Helppp this is killing meee
2 answers:
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1:
notice that each part is divisible by 3
÷ 3 =
9n ÷ 3 = 3n
6 ÷ 3 = 2
so it becomes
3n can be rewritten as 2n+n
-you want to rewrite it into two numbers that multiply to the number that's alone (in this case 2)
which would get you
Now that it's rewritten, you can factor out n + 2 from the equation.
<u><em>the answer is </em></u>
3(n+2)(n+1)
And you can check that by multiplying (n+2)(n+1) which is and then each of those by 3, which is
or
, our origional equation
2:
So I rewrote this as (it's the same thing, just reordered using the commutative property)
now -11x can be rewritten as -4x-7x
(remember, the two numbers should multiply to equal 28, which is our constant.)
now we can factor out x from the first expression and -7 from the second
and lastly you factor out x-4,
<u><em>which would give you</em></u>
(x-4)(x-7)
Make sure to check your work and make sure it multiplies to
3:
The first thing I notice when looking at this problem is that both 9 and 4 are perfect squares. Not only that, but they are the squares of 2 and 3, which are products of -12
So if you rewrite 9 as and 4 as
, the equation becomes
now that is ugly so it can be turned into
and -12x can be rewritten as
so our equation now looks like
There's a rule that says
In our case, a=3x and b=2
<u><em>so the final answer is</em></u>
With no limiting factors to the growth of the plants, the number of months have passed since the plants were first introduced is 23.1.
<h3>What is an exponential function?</h3>Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.
A type of plant is introduced into an ecosystem and quickly begins to take over.
A scientist counts the number of plants after m months and develops the equation to model the situation, which is given as,
Most recently, the scientist counted 138 plants.
Taking log both sides of the equation,
Thus, with no limiting factors to the growth of the plants, the number of months have passed since the plants were first introduced is 23.1.
Learn more about the exponential function here;