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11Alexandr11 [23.1K]
2 years ago
8

Given the following f(x) = 3x² + 7x³ + 8x^4; g(x) = -3x + 12x² - 5x³; and h(x) = 12x +

Mathematics
1 answer:
never [62]2 years ago
6 0

The value of the function (f.h)(x) is 96x⁵ + 132x⁴ + 78x³ + 18x²

<h3>How to solve function?</h3>

f(x) = 3x² + 4x³ + 8x⁴

g(x) = -3x + 12x² - 5x³

h(x) = 12x + 6

Therefore,

(f.h)(x) = f(x).h(x)

Hence,

f(x).h(x) = (3x² + 7x³ + 8x⁴)(12x + 6)

f(x).h(x) = 36x³ + 18x² + 84x⁴ + 42x³ + 96x⁵ + 48x⁴

(f.h)(x) = 96x⁵ + 84x⁴ + 48x⁴ +  36x³ + 42x³ + 18x²

(f.h)(x) =  96x⁵ + 132x⁴ + 78x³ + 18x²

learn more on function here: brainly.com/question/7783704

#SPJ1

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For the past 15 months, Frank recorded the cost of his monthly home heating bill and the corresponding average monthly temperatu
leonid [27]

The scatter plot shows that the heating bill will be about $95 for an average monthly temperature of 40°F.

<h3>What is a scatter plot?</h3>

It should be noted that a scatter plot uses dots to represent values for different numeric variables. In this case, the position of each dot on the horizontal and vertical axis shows the values for an individual data point.

From the complete question, the graph attached shows that the heating bill will be about $95 for an average monthly temperature of 40°F.

In conclusion, scatter plots are used to observe the relationships between variables.

Learn more about scatter plots on:

brainly.com/question/6592115

3 0
2 years ago
You get a 27% discount on a sweater that is $18 sales tax is 8.4% how much is it after text total cost
Oduvanchick [21]

Answer:

27/100×18=4.86

8.4/100×18=1.512

total is 6.372

4 0
4 years ago
-11× (-4) =___<br><br> 44 2/15<br><br> - 44 2/15<br><br> - 49<br><br> 49
pantera1 [17]

Answer:

44

Step-by-step explanation:

-×-=+

11×4=44

so it's equal to =+44

3 0
3 years ago
60 students study a language at a school.
nirvana33 [79]

The answer will be that out of 36 boys 24 speak french and 12 speak german and out of 24 girls 16 speak french and 8 speak german.

<h3>What is the frequency tree?</h3>

In the question we have that there are 60 students in total out of which 36 are boys:

So number of the girls will be = 60-36=24

Now if 2/3 of the boys speak french the number of the boys who speak french will be = (2÷3)x36=24

Now the number of the boys who speak german will be =36-24=12

Now since 40 students study french so we have the number of the boys who speak french is 24. so the number if the girls who speak french will be =40-24=16

Since there are 24 girls in total and out of them 16 speak french so the remaining girls speak german=24-16=8

Hence answer will be that out of 36 boys 24 speak french and 12 speak german and out of 24 girls 16 speak french and 8 speak german.

To know more about the Frequency tree follow

brainly.com/question/27562195

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6 0
2 years ago
Solve for x.<br><br> 4x = <br> 3<br> 8
gayaneshka [121]

Answer:

Step-by-step explanation:

4x = 38

x= 38/ 4

x = 9 1/2

4 0
3 years ago
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