The square root of 72 is rational because the answer can be a real number.
Answer:
(1,6) & (7,0)
Step-by-step explanation:
y = -x + 7
y = -0.5(x - 3)² + 8
To solve the system, solve these two equations simultaneously
-x + 7 = -0.5(x - 3)² + 8
-x + 7 = -0.5(x² - 6x + 9) + 8
-x + 7 = -0.5x² + 3x - 4.5 + 8
0.5x² - 4x + 3.5 = 0
x² - 8x + 7 = 0
x² - 7x - x + 7 = 0
x(x - 7) - (x - 7) = 0
(x - 1)(x - 7) = 0
x = 1, 7
y = -1 + 7 = 6
y = -7 + 7 = 0
(1,6) (7,0)
Since the system has two distinct solutions, the line and the curve meet at two distinct poibts9: (1,6) & (7,0)
Answer:
f(-4) = 56
Step-by-step explanation:
f(x) = 3x² - 2x
To find f(-4), substitute -4 for all the values of x in f(x).
f(-4) = 3(-4)² - 2(-4)
Square -4.
f(-4) = 3(16) - 2(-4)
Multiply 3 and 16.
f(-4) = 48 - 2(-4)
Multiply -2 and -4.
48 + 8
Add.
56
You had the right idea! :)
The answer is 1/2. I think that since the question is about Box B , only boxes will be taken into consideration. Since the total number of boxes are two and box b is one ,the probability of the box being B is 1/2.