minutes (60 x 2 + 60/4) . Now, if I exercise 1/4 of that time playing basketball, the student spent 33 minutes and 45 seconds playing soccer (135/4).