To get the amount you need to subtract from 840, just turn 5% into a decimal, which is 0.05, then just multiply 0.05 by 840 and subtract that number from 840
Answer:
y = 2(x-3)^2 - 2
Step-by-step explanation:
y = 2x^2 - 12x + 16
y = 2(x^2 - 6x + 8)
y = 2(x^2 - 6x +8 +1 -1) you "complete the square" by bringing the last term (8) up to "half of the middle co-efficient squared". Middle co-efficient is -6, half is -3, squared is 9. To get from 8 to 9 you must add 1 (+1), but if you add 1 you must subtract 1 (-1) so that you don't change the overall value of inside the bracket
y = 2(x^2 - 6x +9) - 2 (bring the -1 outside of the brackets)
y = 2(x-3)^2 - 2
Answer:
-1.
Step-by-step explanation:
1/m = m^-1.
We can show this is correct if we simplify the following:
m^2 / m ^3 = m * m / m * m* m = 1/m
By the law of indices: m ^2 / m^3 = m^(2-3) = m^-1.
Answer:
<h2>b. (144 + 121)(144 - 121)</h2>
Step-by-step explanation:
Use a² - b² = (a + b)(a - b)
144² - 121² = (144 + 121)(144 - 121)
Step-by-step explanation:
Given
(2x - 7) ²
We can see it is in the form of (a - b) ² so.
= (2x)² - 2 * 2x * 7 + 7²
= 4x² - 28x + 49
