It can only be simplified unless n is defined.
7n + 4n + 5 = 11n + 5
Answer:
0=0
infinitely many solutions
Step-by-step explanation:
plug x=2y+3 as x into 3x-6y=9...so
3(2y+3)-6y=9, which has our x=2y+3 plugged in because that is what x equals
if you solve its
6y+9-6y=9
0y=0
y=0
making it 0=0
you can't go further from this
Answer:
1.65 x 10^-9
Step-by-step explanation:
0.00000000165 = 1.65 x 10^-9 <----scientific form
Answer:

Step-by-step explanation:
Given

Required
Write as exponential function
An exponential function is represented as:


Apply law of indices


<em>The above represents the exponential function</em>
Answer:
-4
Step-by-step explanation:
x³ + cx + 4 divided by x + 2 has a remainder of 4, so:
(x³ + cx + 4) / (x + 2) = ax² + bx + d + 4 / (x + 2)
Multiply both sides by x + 2:
x³ + cx + 4 = (ax² + bx + d) (x + 2) + 4
Distribute:
x³ + cx + 4 = ax²(x + 2) + bx(x + 2) + d(x + 2) + 4
x³ + cx + 4 = ax³ + 2ax² + bx² + 2bx + dx + 2d + 4
x³ + cx + 4 = ax³ + (2a + b)x² + (2b + d)x + 2d + 4
Match the coefficients.
a = 1
2a + b = 0
2b + d = c
2d + 4 = 4
Solving, a = 1, b = -2, and d = 0. So c = -4.
We can also solve this using long division (see picture).