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Anastaziya [24]
2 years ago
9

Write the polynomial of least degree with roots -2, 5, and 7.

Mathematics
1 answer:
fomenos2 years ago
3 0
For roots of -2, 5, and 7.

x = -2, x = 5, and x = 7

x = -2                        x = 5                             x = 7           

(x + 2) = 0                 (x - 5) = 0                   (x - 7) = 0

The polynomial of least degree would be:
(x -2)(x - 5)(x - 7) = 0

(x -2)(x -5) = x(x - 5) - 2(x -5)
              
                 = x² - 5x - 2x + 10

                 = x² - 7x + 10

 (x² - 7x + 10)(x -7)

x(x² - 7x + 10) - 7(x² - 7x + 10)

x³ - 7x² + 10x - 7x² + 49x - 70

x³ - 7x² - 7x² + 10x + 49x - 70

x³ - 14x² + 59x - 70

The least is   x³ - 14x² + 59x - 70
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Step-by-step explanation:

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Find m∠ABD and m∠CBD given m∠ABC = 111∘
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25xy=225 convert to polar form
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6 0
2 years ago
It is known that 70% of the customers in a sporting goods store purchase a pair of running shoes. a random sample of 25 customer
NikAS [45]

Let x be the discrete random variable whose value is the number of successes in n trials.

The probability distribution function for x of the binomial distribution B(n,p) is defined as

B(n,p)= nC_xp^x(1-p)^{n-x}

Given that the random sample size is n=25

let x represent number of customers who purchase running shoes

Let "p" be the probability of customers in a sporting goods store purchase a pair of running shoes.

It is given that 70% of the customers in a sporting goods store purchase a pair of running shoes.

Thus p=\frac{70}{100}=0.7

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P(X=x)= 25C_x(0.7)^x(1-0.7)^{25-x}, where x=0,1,2,3,...,25.

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2 years ago
Rachel, Adam, Michelle, Hannah, and James are going to the movies. They have $65 to spend on tickets and snacks. Each movie tick
Ann [662]

Answer:

1. By substitution property of inequality

5(9.5)+4.5\leq65

2. By using multiplication  in equality then we get

47.5+4.5x\leq65

3. The five friends will have 3 snacks to split.

Step-by-step explanation:

Given

Five friends have total money= $65

Cost of each movie ticket= $9.50

Cost of each snack item= $4.50

Let ,five friends have total snacks = x

Total movie tickets=5

Because total number of friends=5

The inequality expressionis given by

I Step: 5(9.5)+4.5x\leq 65

Reason: By using substitution property of inequality

47.5+4.5x\leq 65[/tex2. Step :[tex]4.5x[tex]\leq65-47.5[/tex]

4.5x\leq 17.5  ( by subtarction 47.5  from both sides)

x\leq \frac{17.5}{4.5}   ( by dividing 4.5 on both sides )

<h3>x\leq 3.889  (by simplication)</h3><h3>x=3</h3>

Because they can buy maximum 3 snacks .

Beacause the number of snacks is natural number so we can't take in rational numbers.

<h3>Hence, the five friends will have 3 snacks to split.</h3>

6 0
2 years ago
Read 2 more answers
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