Answer:
The equation of line passing through points (1 , 0) is x - 5 y - 1 = 0
Step-by-step explanation:
Given equation of line as
x + 5 y = 30
Now, equation of line in standard form is y = m x + c
where m is the slope
So, x + 5 y = 30
Or, 5 y = - x + 30
Or, y = - x + 6
So, Slope of this line m = -
Again , let the slope of other line passing through point (1 , 0) is M
And Both lines are perpendicular , So , products of line = - 1
i.e m × M = - 1
Or, M = -
Or, M = - 1 × - =
So, equation of line with slope M and points (1, 0) is
y - = M × (x - )
Or, y - ( 0 ) = × ( x - 1 )
Or, y = x - × 1
Or, y = x -
or, y + = x
Or, 5×y + 1 = x
∴ 5 y + 1 = x
I.e x - 5 y - 1 = 0
Hence The equation of line passing through points (1 , 0) is x - 5 y - 1 = 0 Answer
Answer:
Step-by-step explanation:
1. asks you to add the two functions and , which would be
Simplify the like-terms and you get:
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2. asks you to multiply the two functions and , which would be
In order to multiply the functions we use the FOIL method (for polynomials):
Multiply each term and you get:
Simplify the like-terms and you get:
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3. asks for your ability to understand what composite functions are. In order to solve this, we will follow some careful steps and solve them separately.
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Now that we have both values, we can just subtract them:
Theres about a 7,200,000 difference between household dogs vs household cats
The answer is -72. I added an attachment below for the steps.
Answer:
Without any studying, the score would be about 328
Step-by-step explanation:
The y-intercept of an equation represents the point where its graph crosses the y-axis. At this point the value of x is always equal to 0.
The y-intercept of the equation in this context would represent the Math SAT score of a student who did not do any studying, that is the number of hours spent studying, x = 0.
Substitute x = 0 in the given equation and solve for y;
y = 24.387(0) + 328.182
y = 328.182
Therefore, Without any studying, the score would be about 328