3 years ago

What is the purpose of a rebuttal?

Mathematics

1 answer:

hichkok12 [17]3 years ago

5 0

It’s a way in which you anticipate and refute possible arguments against your thesis

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Complete the point-slope equation of the line through ( − 5 , 4 ) (−5,4)left parenthesis, minus, 5, comma, 4, right parenthesis

Tanzania [10]

The point slope form of equation through given points is:

$y-6=\frac{1}{3}(x-1)$

Step-by-step explanation:

Given points are:

(x1,y1) = (-5,4)

(x2,y2) = ((1,6)

First of all we have to find the slope of line

So,

$m=\frac{y_2-y_1}{x_2-x_1}\\=\frac{6-4}{1+5}\\=\frac{2}{6}\\=\frac{1}{3}$

Point-slope form is given by:

$y-y_1=m(x-x_1)$

Putting m=1/3

$y-y_1=\frac{1}{3}(x-x_1)$

Putting (1,6) in the equation

$y-6=\frac{1}{3}(x-1)$

The point slope form of equation through given points is:

$y-6=\frac{1}{3}(x-1)$

Keywords: Point slope form

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3 years ago

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4 years ago

The equation c= 0.25n can be used to find the cost (c) of buying n number of apples.

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Answer:

(a) The constant of proportionality is 0.25

(b) 1 apple = $0.25

Step-by-step explanation:

Given

$c= 0.25n$

Solving (a): The constant of proportionality;

For an equation:

$c=kn$

Where

k = constant of proportionality

By comparing: $c=kn$ to $c= 0.25n$

$k = 0.25$

Hence, the constant of proportionality is 0.25

Solving (b): What information does $k = 0.25$ gives.

It represents the unit rate.

<em>So, it means that 1 apple costs $0.25</em>

Solving (c): Number of apples for $3.

This means that $c = 3$

Substitute 3 for c in $c= 0.25n$

$3 = 0.25n$

Make n the subject

$n = \frac{3}{0.25}$

$n = 12$

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3 years ago