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2 years ago

Which binomial is a factor of w^2-w-20

Mathematics

1 answer:

Lubov Fominskaja [6]2 years ago

3 0

Answer:

From the given options, option D is the only choice that contains (w-5).

Step-by-step explanation:

Given the expression

$w^2-w-20$

Breaking the expression into groups

$=\left(w^2+4w\right)+\left(-5w-20\right)$

Factor out 'w' form w²+4w = w(w+4)

Factor out 'w' from -5w-20= -5(w+4)

$=w\left(w+4\right)-5\left(w+4\right)$

Factor out common term: w+4

$=\left(w+4\right)\left(w-5\right)$

Thus, the factors are: (w+4) and (w-5)

Therefore, from the given options, option D is the only choice that contains (w-5).

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When is it better to use a table in math

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Answer:

in certain questions

Step-by-step explanation:

only use a table in Math when it is necessary. for example, when you are trying to find the coefficient.

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3 years ago

Simplify 8a-5b-(6a-9b)

pychu [463]

Answer:

Step-by-step explanation:

$8a - 5b - (6a - 9b)$

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression.

$8a - 5b - 6a + 9b$

Collect like terms

$2a + 4b$

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$2(a + 2b)$

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3 years ago

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2 years ago

Kool-aide is made from flavored powder and water, with the ratio of powder to water 3:2 based on weight. If 120g of flavored pow

MAXImum [283]

The given ratio of powder to water is 3:2 based on weight for Kool-aide. It is also given that 120g of flavored powder is needed for a certain amount of Kool-aide.

Let us assume that the amount of water (by weight) required to maintain the given ratio of 3:2 be represented by the letter $x$ . Thus, from the given information we can conclude that:

$\frac{Powder Weight}{Water Weight}=\frac{3}{2}=\frac{120}{x}$

$\therefore \frac{3}{2}=\frac{120}{x}$

Cross-multiplying we get:

$3x=240$

$\therefore x=\frac{240}{3}=80$ grams.

Thus, the amount of water in grams in that Kool-aide is 80 grams.

5 0

3 years ago

Read 2 more answers

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.

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

The population will reach 1,458 elk in 6 years.

8 0

3 years ago