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3 years ago

Find the equation of a line passing through the point (2, 3) and having a slope of 3.

Mathematics

1 answer:

Delvig [45]3 years ago

5 0

Answer:

The answer to your question is the letter B) y = 3x - 3

Step-by-step explanation:

Data

Point = (2, 3)

slope = m = 3

Process

To solve this problem just substitute the values given in the slope-point equation.

Formula

y - y1 = m(x - x1)

x1 = 2 y1 = 3

-Substitution

y - 3 = 3(x - 2)

-Expand

y - 3 = 3x - 6

-Solve for y

y = 3x - 6 + 3

-Result

y = 3x - 3

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Identify a pattern in the given list of numbers. Then use this pattern to find the next number.

Rom4ik [11]

Answer:

The given sequence is geometric sequence

In the given pattern we have next number is $a_5=\frac{1}{4}$

Step-by-step explanation:

Given numbers are 64,-16,4,-1

To identify the pattern of the given numbers :

Let $a_1=64$ , $a_2=-16$ , $a_3=4$ and $a_4=-1$

To find the next number that is $a_5$

common ratio $r=\frac{a_2}{a_1}$

$=\frac{-16}{64}$

$r=-\frac{1}{4}$

$r=\frac{a_3}{a_2}$

$=\frac{4}{-16}$

$r=-\frac{1}{4}$

Therefore the common ration is $r=-\frac{1}{4}$

Therefore the given sequence is geometric sequence

The nth term of the geometric sequence is $a_n=a_1r^{n-1}$

Now find the 5th term so put n=5 , $a_1=64andr=\frac{-1}{4}$ we have

$a_5=64(\frac{-1}{4})^{5-1}$

$=64(\frac{-1}{4})^{4}$

$=64(\frac{1}{4})^{4}$

$=64(\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4})$

$=\frac{1}{4}$

Therefore $a_5=\frac{1}{4}$

8 0

3 years ago

A study is designed to determine whether grades in a statistics course could be improved by offering special review material. Th

mr Goodwill [35]

Answer:

Experimental but not double-blinded study

Step-by-step explanation:

The type of study being described is an Experimental but not double-blinded study. That is because it is a study that has a control group, dependent variable, and an independent variable all used in order to acquire specifically targetted data from the results that are derived from the experiment itself. Also since the scientists/researchers know exactly which lab sections are getting the extra review material (independent variable), then that makes this a non-double-blinded study.

4 0

3 years ago

Which of the following inequalities matches the graph?

Neko [114]

Answer:

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Ruth is making a necklace for a friend . she has 3 different types of clasps, 2 different chains , and 5 different cnarms. if sh

natita [175]

The answer I think is D)30 because they want to know how many she can make so just multiple 5*2*3