please answer these questions ​

Answer:

a) A-B = { 1 , 3, 5 }

b) The remainder is 50

c) f + g)(x) = x⁴+ 5x³

d) [tex]\frac{dy}{dx} = \frac{2x- y^3(3x^2)) }{ 1- x^3 3y^2}[/tex]

Step-by-step explanation:

Step(I):-

1) a)

Let A = { 1, 3, 5, 7 } and B = { 7 , 14 , 21 }

A - B = {1,3,5,7} - { 7,14,21}

A - B  = { 1 , 3, 5}

b)

Given f (x)=3x³−11x−48

    x-1  ) 3 x³ - 11x -48 (- 3x²-3x -2

            -3x³ +3x²

                 3x²-11x-48

                -3x²+9x

                     2x -48

                    -2x +2  

                         50

The remainder is 50

c)  Given f(x) = x³ and g(x) = x + 5

(f. g)(x) = f(x) .g(x) = x³ . (x+5) = x³(x) + 5 x³ = x⁴+ 5x³

d)

 Given function   y = 3 + x²+x³y³  ...(I)

By using derivative formulas

            y = xⁿ

            [tex]\frac{dy}{dx} = n x^{n-1}[/tex]

Apply d/dx ( UV) = U V¹ + V U¹



Differentiating equation (I) with respective to 'x' , we get

                      [tex]\frac{dy}{dx} = 0 + 2x + ( x^3 3y^2(\frac{dy}{dx} )+ y^3(3x^2))[/tex]

                     [tex]\frac{dy}{dx} - ( x^3 3y^2(\frac{dy}{dx} )= 2x- y^3(3x^2))[/tex]

                   [tex]\frac{dy}{dx} = \frac{2x- y^3(3x^2)) }{ 1- x^3 3y^2}[/tex]



Answer:

4. 4x² - 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

k(x) = x² - 4

k(2x) is x = 2x

Step 2: Evaluate

Answer:

x = -2 ; y = -6

Step-by-step explanation:

Let y = 3x be eqn.1

So putting eqn.1 in 5x + 4y = -34 gives ,

[tex]5x + 4y = - 34[/tex]

[tex] = > 5x + 4(3x) = - 34[/tex]

[tex] = > 5x + 12x = - 34[/tex]

[tex] = > 17x = - 34[/tex]

[tex] = > x = \frac{ - 34}{17} = - 2[/tex]

Putting the value of x in eqn.1 gives :-

[tex]y = 3x = 3 \times ( - 2) = - 6[/tex]

love shot

Step-by-step explanation:

1x24 minus 1 and that is good

hope it helps

Answer:

that look hard

Step-by-step explanation:

Answer:

31/8

Step-by-step explanation:

Answer:

NICEE

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Use the slope formula: m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

m = [tex]\frac{-3+3}{-2-5}=\frac{0}{-7} =0[/tex]

The slope of the line is 0.

Answer:

27

Step-by-step explanation:

im smart

Step-by-step explanation:

12/15 * (100%)

= 4/5 * (100%)

= 4 * 20%

= 80%

Please gimme brainliest

Answer:

2 8/15

Step-by-step explanation:

Answer:

Part A. 20.7

Part B. 6.9, 6.9, 6.9

Part C. Slower. 33/5.5= 6. 6 minutes is greater than 5 minutes so Simon  ran slower than 1 mile  every 5 minutes.

Step-by-step explanation:

Answer:

When raised to the power of 4, the binomial (4 + y) expands to:

[tex]y^4 + 16y^3 + 96y^2 + 256y + 256[/tex]

Step-by-step explanation:

[tex](4 + y)^4 \\= (y^2 + 8y + 16)^2\\= y^4 + 8y^3 + 16y^2 + 8y^3 + 64y^2 + 128y + 16y^2 + 128y + 256\\= y^4 + 16y^3 + 96y^2 + 256y + 256[/tex]

Answer:

The answer is 32 degrees

Step-by-step explanation:

45 minus 13 equals 32

Answer:

GCF

Step-by-step explanation:

Answer: The largest number of snack bags she could make is 5

Step-by-step explanation:

20/5=4 apples

35/5=7 crackers

In each bag she will place 4 apples and 7 crackers

Answer: R/12=3

Step-by-step explanation: This is because / = divide so since we need to divide then multiply its better you go with /

Answer:D

Step-by-step explanation:

Answer:

i think C sorry if wrong

Answer:

1/3

Step-by-step explanation:

9514 1404 393

Answer:

  A: x = -1  and  y = 3

  B: x = 12  and  y = 16

Step-by-step explanation:

In each case, you can add the opposite of the constant to find the variable.

Equation A

  (x +yi) +(4 -7i) = (3 -4i)

  (x +yi) +(4 -7i) -(4 -7i) = (3 -4i) -(4 -7i) . . . . . add -(4-7i) to both sides

  x +yi = (3 -4) +(-4-(-7))i = -1 +3i

  x = -1  and  y = 3

__

Equation B

  (x +yi) -(-6 +14i) = (18 +2i)

  (x +yi) -(-6 +14i) +(-6 +14i) = (18 +2i) +(-6 +14i) . . . . . add (-6 +14i) to both sides

  x + yi = (18 -6) +(2 +14)i = 12 +16i

  x = 12  and  y = 16

Answer:

In equation A: x=-1 and y=3

In equation B: x=12 and y=16

Step-by-step explanation:

Answer:

2hours/4pages

2/4=1/2

1/2=x/12

cross multiply

12=2x

divide by 2 both sides

6=x

6 hours

Answer:

the answer is 6

Step-by-step explanation:

Answer:

816 cm²

Step-by-step explanation:

Surface area of the composite figure = (surface area of the larger rectangular prism + surface area of the smaller rectangular prism) - area of the side of the smaller rectangular prism that is joined to the bigger prism.

✔️Surface area of the larger rectangular prism:

Area = L*W*H = 20*5*6 = 600 cm²

✔️surface area of the smaller rectangular prism:

Area = L*W*H = 12*4*6 = 288 cm²

✔️area of the side of the smaller rectangular prism that is joined to the bigger prism.

Area = L*W = 12*6 = 72 cm²

Surface area of the composite = (600 + 288) - 72 = 888 - 72 = 816 cm².

Answer:

AEF

Step-by-step explanation:

NOT B