Which expression is equivalent to 6 + 12x?

Mathematics

2 answers:

AysviL [449]3 years ago

6 0

Answer:

thats hard

Step-by-step explanation:

that big big hard

r-ruslan [8.4K]3 years ago

3 0

3(2 + 4x) is equivalent to 6 + 12x

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The binomial 5x – 4 is a factor of 10x2 – 23x + 12. What is the other factor?

SVETLANKA909090 [29]

$Method\ 1^o\\10x^2-23x+12=(5x-4)(ax+b)\\\\10x^2-23x+12=5ax^2+5bx-4ax-4b\\\\10x^2-23x+12=5ax^2+(5b-4a)x-4b\\\\therefore\\\\ \begin{array}{ccc}(1)\\(2)\\(3)\end{array}\left\{\begin{array}{ccc}5a=10\\5b-4a=-23\\-4b=12\end{array}\right\\\\(1)\ divide\ both\ sides\ by\ 5\to a=2\\(3)\ divide\ both\ sides\ by\ (-4)\to b=-3\\check\\subtitute\ the\ values\ of\ "a"\ and\ "b"\ to\ (2):\\5\cdot(-3)-4\cdot2=-15-8=-23\ /correct/\\\\Answer:\boxed{2x-3}$

$Method\ 2^o\\10x^2-23x+12=10x^2-8x-15x+12\\=2x\cdot5x-2x\cdot4-3\cdot5x-3\cdot(-4)\\=2x(5x-4)-3(5x-4)=(5x-4)\boxed{(2x-3)}$

6 0

2 years ago

Lionfish are considered an invasive species, with an annual growth rate of 67%. A scientist estimates there are 8,000 lionfish i

natita [175]

Answer:

There would be 173,535 lionfish after 6 years.

Step-by-step explanation:

Since lionfish are considered an invasive species, with an annual growth rate of 67%, ya scientist estimates there are 8,000 lionfish in a certain bay after the first year, A) to write the explicit equation for f (n) that represents the number of lionfish in the bay after n years; B) determine how many lionfish will be in the bay after 6 years; and C) if scientists remove 1,200 fish per year from the bay after the first year, determine what is the recursive equation for f (n); the following calculations must be performed:

A)

8000 x 1.67 ^ n = f

B)

8000 x 1.67 ^ 6 = X

8000 x 21.691961596369 = X

173,535.692770952 = X

C)

(8000 - 1200 x 1 ^ n) x 1.67 ^ n = f

Therefore, there would be 173,535 lionfish after 6 years.

5 0

2 years ago

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