So what u do is multiply let me attach something
Answer:
4cos4x
Step-by-step explanation:
let's use cos
amplitude=4
period=pi/2
2pi/x=pi/2
x=4
no phase shift
y=4cos4x
pic from desmos
Andre is 3.8 miles away from his house.
<h3>What is mathematical expression?</h3>
Expression or mathematical expression serves as the combination of symbols which is been formed base on rules that depend on the context.
First trail he hiked took him 4 1/2 miles = 4.5 miles
Second trail he hiked took him 2 4/10 closer to his house= -2.4
Third trail he hiked took him 1 7/10 miles further away from his house =1.7
we can write the expression as (4.5 - 2.4 + 1.7)
= 3.8
Therefore, Andre is 3.8 miles away from his house.
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Answer:
the average number of car(s) in the system is 1
Step-by-step explanation:
Given the data in the question;
Arrival rate; λ = 2.5 cars per hour
Service time; μ = 5 cars per hour
Since Arrivals follows Poisson probability distribution and service times follows exponential probability distribution.
Lq = λ² / [ μ( μ - λ ) ]
we substitute
Lq = (2.5)² / [ 5( 5 - 2.5 ) ]
Lq = 6.25 / [ 5 × 2.5 ]
Lq = 6.25 / 12.5
Lq = 0.5
Now, to get the average number of cars in the system, we say;
L = Lq + ( λ / μ )
we substitute
L = 0.5 + ( 2.5 / 5 )
L = 0.5 + 0.5
L = 1
Therefore, the average number of car(s) in the system is 1
The solutions are given below:
1. 3y- 9 = 2x
2. 2/3.
3. y/x
4. y = (2/3)x + 3
<h3>What is equation of line?</h3>
The equation of a line with one given point (x1, y1) is (y - y1) = m(x - x1). Here m is the slope of the line.
The complete question is:
On a coordinate plane, a line goes through (0, 3) and (x, y). A triangle has a rise of 2 and run of 3. A larger triangle has a rise of 5 and run of 7.
Use similar triangles to determine the equation of the line with a slope of 2/3 that passes through the point (0, 3).
What is the ratio of the rise to the run in the smaller triangle in the diagram?
What is the ratio of the rise to the run in the larger triangle in the diagram?
What is the equation of the line in slope-intercept form?
1. slope= 2/3
coordinates= (0, 3)
y-y1 = m(x-x1)
y-3 = 2/3(x-0)
y-3 = 2/3x
3y- 9 = 2x
2. The ratio of the rise to the run in the smaller triangle in the diagram
is y/x = 2/3
3. The ratio of the rise to the run in the larger triangle = y/x
4. The equation of the line in slope-intercept form is given by:
y = (2/3)x + 3
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