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Jet001 [13]
4 years ago
15

F(x)=x^3-3x^2-x+3 Factor each by grouping

Mathematics
1 answer:
Lelechka [254]4 years ago
7 0

Answer:

F(x) = (x - 3) (x + 1) (x - 1)

Step-by-step explanation:

F(x)=x³-3x²-x+3 = x² (x - 3) - (x - 3) = (x - 3) (x² - 1) = (x - 3) (x + 1) (x - 1)

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Given a polynomial function f(x), describe the effects on the y-intercept, regions where the graph is increasing and decreasing,
masha68 [24]

Answer:

f(x) - 3 is translated 3 units down and -2*f(x) is reflected across x-axis.

Step-by-step explanation:

We have, f(x) becomes f(x) - 3.

The y-intercept of f(x) is f(0), this implies y-intercept of f(x) -3 is f(0) - 3. This means that the graph of f(x) is translated 3 units down.

Next, we have f(x) becomes -2*f(x).

The y-intercept of -2*f(x) is -2*f(0) and it means that first the graph of f(x) is stretched horizontally by 2 units and then reflected across x-axis.

As, the function f(x) is multiplied by 2, this implies that resultant function -2*f(x) will be an even function and its graph will be symmetric about y-axis.

Moreover, the function -2*f(x) increases wherever f(x) decreases and vice-versa.

7 0
4 years ago
Read 2 more answers
In an 8 hour and 30 minute shift a patrolman drove 272 miles. What was his average rate(mph) during the shift?
uysha [10]

Answer:

32 mph

Step-by-step explanation:

We want to find the patrolman's rate in miles per hour during the shift. Since we want to find miles per hour, we must divide the miles he drove by the number of hours.

rate = miles / hours

He drove 272 miles.

rate = 272 miles / hours

He drove for 8 hours and 30 minutes. There are 60 minutes in 1 hour. One half of 60 is 30. Therefore, we can also say he drove eight and a half, or 8.5 hours.

rate= 272 miles / 8.5 hours

rate = 32 miles / hour

rate= 32 mph

His average rate during the shift was 32 miles per hour.

3 0
3 years ago
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Whats they answer for they question 10+20
Olegator [25]

Answer:

30

Step-by-step explanation:

jk it's 19

7 0
3 years ago
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Amelie rode her bike for 80 minutes. Amelie rode her bike 5 times as long as Raj. How long did Raj ride his bike?
Vilka [71]
80 • 5 (80, 5 times)

80
80
80
80
+__
160+160=320 minutes
3 0
3 years ago
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Ron walks 22.5 in 5 hours finds his speed<br>​
Lostsunrise [7]

Answer:

his speed would be 4.5 miles per hour

Step-by-step explanation:

if you do the distance divided by the hours you will get the answer.

  22.5/5=4.5

7 0
3 years ago
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