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sdas [7]
3 years ago
5

1. A teacher asked the students to create a formula for the sequence 5, 8, 11, 14, ...

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
5 0

Good evening ,

Answer:

Is his formula correct and how do you know : <em>Yes</em>

Is it an explicit or recursive formula : <em>explicit </em>

Step-by-step explanation:

an = a1 + (n-1)r

a1 = 5

r = 8-5 = 3

Then an = 5 + 3(n-1).

:)

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What is the solution for x in the equation -4+5x-7=10+3x-2x in a fraction
Alex

Answer:

x = 21/4

Step-by-step explanation:

re-arrange the equation

-4+5x-7-3x = 10-2x (move 3x to the other side)

-4+5x-7-3x+2x = 10 (move 2x to the other side)

5x-7-3x+2x = 10+4 (move 4 to the other side)

5x-3x+2x = 10+4+7 (move 7 to the other side)

4x = 21 (add up both sides)

x = 21/4 (divide both sides by 4

5 0
4 years ago
Which is an equation of the line that passes through<br> the points (5, 2) and (10, -3)?
sashaice [31]

Answer:

y = -x + 7

Step-by-step explanation:

Hi there!

We are given the following points:
(5,2) and (10,-3)

We want to find the equation of the line that passes through these 2 points

There are 3 ways to write the equation of the line, yet the most common way is slope-intercept form, which is y=mx+b (m is the slope and b is the y intercept).

First, let's find the slope of the line.

The slope can be calculated from 2 points using the equation \frac{y_2-y_1}{x_2-x_1}, where (x_1, y_1) and (x_2, y_2) are points

We have everything we need to find the slope, but let's label the values of the points to avoid confusion and mistakes.

x_1=5\\y_1=2\\x_2=10\\y_2=-3

Now substitute these values into the formula to find the slope

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{-3-2}{10-5}

Simplify

m=\frac{-5}{5}

Divide

m=-1

The slope of the line is -1

We can substitute this value as m in y=mx+b.

Here's the equation of our line so far:

y=-x+b

Now we need to find b

As the equation passes through the points (5,2) and (10,-3), we can use either point to find the value of b

Taking (5,2) for example:

Substitute 5 as x and 2 as y

2=-5+b

Add 5 to both sides

7=b

Substitute 7 as b in the equation

y = -x + 7

Hope this helps!

See more on this topic here: brainly.com/question/27166723

4 0
2 years ago
The missing probability value for dr Green
max2010maxim [7]

Answer:

<h2>Your answer would be <em><u>0.34</u></em></h2>

Step-by-step explanation:

first we add them altogether:

0.25+0.17+0.21+0.03 = 0.66

than we subtact the 0.66 from the whole (1) =

<u>1-0.66= 0.34</u>

4 0
2 years ago
Review the function equation below.
Anton [14]
Y = mx + b
b is y intercept
Solution: y intercept is 3
7 0
3 years ago
What is the percent of change for 156 minutes to 70 minutes
s344n2d4d5 [400]
156 - 70 = 86 minute change

86 / 156 = 0.55 = 55% percent decrease
4 0
4 years ago
Read 2 more answers
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