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2 years ago

14

What is a geometric sequence and arithmetic sequence? ~MUST EXPLAIN~

1 answer:

Vadim26 [7]2 years ago

6 0

A geometric sequence is one that involves addition or subtraction. One example would be "In an auditorium, the 1st row has 25 seats. The 2nd has 30. The 3rd has 35. How many does the 4th have? Take the formula, x + 5. All you do is simply add 5.

An arithmetic sequence is one that involves multiplication or division. For example, "Jon receives 5 dollars each week. If he waits for 5 months, how much money will he have? Honestly, all you have to do is think about the formula. x * 5. x would be the number of weeks.

I know my answer is not as good as the verified one, but it is simpler and easier to understand. I apologize if it isn't good enough.

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. Which ordered pairs in the form (x, y) are solutions to the equation 7x – 5y = 28?

Brut [27]

we know that

If a ordered pair (x,y) is a solution of the equation, then the ordered pair must satisfy the equation

we have the equation

$7x-5y=28$

Let's verify all the cases to determine the solution to the problem.

<u>case A)</u> point $(-6,-14)$

Substitute the values of x and y in the equation

$x=-6\\y=-14$

$7(-6)-5(-14)=28$

$-42+70=28$

$28=28$ -------> is true

therefore

The point $(-6,-14)$ is a solution of the equation

<u>case B)</u> point $(-1,-7)$

Substitute the values of x and y in the equation

$x=-1\\y=-7$

$7(-1)-5(-7)=28$

$-7+35=28$

$28=28$ -------> is true

therefore

The point $(-1,-7)$ is a solution of the equation

<u>case C)</u> point $(4,10)$

Substitute the values of x and y in the equation

$x=4\\y=10$

$7(4)-5(10)=28$

$28-50=28$

$-22=28$ -------> is not true

therefore

The point $(4,10)$ is not a solution of the equation

<u>case D)</u> point $(7,9)$

Substitute the values of x and y in the equation

$x=7\\y=9$

$7(7)-5(9)=28$

$49-45=28$

$4=28$ -------> is not true

therefore

The point $(7,9)$ is not a solution of the equation

therefore

<u>the answer is </u>

$(-6,-14)$

$(-1,-7)$

8 0

3 years ago

Read 2 more answers

Gilbert and Brian drove 604 miles in 11.6 hours. Gilbert drove the first part of the trip and averaged 45 miles per hour. Brian

AVprozaik [17]

The length of hours Gilbert drove is 7.5 hours.

The length of hours Brian drove is 4.1 hours.

<u>Step-by-step explanation</u>:

Gilbert averaged = 45 miles per hour
Brain averaged = 65 miles per hour
Total hours = 11.6 hours
Total distance = 604 miles

Let 'x' be the hours Gilbert drove.

Let 'y' be the hours Brian drove.

x+y = 11.6 -----(1)

45x+65y = 604 -----(2)

Multiply (1) by 45 and subtract (2) from (1)

45x+45y = 522

-(<u>45x+65y = 604</u>)

<u> -20y = -82 </u>

y = 82/20

y = 4.1 hours

The length of hours Brian drove = 4.1 hours

Substitute y=4.1 in (1)

x+4.1 = 11.6

x = 7.5 hours

The length of hours Gilbert drove = 7.5 hours

3 0

3 years ago

Philip's family traveled 3/10 of the distance to his grandmother's house on saturday. They traveled 4/7 of the remaining distanc

Nataly [62]

Okay do 4*10 and 7*10 (you get 40/70) and then do 3*7 and 10*7 (so now you've got 21/70) then add 21/70+40/70 and that's the total distance

6 0

3 years ago

Read 2 more answers

Simplify 3x + 6x^2 - 5x - x^2

just olya [345]

Answer: -2x + 5x^2

Step-by-step explanation:

3x + 6x^2 - 5x - x^2 = x(3-5) + x^2(6-1) = -2x + 5x^2

8 0

2 years ago

Read 2 more answers

Simplify (√-2+√-5)(-√-2-5√-5).Please

AysviL [449]

In the second parenthesis is the -2 and -5 inside the house or is -5 separate

3 0

2 years ago