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2 years ago

Find the product of (-2 x5y3 )( 3x2y )

Mathematics

1 answer:

Y_Kistochka [10]2 years ago

7 0

Answer:

(-2 x5y3 )( 3x2y )= -180 x2 y2

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PLEWSE HELP ME WITH THIS!!!!!!

Aleonysh [2.5K]

Answer:

Step-by-step explanation:

Current coordinate of R : ( 1,5 )

Applying translation with rule (x,y) --> (x+1 , y-1)

Coordinate after translation ( 1 , 5 ) ==> ( 1 + 1 , 5 - 1 ) ==> ( 2 , 4 )

applying dilation with scale factor of 3 , to apply dilation multiply x and y values by scale factor which is 3

Coordinate after dilation ( 2 , 4 ) ==> ( 2 × 3 , 4 × 3 ) ==> ( 6 , 12 )

The final coordinate is ( 6 , 12 )

4 0

1 year ago

Factor of x^3-x^2-24x-36

Basile [38]

The trial and error method is used to find an initial factor:
If we let f(x) = x³ - x² - 24x - 36 and all we have to do is sub' in values of x until
f(x) = 0, we can use this to find an initial factor by the factor theorem:
f(1) = (1)³ - (1)² - 24(1) - 36 = -60
f(2) = (2)³ - (2)² - 24(2) - 36 = -80
f(5) = (5)³ - (5)² - 24(5) - 36 = -56
*** f(6) = (6)³ - (6)² - 24(6) - 36 = 0 ***

f(6) = 0 so (x - 6) is a factor of f(x).
This means that: f(x) = x³ - x² - 24x - 36 = (x - 6)(ax² + bx + c).
To find a,b and c, use long division (or inspection) to divide x³ - x² - 24x - 36 by x - 6.
The other 2 factors of f(x) can then be found by factorizing the
ax² + bx + c quadratic the way you would with any other quadratic (i.e. by quadratic formula, CTS or inspection).

5 0

2 years ago

Prove 2^n > n for all n equal to or greater than 1. I mostly need help with how to solve the problem when it is greater than

noname [10]

If $n$ is an integer, you can use induction. First show the inequality holds for $n=1$ . You have $2^1=2>1$ , which is true.

Now assume this holds in general for $n=k$ , i.e. that $2^k>k$ . We want to prove the statement then must hold for $n=k+1$ .

Because $2^k>k$ , you have

$2^{k+1}=2\times2^k>2k$

and this must be greater than $k+1$ for the statement to be true, so we require

$2k>k+1$

for $k>1$ . Well this is obviously true, because solving the inequality gives $3k>1\implies k>\dfrac13$ . So you're done.

If you $n$ is any real number, you can use derivatives to show that $2^n$ increases monotonically and faster than $n$ .

7 0

2 years ago

2x + 3y = 13<br> y = 3x + 8

kumpel [21]

Step-by-step explanation:

2x+3(3x+8)=13 y=3x+8

2x+9x+24=13 y=3(-1)+8

11x+24=13 y= -3+8 =8-3

11x=13-24 y=5

11x/11= -11/11

x= -1

6 0

2 years ago

Regina, courtney, and Ellen hiked around bear pond. Regina hiked 7/10 of the distance in an hour. Ellen hiked 3/8 of the distanc

Kitty [74]

7/10 > 3/8

I found this by first finding a common denominator, so for this it will be 40. 10 can go into 40 four times, so you do 7x4 and that is 28, so 7/10 is 28/40.
3/8 is 15/40 because 8 goes into 40 five times, so you do 5x3 which is 15, so the fraction is 15/40. 15/40 is less than 28/40 because 28 > 15

8 0

2 years ago