Answer:
a) For a constant increment in x-variable, there is a constant increment in y-variable, for example, for x = 0 to x = 0.5 (increment = 0.5) y-variable goes from 60 to 62 (increment = 2); the same is valid for any couple of (x,y) values. This behaviour is characteristic of linear equations.
b) slope:
m = (increment in y-variable)/(increment in x-variable) = 2/0.5 = 4
y-intercept:
y1 = m*x1 + h
60 = 4*0 + h
60 = h
equation: y = 4x + 60
where y represents scores and x represents hours spent studying
c) The slope indicates that you need to study 1 hour to increase your score in 4 points
The y-intercept indicates that you will get at least a score of 60, even though you hadn't studied
Answer:
<em>Proof below</em>
Step-by-step explanation:
<u>Algebraic Manipulation</u>
It refers to the process of modifying algebraic expressions, often into a simpler form or more easily handled and dealt with.
It also helps us to prove some identities.
We are given the relations:
a + m = n
n = 4a
Substituting the last equation in the first, we have:
a + m = 4a
Subtracting a on both sides of the equation:
m = 4a - a
Simplifying:
m = 3a
Hence proved
Perimeter: 2 1/8 + 3 1/2 + 2 1/2 = 7 (1 + 4 + 4)/8 = 7 9/8 = 8 1/8
Hope this will help you!
A = 1
b = -2
c = -3
And when you plug in and solve you'll get correct answers of x = 3 and x = -1
