MATHEMATICS HIGH SCHOOL

The explicit formula for a sequence isan=−1+3(n−1)

What is the 55th term of the sequence?

Answers

Answer 1
Answer:

Step-by-step explanation:

\because \: a_n = - 1 + 3(n - 1) \n \n \therefore \: a_(55) = - 1 + 3(55 - 1) \n \n \therefore \: a_(55) = - 1 + 3 * 54 \n \n \therefore \: a_(55) = - 1 + 162\n \n \huge \blue { \boxed{\therefore \: a_(55) = 161}}\n \n

Hence, the 55th term of the sequence is 161.

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Numerical expression the sum of four and nine times three

Answers

The sum of 4 and 9 times 3 would be determined by adding 4 and 9 first, which is 13 then, you would multiply that with 3. And, 13 x 3 is 39. So, my final answer is 39.

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Answers

Answer: 4.76e5

Step-by-step explanation:

What is the factored form of 6x^2 + 13x + 6?A.) (x + 4)(x + 9)
B.) (2x + 3)(3x + 2)
C.) (2x + 6)(3x + 1)
D.) (6x + 1)(6x + 1)

Answers

The answer would be B.first you would have to multiply the first coefficient,6 with the last term. being 6,                                                                                                   6·6 = 36.Now there is a few factors such as 1,2,3,4,6,9,12,18,36, and the negatives of these numbers, but i wont list them,i will just use the numbers i need for this problem.so i will replace the number 13 in this equation.              [6ײ+4×]+[9×+6]. then i will factor the GCF 2 into the first group and then factor 3 in the second group. 2×[3×+2]+3·[3×+2]. then i would have to factor out the two numbers out of the term 3×+2 then combine the like terms making the equation [2×+3]·[3×+2] making the answer B. Hope i helped bye.

The correct answer is option B.) (2x + 3)(3x + 2).

Given that the factored form of 6x^2 + 13x + 6 is equivalent to which of the following.

A.) (x + 4)(x + 9)

B.) (2x + 3)(3x + 2)

C.) (2x + 6)(3x + 1)

D.) (6x + 1)(6x + 1)

To determine the factored form of the quadratic expression 6x^2 + 13x + 6, we can apply the factoring technique. We are looking for two binomials in the form (px + q)(rx + s) that, when multiplied, result in the original expression.

To factor the expression, we need to find two numbers whose product is equal to 6 * 6 = 36 and whose sum is equal to 13.

The numbers that satisfy these conditions are 4 and 9.

Therefore, the factored form of the expression is:

(2x + 3)(3x + 2)

So, the correct answer is option B.) (2x + 3)(3x + 2).

Learn more about factoring quadratic expressions click here: brainly.com/question/14680354

#SPJ6

Can someone help me with these three problems I don't know how to do them.

Answers

Answer:

\Huge \boxed{\tt{1.\,\,\, \tt{(x)/(3) = y}}}

\Huge \boxed{\tt{2.\,\,\, \tt{m = p - 5n}}}

\Huge \boxed{\tt{3.\,\,\,\tt{r = (t + 6s)/(12)}}}

Step-by-step explanation:

Question 1

To solve the equation x = 3y for y, we want to isolate y on one side of the equation.

Let's divide both sides of the equation by 3:

  • \tt{(x)/(3) = (3y)/(3) }

Simplifying this gives us:

  • \tt{(x)/(3) = y}

So, the solution for y is \tt{(x)/(3) = y}.

Question 2

To solve the equation m + 5n = p for m, we want to isolate m on one side of the equation.

Let's subtract 5n from both sides of the equation:

  • \tt{m + 5n - 5n = p - 5n}

Simplifying this gives us:

  • \tt{m = p - 5n}

So, the solution for m is \tt{m = p - 5n}.

Question 3

To solve the equation 12r - 6s = t for r, we want to isolate r on one side of the equation, as said before.

Let's add 6s to both sides of the equation:

  • \tt{12r - 6s + 6s = t + 6s}

Simplifying this gives us:

  • \tt{12r = t + 6s}

Now, divide both sides of the equation by 12:

  • \tt{(12r)/(12) = (t + 6s)/(12)}

Simplifying this gives us:

  • \tt{r = (t + 6s)/(12)}

So, the solution for \tt{r = (t + 6s)/(12)}.

#BTH1

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Answer:

a)  y = x/3

b)  m = p - 5n

c)  r = (t + 6s)/12

Step-by-step explanation:

See the attached worksheet.  The goal is to add/subtract/multiply and/or divide the individual terms until the "indicated variable" is isolated, and on the left (so that "variable =" ).

Find the geometric mean of 125 and 5..

Answers

The geometric mean of two numbers is the square root of their product.
GM = √( 125 · 5 ) = √ 625 = 25
Answer:
The geometric mean of 125 and 5 is 25. 

Answer:

The geometric mean of 125 and 5 is, 25

Step-by-step explanation:

Geometric mean(GM) of two number is given by:

GM = √(ab)

As per the statement:

Given two numbers i.e 125 and 5

then by definition we have;

GM = √(125 \cdot 5)

⇒GM = √(625)

⇒GM = √((25)^2)

⇒GM = 25

Therefore, the geometric mean of 125 and 5 is, 25

write the equation of a line that passes through the points (−3, 5) and (2, 10) in slope-intercept form

Answers


Slope-intercept form         y = mx + b

                          where    m------> slope

                                         b-------> y-intercept

                                        m= (y1-y2)/(x1-x2)

                                        P1(-3,5)      (x1,y1)

                                        P2(2,10)      (x2,y2)

                                         m= (5-10)/(-3-2)

                                         m= (-5)/(-5)

                                         m=1

               Until now, the equation is y=mx+b

                                                        y=1.x+b

                                                        y=x+b

But, whe can plug  the point   P2(2,10) in y =x+b

                                                     10 =2 + b

                                                   10 - 2 = b

                                                           b= 8

Then, the equation is              y=mx+b

                                                y= x+8   <-------------------Solution

Verification                    P1(-3,5)       y = x+8        5=-3+8     Ok

                                      P2(2,10)      y = x +8      10 = 2+8   Ok

                    

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