Since there are only two sides (heads & tails) to a coin:
Probability (as fraction) - 1/2
Probability (as percent) - 1/2 x 100 = 50%
Probability (as decimal) - 1 x 50/2 x 50 = 50/100 = 0.5
(P.S. Please mark this answer as the brainliest answer... Thank You)
Answer:
(x + 1)² = 7
Step-by-step explanation:
Given:
-2x = x² - 6
We'll start by rearranging it to solve for zero:
x² + 2x - 6 = 0
The first term is already a perfect square so that's fine. Normally, if that term had a non-square coefficient, you would need to multiply all terms a value that would change that constant to a perfect square.
Because it's already square (1), we can simply move to the next step, separating the -6 into a value that can be doubled to give us the 2, the coefficient of the second term. That value will of course be 1, giving us:
x² + 2x + 1 - 1 - 6 = 0
Now can group our perfect square on the left and our constants on the right:
x² + 2x + 1 - 7= 0
x² + 2x + 1 = 7
(x + 1)² = 7
To check our answer, we can solve for x:
x + 1 = ± √7
x = -1 ± √7
x ≈ 1.65, -3.65
Let's try one of those in the original equation:
-2x = x² - 6
-2(1.65) = 1.65² - 6
- 3.3 = 2.72 - 6
-3.3 = -3.28
Good. Given our rounding that difference of 2/100 is acceptable, so the answer is correct.
The domain is the set of allowed inputs, in this case t values. The smallest t value allowed is t = 0. The largest is t = 165. So that's why the domain is
-------------------------------
The range is
since H = 0 is the smallest output of the function and H = 40,000 is the largest output. Like the domain, the range is the set of possible outputs of a function.
The answer is the second choice.
P (pounds) = 5D (Dollars)
Hope this might help!
:D
Answer:
To find the x-intercept, substitute in 0 for y and solve for x
. To find the y-intercept, substitute in 0 for x and solve for y
.
x-intercept: (−
45
,
0
)
y-intercept: (
0
,
−
15
)
