4a2 + 4a + 1 = (2a +1)^2 = <span>(2a + 1)(2a + 1)
</span>4 − 4a + a2 = (2 - a)^2 = <span>(2 − a)(2 − a)
</span>4a2 − 4a + 1 = (2a -1)^2 = <span>(2a − 1)(2a − 1)
</span><span>4 + 4a + a2</span> = (2 + a)^2 = (2 + a)(2 + a)
Answer:
7 integers
Step-by-step explanation:
The inequality to solve is 
We can do algebra and solve this:

If we solve
, we will get the intercepts. So:

<em>Since, the inequality is less than, the solution set is all numbers between -4 and 4. So</em>
<em>-4 < n < 4</em>
<em />
<em>*note: -4 and 4 is NOT included, so the integers in the range are:</em>
<em>-3, -2, -1, 0, 1 , 2, 3</em>
<em>Which is </em><em>7 integers.</em>
The order pair that lies on the graph of h(x) = -2(x^2) is
(1, -2). By substituting the given ordered pair only (1, -2) will satisfy the
equation.
h(x) = -2(x^2)
-2 = -2(1^2)
-2= -2(1)
-2= -2
So the ordered pair lies on the graph is (1, -2)
Answer:
$1.46
Step-by-step explanation:
To find the original price of the game, write a proportion. $1.54 is the amount after a 5.5% tax rate. This means he paid 105.5% on the original price.

Find y by cross multiplying numerator and denominator of each fraction.
1.54(100) = 105.5y
154 = 105.5y
1.46 = y
Answer:
See below.
Step-by-step explanation:
Fifth root of 243 = 3,
Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),
then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).
Equating equal parts and using de Moivre's theorem:
r^5 =243 and cos 5Ф + i sin 5Ф = cos 240 + i sin 240
r = 3 and 5Ф = 240 +360p so Ф = 48 + 72p
So Ф = 48, 120, 192, 264, 336 for 48 ≤ Ф < 360
So there are 5 distinct solutions given by:
3(cos 48 + i sin 48),
3(cos 120 + i sin 120),
3(cos 192 + i sin 192),
3(cos 264 + i sin 264),
3(cos 336 + i sin 336).. (Answer).