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3 years ago

21x cubed - 18x squared y + 24xy squared

Mathematics

1 answer:

Alexxx [7]3 years ago

3 0

21x³ - 18x²y + 24xy²

Simplify!

7x³ - 6x²y + 8xy²

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How many different committees can be formed from 12 teachers Abs 43 students of the committee consists of 4 teachers and 3 stude

Marina86 [1]

Answer:

6108795

Step-by-step explanation:

To obtain the number of ways the committee can be selected :

4 teachers from the 12 teachers available and 3 students from the 43 students available

Using combinatorics :

12C4 * 43C3

recall :

nCr = n! ÷ (n - r)!r!

Using calculator :

12C4 = 495

43C3 = 12341

12C4 * 43C3

495 * 12341

= 6108795

3 0

3 years ago

A car of 1000 kg starts to move from rest and travels a distance of 150 m in 10 second. How much force is needed?

allsm [11]

Initial velocity=u=0m/s
Distance=s=150m
Time=t=10s
Acceleration=a

Using second equation of kinematics

$\\ \sf\longmapsto s=ut+\dfrac{1}{2}at^2$

$\\ \sf\longmapsto 150=0(10)+\dfrac{1}{2}a(10)^2$

$\\ \sf\longmapsto 150=\dfrac{1}{2}\times 100a$

$\\ \sf\longmapsto 50a=150$

$\\ \sf\longmapsto a=\dfrac{150}{50}$

$\\ \sf\longmapsto a=3m/s^2$

Mass=m=1000kg
Force=F

Using newtons second law

$\\ \sf\longmapsto F=ma$

$\\ \sf\longmapsto F=1000(3)$

$\\ \sf\longmapsto F=3000N$

3 0

3 years ago

What is the domain of the function shown

Sedaia [141]

It would be choice b.
The domain is the range of x values which in this case is from -5 to 3.

4 0

3 years ago

Read 2 more answers

Melissa has a choice of two phone plans

harina [27]

What are the plans?
( Sorry if not answering real question.)

4 0

3 years ago

Read 2 more answers

the total charge for a yearly internet movie rental membership is $231.A registration fee of $15 is paid up front and the rest i

Flura [38]

New members pay a fee of $18 per month.

Step-by-step explanation:

Given,

Yearly movie rental cost = $231

Registration fee = $15

1 year = 12 months

Let,

x be the fee per month.

12x+15=231

$12x=231-15\\12x=216$

Dividing both sides by 12

$\frac{12x}{12}=\frac{216}{12}\\x=18$

New members pay a fee of $18 per month.

Keywords: subtraction, division

Learn more about division at:

#LearnwithBrainly

7 0

3 years ago