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]
3 years ago
15

Expand and simplify

Mathematics
1 answer:
coldgirl [10]3 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
Which best describes the angles of some rhombuses?
Crank
<span>A.Two acute angles and two obtuse angles

Hope this helps!
</span>
5 0
3 years ago
Can someone please help me
Shkiper50 [21]

Answer: B. 41 3/5 ounces of icing per cake

Step-by-step explanation:

  1. 52/5 divided by 1/4. Keep 52/5, change the division sign into a multiplication sign, and flip 1/4 to 4.
  2. The new equation should be 52/5 * 4. The answer to this is 208/5, which simplified is 41 3/5.
5 0
3 years ago
Which term completes the product so that it is a difference of squares? <br> (-5x-3)(-5x+ )
siniylev [52]
The answer is 3

a^{2}-b^{2}=(a-b)(a+b)
7 0
3 years ago
Read 2 more answers
I REALLY NEED HELP
g100num [7]
Because poop lol

Poop lol = 3.14

If 3.24= Pi then when I eat a peace of pie I eat 3.14
7 0
2 years ago
Read 2 more answers
What is the quotient (3x^2 + 4x-15) divided by (x+3)
MrMuchimi

\frac{3x3 - 4x2 - 3x - 15}{x}
Step  1  :

simplify
\frac{15}{x}
Equation at the end of step  1  :

15 (((3 • (x2)) - 4x) - ——) - 3 x

Step  2  :

Equation at the end of step  2  :

15 ((3x2 - 4x) - ——) - 3 x

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole 

Rewrite the whole as a fraction using  x  as the denominator :

3x2 - 4x (3x2 - 4x) • x 3x2 - 4x = ———————— = —————————————— 1 x

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole 

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   3x2 - 4x  =   x • (3x - 4) 

Adding fractions that have a common denominator :

 4.2       Adding up the two equivalent fractions 
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • (3x-4) • x - (15) 3x3 - 4x2 - 15 ————————————————————— = —————————————— x x

Equation at the end of step  4  :

(3x3 - 4x2 - 15) ———————————————— - 3 x

Step  5  :

Rewriting the whole as an Equivalent Fraction :

 5.1   Subtracting a whole from a fraction 

Rewrite the whole as a fraction using  x  as the denominator :

3 3 • x 3 = — = ————— 1 x


4 0
3 years ago
Other questions:
  • How do you solve this equation?
    13·1 answer
  • Which of the following is most likely the next step in the series?
    8·2 answers
  • (y - 6) = -4(x + 3) in slope intercept form
    12·2 answers
  • Hi there, can anyone please help me? I need this soon. The question is: Tell whether the angles are adjacent or vertical then fi
    5·1 answer
  • The diagram shows the spot on a basketball court called the "key". what is the area of the key? Use 3.14 for pi
    13·1 answer
  • How to i find the slope intercept form of y=-4x+6 step by step?
    12·2 answers
  • 120 x ? = 40
    5·1 answer
  • Helppphjjjjjjjjjjjbb​
    5·1 answer
  • What’s 9n-3 simplified
    11·1 answer
  • Triangle ABC is equilateral with sides 10 cm long. Triangle DEF is formed by drawing lines parallel to, and 1 cm away from, the
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!