<span>The probability of getting heads with both coins being tossed is 1/4. The probability of getting a heads on one coin is 50% (or 1/2) since there is only two possible outcomes, heads or tails. When you factor in two coins, you have to multiply the probabilities together, 1/2 x 1/2, which is how you get the answer of 1/4 or 25%. Another way to reinforce this is that there are 4 possible outcomes to the flips. You could get a heads-heads, tails-heads, heads-tails, or tails-tails. Getting the heads-heads result is 1 out of 4 or 1/4 (25%).</span>
Answer:
The solutions are -3 and -1
Step-by-step explanation:
∵ y = -x² - 2x + 8
∵ y = 2x + 11
∴ -x² - 2x + 8 = 2x + 11
∴ -x² - 2x - 2x + 8 - 11 = 0
∴ -x² - 4x - 3 = 0 ⇒ divide both sides by -1
∴ x² + 4x + 3 = 0
∴ (x + 3)(x + 1) = 0
∴ x + 3 = 0 ⇒ x = -3
∴ x + 1 = 0 ⇒ x = -1
∴ The solutions are -3 and -1
Step-by-step explanation:
h(x) = (x-11)(x+3)
= x^2 + 3 - 11x - 33
= x^2 - 11x -30
