Answer:
x = - 4, x = 6
Step-by-step explanation:
Given
f(x) = x² - 2x + 3 and f(x) = 27, then equating the 2 gives
x² - 2x + 3 = 27 ( subtract 27 from both sides )
x² - 2x - 24 = 0 ← in standard form
Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 2)
The factors are - 6 and + 4, since
- 6 × 4 = - 24 and - 6 + 4 = - 2, thus
(x - 6)(x + 4) = 0
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 4 = 0 ⇒ x = - 4
Answer:
l
Step-by-step explanation:
Answer:
Cost per ounce = $0.07 (7 cents per ounce)
Step-by-step explanation:
Each container is 7.8 ounces and there are 24 of them in a case.
<u>Total weight</u> in ounce of the case is:
7.8 * 24 = 187.2 ounces
It costs $12.99 for the case, which contains 187.2 ounces. We find the cost per ounce of yogurt by dividing the total cost by total ounces in the case.
12.99/187.2 = 0.0693
Rounded to nearest cent (2 decimal places), that would be:
Cost per ounce = $0.07 (7 cents per ounce)
Answer:
Step-by-step explanation:
If all were dimes, the total would be $1.30. It is $0.75 more than that.
Each quarter that replaces a dime adds $0.15 to the total, so there must be ...
$0.75/$0.15 = 5
quarters.
Kevin has 8 dimes and 5 quarters in change.
_____
<em>Check</em>
8 × 0.10 + 5 × 0.25 = 0.80 + 1.25 = 2.05 . . . . answer checks OK
