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4 years ago

Find the prime factorization of 837. ?

Mathematics

1 answer:

seraphim [82]4 years ago

5 0

Answer:

The Prime Factorization is:

3 x 3 x 3 x 31

In Exponential Form:

33 x 311

Format:

3, 3, 3, 31

Step-by-step explanation:

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Solve the system by graphing<br> 6x – 9 = y<br> y = -3x<br><br> i can graph but how do you solve it

mezya [45]

Answer:

I love algebra anyways

The ans is in the picture with the steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

3 0

3 years ago

find 3 consecutive even integers such that the sum of the smaller 2 is 6 less than twice the largest one

saw5 [17]

n, n + 2, n + 4 - three consecutive even integers

n + 2 = 2(n + 4) - 6 |use distributive property

n + 2 = (2)(n) + (2)(4) - 6

n + 2 = 2n + 8 - 6

n + 2 = 2n + 2 |subtract 2 from both sides

n = 2n |subtract 2n from both sides

-n = 0

n = 0

n + 2 = 0 + 2 = 2

n + 4 = 0 + 4 = 4

Answer: 0, 2, 4.

6 0

4 years ago

ritu can row downstream 20km in 2 hrs and upstream 4km in 2 hrs. find the speed of rowing in still water and the speed of the cu

Marina CMI [18]

Answer:

Speed of boat in still water is 6km/h

Speed of current is 4km/h

Step-by-step explanation:

We know speed = distance / time

Let the speed of boat in still water be x

Let the speed of current be y

Hence the speed of boat, down stream = $x+y$

Distance downstream = 20km

Time taken = 2 hours

We have

$x+y=\frac{20}{2}$

$x+y=10$ ......(1)

Speed of boat upstream = $x-y$

Distance upstream = 4

Time taken = 2

We have

$x-y=\frac{4}{2}$

$x-y=2$ ...(2)

Adding (1) & (2)

$2x=12$

$x=6$

Substituting in (1) we get

$y=4$

7 0

3 years ago

Which polynomial function has a leading coefficient of 1 and roots (7 i) and (5 – i) with multiplicity 1? f(x) = (x 7)(x – i)(x

Nuetrik [128]

It looks like you might have intended to say the roots are 7 + i and 5 - i, judging by the extra space between 7 and i.

The simplest polynomial with these characteristics would be

$f(x) = (x - (7 + i)) (x - (5 - i))$

but seeing as each of the options appears to be a quartic polynomial, I suspect f(x) is also supposed to have only real coefficients. In that case, we need to pair up any complex root with its conjugate to "complete" f(x). We end up with

$f(x) = (x - (7 + i)) (x - (7 - i)) (x - (5 - i)) (x - (5 + i))$

which appears to most closely resemble the third option. Upon expanding, we see f(x) does indeed have real coefficients:

$f(x) = (x^2 - (7^2 - i^2)) (x^2 - (5^2 - i^2)) = (x^2 - 8) (x^2 - 6) = x^4 - 14x^2 + 48$

5 0

2 years ago

Pi times x divided by 2 equals y

pochemuha

Answer:

divide both sides by 1.57 so

x=0.636943y

5 0

3 years ago