MATHEMATICS HIGH SCHOOL

Which function below represents the arithmetic sequence 3, 7, 11, 15...? a) f(n) = 4 + 3(n - 1)

b) f(n) = 4 + 3n

c) f(n) = 3 + 4n

d) f(n) = 3 + 4(n - 1)

Answers

Answer 1
Answer: d) f(n) = 3 + 4(n-1)

3 = 1st term
4 = common difference among the terms
n = term number you are looking for.

To check: 3, 7, 11, 15, ...

f(1) = 3 + 4(1-1) = 3 + 4(0) = 3 + 0 = 3
f(2) = 3 + 4(2-1) = 3 + 4(1) = 3 + 4 = 7
f(3) = 3 + 4(3-1) = 3 + 4(2) = 3 + 8 = 11
f(4) = 3 + 4(4-1) = 3 + 4(3) = 3 + 12 = 15
Answer 2
Answer:

Answer:

its d

Step-by-step explanation:

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How do I find the correct variable for N? (It won't be negative I think)

Answers

Answer:

25

Step-by-step explanation:

\mathrm{For\ the\ set\ to\ be\ the\ sets\ of\ natural\ numbers,\ (n)/(5)\ and\ √(n+144)\ must\ be\ a}\n\mathrm{positive\ integer.}\n\mathrm{√(n+144)\ is\ a\ natural\ number\ when\ (n+144)\ is\ a\ perfect\ square.}\n\mathrm{And\ (n)/(5)\ is\ a\ natural\ number\ if\ and\ only\ if\ n\ is\ exactly\ divisible\ by\ 5.}\n\mathrm{So\ we\ need\ to\ find\ the\ smallest\ positive\ integer\ which\ would\ make\ both\ of\ these}\n\mathrm{cases\ true.}

\mathrm{Now\ we\ know\ that\ 144\ is\ a\ perfect\ square.\ The\ most\ closed\ perfect\ square\ to}\n\mathrm{144\ are\ 121\ and\ 169.}\n\mathrm{We\ are\ taking\ these\ closest\ perfect\ squares\ to\ 144\ because\ we\ want\ the\ value\ of}\n\mathrm{n\ to\ be\ as\ small\ as\ possible.}\n\mathrm{Now\ if\ (n+144)=121,\ n=23\ (which\ is\ not\ divisible\ by\ 5).}\n\mathrm{if\ (n+144)=169,\ n=25(which\ is\ divisible\ by\ 5).}

\mathrm{Notice,\ when\ n=25,\ 34+n,\ (n)/(5)\ and\ √(n+144)\ are\ all\ natural\ numbers.}\n\therefore\ \mathrm{n}=25.

What is the GCF of 12x and 44xy

Answers

12x=4x\cdot3\n\n44xy=4x\cdot11y\n\nGCF(12x;\ 44xy)=4x
If we don't know what 'x' and 'y' are, the best we can say is that the GCF is 4x .
But 'x' and 'y' can easily take on values that would change the GCF.

Which of the following expressions has a coefficient of 10 and a constant of 5?10 + 5.3
10 - 5
10x + 5
10 + 5

Answers

We have that

From the expressions

  • 10 + 5.3
  • 10 - 5
  • 10x + 5
  • 10 + 5

The correct expression is

  • 10x + 5
  • Option C

From the question we are told

Which of the following expressions has a coefficient of 10 and a constant of 5?

  • 10 + 5.3
  • 10 - 5
  • 10x + 5
  • 10 + 5

Generally

We Know That the coefficient of an expression precedes the main variable of the expression

While

The Constant is a Number that stands alone

Therefore

From the expressions

  • 10 + 5.3
  • 10 - 5
  • 10x + 5
  • 10 + 5

The correct expression is

  • 10x + 5
  • Option C

For more information on this visit

brainly.com/question/23366835
10x + 5 is the answer.

You have budgeted $850 per month for rent. Your landlord has just informed you that your rent is being raised by 5% now and another 5% on December 1st. What will your rent be at the end of this year?

Answers

Your rent will be $894.63 if u raise it that much

Answer:

$892.50

Step-by-step explanation:

Solve for x. 3x+1/14=2x/8

Answers

it depends if it is
1. 3x+(1/14)=(2x)/8 or
2. (3x+1)/14=(2x)/8

if it is 1

1.
3x+(1/14)=2x/8
simplify 2x/8
2x/8=x/4
3x+(1/14)=x/4
find least common multiple of 14 and 4
factors of 14=2 and 7
factors of 4 are 2 and 2 so LCM=2 times 2 times 7=28
multiply both sides by 28
84x+2=7x
subtract 7x from both sides
77x+2=0
subtract 2 from both sides
77x=-2
divide both sides by 77
x=-2/77


2.
(3x+1)/14=2x/8
simpify 2x/8
2x/8=x/4
(3x+1)/14=x/4
find least common multiple of 14 and 4
factors of 14=2 and 7
factors of 4 are 2 and 2 so LCM=2 times 2 times 7=28
multiply both sides by 28
(2)(3x+1)=7x
distribute
6x+2=7x
subtract 6x from both sides
2=x

What number should both sides of the following equation be divided by to solve for x?(6.4)x = 32

4
6.4
6
5

Answers

In algebraic equations, it is easier to solve for an unknown term when that term is being isolated on one side of the equation. In the given equation, the unknown term "x" is not isolated because it is being multiplied by 6.4. To solve for x, it is essential to divide both sides by 6.4 to isolate x. It is shown as follows:

6.4x = 32

Dividing both sides by 6.4:
(6.4x)/6.4 = 32 / 6.4

x = 5

Therefore, 6.4 should be divided to both sides to solve for x.
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