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Stells [14]
3 years ago
13

Factor this polynomial completely. x^2-81

Mathematics
2 answers:
expeople1 [14]3 years ago
7 0

The answer to your question is (x+9)(x-9)

Step-by-step explanation:

Rewrite 81 as 92

x2−92

Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b)

where a=x and b=9

(x+9)(x−9)

Hope this helped you out:)

ikadub [295]3 years ago
4 0

Answer:

a=x and b=9

(x+9)(x−9)

Explanation:

Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b)

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Which function g represents the exponential function f(x) = 5x after a vertical stretch by a factor of 2 and a reflection across
irinina [24]

Answer:

g(x) = -2 • 5^x

Step-by-step explanation:

the reflection across the x-axis makes the equation negative. the 2 is the verticals stretch.

(also got the answer correct on a test)

7 0
3 years ago
A train travels train travels 288 kilometre at a uniform speed. If the speed had been 4 kilometre per hour more it would have ta
kiruha [24]

Answer:

Let the speed of the train be x km/h.

Case 1:

Distance = 288 km

Speed = x km/h

Time = Distance/Speed

= 288/x h

Case 2:

Distance = 288 km

Speed = (x+4) km/h

Time = 288/x + 4 h

Since 288/x > 288/x + 4

288/x - 288/x+4 = 1

288[1/x - 1/x+4 ] = 1

[ x + 4 - x / x(x + 4) ] = 1/288

[4 / x^2 + 4x ] = 1/288

x^2 + 4x = 1152

x^2 + 4x - 1152 = 0

x^2 + 36x - 32x - 1152 = 0

x(x + 36) - 32(x + 36) = 0

(x + 36)(x - 32) = 0

x + 36 = 0 , x - 32 = 0

x = -36 , x = 32

x = -36 , rejected since speed cannot be negative.

Therefore , speed of the train = 32 km/h

4 0
3 years ago
A cylindrical oil tank 8 ft deep holds 620 gallons when filled to capacity. How many gallons remain in the tank when the depth o
vekshin1

Answer:

  271.25 gal

Step-by-step explanation:

Assuming the tank is oriented so that the quantity of oil is proportional to depth, the amount remaining is ...

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6 0
3 years ago
Read 2 more answers
The graph of F(x) , shown below, has the same shape as the graph of G(x) = x ^ 2 , but it is shifted up 4 units and to the right
Novosadov [1.4K]

Answer:

A

Step-by-step explanation:

To translate a graph right you -3 from x. To translate a graph up you +4.

4 0
3 years ago
1 year = how many seconds? Last question in my h.w and idk how to do it:/
Novay_Z [31]
This should help
60 sec = 1min
60min = 1 hour
24hour = 1day
7 days = 1 week
around 4.3 weeks = 1month
12 months = 1 year

or you could use 365 days and times that by 24 than times that by 60 to get mins and again by 60 to get seconds.

hope this helps 
5 0
3 years ago
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