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2 years ago

Value of k, if (x – 1) is a factor of 4x3 + 3x2 – 4x + k.

Mathematics

1 answer:

noname [10]2 years ago

3 0

Answer:

k = - 3

Step-by-step explanation:

Given that (x - 1) is a factor of the polynomial then x = 1 is a root

Substitute x = 1 into the polynomial and equate to zero, that is

4(1)³ + 3(1)² - 4(1) + k = 0, that is

4 + 3 - 4 + k = 0

3 + k = 0 ( subtract 3 from both sides )

k = - 3

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balandron [24]

Answer:

Step-by-step explanation:

If sandwiches are 6 dollars each, then chips are 3 dollars, she only bought 5 sandwiches for 6 each for 30 dollars(5*6=30).So, she has 12 dollars left to spend since she spent 42 dollars. And 4 *3=12so she only bought 4 bags of chips.

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2 years ago

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Naledi climbed up a mountain. Her initial altitude was 40 meters above sea level, and it increased by 10 meters each hour.Let )g

Goshia [24]

Answer:

$U_{n} = (40) + (n - 1)(10)$

Step-by-step explanation:

The constant increase every hour indicates a linear correlation, which can be represented by an arithmetic sequence.

The nth term formula is a formula for any specific term you wish to find.

The formula is:

$U_{n} = a + (n - 1)d$

a = starting value of the sequence

d = the common difference (i.e. the difference between any two consecutive terms of the sequence)

n = the value corresponding to the position of the desired term in the sequence (i.e. 1 is the first term, 2 is the second, etc.)

Un = the actual vaue of the the term

In this case:

a = 40

d = 10

And so, the nth term formula is:

$U_{n} = (40) + (n - 1)(10)$

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2 years ago

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Explain how complex fractions can be used to solve problems involving ratios

Kisachek [45]

When you have ratios and some unknowns you can create complex fractions from them.Bring them to the same denominator and solve for X.

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2 years ago

Tom saves $750 a year. Bill saves $60 a month. How much more does Tom save a year than Bill?

wlad13 [49]

Answer:

B) 30

Step-by-step explanation:

Bill saves 60 dollars a month so first you have to find out how much he saves in a year

To find that you multiply 60 by 12 since there are 12 months in a year

60*12 = 720

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2 years ago

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Express 3.222......in p/q form

beks73 [17]

Answer:

3.22222...... = $\frac{29}{9}$

Step-by-step explanation:

In this question we have to convert the number given in recurrent decimals into fraction.

Recurrent decimal number is 3.22222.......

Let x = 3.2222......... -------(1)

Multiply this expression by 10.

10x = 32.2222........... -------(2)

Now subtract the expression (1) from (2),

10x = 32.22222.....

9x = 29

x = $\frac{29}{9}$

Therefore, recurrent decimal number can be written as $\frac{29}{9}$ which is in the form of $\frac{p}{q}$ .

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2 years ago