What is the simplified expression for the expression below?

Mathematics

2 answers:

victus00 [196]3 years ago

6 0

Answer:

Step-by-step explanation:

$-1(2x+3)-2(x-1)\qquad\text{use the distributive property}\\\\=(-1)(2x)+(-1)(3)+(-2)(x)+(-2)(-1)\\\\=-2x-3-2x+2\qquad\text{combine like terms}\\\\=(-2x-2x)+(-3+2)\\\\=-4x-1$

melomori [17]3 years ago

5 0

Answer:

-4x-1

Step-by-step explanation:

-1(2x+3)-2(x-1)

-2x-3-2x+2

-2x-2x-3+2

-4x-3+2

-4x-1

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A biologist is studying the elk population in a county park. She starts with only 2 elk and observes that the number of elk trip

DochEvi [55]

Answer:

The expression that represents the population of elk is: $\text{elk}(t) = 2*3^t$ . It'll take 6 years for the population to reach 1,458 individuals.

Step-by-step explanation:

Since the number of elks triples every year and starts at $\text{elk}(0) = 2$ , then after the first year the population will be:

$\text{elk}(1) = \text{elk}(0)*3 = 2*3$

While on the second year, it'll be:

$\text{elk}(2) = \text{elk}(1)*3 = 2*3*3 = 2*3^2$

On the third year:

$\text{elk}(3) = \text{elk}(2)*3 = 2*3^2*3 = 2*3^3$

And so on, therefore the expression that describes the population of elk as the years passes is:

$\text{elk}(t) = 2*3^t$

If we want to know the number of years until the population reach 1,458 elk, we need to apply this value to the left side of the equation and solve for t.

$1458 = 2*3^t\\3^t = \frac{1458}{2}\\3^t = 729\\ln(3^t) = ln(729)\\t*ln(3) = ln(729)\\t = \frac{ln(729)}{ln(3)} = 6$