Answer:
see the explanation
Step-by-step explanation:
we now that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u><em>and the line passes through the origin</em></u>
In this problem we have
This is the equation of the line in slope intercept form
where
The given equation not represent a proportional relationship, because the line not pass through the origin
In a proportional relationship the value of b (y-intercept) is equal to zero
Answer:
Step-by-step explanation:
1.How to find the longer leg of a 45 45 90 Triangle?
ans : If you know the length of one of the legs of a 45-45-90 triangle, the other leg has the same length. For this triangle, the other leg has a length of 8*sqrt(2) units. The hypotenuse's length can be found by multiplying the leg's length by sqrt(2).
28 miles upstream requires 28/7 = 4 hours.
28 miles downstream requires 28/21 = 4/3 hours, or 1 hour and 20 minutes.
How long does it take him to cover 28 miles?
Apply the distance formula:
d = rt
where
d is distance
r is rate or speed
t is time
21 = t*(r+7) = rt+ 7t
7 = t *(r-7) = rt - 7t
28 = 2rt
14 = rt
21 = rt + 7t
21 = 14 + 7t
7 = 7t
t=1
21 = (r+7)*1 = r+7
r = 14
The speed of the boat is 14 mph. With the current (downstream), the speed is 14+7 = 21 mph, so 21 miles are traveled in 1 hour. Against the current (upstream), the speed is 14-7 = 7 mph, which means 7 miles are traveled in the same 1-hour time frame.
28 miles downstream requires 28/21 = 4/3 hours, or 1 hour and 20 minutes.
28 miles upstream requires 28/7 = 4 hours.
To learn more about sequences refer to:
brainly.com/question/340538
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Answer:
Statement 3
Step-by-step explanation:
y = -2/3x-24
Make x the subject
y + 24 = -(⅔)x
x = -(3/2)(y + 24)
Intersection variables
f^-1(x) = -(3/2)(x + 24)
Slope: -3/2
No domain restrictions
y-intercept: x = 0
-(3/2)(0+24)
-36
(0,-36)
x-intercepts: y = 0
0 = -(3/2)(x + 24)
x = -24
(-24,0)
Linear function, range is all real values of y
Answer:
1.53x−14.23
Step-by-step explanation:
<em>simplify: </em>
5.03x−8.03−(3.5x+6.2)
<em>Distribute the Negative Sign:</em>
=5.03x−8.03−1(3.5x+6.2)
=5.03x−8.03−1(3.5x)+(−1)(6.2)
=5.03x−8.03−3.5x−6.2
<em>Combine Like Terms:</em>
=5.03x−8.03+−3.5x−6.2
=(5.03x−3.5x)+(−8.03−6.2)
=1.53x−14.23
