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3 years ago

When the expression x2-3x-18 is factored completely,which is one of its factors?

Mathematics

1 answer:

lesya692 [45]3 years ago

4 0

Answer:

(x+3) and (x-6) are factors

Step-by-step explanation:

The given expression is :

x²-3x-18

We need to find the factors of the above expression.

We can solve it using middle term splitting. We find two integers such that there product is -18 and sum is -3. These two numbers can be -6 and 3.

x²-3x-18 = x²-6x+3x-18

= x(x-6)+3(x-6) [taking common terms]

= (x+3) (x-6)

Hence, the factors of the above expression is (x+3) and (x-6).

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Maggie is displaying paperback and hardback books on her book shelf. The ratio of hardback books to total books is 5 to 13. Whic

lubasha [3.4K]

Answer:

Total Paperback books = 8x , where x is any positive number

Step-by-step explanation:

Let

The total books are = 13x ; where x is any positive number

As given,

The ratio of hardback books to total books is 5 to 13.

⇒Hardback books = $\frac{5}{13}$ × Total books

⇒Hardback books = $\frac{5}{13}$ × 13x = 5x

So, Paperback books = Total books - Hardback books

= 13x - 5x

= 8x

⇒Total Paperback books = 8x

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3 years ago

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3 years ago

A researcher interested in Springfield citizens' shopping habits surveys a randomly selected group of 200 Walmart shoppers. 76%

luda_lava [24]

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3 years ago

Read 2 more answers

Evaluate the limit. lim x-> infinity n/3^x

Sav [38]

Answer:

Step-by-step explanation:

Find the following limit:

lim_(x->∞) 3^(-x) n

Applying the quotient rule, write lim_(x->∞) n 3^(-x) as (lim_(x->∞) n)/(lim_(x->∞) 3^x):

n/(lim_(x->∞) 3^x)

Using the fact that 3^x is a continuous function of x, write lim_(x->∞) 3^x as 3^(lim_(x->∞) x):

n/3^(lim_(x->∞) x)

lim_(x->∞) x = ∞:

n/3^∞

n/3^∞ = 0:

Answer: 0

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3 years ago

The profit that a vendor makes per day by selling x elephant ears is given by the function P(x)= -0.004x^2+3.2x-200. Find the nu

dezoksy [38]

Answer:

The number of elephant ears that must be sold to maximize profit is 400.

Step-by-step explanation:

Given that,

The profit that a vendor makes per day is given by

P(x)= - 0.004x² +3.2 x -200

where x is number of elephant ears.

P(x)= - 0.004x² +3.2 x -200

Differentiating with respect to x

P'(x)= - 0.008x+3.2

Again differentiating with respect to x

P''(x) = -0.008

For maximum or minimum P'(x)=0

- 0.008x+3.2=0

⇒0.008x=3.2

$\Rightarrow x=\frac{3.2}{0.008}$

⇒ x = 400

$P''(x)|_{x=400} = -0.008$

Since at x=400, P''(x)<0, the profit is maximize.

P(400) = -0.004×400²+3.2×400-200

=440

The number of elephant ears that must be sold to maximize profit is 400.

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3 years ago