Answer:
The puck changes direction at
✔ (25, 0)
The puck goes into the opponent’s score zone located at
✔ (50, 20)
because the graph is
✔ symmetric
Step-by-step explanation:
i got it right
Answer:
A polynomial function that meet the conditions is x³ - 8x² + 5x + 14 = 0
Step-by-step explanation:
Hi there!
Let´s start writting a generic factored function. In this case, the function has 3 zeros so that the factored form will have 3 terms:
(x + a)(x + b)(x + c) = 0
For this expression to be 0, either (x+a) = 0 or (x+b) = 0 or (x+c) = 0
Then:
x + a = 0 ⇒ x = -a
x + b = 0 ⇒ x = -b
x + c = 0 ⇒ x = -c
Then, the values "a", "b" and "c" are equal to the zeros of the function but with opposite sign. Then, in our case:
a = 1
b = -2
c = -7
Then, the polynomial fuction will be:
(x + 1)(x - 2)(x - 7) = 0
Apply distributive property:
(x² - 2x + x -2)(x -7) = 0
(x² - x - 2)(x - 7)
x³ - x² - 2x - 7x² + 7x + 14 = 0
x³ - 8x² + 5x + 14 = 0
Then, a polynomial function that meets the conditions is:
x³ - 8x² + 5x + 14 = 0
Have a nice day!
Answer:
1/54
Step-by-step explanation:
I believe you would take the chance of just getting the brother(1/6) and times that by the chance of getting the sister(1/9) which would be 1/54.
Answer:
Step-by-step explanation:
<1 = <5 Corresponding angles.
<5 + <6 = 180° Angles making up the same straight line are supplementary.
<1 + <6 = 180° <1 and <5 are equal.
<6 = 180° - <1 If we know <1 we can easily find six. It is <1s supplement.
Answer:
x = - 
, x = 
Step-by-step explanation:
Given
x² - x - 
= 0 ( add to both sides )
x² - x =
Solve using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2( - )x + 
= +
(x - )² = 1 ( take the square root of both sides )
x - = ± 1 ( add to both sides )
x = ± 1
Thus
x = - 1 = -
x = + 1 =
