Let f(x)=3x-7 and g(x)=2x². Perform the function operation and then find the domain of the result.
(f-g)(x)= ?
What is the domain of (f-g)(x)?
A. The domain of f-g is the set of all real numbers .
B.The domain is f-g is the set of all x ≤ 0.
C. The domain is f-g is the set of all x ≥ 0.
D. The domain of f-g is the set of all real numbers except x=0.

Answer:

x = -223/11 = -20.273

Step-by-step explanation:

Step  1  : Simplify:  11/5

Step 2: Simplify 33/5

Step  3  :

Adding fractions which have a common denominator

Step  4: Simplify: 1/2

Step  5  :  see below

Step  6  :  see below

Pulling out like terms/factors

Step  7 : Simplify: 51/2

Step 8:  Simplify: 22/5

Step 10: Simplify: 43/10

Step  9  :

Calculating the Least Common Multiple

Step  11  :

Adding fractions which have a common denominator

Done.

Hope this helps.

Answer: u have to cross out 3x and change into a positive and u try to find the other side of da equation. I hope dis helps :3

Step-by-step explanation:

The equation of a line is written as y =Mx + b, where m is the slope and b is the y intercept, which is the y value when x = 0.

You are told the slope is -1/4, so replace m with -1/4. You are also given the point (0,0) which means when x is 0, y is also 0, so replace b with 0.

The equation becomes y= -1/4x + 0

Because y is 0 you aren’t adding anything to the equation so you can remove it from the equation.

Answer is y = -1/4x

Answer:

x=3/4

Step-by-step explanation:

Look at the picture so you understand how To solve it.

Answer:

1. Suprafața laterală este de 480 cm²

2. Înălțimea paralelipipedului este de 4,8 cm

3. Volumul paralelepipedului este de 648 cm³

Step-by-step explanation:

Un paralelipiped dreptunghiular are dimensiunea bazei de 15 cm, iar celălalt este 35 din primul. Suprafața totală măsoară 750 cm2. Din zona laterală; Înălțimea paralelipipedului; Volumul. Calcol

Aici avem

Dimensiunile bazei sunt;

a = 15 cm

b = 3/5 × 15 = 9 cm

c = Obligatoriu

De asemenea suprafața totală = 750 cm²

∴ deoarece suprafața totală = 2 · a · b + 2 · b · c + 2 · a · c

2 × 15 × 9 + 2 × 35 × c + 2 × 15 × c = 750

270 + 70 · c + 30 · c = 750

100 · c = 480

c = 4,8 cm

Suprafața laterală reprezintă suprafața totală mai puțin zona de sus și de jos

Prin urmare;

1. Suprafața laterală = 750 - 2 × 15 × 9 = 480 cm²

2. Înălțimea paralelipipedului = c = 4,8 cm

3. Volumul paralelipipedului = aria bazei × înălțimea

∴ Volumul paralelipipedului = 15 × 9 × 4,8 = 648 cm³.

Answer:

a:c:b=3:4:8/5

Step-by-step explanation:

i hope this is correct

Answer:

Perimeter = 80mm

Step-by-step explanation:

= 4(side)

= 4(20)

= 80mm

hope it helps!

Answer:

What is the perimeter of this square? 80 mm

Step-by-step explanation:

20 + 20 + 20 + 20

= 4 × 20

= 80 mm

Answer:  

_______________________________________

→   x  = - 1 ±  i√7     ;

                  4    

_______________________________________

Or:  Write as:

_______________________________________

 →   x  = -1  +  i√7     ;   -1  −   i√7     ;

                   4                       4  

_______________________________________

Step-by-step explanation:

_______________________________________

Given:

 -2x² − x − 1 = 0 ;

Solve for " x " .

________________

First, let us multiply BOTH sides of the equation by "-1" ;

     to get rid of that "negative sign" in the coefficient:  " -2" ;

    →  as follows:

________________

  -1 * {-2x² − x − 1 } = 0 *{-1} ;

_________________

Rewrite the value: "x" on the "left-hand side" of the question; as:  "1x" ;

since "any value" ; multipled by "1" ; results in that same individual value:

_________________

    -1 * {-2x² − 1x − 1 } = 0 *{-1} ;  

________________

Note the "distributive property" of multiplication:

________________

 a(b + c) = ab + ac ;

________________

Likewise, from the "left-hand side" of the equation:

   -1 * {-2x² − 1x − 1 } =  {-1 * -2x²}  +  {-1 * -1x}  +  {-1* -1 } ;    

                                =      2x²       +  1x           + 1 ;

_______________________________________

Rewrite the "left-hand side" of the equation:

   2x² + 1x + 1 ;

Now, the "right-hand side of the equation:

            " { 0 * -1 } = 0 " .

Now, rewrite the entire equation:

    2x² + 1x + 1 = 0 ;

________________

Note:  This equation is written in "quadratic format" ;

that is:   " ax² + bx + c " ;   [a ≠ 0] ;

         →  in which:

                   a = 2 ;  b = 1 ; c = 1 ;

________________

 →  which means we can solve for the value(s) for "x" ; by using the

"quadratic equation formula" ;

   →  that is:

________________

   →    x  = -b ± √(b² − 4ac)       ;

                           2a                      

________________

 So;  to solve for the values for "x" ;  we substitute our known values for:

    "a" ; "b" ; and "c" ; and solve:

________________

   →   x  =   -1  ±  √(1² − 4*2 *1)       ;

                              4                    

_________________________

   →   x   =    -1  ±  √(1 − 8)       ;

                            4                              

_________________________

   →   x  =   -1  ±  √(-7)     ;

                         4        

_________________________

Note: "√(-7)"  ;  is the square root of a negative number.

Note that we use the lower case  letter, " i "  ;  

        as a symbol to represent the imaginary number:  " √(-1) " .

This is an "imaginary number" ;  since one cannot take the "square root" of a "number lower than zero."  

So, we write:  √-7 ;   as:   " i * 7 " ;  or, just:  " i √7 " ;  since:

  "i  = √-1" ;  and since:  " √-7"  would "factor out" to:  "√7  * √-1 " .

_________________________

Note:  In the mainstream U.S.A. , the concept of " i " as the  "imaginary number" — " √-1 "  ;  is usually introduced in the second year college-prep algebra class (after "first year high school algebra" in 9th grade; and after "geometry" in 10th grade).

_________________________

So;  we have:

→   x  = -1  ± √(-7)     ;

                   4        

___________

We can rewrite this as:

____________

→   x  = -1  ±  i√7    ;

                   4    

_____________

  We can leave our answer written like that.

We have two (2) solutions—so we can also write out both solutions for the value of x:

_____________

 →   x  = -1  +  i√7    ;   -1  +  i√7     ;

                   4                        4

_____________________________________________

Hope this explanation is helpful to you!

  Best of luck— and best wishes!

_____________________________________________

Answer:

B  4i sqrt(2)

Step-by-step explanation:

sqrt(-2) = sqrt(-1) * sqrt(2) = i sqrt(2)

sqrt(-18) = sqrt(-1) sqrt(2) sqrt(9) = 3i sqrt(2)

Add them together

i sqrt(2) + 3i sqrt(2)

4i sqrt(2)

Answer:

B.) [tex]4\sqrt{2}i[/tex]

Step-by-step explanation:

Simplify both radicals from negative form (the square root of -1 is i ):

[tex]\sqrt{-1*2} +\sqrt{-1*18} \\\\\sqrt{2}i+\sqrt{18}i[/tex]

Simplify [tex]\sqrt{18}[/tex] :

[tex]\sqrt{9*2}\\\\\sqrt{9}*\sqrt{2}\\\\ 3\sqrt{2}i[/tex]

Add:

[tex]1\sqrt{2}i+3\sqrt{2}i\\\\4\sqrt{2}i[/tex]

:Done

Answer:

what are we supposed to answer

Step-by-step explanation:

Answer:

idk

Step-by-step explanation:

there is nothing there

Answer:

5

Step-by-step explanation:

Using the formula of a trapezoid, we can solve this!

Formula is A=1/2(b1+b2)h.

A=1/2(2+8)1

A=1/2(10)1

A=1/2(10)

The area would be 5 cubic in2.

Please tell me if im wrong! im just a student .m.

Answer:

5 units²

Step-by-step explanation:

a for a trapezoid = [tex]\frac{a+b}{2} *h[/tex]

[tex]\frac{8+2}{2} *1[/tex] = [tex]\frac{10}{2} * 1[/tex] = 5*1 = 5

The area is 5 units²

Answer:

The area of triangle DEF is 588 cm²

Step-by-step explanation:

Given;

triangle  DEF with base, b = 42 centimeters

triangle  DEF with height, h = 28 centimeters

triangle  DEF other side length, L = 35 centimeters

Area of a triangle is half of the product of the triangle base and height.

Represented in formula as;

A = ¹/₂bh

where;

b is the base of the triangle

h is the height of the triangle

A = ¹/₂ x 42 x 28

A = 588 cm²

Therefore the area of triangle DEF is 588 cm²

Answer:

588

Step-by-step explanation:

Answer: 25 pi

Step-by-step explanation:

Answer:

Time taken = 6.2 hours

Step-by-step explanation:

Firstly, we will calculate the rate of each person per hour. Then we combine the rates and afterward divide the number of envelope they could address by the combined rate.

Casey can address 20 envelopes at the rate of 20 per hour.

Casey rate = 20 envelope per hr

Anne can address 44 envelope in 2 hours

Anne rate = 22 envelope per hr

Paula can address 68 envelope in 3 hours

Paula rate = 68/3 envelope per hr

Time it will take them to address 400 envelope can be solved below

Add their rate = 20 + 22 + 68/3 = 42 + 68/3 = (126 + 68)/3 = 194/3

Time = 400 ÷ 194/3 = 400 × 3/194 = 1200/194 = 6.1855670103

Time taken = 6.2 hours

Answer:

176

Step-by-step explanation:

Answer:

Domain- {IR} all real numbers or {infinity,infinity}

Range-{0,infinity}

Step-by-step explanation:

plug into calculator

Answer:

1. 1 3/8- 1 /1/8

2. 11/8- 9/8

3. 1 3/8- 9/8

Step-by-step explanation:

Answer:

I'm not sure, but maybe try

[tex](1, -\frac{3}{4} ) or (2,- \frac{3}{2})[/tex]

Plz click the Thanks button!

<Jayla>

Answer:

The answer to y=3x+5 is Only(2,110

Answer:

C, or 18.0

Step-by-step explanation:

The SAS theorem provides that the area is 17.97, which rounds up to 18.0, giving you C as the answer. The other two are far too high for the given values.

Answer:

C

Step-by-step explanation:

3 is on the x-axis so you go over 3 spots, then -5 is on the y-axis so you go down (negative) 5 spots

Answer:

The Answer is c

Step-by-step explanation:

The first point in a coordinate (3) is the x-axis which is the axis going horizontally. You count 3 points right. From here, you go down 5 because it is the y-value which gets you to (3,-5).

Answer:

y = x(0.75)^t

the cost to rent a dvd 5 years ago is $8.43

Step-by-step explanation:

Let x represent the cost to rent a dvd 5 years ago;

And y the cost to rent a dvd t years after.

The cost to rent a dvd has decreased 25% per year, this can be written as an exponential function;

y = x(100% -25%)^t

y = x(1-0.25)^t

y = x(0.75)^t .....1

if the current cost is $2;

t = 5 years

y = $2

Substituting the values into equation 1;

2 = x(0.75)^5

2 = x(0.2373046875)

x = 2/(0.2373046875)

x = 8.427983539094

x = $8.43

Answer:

a . 9/25

b. 13/25

c. 3/5

Step-by-step explanation:

Firstly, we add the number of balls to get the total number of balls = 3 + 2 = 5 balls

P(R) = number of red/total number of balls = 3/5

P(B) = number of blue/total number of balls = 2/5

Since the experiment is with replacement, whatever ball picked would be returned

a. Probability of both balls being red = P(R) * P(R) = 3/5 * 3/5 = 9/25

b. Probability of both balls being same color;

That is : probability of both balls being red or both being blue

Mathematically that would be;

P(R) * P(R) or P(B) * P(B)

whenever we have or in probability, what we do is to add ;

= (3/5 * 3/5) + (2/5 * 2/5) = 9/25 + 4/25 = 13/25

C. at least one of the balls is red

what this means is that both are red or one of the two is red.

Mathematically;

P(R) * P(R) or P(B) * P(R)

= (3/5 * 3/5) + (3/5 * 2/5)

= 9/25 + 6/25 = 15/25 = 3/5

Answer:

y=-1/3x

Step-by-step explanation:

Let's convert this to slope intercept form:

12x-4y=24

-4y=-12x+24

y=3x-6

Therefore, the slope of this line is 3, so the perpendicular line to this would have slope -1/3. Therefore, the slope of the line would be y=-1/3x. Hope this helps!

Answers:

#1: infinite solutions;  #2: no solutions

Step-by-step explanations:

Steps for #1

3(2x+7)=13+4(x+2)+2x

6x+21=13+4x+8+2x

6x+21=21+6x

6x=6x

x=x

After completing the steps to find the value of x using Order of Operations, we see that in the end, the answer we have is x=x. We can easily conclude that x is equal to any number because the final answer in this exercise is always whatever the value of x is. For example, if x=4, our final answer would be 4.

Steps for #2

5(6x+8)=9x-10+21x

30x+40=30x-10

40=-10

Here, we see that once we've completed the steps using the Order of Operations, we come out with the answer 40=-10, which is not true on any terms. Therefore we can simply conclude that the answer for #2 is "no solutions."

If you have any trouble figuring out how I got my answers, please refer back to the steps I used to get the answers.

Thank you!

Answer:

the right answer is : A

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

im smort

Answer:

f(1) = 3

f(n) = f(n-1) - 1

Otherwise,

f(n) = f(1) - (n-1)

=> f(6) = 3 - 5 = -2

Hope this helps!

:)

Answer:

B: x = -y+6

Step-by-step explanation:

Since y = x+6:

Bring x and y to their opposite sides:

x = -y+6

I hope this helps and plz mark me brainliest!!

Answer:

Step-by-step explanation:

(-2, 2)   (2, -3)

(-3 - 2)/(2 + 2)

-5/4 the slope

y - 2 = -5/4(x + 2)

y - 2 = -5/4x - 5/2

y- 4/2 = -5/4x - 5/2

y = -5/4x - 1/2