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2 years ago

If f(x) = 4x^2and g(x) = x+1, find (f•g)(x).

Mathematics

2 answers:

Furkat [3]2 years ago

6 0

Answer:

$(f*g)(x) = 4x^2(x+1)\\(f*g)(x) = 4x^3+4x^2$

Step-by-step explanation:

$f(x) = 4x^2\\g(x) = x+1$

So,

Multiplying both equations

$(f*g)(x) = 4x^2(x+1)\\(f*g)(x) = 4x^3+4x^2$

vazorg [7]2 years ago

4 0

Answer:

(f.g)(x)=4x^3+4x^2

Step-by-step explanation:

f(x) = 4x^2and g(x) = x+1, (f•g)(x)=?

(f.g)(x)=f(x)*g(x)

(f.g)(x)=4x^2*(x+1)

(f.g)(x)=4x^3+4x^2

hope it helps. .brainliest please

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Please Help!!

Genrish500 [490]

Given

$a\sqrt{x+b}+c=d$

we have

$\sqrt{x+b}=\dfrac{d-c}{a}$

Squaring both sides, we have

$x+b=\dfrac{(d-c)^2}{a^2}$

And finally

$x=\dfrac{(d-c)^2}{a^2}-b$

Note that, when we square both sides, we have to assume that

$\dfrac{d-c}{a}>0$

because we're assuming that this fraction equals a square root, which is positive.

So, if that fraction is positive you'll actually have roots: choose

$a=1,\ b=0,\ c=2,\ d=6$

and you'll have

$\sqrt{x}+2=6 \iff \sqrt{x}=4 \iff x=16$

Which is a valid solution. If, instead, the fraction is negative, you'll have extraneous roots: choose

$a=1,\ b=0,\ c=10,\ d=4$

and you'll have

$\sqrt{x}+10=4 \iff \sqrt{x}=-6$

Squaring both sides (and here's the mistake!!) you'd have

$x=36$

which is not a solution for the equation, if we plug it in we have

$\sqrt{x}+10=4 \implies \sqrt{36}+10=4 \implies 6+10=4$

Which is clearly false

7 0

3 years ago

(Set up and solve the system, then answer the associated question)

Dimas [21]

9514 1404 393

Answer:

red division: 6 teams
blue division: 5 teams

Step-by-step explanation:

We can let r and b represent the numbers of teams in the red and blue divisions, respectively. The total number of goals scored in each division will be the average for that division times the number of teams in that division.

r - b = 1 . . . . . . there is 1 more red team than blue

4.5r +4.2b = 48 . . . . . . total goals scored per week

Solving by substitution, we have ...

r = b +1

4.5(b +1) +4.2b = 48 . . . . substitute for r

8.7b +4.5 = 48 . . . . . . . . simplify

8.7b = 43.5 . . . . . . . . . . subtract 4.5

b = 43.5/8.7 = 5 . . . . . divide by 8.7

r = b +1 = 6 . . . . . . . . . find r

There are 6 red teams and 5 blue teams.

_____

<em>Additional comment</em>

The basic idea is that you make an equation for each relation given in the problem statement. For a problem like this, you do need to have an understanding of how the average number of goals would be calculated and how that relates to the total goals.

8 0

2 years ago

ary Stevens earns $6 an hour at her job and is entitled to time-and-a-half for overtime and double time on holidays. Last week s

Serggg [28]

The answer is D 394.50

6 0

3 years ago

Simplify complex numbers:add n subtract complex numbers<br><br>(3-5i) - (8-2i)

IgorLugansk [536]

Answer:

-5-3i

Step-by-step explanation:

3-8= -5

-5-(-)2i

-5+2i=-3i

5 0

3 years ago

Pls help im not smart enough ;-;

evablogger [386]

PART1:

First Combination:
Pizza ($7) + Chicken Strips ($6) + Biscuits ($3) + Grapes ($4) = $20

Second Combination:
Dog Food ($13) + Bread ($3) + Crackers ($2) + Broccoli ($2) = $20

Third Combination:
Shampoo ($4) + Tissues ($3) + Pizza ($7) + Eggs ($3) + Biscuits ($3) = $20

PART 2:

First Combination:
$7.20 + $5.70 + $2.90 + $3.70 = $19.60
No, I wouldn’t have gone over the limit

Second Combination:
$13.40 + $3.50 + $2.00 + $1.90 = $20.80
Yes, I would have gone over the limit

Third Combination:
$3.50 + $2.60 + $7.20 + $2.50 + $2.90 = $18.70
No, I wouldn’t have gone over the limit

Hope this helps!!

7 0

3 years ago