Sides of a triangle are of the ratio 2:3:4. If the perimeter of the triangle is 90 cm, what is the area of the triangle?

The function (f·g)(x) is -2x³-8x²and the function (g·f)(x) is -2x³-8x². Therefore, the correct answer is option A.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given functions are f(x)=-2x² and g(x)=x+4.

Now, (f·g)(x)=f(x)×g(x)

= -2x² ×(x+4)

(f·g)(x)= -2x³-8x²

Here, (g·f)(x)=g(x)×f(x)

= (x+4)×(-2x²)

(g·f)(x)= -2x³-8x²

Therefore, option A is the correct answer.

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Answer:

Step-by-step explanation:

f(x) = 8.3x + 8.1

To solve f(x) = 65.37 , equate f(x) to 65.37 and solve for the value of x

That's

8.3x + 8.1 = 65.37

Subtract 8.1 from both sides

That's

8.3x + 8.1 - 8.1 = 65.37 - 8.1

8.3x = 57.27

Divide both sides by 8.3

[tex] \frac{8.3x}{8.3} = \frac{57.27}{8.3} \\ x = 6.896385[/tex]

We have the final answer as

Hope this helps you

Step-by-step explanation:

9868866858566586575765578

Answer: I just did the test so therefore the answer would be 9 hours

Step-by-step explanation: hoped this helped thx for the points :D

Answer:

16in ^2

Step-by-step explanation:

4*4

Answer:

Area of rectangle is 16

Step-by-step explanation:

Area of rectangle = base, 4, times the height, 4

Area of rectangle = 4 times 4

Area of rectangle = 16

Answer:

14x - 6

Step-by-step explanation:

2(5x - 3) + 2(2x)

10x - 6 + 4x

14x - 6

hopefully this helps you :)

pls mark brainlest ;)

Hey there! I'm happy to help!

Let's see what makes 12x^5.

3·2·2·x·x·x·x·x

And for 8x^3...

2·2·2·x·x·x

We see that both of these have two 2s and 3 xs, so our GCF is 2·2·x·x·x which is 4x^3.

Have a wonderful day! :D

Answer:

The answer is -96

Step-by-step explanation:

First, you need to think of the question as a normal multiplication question. When there is a number in parenthesis next to a number with no symbol in between, that means multiplication. So multiply 8 with 12. This would equal 96. Since the sign of the greater number is negative, you would put a negative sign before the number 96, giving you the answer -96.

I hoped that helped! You are welcome! :)

Answer:

b or 80

Step-by-step explanation:

80 is the average number of brown trout in the lake.

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

given, Two samples were taken of fish caught on Small Lake and are shown in the table given.

Total fish were taken in both samples = 9 + 3+ 15 + 11 + 1 + 11

Total fish were taken in both samples = 50

Brown fish in both samples = 3 + 1

Brown fish in both samples = 4

Thus,

the average number of brown trout in the lake = 4/50 * 1000

Since there are 1000 fish in total in the lake

the average number of brown trout in the lake = 80

Therefore,  the average number of brown trout in the lake is 80.

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Complete question:

Answer:b

Step-by-step explanation:8 times 3 is 24 minus 5 is 19. prime numbers are 1 times itself so its B and composite numbers are like four 2 times 2 and 4 times 1.

Answer: B

Step-by-step explanation: When you insert the 3 in place of x, the equation is 8(3)-5 which equals 19. Composite means that numbers can be multiplied to get it. For example, the number 12. You can multiply 3 and 4 or 2 and 6 to get it, making it a composite number. For a number to be prime, the only numbers that can be multiplied to get it is 1 and itself. Let's use the number 3 as an example. The only way you can get 3 by multiplying is by multiplying 1 and 3 (1 and itself as said before). Hope this helps!

Option 2

Step-by-step explanation:

[tex](5,4) = (x_1,y_1) \\ m = \frac{4}{5} [/tex]

Substitute values into the point slope form

y-y1 =m(x-x1)

y- 4= 4/5(x-5)

y -4= 4/5x -4

y= 4/5 x -4+4

y= 4/5x

Answer:

N, which is the increment is 4

Answer:

b=(3x² – 5x – 2)

l=(2x² + 12x - 4)

perimeter= 2(l+b)

=2( 2x² + 12x - 4+3x² – 5x – 2)

=2(5x²+7x-6)

=(10x²+14x-12) units

Hope it helps:-)

Answer:

Y=9

Step-by-step explanation:

Single out the variable, so subtract 3y from both sides.

7y-9-3y=3y+27-3y

4y-9=27

Then move the value to one side, so add 9 to both sides.

4y-9+9=27+9

4y=36

Then divide 36 by 4

4y/4=36/4

y=9

Answer:

The length needed to cut off is 12.55 cm

Step-by-step explanation:

The corrected question is:

you need a piece of paper to measure 64.25 cm. If you tape two together that each measure 38.4 cm, how much do you need to cut off?

Solution:

measurement/length of each paper piece = 38.4 cm

measurement/ length required = 64.25 cm

If length of one paper piece is 38.4 cm then if we tape 2 pieces together then the measurement or length is calculated as:

38.4 + 38.4 = 76.8 cm

So to calculate how much we need to cut off:

length required to cutoff = total length of two pieces - length  required

                                         = 76.8 - 64.25

                                         = 12.55 cm

So the length required to cut off is 12.55 cm

Subtract 12 from both sides

5 - 12 = k/4

Simplify 5 - 12 to -7

-7 = k/4

Multiply both sides by 4

-7 * 4 = k

Simplify -7 * 4 to -28

-28 = k

Switch sides

k = -28

which number is irrational? 25.23 is irrational because 8 is a rational number.

Answer:

None

Step-by-step explanation:

First let's define the meaning of irrational.

It means "no ratio", which is a number that goes on forever without repeating (e.g. pi and the square root of 2)

25.23 is rational and 8 is also rational.

Answer:

rational

Step-by-step explanation:

Answer:

.9274 is a integer

Step-by-step explanation:

rational numbers have to be able to be written as a fraction.

.9274 is not a whole number.

therefore it is an integer.

Answer:

-2/3

Step-by-step explanation:

Step 1:

-1/3 ÷ 1/2

Step 2:

-1/3 × 2/1

Answer:

-2/3

Hope This Helps :)

Answer:

X=8

Step-by-step explanation:

First subtract the read pages with the unread pages which is 168.

Then let 21 pages = to one hour then 168pages(the remaining pages) = x then cross multiply and divide then your answer will be 8

Answer:

Step-by-step explanation:

[tex]81-39\\\\\mathrm{Line\:up\:the\:numbers}\\\begin{matrix}\space\space&8&1\\ -&3&9\end{matrix}\\\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}\\\begin{matrix}\space\space&8&\textbf{1}\\ -&3&\textbf{9}\end{matrix}\\\\\mathrm{The\:bottom\:number\:is\:larger\:than\:the\:upper\:number.\:\:Try\:to\:'borrow'\:a\:digit\:from\:the\:left.}\\\\\mathrm{Borrow\:}1\mathrm{\:from\:}8\mathrm{.\:\:The\:remainder\:is\:}7\\[/tex][tex]\begin{matrix}\space\space&\textbf{7}&10\\ \space\space&\textbf{\linethrough{8}}&1\\ -&\textbf{3}&9\end{matrix}\\\\\mathrm{Add\:}1\mathrm{\:ten\:to\:}1:\quad \:10+1=11\\\begin{matrix}\space\space&7&\textbf{11}\\ \space\space&\linethrough{8}&\textbf{\linethrough{1}}\\ -&3&\textbf{9}\end{matrix}\\\\\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}:\quad \:11-9=2\\[/tex]

[tex]\frac{\begin{matrix}\space\space&7&\textbf{11}\\ \space\space&\linethrough{8}&\textbf{\linethrough{1}}\\ -&3&\textbf{9}\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{2}\end{matrix}}\\\mathrm{In\:the\:bolded\:column,\:subtract\:the\:second\:digit\:from\:the\:first}:\quad \:7-3=4\\\\\frac{\begin{matrix}\space\space&\textbf{7}&11\\ \space\space&\textbf{\linethrough{8}}&\linethrough{1}\\ -&\textbf{3}&9\end{matrix}}{\begin{matrix}\space\space&\textbf{4}&2\end{matrix}}[/tex]

Answer:

It will last 8 days

Step-by-step explanation:

divide 5 1/3 by 2/3

Answer:

-37/24

Step-by-step explanation:

Answer:

The number is 27

Step-by-step explanation:

let the number be x

3/4 ( 7-x)=-15

21/4 - 3/4x=-15

collect like terms

-3/4x=-15-21/4

-3/4x=-81/4

divide both sides by -3/4

x=27

Answer:

y = -7x + 11

Explanation:

Just get y by itself. Subtract 7x from both sides. Substitute in each x value individually to get the next answers, which will be 25, 11, and -10.

Answer:

254c = 333

Step-by-step explanation:

254c = 333