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Alex
3 years ago
14

Find the factored form of 4x2– x - 14.

Mathematics
1 answer:
kvasek [131]3 years ago
3 0

Answer:

(4x + 7)(x - 2)

Step-by-step explanation:

Synthetic division can be a very useful tool in factoring, although there are certainly other methods.

-14 is the constant term; its factors here MAY include ±2 and/or ± 7.

Let's use synthetic division to determine whether or not 2 is a root of the quadratic:

2   /   4    -1    -14

               8     14

    --------------------

         4     7      0

Because the remainder here is zero (0), we have verified that 2 is a root and (x - 2) is a factor of 4x^2 - x - 14.  Note that the remaining coefficients, 4 and 7, indicate that the other factor is 4x + 7.

Thus, 4x^2– x - 14 = (4x + 7)(x - 2)

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The expression 100 + 20m100+20m100, plus, 20, m gives the volume of water in Eduardo's pool (in liters) after Eduardo spends mmm
hodyreva [135]

Answer:

205 litres

Step-by-step explanation:

Given:

Volume of water is given as:

V=100+20m (in litres)

<em>m</em> is the time in minutes spent filling water in Eduardo's pool.

To find:

Volume of water in the pool after the water is filled for 5\frac{1}{4} minutes.

Solution:

Here, volume of water in the Pool (in litres) is given by the equation:

V=100+20m ....... (1)

Where m is the time for which Eduardo fills the pool.

Here, we are also given that

m = 5\frac{1}{4} minutes = \frac{5\times4+1 }{4}=\frac{20+1}{4}=\frac{21}{4} minutes

And we have to find the value of V after \frac{21}{4} minutes.

Let us put the value of m as \frac{21}{4} minutes in the equation (1) to find the value of V.

V=100+20m\\\Rightarrow V = 100 + 20 \times \frac{21}{4}\\\Rightarrow V = 100+105\\\Rightarrow \bold{V = 205\ litres}

So, the volume of water in the pool after \frac{21}{4} minutes is <em>205 litres.</em>

7 0
3 years ago
May I please get help with all the questions
bogdanovich [222]

Answer:

1. g(3) = 1

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5. f(f(4)) = 2

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3 years ago
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Brut [27]

Answer:

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Step-by-step explanation:

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We know that

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liberstina [14]

Answer:

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Step-by-step explanation:

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3 years ago
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