Answer:
x = 5, -3
Step-by-step explanation:
2x² - 4x - 5 = 25
add 5 to each side
2x² - 4x = 30
factor out the 2
2(x² - 2x) = 30
divide both sides by 2
x² - 2x = 15
divide b by 2, square it -- (b/2)², and add it to both sides
-2/2 = -1 → -1² = 1
x² - 2x + 1 = 15 + 1
factor the expression on the left -- this will be [x - (b/2)]²
(x - 1)² = 16
find the square root of both sides
x - 1 = ±4
add 1 to both sides
x = 4 + 1
x = -4 + 1
solve
x = 5, -3
it is 1/2 because it is greater
Answer:
The domain of the function is [-9,7] and the range of the function is [-6,4]
Answer: 24
Step-by-step explanation:
From the question, we are informed that Micah is buying items for a party and that there are 6 cups in a package and 8 plates in a package.
We are further told that he wants to have the same amount of each item. The least number of packages of cups he needs to buy would be calculated by finding the least common multiple of 6 and 8.
Multiples of 6 = 6, 12 18, 24, 30
Multiples of 8 = 8, 16, 24, 32, 40
The answer is 24 cups
Answer:
6 and 30
Step-by-step explanation:
n + 24
(n + 24) ÷ n = 5
n + 24 = 5n
24 = 4n
6 = n
Check
30 – 6 = 24
30 ÷ 6 = 5
