A pair of shoes usually sell for $63. If the shoes are 40% off, and a sale tax of 7% is allied to discount cost, what is the tot
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Question 1:
The generic equation of the line is given by:
Where,
m: slope of the line
b: cutting point with the y axis
Substituting values we have:
Answer:
an equation for the line with slope 2/3 and y-intercept is:
Question 2:
The standard equation of the line is given by:
Where,
m: slope of the line
(xo, yo): ordered pair that belongs to the line
The slope of the line is:
Substituting values:
We choose an ordered pair:
Substituting values:
Rewriting:
Answer:
An equation in slope-intercept form for the line that passes through the points (1, -3) and (3,1) is:
Question 3:
For this case, since the variation is direct, then we have an equation of the form:
Where,
k: constant of variation.
We then have the following equation:
Rewriting we have:
Therefore, the constate of variation is given by:
Answer:
the constant of variation is:
Question 4:
For this case, since the variation is direct, then we have an equation of the form:
Where,
k: constant of variation.
We must find the constant k, for this we use the following data:
y = 24 when x = 8
Substituting values:
Clearing k we have:
Therefore, the equation is:
Thus, substituting x = 10 we have that the value of y is given by:
Answer:
the value of y when x = 10 is:
The generic equation of the line is given by:
Where,
m: slope of the line
b: cutting point with the y axis
Substituting values we have:
Answer:
an equation for the line with slope 2/3 and y-intercept is:
Question 2:
The standard equation of the line is given by:
Where,
m: slope of the line
(xo, yo): ordered pair that belongs to the line
The slope of the line is:
Substituting values:
We choose an ordered pair:
Substituting values:
Rewriting:
Answer:
An equation in slope-intercept form for the line that passes through the points (1, -3) and (3,1) is:
Question 3:
For this case, since the variation is direct, then we have an equation of the form:
k: constant of variation.
We then have the following equation:
Answer:
the constant of variation is:
Question 4:
For this case, since the variation is direct, then we have an equation of the form:
k: constant of variation.
We must find the constant k, for this we use the following data:
y = 24 when x = 8
Substituting values:
Therefore, the equation is:
the value of y when x = 10 is:
Complete Question
A juggler tosses a bowling pin in the air with an initial velocity of 18 ft per second. It leaves his hand when it is five feet from the ground and he catches it when it is four feet from the ground,How long is the ball in the air?
Answer:
Step-by-step explanation:
From the question we are told that
Initial velocity
Initial Height
Final Height
Generally the Newtons equation for motion is mathematically given by
Where
And
Therefore
Generally the equation for Time is mathematically Given as
Therefore the time spent on air by the ball is