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
Answer:
<em>x=-11</em>
Step-by-step explanation:
<em>17+x/6=0</em>
<em>17+x=6</em>
<em>x=-11</em>
Answer:
B
Step-by-step explanation:
Remark
The easiest way to do this is to Substitute for y in the top equation.
2x + 4y = 18 Divide by 2
2x/2 + 4y/2 = 18/2
x + 2y = 9
Substitute -3x + 2 in for y in the equation above
x + 2(-3x + 2) = 9
x - 6x + 4 = 9
Combine like terms on the left
-5x + 4 = 9
Subtract 4 from both sides.
-5x + 4-4 = 9- 4
-5x = 5
Divide by -5
-5x/-5 = 5/-5
x = - 1
That makes A and C incorrect.
y = -3x + 2
y = -3(-1) + 2
y = 3 + 2
y = 5
The correct answer should be (-1,5) which is B
Answer:
It represents a linear function and there will be 216 ants after 1 year
Answer:
Step-by-step explanation:
√a^4 is the same as:
√a × √a × √a × √a
group them as 2 pairs of
(√a × √a) × (√a × √a)
which makes
a × a
which is the same as
