All categories

3 years ago

Find the LCM of the pair of polynomials.

Mathematics

1 answer:

svet-max [94.6K]3 years ago

7 0

$2x^{2}-8x+8$

Factor the polynomial.

2( $x^{2}-4x+4$ )

2(x-2) $^{2}$

Factor the other Polynomial.

3 $x^{2}+27x-30$

$3(x^{2}+9x-10)$

$3(x+10)(x-1)$

This is your answer.

$6(x-2)^{2}(x+10)(x-1)$

You might be interested in

Given that the average rate of change for y = f(x) over the interval [0,3] is −1, the average rate of change over the interval [

Svet_ta [14]

Answer:

Answer is 2

Step-by-step explanation:

We know that average rate of change of a function f(x) in the interval (a,b) is

$\frac{1}{b-a} \int\limits^a_b {f(x)} \, dx$

Using this we can say that

$\int\limits^0_3 {f(x)} \, dx =-1(3)=-3\\\int\limits^2_3 {f(x)} \, dx =5(1)=5\\\\\int\limits^2_6 {f(x)} \, dx =4(5)=20\\$

Using properties of integration we have

3 to 6 integral = 20-5 =15

0 to2 integral = -3=5 =-8

Thus integral form 0 to 6 would be = -8+15+5 = 12

Average rate of change form 0 to 6 = $\frac{12}{6} =2$

Answer is 2

7 0

3 years ago

The length of a Train A is 480 m and it takes 2 minutes to cross a tunnel of length 1,320 m. The length of a Train B, which is s

nasty-shy [4]

Answer: 52.94

Step-by-step explanation:

Length of train A = 480m

Tunnel length = 1320m

Time taken to cross tunnel = 2 mins = 120sec

Length of train B = 420m

Train B is slower than train A

Difference between their speed = 18km/hr

18km/hr = (18×1000)/3600 = 5m/s

Speed of train A :

Speed = distance / time

Speed = 1320 / 120 = 11m/s

Therefore, speed of train B :

(11 - 5)m/s = 6m/s

Relative speed of the two trains is therefore;

(Speed of A + speed of B)

Note : they are moving in opposite direction

( 11 + 6)m/s = 17m/s

Therefore time taken to cross each other :

(Sum of the length of both trains / relative speed of the trains)

Time taken = (480m + 420m) / (17m/s)

Time taken = 900m / 17m/s

Time taken = 52.94s

4 0

3 years ago

Enter the fraction as a decimal and a percent.

vodka [1.7K]

Answer:

1/1 (a whole)

1.00/1

8/8

1.00/1

Step-by-step explanation:

Multiply

7 0

3 years ago

Some of the children at a school arrrive by car.

dedylja [7]

Answer:

0.36

Step-by-step explanation:

Percentage of boys = 60%

Percentage of girls = 100 - 60 = 40%

Percentage of boys that arrive by car

= 20% of 60%

= 0.2 x 60 = 12%

Percentage of girls that arrive by car

= 60% of 40%

= 0.6 x 40

= 24%

Total Percentage of children arrive by car

= 12 + 24

= 36%

P(Arrive by car)

= 36%

= 0.36

5 0

3 years ago

What’s the answer for -3(r-4)_>0

Zigmanuir [339]

Answer:

r<4

Step-by-step explanation:

-3(r-4)>0 step 1: distribute the -3

-3r+12>0 explain: -3 times r =-3r, -3 times -4 = 12

next, isolate the -3r by putting 12 on the other side

-3r+12>0 subtract 12 from both sides

-3r>-12 now, divide both sides by -3 (you have to flip the > because you are dividing by a negative) -12 divided by -3 is 4

so you should end up with r<4

8 0

3 years ago