The scale indicates that 2.5cm/0.00001mm = 1, and due to the multiplicative identity property, you can multiply anything in an equation by one, so you would do (7cm)(0.00001mm/2.5cm) = 0.000028
The linear equation that passes through the points (0, 3) and (-4, 0) is:
y = (3/4)*x + 3
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How to find the linear equation?</h3>
A general linear equation in the slope-intercept form is written as:
y = m*x + b
Where y and x are the variables, m is the slope, and b is the y-intercept.
Here we know that the y-intercept is (0, 3), then we have b = 3, replacing that in the equation above we will get:
y = m*x + 3
Now we also know that the line passes through the point (-4, 0), replacing these values in the equation above we can find the value of the slope:
0 = m*-4 + 3
m*4 = 3
m = 3/4
Then the linear equation is:
y = (3/4)*x + 3
Learn more about linear equations.
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You would answer this question using simultaneous equations, so if m is movies and v is video games, then:
9m + 7v = 65
3m + 5v = 37
9m + 7v = 65
9m + 15v = 111
(minus)
-8v = -46
÷ -8
v = $5.75
Then you can substitute the value of V in to find the value of m, so:
3m + (5 × 5.75) = 37
3m + 28.75 = 37
- 28.75
3m = 8.25
÷ 3
m = 2.75
So you get the answers as Video Games are $5.75 each and Movies are $2.75 each, I hope this helps!
1 is not a linear function because it’s not a straight line since it curves as u can see
NOTES: Find the common factor of the terms and factor it out:
1. Answer: 15r²(3r - 1)
<u>Step-by-step explanation:</u>
45r³ - 15r² <em>they both have 15 and r² as factors</em>
= 15r²(3r - 1)
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2. Answer: 3x(3x - 1)
<u>Step-by-step explanation:</u>
9x² - 3x <em>they both have 13 and x as factors</em>
= 3x (3x - 1)
************************************************************************************
3. Answer: x(x + 3)
<u>Step-by-step explanation:</u>
x² + 3x <em>they both have x as a factor</em>
= x(x + 3)