For the pair of functions, find (f • g)(x) and (gof)(x).
f(x) = -2x2 g(x) = x + 4

A. (g)(x) = -283 - 8x?: (gof)(x) = -2x3 - 8x2

B. (f 9)(x) = -2x2 – 16x - 32; (gof)(x) = -2x2 + 4

C. (og)(x) = -2x2 + 4; (g - f)(x) = -2x2 – 16x - 32

D. (fog)(x) = -2x2 – 32; (g - )(x) = -2x2 + 4

Answer:

2x - 5 - x²

Step-by-step explanation:

note (f - g)(x) = f(x) - g(x), thus

f(x) - g(x)

= 2x - 5 - x²

[tex]\text {Hi There! The answer to your problem is}[/tex]

[tex]\fbox {x=-3/13}[/tex]

[tex]\text {Your 1st Step will be to Simplify the Equation}[/tex]

[tex]\text {-5x+3=8x+9+-3}[/tex]

[tex]\text {-5x+3=(8x)+(9+-3) (Combine Like Terms)}[/tex]

[tex]\text {-5x+3=8x+6}[/tex]

[tex]\text {The Next Step is to Subtract 8x}[/tex]

[tex]\text {-13x+3-3=6-3}[/tex]

[tex]\text {-13x=3}[/tex]

[tex]\text {The Final Step is to Divide by -13}[/tex]

[tex]\text {-13x/13=3/-13}[/tex]

[tex]\text {x=-3/13}[/tex]

[tex]\text {Best of Luck!}[/tex]

[tex]\text {-LimitedX}[/tex]

Answer:

D-246 pages.

Step-by-step explanation:

To find the total number of pages, you must do 3*410 which = 1,230. 1,230 is the total number of pages so then you divide that by 5 because there are 5 days so 1,230/5 = 246. So 246 pages per day.

ANSWER 246

410*3(books)=1230 /5(days) =246

Answer:

g(x) = 4|x| +2

Step-by-step explanation:

f(x) = |x|

y = f(x) + C  C > 0 moves it up

g(x) = |x| +2 moves it up 2 units

y = Cf(x)  C > 1 stretches it in the y-direction

g(x) = 4|x| +2 stretch by 4

We start off with: f(x) = |x|

c > 0 means move up

y = f(x) + c

2 units up

After: g(x) = |x| + 2

c > 1 means y-direction stretch

y = cf(x)

4 unit stretch

After: g(x) = 4|x| + 2

Best of Luck!

Answer: 13

Step-by-step explanation:

cost for 3 hours: 7+2(3)=13

cost for t hours: 7+2t

Answer:

h = 40w

Step-by-step explanation:

40 per week

hours = 40 x amount of weeks

h = 40w

Answer:

A' (3, - 7 )

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ) , thus

A(3, 7 ) → A'(3, - 7 )

Answer:

interest rate (r)=0.049%

principal (p) =1100

Time (t)= 1/12

interest = (1100*1/12*0.049)/100 = 0.045

please check question once

Answer:

Step-by-step explanation:

3/100+33/100=36/100=0.36≈0.4(round to one decimal place)

Answer:

  w(0) = -4

Step-by-step explanation:

Put 0 where x is and do the arithmetic.

  w(0) = 2·0 -4

  w(0) = -4 . . . . . . . simplified

Answer:

x=22

Step-by-step explanation:

6x= 5x+22

6x-5x=22

x=22

Answer:

x = 22

Step-by-step explanation:

6x = 5x + 22

Subtract 5x from both sides.

x = 22

Answer:

=10x2+3x+4

Step-by-step explanation:

I hope this helps you

Answer:

10x^2+3x+4 should be the correct answer

Answer:

Step-by-step explanation:

Monomials have only one term each.

Thus:

-7 is a monomial

a   is a monomial

x + y   is NOT a monomial ; it has two terms and is thus a binomial

1/x    is a monomial

24r^2st^3    is a monomial

ab/5    is a monomial

bx

[tex]-7, a, \frac{1}{x} , 24r^{2} st^{3} , \frac{ab}{5}, bx[/tex] all these terms represents monomials.

"Monomials are defined as the polynomial which represents a single term. This single may consist of two or more numbers and variables with highest exponents."

According to the question,

From the given terms,

-7 is a single term .

Therefore, monomial.

a is a single term .

Therefore, monomial.

x + y is not a single term .

Therefore, it is not a monomial.

[tex]\frac{1}{x}[/tex]  is a single term .

Therefore, monomial.

[tex]24r^{2} st^{3}[/tex] is a single term .

Therefore, monomial.

[tex]\frac{ab}{5}[/tex] is a single term .

Therefore, monomial.

b x  is a single term .

Therefore, monomial.

Hence, [tex]-7, a, \frac{1}{x} , 24r^{2} st^{3} , \frac{ab}{5}, bx[/tex] all these terms represents monomials.

Learn more about monomial here

https://brainly.com/question/9183135

#SPJ3

Answer:

c has greatest ratio output with 0.6 compared to other

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the function y= 2x if x>0 and x−3 if x≤0, to find the value of the function for x = 1, we will substitute x = 1 into the function y = 2x since x>0 at that point.

If x = 1;

y = 2(1)

y = 2

Hence when x = 1, y = 2

If x = 3, we will still use the function y = 2x since 3 is still grater than 0 satisfying the condition x>0.

y = 2(3)

y = 6

Hence when x = 3, y = 6

when x = 0, since x is zero, we will substitute x = 0 into the function x-3 because x≤0 at this point.

If y = x-3

y = 0-3

y = -3

Hence when x = 0, y = -3

when x = -2, we will substitute x = 0 into the function x-3 because -2 is also less than zero

If y = x-3 for x≤0

y = -2-3

y = -5

Hence when x = -2, y = -5

Answer:

D, $75.00 because 35 plus 15 plus 20 is 75.

Answer:

A

Step-by-step explanation:

in the end of the sentence it mentions "in the future" so you need to make that verb future tense as well

I think the correct answer is A.

Explanation: It just makes the most sense to me. I dont really know how to explain it any better! Im sorry! I hope this helped!! :)

Answer:

An integer number is one that can be written without using fractions or decimals, and it is an expression of ( 1.2.3..... ) and 0, and negative numbers (- 1-2-3...... )

Answer: y=3x-8

Step-by-step explanation:

To find the parallel line, you know that the slope must stay the same. If the slope is different, the graphs will touch at one point. This goes against parallel lines as they NEVER touch or cross.

y=3x+b

We can use the given point to find the y-intercept.

-2=3(2)+b             [multiply]

-2=6+b                  [subtract both sides by 6]

b=-8

Now that we have found the y-intercept, we can finish our equation.

y=3x-8

Answer:

ax + ab

Step-by-step explanation:

Step 1: Write expression

a(x + b)

Step 2: Distribute a to each term

ax + ab

[tex]\huge\boxed{Hello!}[/tex]

The Distributive Property states that

a(b+c)=ab+ac

Now, let's use this property to simplify the given expression:

a(x+b)

ax+ab

This is our final answer.

[tex]\huge\boxed{\bf{Hope\;it\;helps!}}[/tex]

[tex]\huge\bold{Good\;luck!}[/tex]

[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]

Answer:

B

Step-by-step explanation:

It just is

Answer:

Its b

Step-by-step explanation:

I just took the test. Hope this helps <3

Answer:

54

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Answer:

- 4.7

Step-by-step explanation:

Step 1:

c - 1.5 + 6.8 = 0.6

Step 2:

c + 5.3 = 0.6

Step 3:

c = 0.6 - 5.3

Answer:

c = - 4.7

Hope This Helps :)

Answer:

-4.7

Step-by-step explanation:

I just went by trial and error till the answer ended up being 0.6. I know that there's a actual way to solve this mathematically, but that's how I did it in school, and so far, I haven't been yelled at for it. Hopefully this was semi-helpful.

Step-by-step explanation:

this is your answer..........

Answer:

31

Step-by-step explanation:

Recognize that all angles of a triangle add up to 180 degrees, so your equation would be x + 16 + x + 24 + 78 = 180.

Step 1: Combine like-terms.

2x + 118 = 180

Step 2: Subtract 118 from both sides to isolate the variable.

2x = 62

Step 3: Simplify

x = 31

Answer:

Step-by-step explanation:

-3x + y = 22     ⇒  y = 3x + 22

-12x - 10y = -10  and  y = 3x + 22

-12x - 10(3x + 22) = -10

-12x - 30x - 220 = -10

               +220       +220

 - 42x  = 210  

 ÷(-42)     ÷(-42)

    x = -5

y = 3(-5) + 22 = -15 + 22 = 7

Answer:

(x-12y)(x+y)

Step-by-step explanation:

Answer:

Midpoint (xM, yM)  =  (-1.5, -0.5)

Step-by-step explanation: