Answer:
the roots are n = 1 + √15 and n = 1 - √15
Step-by-step explanation:
In this case I would immediately rewrite n² - 2n - 5 = 10 as
n² - 2n = 10 + 5 = 15.
To complete the square: Identify the coefficient of n (it is -2). Halve that, obtaining -1, square this result, and then add the outcome (1) to and subtract the outcome (1) to n² - 2n:
n² - 2n <em>+ 1 - 1 </em> = 15
Next, rewrite n² - 2n + 1 as the square of a binomial:
(n - 1)² = 15
Finally, take the square root of both sides:
n - 1 = ±√15
so that the roots are n = 1 + √15 and n = 1 - √15
Step-by-step explanation:
3 pairs of flip flops = 14.95 x 3 = 44.85
Total amount spent = 44.85 + 21.50 + 9.99 + 15. 44 = 91.78
After adding tax = 91.78 + 7.34 = 99.12
Mrs B spent 99.12 altogether
Budget = 100
Then money left = 100 - 99.12 = 0.88
Answer:
x = -3
Step-by-step explanation:
16x − 4 + 5x = -67
Combine like terms
21x -4 = -67
Add 4 to each side
21x-4+4 = -67+4
21x = -63
Divide each side by 21
21x/21 = -63/21
x = -3
Answer:
Option 4
Step-by-step explanation:
The volume of a cylinder is going to be the area of the base (which is a circle) times the height. if you have cylindrical mug, then you can use the base area×height relationship, but it won't be exact because some of the volume is going to be used for the walls of the mug itself.
Anyways:
Volume = Base Area × Height
•Base Area -> Circle = π×radius²
•Height is given as 7in.
Volume = π×(6.2in)² × 7in = 845.33975...
Volume is in units cubed (the 3rd power) which is where the in³ is from. Your closest option here looks to be the 4th choice.
