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omeli [17]
3 years ago
14

Find the slope of each function and determine which has the steeper slope.

Mathematics
2 answers:
inysia [295]3 years ago
8 0
Function 1:
x-intercept: (3,0) → a=3
y-intercept: (0,4) → b=4
Slope: m1=?

m=-b/a
m1=-4/3

Function 2:
Point 1: P1=(0,5)=(x1,y1) → x1=0, y1=5
Point 2: P2=(4,8)=(x2,y2) → x2=4, y2=8
Slope: m2=?

m=(y2-y1)/(x2-x1)
m2=(8-5)/(4-0)
m2=3/4

Absolute value (m1)=Absolute value(-4/3)=4/3=1.33
Absolute value (m2)=Absolute value(3/4)=3/4=0.75

Absolute value (m1)=1.33 > 0.75=Abslute value (m2)

Answer: Fourth option: Function 1 has a steeper slope of -4/3 


statuscvo [17]3 years ago
4 0
Function 1 has a slope of 4/3 and Function 2 has a slope of 3/4. This means that Function 1 would be steeper because it goes four units down and 3 units right while Function 2 would be steeper but fall slower because it goes 3 units down and is stretched out more to the right because it goes 4 units to the right making Function 1's line steeper.
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Step-by-step explanation:

Let " l " be the length of the rope and " θ " the angle at which it is raised. In other words:

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Find the 75th term of the following arithmetic sequence.<br> 6, 11, 16, 21,
katrin [286]

Answer:

The 75th term in the sequence is 16

Step-by-step explanation:

The 75th term of a sequence can be considered as the term that is in the position at 75% along the sequence. This is assuming that the sequence has been sorted already from lowest value to highest value

In this sequence, which has 4 terms, we can find the 75th term by finding what term is at 75% (or three-quarters) along the sequence.

To find the 75th term:

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Then, we find the value of the term that is at position 3 from the left (lowest number)

In this case, the term that is at the 3rd position from the left is 16

Thus, the 75th term in the sequence is 16

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