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WINSTONCH [101]
2 years ago
11

If f(x)=5x^3 and g(x)=x+1, find (f•g)(x)

Mathematics
1 answer:
alukav5142 [94]2 years ago
5 0

Hello from MrBillDoesMath!

Answer:

5 x^3 + 15 x^2 + 15 x + 5 , none of the provided choices

Discussion:

f(x) = 5 x^3

g(x) = x+ 1  

=>

(f•g)(x) =

f(g(x)) =

f(x+1) =

5 * (x+1)^3 =

5 x^3 + 15 x^2 + 15 x + 5

which is none of the provided answers.

Thank you,

MrB

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According to the world atlas (2010) the population of New York City was 19,750,000, the population of Los Angeles was 15,250,000
andreev551 [17]

19,750,000
15,250,000
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41,945,000 = forty-one nine hundred forty-five thousand

the answer is B

8 0
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Question 5 of 10
Harman [31]

Answer:

D

Step-by-step explanation:

6x + c = k ( isolate the term in x by subtracting c from both sides )

6x = k - c ( isolate x by dividing both sides by 6 )

x = \frac{k-c}{6}

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1 year ago
A freezer has a volume of 54 ft.³ it has a length of 6 feet and a height of 3 feet what is the length of the width of the freeze
gogolik [260]
Ok so let’s see we have L and H but we don’t have the W so to find it we start by multiplying the numbers we do have which is L and H so 6x3=18 know that we did that we tasked the volume number which is 54 and we divide that by 18 so 54➗18 = 3 so our width is 3

Hope this helped :)
3 0
1 year ago
Find the slope of the line through (–9, –10) and (–2, –5). A. –five-sevenths B. seven-fifths C. five-sevenths D. –negative seven
vredina [299]

Answer:

C 5/7

Step-by-step explanation:

We can find the slope of a line using

m = (y2-y1)/(x2-x1)

   = (-5 - -10) /(-2 - -9)

   = (-5 +10)/(-2+9)

   5/7

8 0
3 years ago
From 1990 to 2000, the population of Florida increased by 2.13% per year. The population (in millions) in the year 1990 was 16 E
belka [17]

Answer:

19 million

Step-by-step explanation:

So generally whenever we express a exponential function, it's in the form: y=a(b)^x

where a=initial value aka when x=0

in this case, b can be expressed as: 1+r, where r is the growth rate, which in this case is 2.13%, and expressing that as a decimal (divide by 100), r=0.0213, thus b=1.0213

This gives us the following equation: y=16(1.0213)^x

To kind of give you a intuitive reason as to why this makes sense, think of that 1.0213 wrapping around the previous value.

So when x=0, it's actually just 16, since any number (besides 0) to the power of 0, equals 1.

When x=1, we get: 1.0213(16), which can be expressed as a 2.13% increase from year 0

When x=2, we get: 1.0213(1.0213(16)), which can be expressed as a 2.13% increase from year 1

when x=3, we get: 1.0213(1.0213(1.0213(16))), which can be expressed as a 2.13% increase from year 2.

In other words, each year we're getting another 1.0213 to multiply by (very definition of an exponent).

So to calculate the population in 1997, we put in x=7, since it's 7 years after 1990

We get the following equation: y=16(1.0213)^7

Using a calculator this simplifies to approximately: 18.5436

Rounding this to the nearest integer would yield 19, and since the values are expressed in millions, the answer would be 19 million

4 0
1 year ago
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