1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
guajiro [1.7K]
2 years ago
15

Expand and simplify

Mathematics
1 answer:
coldgirl [10]2 years ago
5 0

Answer:

A) -p + 38

B) k + 1

C) a_n = 4n + 1

D) a_n = 7n - 6

E) a_n = 14 - 4n

Step-by-step explanation:

A) 5(p + 6) - 2(3p + 4)

Multiply out the bracket to get;

5p + 30 - 6p + 8

>> -p + 38

B) 7(k - 2) - 3(2k - 5)

Multiply out the bracket to get;

>> 7k - 14 - 6k + 15

>> k + 1

C) Sequence is;

5, 9, 13, 17, 21

This is clearly an AP(arithmetic progression) because the difference between each term is 4.

Formula for nth term of an AP is;

a + (n - 1)d

Where d is difference and a is first term

Thus;

a_n = 5 + (n - 1)4

a_n = 5 + 4n - 4

a_n = 4n + 1

D) Sequence is 1, 8, 15, 22, 29.

This is also an AP.

Difference is 7.

Thus,nth term is;

a_n = 1 + (n - 1)7

a_n = 1 + 7n - 7

a_n = 7n - 6

E) 10, 6, 2, -2, -6

This is also an AP.

Difference is -4

Thus,

a_n = 10 + (n - 1)(-4)

a_n = 10 - 4n + 4

a_n = 14 - 4n

You might be interested in
Help me please for 10pt
balandron [24]

Answer:

The answer is A

Step-by-step explanation:

6 0
2 years ago
A cart rolls 2 m to the right then rolls back 1 m to the left.
TEA [102]

Answer:

3 m is the displacement

Step-by-step explanation:

because the distance traveled is how much you really move necessarily is the distance from where you started to where you ended in a sraight line, not every single move you made, and the displacement is how much you moved altogether in any and every direction even if you went in circles. hope this helps!! love yawl, stay safe!! <3 <3 <3 <3 <3 <3 <3

6 0
3 years ago
I don't get the problem
Ulleksa [173]
A(b + c) = a*(b + c) = a*b + a*c

You must multiply individual terms and see what it would equal
3 0
3 years ago
7x^2 - 16x - 15<br>please help find the factored form​
myrzilka [38]

Step-by-step explanation:

7x^×2-16x-15

14x^-16x-15

8 0
2 years ago
At the scene of a crime, the police have found a blood stain, a footprint, and some threads from a fabric. All are presumed to h
zubka84 [21]

Answer:

There is a 0.175% chance of finding such a person who has all three characteristics.

Out of 4,000 people, 7 people would likely to match all three characteristics.

Step-by-step explanation:

A crime has been committed and after analyzing the evidence, police has found out that:

  1. The criminal's blood type is a type found in only 10% of the population.
  2. The criminal's footprint is a size 13 men's shoe and only 7% of the population wears such shoe size.
  3. Only 25% of the population owns clothing made from a fabric that matches the thread samples found at the scene.

We required to find out the probability of selecting a random person who would match all of these characteristics.

Since it is given that the three characteristics are independent of each other then the required probability is  

P(all 3 characteristics) = P(1st characteristic)*P(2nd characteristic)*P(3rd characteristic)

P(all 3 characteristics) = (10/100)*(7/100)*(25/100)

P(all 3 characteristics) = 1750/1,000,000

P(all 3 characteristics) = 7/4000

P(all 3 characteristics) = 0.00175

P(all 3 characteristics) = 0.175%

So out of 4,000 people, 7 people would likely to match all three characteristics.

or

There is a 0.175% chance of finding such a person who has all three characteristics

3 0
3 years ago
Other questions:
  • What is the answer to 3/5(x-4)=9
    12·1 answer
  • How to find the measure of an arc?
    13·1 answer
  • I will upvote and give brainliest answer
    11·1 answer
  • A store buys 7 sweaters for $42 and sells them for $182. How much profit does the store make per sweater?
    8·1 answer
  • The results of a recent survey of the students at Rockdale Middle School show that 17 out of every 22 students enjoy the cafeter
    8·1 answer
  • Which equation can be rewritten as x + 4 = x2? Assume x greater-than 0 StartRoot x EndRoot + 2 = x StartRoot x + 2 EndRoot = x S
    8·2 answers
  • 0.3,3,30,300 what r the next three numbers? How much are they going up in each time
    13·1 answer
  • Can someone help me please? :)
    13·1 answer
  • Solve for x in the diagram below. 15 points :3
    11·1 answer
  • Which equations support the fact that rational numbers are closed under subtraction?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!