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omeli [17]
4 years ago
14

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

Mathematics
2 answers:
inysia [295]4 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]4 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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motikmotik

Answer:

0.8594

Step-by-step explanation:

Let a denote the event of forgetting to shut off machine and b be the event of being defective.

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P(a \ and \ b)=0.55\times 0.15\\\\=0.0825\\\\

P(a and ~b)=0.55(1-0.15)=0.4675

P(~a and b) = (1-0.55)*0.03=0.0135

P(~a and ~b) = (1-0.55)*(1-0.03)=0.4365

#Conditional probability is defined as:

P(a|b)=\frac{P(a \ and\  b)}{P(a)}\\\\=\frac{P(a \ and \ b)}{[(P(a \ and \ b)+P(\~a \ and \ b)}\\\\\\=\frac{0.0825}{0.0825+0.0135}\\\\\\=0.8594

Hence,  the probability that the foreman forgot to shut off the machine the previous night is 0.8594

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3 years ago
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in 1930 the average cost for a gallon of gasoline was $0.25. in 2007 the average cost for a gallon of gasoline is $2.60 what is
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Hello! The first thing to do is to find the amount of change by subtracting both numbers. 2.60 - 0.25 is 2.35. Now, we set up a proportion by doing change/original = x/100. With the values plugged in, it would be written like this: 2.35/0.25 = x/100. Cross multiply the values in the proportion. When you do, you get 235 = 0.25x. Now, divide each side by 0.25 to isolate the "x". When you do that, x = 940. The price of gas has gone up 940% since 1930.
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3 years ago
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Aloiza [94]

Answer:

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