MATHEMATICS HIGH SCHOOL

What is the seventh term of (x + 4)8?A. 114,688x2
B. 114,688x3
C. 114,688x4
D. 114,688x5

Answers

Answer 1
Answer: The (p+1)-th term of the Newton binomial expansion

(a+b)^(n)

is given by

t_(p+1)=\dbinom{n}{p}\,a^(n-p)\,b^(p)
__________________________

We want the 7th term. Hence, we set p+1 to be 7:

p+1=7~~\Rightarrow~~p=6


Then, the 7th term is

t_(7)=\dbinom{8}{6}\,x^(8-6)\,4^(6)\n\n\n t_(7)=(8!)/(6!\cdot (8-6)!)\cdot x^(8-6)\cdot 4^(6)\n\n\n t_(7)=(8\cdot 7\cdot \diagup\!\!\!\! 6!)/(\diagup\!\!\!\! 6!\cdot 2!)\cdot x^(2)\cdot 4^(6)\n\n\n t_(7)=(8\cdot 7)/(2\cdot 1)\cdot x^(2)\cdot 4^(6)\n\n\n t_(7)=28\cdot x^(2)\cdot 4,096\n\n \boxed{\begin{array}{c} t_(7)=114,688\,x^(2) \end{array}}


Correct answer: \text{A. }114,688\,x^(2).

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What is the product?
2x(x – 4)
2x2 – 4
2x2 – 8
2x2 – 4x
2x2 – 8x

Answers

2x(x - 4)
2x × x + 2x × -4
2x^2 + 2x × -4
2x^2 + -2x × 4
2x^2 - 8x

The answer is: 2x^2 - 8x.

Answer:

2x^2-8x.

Step-by-step explanation:

16. Dilakukan pengukuran volume benda yangberbentuk tabung. Jika jari-jari tabung =
0,40 m dan tinggi tabung = 50 cm, volume
tabung tersebut adalah ....
A. 0,2512 m³
B.
EVC.
C.
D.
2,512 m³
25,12 m³
251,1 m³

Answers

It will be letter A I believe

What is the solution to log( x/4)2

Answers

Answer: simplify then, answer will be log(x2/16)

The first three terms of an arithmetic sequence are given. Find an expression for Tn in terms of n:a, 2a, 3a

Answers

Answer:

tn = n·a

 t10 = 10a

Step-by-step explanation:

We observe that the coefficient of 'a' is the term number:

 tn = n·a

 t10 = 10a

Step-by-step explanation:

Which of the following statements is true?A) Two similar triangles must be congruent.
B) Two congruent triangles must be similar.
C) Two triangles having ye same area must be congruent.
D) Two triangles having the same perimeter must be similar.

Answers

Answer:

A or C

Step-by-step explanation:

Y is 2 less than the product of 9 and x. write a function rule

Answers

y = 9x - 2
the word is means write an = sign
the phrase less than means - but reverse the order: product of 9 and x subtract 2
product means multiplication so 9 times x which is 9x
y=9-2x or if you did y=2-9x it would be a negative number
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