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3 years ago

What is the slope intercept form of the equation of the line through the point 1,1 with a slope of 3

1 answer:

4 0

The standard slope-int form is y=mx+b. If you know this, you can apply it to this question, which will give you an equation of y=3x-2

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Svetlanka [38]

Answer:

(a) $Sequence: -1, 1, 3$

(b) nth term: $T_n = 4+ 5n$

Step-by-step explanation:

Solving (a)

Given

$T_n = 2n - 3$

The first 3 terms.

When n = 1

$T_1 = 2*1 - 3$

$T_1 = 2 - 3$

$T_1 = -1$

When n = 2

$T_2 = 2*2 - 3$

$T_2 = 4 - 3$

$T_2 = 1$

When n = 3

$T_3 = 3*2 - 3$

$T_3 = 6 - 3$

$T_3= 3$

So, the first three terms are:

$Sequence: -1, 1, 3$

Solving (b)

Given

$Sequence: 9,14,19,24$

Required

The nth term

The sequence is arithmetic.

So, first calculate the common difference (d)

$d = 14 - 9$

$d = 5$

The nth term is then calculated as:

$T_n = a + (n - 1) * d$

Where

$a =First\ term$

So:

$a = 9$ and $d = 5$

$T_n = 9 + (n - 1) * 5$

$T_n = 9 + 5n - 5$

Collect like terms

$T_n = 9 - 5+ 5n$

$T_n = 4+ 5n$

6 0

3 years ago

Brainly if correct

12345 [234]

Answer:

First you add all of the results together for a sum of 243. Then, you divide that sum, 243 by 10, the number of results in total. That means the average weight of 10 random raccoons out of 150 raccoons in that wildlife preserve, is 24.3 pounds. Her statement is not reasonable because Jean stated the average weight of ALL raccoons is 25 pounds.

Step-by-step explanation:

hope this helps :)

8 0

3 years ago

Read 2 more answers

Cos (x-<img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D" id="TexFormula1" title="\frac{5}{6}" alt="\frac{5}{6}" align="ab

Degger [83]

Answer:

Solution given;

Cos (x- $\frac{5}{6}$ )= $\frac{\sqrt{2} }{2}$