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mr Goodwill [35]

3 years ago

7

Find the zeros of the following polynomial x^2-2x+1

2 answers:

Mashcka [7]3 years ago

5 0

It factors to (x - 1)(x - 1)

the zeroes are ix = 1. Duplicity 2.

muminat3 years ago

4 0

If the polynomial is of the form x^2+bx+c (ie., no factor in front of the x^2!!) then you can look for numbers that add up to b and multiply to c.

So in this case: what two numbers, when added, give -2 and when multiplied, give 1? A little trial and error gives you -1 and -1.
So the factorization is (x-1)(x-1). This is zero for x=1. There is only one zero.

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Solve the system of linear equations by substitution x=5y+2 and x-4y=5

never [62]

Answer:

(17,3)

Step-by-step explanation:

Equation 1.

x=5y+2

Equation 2.

x-4y=5

To solve with substitution, it looks like the x-variable in the first equation is already isolated. So, plug the first equation into the x-variable in the second equation.

x-4y=5

(5y+2)-4y=5

y+2=5

y=3

Now that we found y, plug y into one of the equations to solve for x.

x=5y+2

x=5(3)+2

x=15+2

x=17

(17,3)

6 0

2 years ago

Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.)

In-s [12.5K]

Answer:

The sequence diverges.

Step-by-step explanation:

A sequence $a_{n}$ converges when $\lim_{n \rightarrow \infty} a_{n}$ is a real number.

In this question, the sequence given is:

$a_{n} = 4n\cos{(7n\pi)}$

The cosine is always going to be between -1 and 1, so for the convergence of the sequence, we look it as: $a_{n} = 4n$ . So

$\lim_{n \rightarrow \infty} a_{n} = \lim_{n \rightarrow \infty} 4n = \infty$

Since the limit is not a real number, the sequence diverges.

5 0

3 years ago

The Smith family went to eat at Buffalo Wild Wings. The bill was $43.86. They gave the server a 20% tip. How much did they pay a

Marysya12 [62]

<h2>Answer:</h2>

$52.63

<h2>Step-by-step explanation:</h2>

To find 20% of $43.86 we multiply $43.86 by 0.2

$43.86 • 0.2 = $8.772

Now add $43.86 and $8.772 to find out how much the family paid altogether.

$43.86 + $8.772 = $52.632

In money the smallest place value is cents so we have to round to the hundredths place.

Doing this we get the grand answer of:

$52.63

3 0

2 years ago

The garden has 20 rows of crops and one half of the rows are planted with corn. How many rows are planted with corn?

max2010maxim [7]

20 x 1/2 = 10

There are 10 rows that are planted with corn.

3 0

3 years ago

Read 2 more answers

The sum of 3 consecutive odd numbers is 51. What is the second number in this sequence?

Feliz [49]

$2n+1+2n+3+2n+5=51\\
6n+9=51\\
6n=42\\
n=7\\\\
2n+3=2\cdot7+3=17$

4 0

3 years ago