Match the expression to its value.
104
1
= 0.01
102
104
102
10,000
10-4. 102
1
= 0.000001
109
10-4
1
= 0.0001
10-

Step-by-step explanation:

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

Answer:

Step-by-step explanation:

ten students are chosen from a statistics class of 300 let x be the number who got an a in the class

Answer:

k calculate it how u see it

Answer:Complementary angles are two angles whose sum is 90 degrees.

Let x represent one of the angles.

The other angle which is 84.2 degrees less would be x - 84.2.

Using this, we can write an equation.

x + (x-84.2) = 90.

Combine like terms:   2x - 84.2 = 90

Add 84.2 to both sides of the equation.

2x = 174.2

Divide by 2:  x = 87.1  

and x - 84.2 would equal 2.9.       to check: does  87.1 + 2.9 = 90?  yes.

Step-by-step explanation: Thats as close as its gonna it i think

Answer:

3. 72

4. 48

5. 56

6. 18

7. 45

8. 48

9. 9

10. 6

11. 11

12. 10

13. 7

14. 5

Answer:

= 2.8

Step-by-step explanation:

8.3 - 5.5 = 2.8

= 2.8

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).

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Answer:

D. none

Step-by-step explanation:

to figure out if the point is on the graph, take the x value and plug it in to the x coordinate, do the same for y. if the values truly add up to 2, then it is on the graph. Since none of the values add up to 2, they are not on the graph.

Answer:

D cos (1/2 x )

Step-by-step explanation:

y = cos (x/2)

because from the graph x = 2pie

= cos pie = -1

The function whose graph is given by; cos (1/2 x )

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x,  the function must be having increasingly output for inputs greater than that value of x.

If the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

The function that we are given graphed has the point (0,1), this means whichever function f(x) it represents f(0) = 1.

Now, only the cosine function has the property that cos(π) = -1, thus

y = cos (x/2)

because from the graph x = 2π

The function whose graph is given by; cos (1/2 x )

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Answer:

10.1

Step-by-step explanation:

I just put in a calculator and got the answer.

Answer:

[tex]\boxed {\boxed {\sf ( - \frac{9}{2}, -1) \ or \ (-4.5, -1) }}[/tex]

Step-by-step explanation:

We are asked to find the midpoint of a line segment. When you find the midpoint, you essentially find the average of the x-coordinates and the y-coordinates. The midpoint formula is:

[tex](\frac {x_2+x_1)}{2}, \frac{y_2+y_1}{2})[/tex]

In this formula, (x₁, y₁) and (x₂, y₂) are the endpoints of the line segment. we are given the endpoints R (-6, 1) and S (-3, -3). If we match the value and the corresponding variable we see that:

Substitute the values into the formula.

[tex]( \frac{-3 + -6}{2} , \frac{ 1+ -3}{2} )[/tex]

Solve the numerators.

[tex](\frac {-9}{2}, \frac {-2}{2})[/tex]

Divide.

[tex]( - \frac {9}{2}, -1})[/tex]

The fraction can also be written as a decimal.

[tex](-4.5 , -1)[/tex]

The midpoint of the line segment RS is (-9/2, -1) or (-4.5, -1).

Answer:

The second and third boxes. m=-10/4 & -5/2 & the last one

Step-by-step explanation:

We know the answer is negative so we need to add a larger number to get the 3/4 to the negatives. 3-10= -7, so -10/4 and -5/2 is equal to -10/4

Answer:

The second one m= -10/4, the third one m= -5/2, and the last one -5/4+m= -15/4

Step-by-step explanation:

You find m by solving -7/4 - 3/4 = m. Thats the second option -10/4.

When you simplify, you get -5/2, the third option.

Finally, -5/4+m= -15/4 is equal to -15/4 -(-5/4)=m. Subract and you get -10/4. That makes the original equation equal to the last option.

     We can solve this problem by using the fact that speed of typing is defined as the words typed in unit time.

Dana will type [tex]2.6\times 10^5[/tex] words in 48.15 hours.

It's given in the question,

Since, 1 minute = [tex]\frac{1}{60}[/tex] hours

Therefore, number of words she can type = [tex]\frac{90}{\frac{1}{60}}[/tex]

                                                                      = 90×60

                                                                      = 5400 words per hour

Number of words Dana types with the given speed in 'x' hours = Speed of typing × Time

= [tex]5400\times x[/tex]

Therefore, [tex]5400\times x =2.6\times 10^5[/tex]

[tex]5400x=260000[/tex]

[tex]x=\frac{260000}{5400}[/tex]

[tex]x=48.15[/tex] hours

               Therefore, Dana types [tex]2.6\times 10^5[/tex] words in 48.15 hours.

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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:

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

80 - 10 = 70 degrees

Step-by-step explanation:

Answer:

Ray EA & Ray EC

(last one)

Step-by-step explanation:

Opposite rays make a 180 degree line.

For naming it, always start with the endpoint and then to the arrow.

Answer:

-18

Step-by-step explanation:

9 x -2 = -18

You multiply like normal and then for the answer just add a neg sign if there is an ODD amount of neg signs in the overall problem and then add no neg sigh if there are an EVEN number of neg signs (they cancel out),...

Hope it helps,... Chow,...!

Answer:3

Step-by-step explanation: 23.09 * 0.13 =3 rounded up

Geometric terms are terms used for describing geometric objects

The correct responses for the geometric term modeled by each object are as follows:

16. The geometric term modelled by the tip of the needle is a point

17. The figure modelled by he rail track are lines including; Parallel lines and  intersecting lines

18. The figure modelled by the cloth is a plane with points

19. A table cloth models a plane

20. A partially opened newspaper models an angle, and two planes intersecting

21. Woven threads in a piece of cloth models intersecting lines

22.A knot in a string models a point on a line

Required:

To draw and model a figure for each relationship

Solution:

23. The required drawing of the model of line AB intersecting at Q and W is attached

24. The required drawing of the model of point T that lies on [tex]\overset \longleftrightarrow {WR}[/tex] is attached

25. The required drawing of the model of point Z(4, 2),  R(-4, 2), and collinear point S, with Q, Z, R, and S are not, is attached

26. The given coordinates are; C(-1, 4) and R(6, 4). The point P(3, 2) is the intersection of the lines [tex]\overset \longleftrightarrow {RS}[/tex] and [tex]\overset \longleftrightarrow {CD}[/tex]

The required drawing is attached

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Answer:

(1,3)

Step-by-step explanation:

3 > -2(1)+ 3 < 4

3 > -2 + 3 < 4

3 > 1 < 4

Answer:

9180

Step-by-step explanation:

9000*1.02

Answer:

There will be $8820 in Monico's account at the end of the one year period.

Step-by-step explanation:

9000*0.02 = 180

9000 - 180 = 8820

Have a nice day! :-)

Answer:

Step-by-step explanation:

See the picture below

Answer: Hello There!................

x=-3.5

Step-by-step explanation:

Mark me brainest please. Hope this helps. Anna ♥

All the elements of the given set {2,4,8,...,256} are - {2, 4, 8, 16, 32,64, 128, 256} that are total 8 in numbers.

The set is formed by the number of objects in a particular manner, these objects are called elements of the set. The elements of the set are written inside a curly bracket separated by a comma in a particular or specific order.

There are two methods to represent the set and its elements that are:

in this case, {[tex]2^{1},2^{2},2^{3},2^{4},2^{5},2^{6},2^{7},2^8[/tex]} as we know,

so the set notation would be :

= {x:x = [tex]2^{n}[/tex], n∈N and 1 ≤ n ≤ 8}

The listing method:  {2, 4, 8, 16, 32,64, 128, 256}\

Thus, the above mention set is all the elements of the set.

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