Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
The equation of a line in point slope form is
we have
substitute
The easiest way to graph a line is to calculate the intercepts
The<u><em> x-intercept </em></u>is the value of x when the value of y is equal to zero
For y=0
The x-intercept is the point (-6,0)
The <u><em>y-intercept</em></u> is the value of y when the value of x is equal to zero
For x=0
The y-intercept is the point (0,1.5)
Plot the intercepts and join the points to graph the line
(-6,0) and (0,1.5)
The graph in the attached figure
Using a linear function, it is found that the product rs is rs = 81.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, when x changes by 68(from -64 to 68), y changes by -16(from 12 to -4), hence the slope is given by:
m = -16/64 = -0.25.
Hence:
y = -0.25x + b.
When x = 34, y = -4, hence this is used to find b.
-4 = -0.25(34) + b
b = 4.5.
Hence the function is:
y = -0.25x + 4.5.
f(r) = 0, hence:
-0.25x + 4.5 = 0
x = 4.5/0.25
x = 18
r = 18.
f (0) = s, hence s = 4.5.
Then the value of the product is:
rs = 18 x 4.5 = 81.
More can be learned about linear functions at brainly.com/question/24808124
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In a flowchart proof, <u>statements</u> and <u>conclusions</u> are connected with arrows.
In terms of mathematics, a statement is simply any sentence in which it can be verifiably true or false. A statement cannot be a subjective opinion. It must be an objective fact and there must not be any ambiguity involved. A conclusion is also a statement that derives from the first statement made.
As an example, you can have the simple argument "if it rains, then it gets wet outside". So the box on the left would be "it rains" and the box on the right would be "it gets wet outside". An arrow connecting the two shows the logical flow of how the argument is set up.
See the diagram below.
Side note: the box on the left is also considered the antecedent because it comes before the conclusion.
Hey there!!
Let's take the number as x and y
Given,
The sum of x and y = 12
One number is 2 more than the other
Let's take y = x + 2
Equations
x + y = 12
As we know y = x + 2 , plug the value in
x + x + 2 = 12
2x + 2 = 12
Subtract 2 on both sides
2x = 10
Divide by 5 on both sides
x = 5
y = 2 + x
y = 7
The numbers are 5 and 7
Hope my answer helps!
