Which of the following shows the graph of y = 4x + 3?
2 answers:
The given equation is y = 4x + 3.
Comparing it with slope-intercept form of line i.e. y = mx + b.
Slope of the line is m = 4.
Y-intercept of the line is b = 3.
This is a straight line graph going upward from left to right direction with rise-over-run as 4 over 1 and passing through (0, 3) on y-axis.
Its graph would look like as follows :-
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Answer:
a) linear
b) nonlinear
c) nonlinear
d) nonlinear
Step-by-step explanation:
For a linear equation the highest degree is 1. If the degree is more than 1, then it is a non-linear equation.
a) 7x=y-4 is a linear equation because the highest degree is one
b)
is not a linear equation because when we multiply through by x, we get
The degree is 2
c) 6xy +3x=2 is non linear because the degree is 2.
d) x=2y³ +y is non-linear be because the degree is 3.
Answer:
7.5 days.
Step-by-step explanation:
Let t represent time taken by Nick in days to paint the house alone.
Part of house painted by Nick in 1 day would be .
We have been given that Brad paints a house in 5 days, so part of house painted by Brad in 1 day would be .
We are also told that when Brad's brother Nick joins him, they can paint a house in 3 days. So part of house painted by both Brad and Nick together in 1 day would be .
Now, we will equate sum of work done by both brothers with to solve for t as:
Therefore, it will take 7.5 days for the Nick to paint the house alone.