MATHEMATICS HIGH SCHOOL

find the first,fourth,and tenth terms of the arithmetic sequence described by the given rule. A(n)=5+(n-1)(1/6)

Answers

Answer 1

Answer:

Answer:

First term is 5

Fourth term is 5.5

Tenth term is 6.5

Step-by-step explanation:

Given :The rule as $A(n)=5+(n-1)((1)/(6))$

We have to find find the first,fourth,and tenth terms of the arithmetic sequence.

Consider the given rule ,

$A(n)=5+(n-1)((1)/(6))$

For first term , put n = 1

$A(1)=5+(1-1)((1)/(6))$

Simplify , we have,

$A(1)=5$

For fourth term, Put n = 4

we have,

$A(4)=5+(4-1)((1)/(6))$

Simplify, we have,

$A(4)=5+(3)((1)/(6))$

$A(4)=5+(1)/(2)=5.5$

For tenth term, put n = 10 ,

We have,

$A(10)=5+(10-1)((1)/(6))$

$A(10)=5+(9)((1)/(6))$

$A(4)=5+(3)/(2)=6.5$

Thus, First term is 5

Fourth term is 5.5

Tenth term is 6.5

Answer 2

Answer: a₁ = 5 an = a₁ + ( n-1) * r
wyliczymy jednak - so we enumerate
a₁ = 5 + (1-1) * (1/6) = 5 + 0* 1/6 = 5 + 0 = 5
a₄ = 5 + (4 - 1) * (1/6) = 5 + 3 * (1/6) = 5 + 3/6 =5 1/2 = 5,5
a₁₀ = 5 + (10 - 1) * (1/6) = 5 + 9 * (1/6) = 5 + (9/6) = 5 + 3/2 = 6 1/2 = 6,5

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Answers

Answer:

Step-by-step explanation:

Because there are a same number of boys and girls, the odds are 20:20 which can be simplified to 1:1

Hope that helps

Once again the answer is A

Bye have a great time :D

Multiply (3x – 5y)(2x + 3y)

Answers

Answer:

6x² - xy - 15y²

Step-by-step explanation:

To multiply these two binomials together, we can use FOIL. FOIL stands for:

First: Multiply the first terms of the binomials together.

Outer: Multiply the first term of the first binomial by the second term of the second binomial.

Inner: Multiply the second term of the first binomial by the first term of the second binomial.

Last: Multiply the second (last) terms of the two binomials together.

(3x - 5y)(2x + 3y) = (3x)(2x) + (3x)(3y) + (-5y)(2x) + (-5y)(3y)

= 6x² + 9xy - 10xy - 15y²

= 6x² - xy - 15y²

I hope you find my answer helpful.

Solve the inequality 6x − 8 > 4x + 26.x < 9

x < 17

x > 9

x > 17

Answers

Answer:

The last option is the correct answer.

Step-by-step explanation:

The given inequality is :

$6x-8>4x+26$

Pairing the like terms together we have :

$6x-4x>26+8$

=> $2x>34$

Now we will divide both sides by 2;

=> $x>17$

Thus, the answer is $x>17$ .

The last option is the correct answer.

Hello,
Answer D (x>17)

6x-8>4x+26
==>6x-4x>26+8
==>2x>34
==>x>17

What is the sum of the given polynomials in standard form?
(x2 – 3x) + (–2x2 + 5x – 3)

Answers

Answer:

$-x^2+2x-3$

Step-by-step explanation:

We have $(x^2- 3x) + (-2x^2 + 5x -3)$ which is the same as:

$x^2-3x-2x^2+5x-3$

The polynomial has 5 terms that we are going to analyse:

1st. term: $x^2$ Degree: 2 Coefficient: 1

Observation: Coefficient is the number in front of a variable. In this case the variable is x. Then the first term has coefficient 1 because $(1).x^2=x^2$ .