<span>mostly collect like terms
use associative property which is
(a+b)+c=a+(b+c)
also -a+b-c=(-a)+(b)+(-c) so you can move them around
and remember that:
you just use a general rule
x+x=2x
x^2+x^2=2x^2
3xy4xy=7xy
3x+4x^2=3x+4x^2
you
can only add like terms( like terms are terms that are same name like x
or y are differnt, and like terms have same power exg x^2 and x^3 and
x^1/2 and such
I will oly put the naswers because I don't have much time
first one: 2a+3b+2c
second one: remember that -(-6c)=+6c so the answer is c-10a-2b
third one: -a-8b-5c
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Step-by-step explanation:
log2x = 1 - log(x+4)
log2x = log10 - log(x+4)
log2x = log[10/(x+4)]
2x = 10/(x+4)
2x(x+4) = 10
2x² + 8x - 10 = 0
÷2 both sides of equation
x² + 4x - 5 = 0
(x+5)(x-1) = 0
x = -5, 1
x isn't be -5 because logA, A need to be > 0
So, x value is 1
2)
4x-10y=12
Subtract 4x from each side.
-10y=-4x+12
Divide both sides by -10
y=2/5x-6/5
3)
13=1/6y+2x
Subtract 2x from each side.
-2x+13=1/6y
Multiply both sides by 6.
-12x+78=y
Flip it around.
y=-12x+78
Hope this helps!
True. For example, if you pay $1 for every 5 apples the slope would either be 1/5 or 5/1 depending on if the number of apples represents x or y.
Answer:
341
Step-by-step explanation:
The number of people who know the art of quilting in each successive generation is
1, 4, 16, …
These numbers represent a geometric sequence where each term has the form
aₙ = a₁rⁿ⁻¹
In your sequence, a₁ = 1 and r = 4.
Then, the formula for your sequence is
aₙ = 4ⁿ⁻¹
Sum over five generations
The formula for the sum of the first n terms of a geometric series is
Sum = a₁[(1 - rⁿ)/(1 - r)]
Sum = 1[(1 - 4⁵)/(1 - 4)
= (1 - 1024)/(-3)
= -1023/-3
= 341
If the process continues for five generations, 341 people will know the art of quilting.
