Help me please I’m so confused ):

9514 1404 393

Answer:

  a) J(K(x)) = x; K(J(x)) = x; functions are inverses

  b) f(g(x)) = 8 -x; g(f(x)) = -x; functions are not inverses

  c) f(x) = 4 -x; f^-1(x) = 4 -x. g(x) = x -4; g^-1(x) = x +4

Step-by-step explanation:

a) Substitute for the function argument in the usual way. If the functions are inverses, their composite is the identity function.

  J(K(x)) = J(1/3x -2) = 3(1/3x -2) +6 = x -6 +6 = x . . . . functions are inverses

  K(J(x)) = K(3x +6) = 1/3(3x +6) -2 = x +2 -2 = x . . . . functions are inverses

__

b) f(g(x)) = f(x -4) = 4 -(x -4) = 4 -x +4 = 8 -x . . . . functions are not inverses

  g(f(x)) = g(4 -x) = (4 -x) -4 = -x . . . . functions are not inverses

__

c) To find the inverse function for y = f(x), solve x = f(y).

The inverse of f(x) = 4 -x is ...

  x = f(y) = 4 -y

  y = 4 -x . . . . . add y-x to both sides

  f^-1(x) = 4 -x

and for g(x) = x -4, the inverse is ...

  x = g(y) = y -4

  x +4 = y

  g^-1(x) = x +4

Step-by-step explanation:

$1660-$580= $1,080

Answer:

1660 minus 580

Step-by-step explanation:

they have already raised 580. so get 1660 is to subtract 1660 to 580

Answer:

$1,856.25

Explanation:

To find the square yards, multiply length and width

7.5 * 5 = 37.5

Then, since each square yard costs $49.50, multiply the square yards and the cost

37.5 * 49.50 = 1,856.25

Thus the answer is $1,856.25

The carpet for the room will cost $1,856.25.

This is the product of the unit cost per square yard multiplied by the area of the room.

The area of the room is = 37.5 square yards (Length x Width)

Length of the room = 7.5 yards

Width of the room = 5 yards

Therefore, the total area of the room = 37.5 square yards (7.5 x 5)

Thus, the total area of the room is 37.5 square yards and since each square yard costs $49.50, the total cost for buying the carpet will cost $1,856.25 ($49.50 x 37.5).

Learn more about area of a space at https://brainly.com/question/16758524

Answer:

[tex] \frac{7}{8} - \frac{2}{3 } \\ \frac{7 \times 3}{8 \times 3} - \frac{2 \times 8}{3 \times 8 } \\ \frac{21 - 16}{24 } \\ = \frac{5}{24} [/tex]

Step-by-step explanation:

7/8-2/3

(7*3)/(8*3)-(2*8)/(3*8)

(21-16)/24

5/24

is the answer ...plzz add it to brainliest

Answer:

W = 90 ft

Step-by-step explanation:

1 acre = 43,560 ft^2

A (area) = L (length) x W (width),

L = 484

A = 43560

W = A/L

= 43560/484

= 90 ft

Answer:

A. Sequence 2 is arithmetic and Sequence 1 is geometric

Step-by-step explanation:

Hello,

Answer A

-10,20,-40,80,.... is geometric= Sequence 1

15,-5,-25,-45.... is arithmetic= Sequence 2

Answer: B

Step-by-step explanation:[tex]y=f(x)=2x^3-6x^2-48x+24\\\\y'=6x^2-12x-48=6(x^2-2x-48)=6(x-4)(x+2)\\\\y''=12x-12\\\\if\ x=4\ then\ y'=0\ and\ y''=12*4-12 >0 \ \\==>\ a \ max , y=2*4^3-6*4^2-48*4+24=-136\\\\if\ x=-2\ then\ y'=0\ and\ y''=12*(-2)-12 \ <\ 0\\==> a\ min\ y=2*(-2)^3-6*(-2)^2-48*(-2)+24=80 \\\\\\Answer\ B[/tex]

Answer:

44

Step-by-step explanation:

Let S = strawberry count

Chocolate = 1/4 * 80 = 20

Vanilla = 1/5 * 80 = 16

Total = C + V + S

80 = 20 + 16 + S

80 - 20 - 16 = S = 44

Answer:

Step-by-step explanation:

a) points not on the plane will be somewhere other than on the shaded area representing plane P. Z and W are two such points.

__

b) The name can consist of any three points not on the same line. That means names RVX, RSU, TUV are not allowed, but any other combination of these letters, along with the letter Q, can be used. A couple of possible names are ...

 QRS, STU

Answer:

answer is 6

Step-by-step explanation:

m^2 - 4m + 2

-2(2) - 4(-2) + 2

-4 + 8 + 2

-4 + 10

6

Answer:

[tex]94/99[/tex] Or [tex]0.94[/tex] as a repeating decimal

Step-by-step explanation:

Answer:

Line 1 to line 2: Distributive property.

Line 2 to line 3: Commutative property.

Answer:

To factor a trinomial in the form ax2+bx+c a x 2 + b x + c , find two integers, r and s, whose sum is b and whose product is ac. Rewrite the trinomial as ax2+rx+sx+c a x 2 + r x + s x + c and then use grouping and the distributive property to factor the polynomial.

Step-by-step explanation:

I don't know what did i wrote there.

Answer:

20x30xH=7000

11.6666 , depends on how much you need to round it. if 2 sig figs, round it to 12.

Answer:

Pyramid Height = 3 * Pyramid Volume / Base Area

Height = 3 * 7,000 / (30 * 20)

Height = 21,000 / 600

Height = 35 meters

Step-by-step explanation:

Answer:

Step-by-step explanation:

m+np

Now

The entries for Row 3 in step 3 are : 0, -1, -2, 1

R_{1} = Row1

R_{2} = Row  2

R_{3} = Row  3

For the third step, STEP 3 :

THE VALUE OF Row 3 is obtained thus :

[tex]R_{3} = R_{3} - 3R_{1}[/tex]

[tex]From \: step \: 1 : R_{1} = [1 1 1 0][/tex]

[tex]R_{1} = [1 1 1 0] \\  \\

[tex]R_{3} = [3 2 1 1]  \\  

\\ 3R_{1} = 3(1 1 1 0) = [3 3 3 0][/tex]

[tex]R_{3} - 3R_{1} \:  =

(3 - 3), (2 - 3), (1 - 3), (1 - 0) = (0, -1, -2, 1)[/tex]

Hence, the entry for Row 3 in step 3 will be :

(0, - 1, - 2, 1)

Learn more on linear algebra : https://brainly.com/question/13284369

Answer:

9+x = 2y+14

Step-by-step explanation:

It says 9 plus a number, so plug in x for 'a number', and it says 'is twice a number plus 14'. Plug in '=' for is another variable for 'a number', and last but not least, just put +14 for plus 14

my guess is "15m" is it correct ?

Explanation:

Apply the pythagorean theorem to find the missing side.

[tex]a^2 + b^2 = c^2\\\\x^2 + 20^2 = 25^2\\\\x^2 + 400 = 625\\\\x^2 = 625-400\\\\x^2 = 225\\\\x = \sqrt{225}\\\\x = 15[/tex]

The horizontal leg of the right triangle is 15 meters long. This is the distance from the base of the tree to the base of the building.

Side note: This right triangle is based off the 3-4-5 right triangle. It has been scaled up by a factor of 5.

Step-by-step explanation:

Answer:

[tex]\mid x-6 \mid \geq 0[/tex]

Step-by-step explanation:

We have two options for x; it is either 6 or greater than 6:

If [tex]x=6\\[/tex], [tex]\mid x-6 \mid = \mid 6-6 \mid = \mid 0 \mid = 0\\[/tex].

If [tex]x > 6[/tex], [tex]\mid x-6 \mid > \mid 6-6 \mid[/tex] => [tex]\mid x-6 \mid > 0[/tex].

(for example, if [tex]x=7\\[/tex], [tex]\mid x-6 \mid = \mid 7-6 \mid = \mid 1 \mid = 1 > 0[/tex])

So, [tex]\mid x-6 \mid = 0[/tex] or [tex]\mid x-6 \mid > 0[/tex]; [tex]\mid x-6 \mid \geq 0[/tex].

Answer:

They're parallel lines .

Step-by-step explanation:

But they are perpendicular to the lines they meet with. i.e; width lines are parallel to each other. But width lines are perpendicular to length lines.

[tex]{ \sf{}}[/tex]

Answer:

Parallel lines

Step-by-step explanation:

It wouldn't be perpendicular lines because a perpendicular line is when two lines come together to make a perfect corner, or 90 degree angle. It wouldn't be neither because parallel lines is when they face each other and if they were to go on forever they would never touch because they go straight. That may sound confusing but and example would be like the opposite lines on a square, how they're perfectly straight and opposite each other. The answer is parallel lines. Hope this helps! Good luck.

Answer:

[tex]2 {x}^{2} - 25 = 73 \\ 2 {x}^{2} = 73 + 25 \\ 2 {x}^{2} = 98 \\ {x}^{2} = 98 \div 2 = 49 \\ {x}^{2} = 49 \\ x = \sqrt{49} = 7 \\ x = 7 \\ thank \: you[/tex]

Answer:

The temperature was 80 degrees and it dropped 10 degrees. What is the temperature now?

80 - 10 = 70 degrees

Step-by-step explanation:

Answer:

b² + 10b + 21

Step-by-step explanation:

First: b²

Outer: 7b

Inner: 3b

Last: 21

b² + 7b + 3b + 21 =

b² + 10b + 21

Answer:

[tex](b + 3)(b + 7) \\ b(b + 7) + 3(b + 7) \\ b {}^{2} + 7b + 3(b + 7) \\ b {}^{2} + 7b + 3b + 21 \\ b {}^{2} + 10b + 21[/tex]

hope this will help u :)

Answer:

-5454524637285

Step-by-step explanation:

Calculator lol

Answer:

16+21/8-6 simplifies to 13

Hope this helps!!

Answer:

D. 13

Step-by-step explanation:

Step 1:

16 + 24 / 8 - 6

Step 2:

16 + (24 / 8) - 6

Step 3:

16 + 3 - 6

Step 4:

(16 + 3) - 6

Step 5:

19 - 6

Answer = 13

Hope it helps :)

Matrix operations includes the addition, multiplication and subtraction of matrices

The correct option for the matrix that can be used to represent B is option D)

[tex]D) = \left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right][/tex]

The reason the above option is correct is as follows:

From the graph, we have that the coordinates of the preimage are;

(-6, 5), (-3, 9), and (6, 5)

The coordinates of the preimage in matrix form is given as follows;

[tex]\left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right][/tex]

The coordinates of the image are;

(-6, -5), (-3, -9), and (6, -5)

The coordinates of the image in matrix form is given as follows;

[tex]\left[\begin{array}{rrr}6&-3&-6\\-5&-9&-5\end{array}\right][/tex]

The above image matrix can be obtained from the primage matrix as follows:

[tex]\left[\begin{array}{rrr}1&0\\0&-1\end{array}\right]\left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right] = \left[\begin{array}{rrr}6&-3&-6\\-5&-9&-5\end{array}\right][/tex]

Which is of the form AB = C

Where;

[tex]A = \left[\begin{array}{rrr}1&0\\0&-1\end{array}\right][/tex]

[tex]B = \left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right][/tex]

[tex]C = \left[\begin{array}{rrr}6&-3&-6\\-5&-9&-5\end{array}\right][/tex]

Therefore, the matrix that could represent B is [tex]\left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right][/tex] which is option D)

Learn more about matrix operations here:

https://brainly.com/question/17058708

Answer:

2x^2 +16x=0

=>2 x(x+8)=0

=>2x=0 or x+8=0

=>x= 0 or x=-8

Step-by-step explanation:

Answer:

0.54

Step-by-step explanation:

27/50

= 0.54

Hope it helps.