Answer:
The chances it will rain two days in a row is 12%
Step-by-step explanation:
The forecast calls for a 30% chance of snow today
So, chance of snowfall today = 30% = 0.3
A 40% chance of snow tomorrow.
So, chance of snowfall tomorrow= 40% = 0.4
The chances it will rain two days in a row = 
=
So, percent it will rain two days in a row = 
Hence the chances it will rain two days in a row is 12%
Equation of line parallel to y = -0.75x that passes through (8,0) is: y = -0.75x-6
Step-by-step explanation:
Given equation of line is:

The coefficient of x is the slope of the line so the slope of given line is: -0.75
As parallel lines have equal slopes so the required equation of line will have the same slope.
The slope-intercept form is:

Putting the value of the slope

To find the value of b, putting the point in the equation

Putting the values of m and b, we get

Hence,
Equation of line parallel to y = -0.75x that passes through (8,0) is: y = -0.75x-6
Keywords: Equation of line, Slope-intercept form
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Answer:
The grade for path a is 257.1428571%
The grade for path b is 213.5%
Step-by-step explanation:
To find the grade of a slope, you take the rise over run then you multiply by 100.
Answer:
Option D.
Step-by-step explanation:
The vertex form of an absolute function is
where, a is a constant, (h,k) is vertex.
It is given that, vertex of an absolute function is (2,3). So, h=2 and k=3.
...(1)
It crosses the x-axis at (5,0). So put x=5 and y=0 to find the value of a.
Put a=-1 in (1).
Now, put y=0, to find the equation for this absolute value function when y=0.
Therefore, the correct option is D.
Answer:
Therefore the solution set is (x , y) = ( 2 , 1 )
Step-by-step explanation:
Given:
...............Equation ( 1 )
...............Equation ( 2 )
...............Equation ( 3 )
To Find:
x = ?
y = ?
Solution:
Using Substitution Method we will have
Substitute above ' y ' Equation 3 in Equation 1 we get

Now Substitute ' x ' in Equation 3 we get

Therefore the solution set is (x , y) = ( 2 , 1 )