can someone help me with this quickly

Answer:

Yes. f(x) and g(x) are inverses of one another

Step-by-step explanation:

[tex]f(x) = - \frac{1}{2} x - 2 \\ y = - \frac{1}{2} x - 2 \\ x = - \frac{1}{2} y - 2 \\ x + 2 = - \frac{1}{2} y \\ - 2(x + 2) = - \frac{1}{2} y \times - 2 \\ - 2x - 4 = y \\ {f }^{ - 1} (x) = - 2x - 4[/tex]

In step 1 we just copied the original function.

In step 2 we substituted y for f(x).

in step 3 we switched the variables.

in step 4 we added 2 to both sides.

in step 5 we multiply both sides by -2

In step 6 we solved for y.

In step 7 is just a fancy way of saying the inverse function f(x) = -2x - 4

⅘ ≈ 0,8

(w2x - 3) ÷ 10 × z

= (-4 × 2 × 0,8) ÷ 10 × -⅘

= (-8 × 0,8) ÷ -8

= -6,4 ÷ -8

= ⅘ ≈ 0,8

Evalute (w2x - 3) ÷ 10 × z is ⅘ ≈ 0,8.

[tex] [/tex]

After using the linear equations method we will get 1.76.

What is linear equations?
An equation is said to be linear if the highest power of a variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the standard form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the standard form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present. A linear equation is one that has a degree of 1 as its highest value. No variable in a linear equation, then, has an exponent greater than 1. A linear equation's graph will always be a straight line.

How to calculate question by adding their values in the given equation?

firstly, the given equation is: [w2x-3]/10z
the things or values which are given to us:
w=-4x=0.8z=-4.5
Now putting all the values in the given equation:
[-4*2*0.8-3]/10*-4.5-9.72/-5.5
[by solving the brackets]1.76 [by solving the equation]

Hence the answer is, 1.76

To learn more about linear equations
https://brainly.com/question/2030026
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Answer:

8 and 9

Step-by-step explanation:

8 times 9 is equal to 72

g(x)=2x^{2}+6

all you have to do is change the b vale of the equation

Answer:D

Step-by-step explanation:

A is not Linear

B is not Linear

C is not Linear

Answer:

f(x) = 2x^2 - 3x + 1

Step-by-step explanation:

The root 1 is associated with the factor (x - 1).

The root 1/2 is associated with the factor (x - 1/2), which in turn is equivalent to (2x -1)

The quadratic in question is f(x) = (x - 1)(2x - 1).  To write this in standard form, perform the indicated multiplication:

f(x) = 2x^2 - 2x - x + 1, or f(x) = 2x^2 - 3x + 1

Answer:

21

Step-by-step explanation:

15-15=0

17-(-4)=21

sqrt(0^2+21^2)=21

Answer:

It won't let me put my answer sorry

Answer:

1050

5.25/1.5 = 3.5

3.5x300 = 1050

9514 1404 393

Answer:

  -160

Step-by-step explanation:

  -15(10 2/3) = -15(10) +(-15)(2/3) = -150 -30/3 = -150 -10 = -160

The mixed number can be written as the sum of an integer and a fraction. The multiplier then multiplies the integer and the fraction separately, and the two products are added.

Answer:

8

Step-by-step explanation:

17-(9+2)=8

Answer:

f(-3)= 10(-3)^2 - 5(-3) - 3

       =90 + 15 -3

f(-3) = 102

Step-by-step explanation:

Answer:

a) 300000 b)£200 c) 20000km

Step-by-step explanation:

Using proportions and a linear function, it is found that the temperature of the water Jody is in after diving for 20 seconds is of 53 degrees Fahrenheit.

Jody is diving at a rate of 2.5 feet per second, thus, after 20 seconds, his depth is of:

[tex]20 \times 2.5 = 50[/tex]

The temperature at the surface is of 68 degrees. For each foot, it decreases by 0.3 degrees. Thus, the function is:

[tex]T(f) = 68 - 0.3f[/tex]

Jody is at a depth of 50 feet, thus the temperature is T(50).

[tex]T(50) = 68 - 0.3(50) = 53[/tex]

The temperature of the water Jody is in after diving for 20 seconds is of 53 degrees Fahrenheit.

A similar problem is given at https://brainly.com/question/24316569

Answer:

The function is even.

Step-by-step explanation:

The graph resembles y = 1/x^2.

Answer:

A scuba diver was exploring a reef 32.12 m below sea level. The diver ascended to the surface at a rate of 8.8 m/min.

a. using the formula d = rt, so 32.12 m = 8.8m/min (t)

b. it is reasonable to write the distance as positive because the diver is accending/ going up the surface

c. t = 32.12/ 8.8 = 3.65 min

Step-by-step explanation:

hope this helps

Answer:

2 times

Step-by-step explanation:

The longest worm is 2 times the length of the shortest worm

Probability is defined as the likelihood or the certainty that an event is going to occur or happen.

The probability of randomly choosing a red and then a green marble is [tex]3/76[/tex].

The total number of marbles = 20

The number of green marbles= 3

The number of blue marbles = 12

The number of red marbles = 5

The probability of choosing a red marble = Number of red marbles / Total number of marbles

= 5/20

In simplest fraction form = [tex]\frac{1}{4}[/tex]

We are told in the question that you keep the red marble you choose, So this means the total number of marbles left reduces to 19

The probability of choosing a green marble is =  Number of green marbles / New total number of marbles

= 3/19

Therefore, the probability of randomly choosing a red and then a green marble is

P (Red) x P(Green)

= 1/4  x 3/19

= [tex]3/76[/tex]

To learn more, visit the link below:

https://brainly.com/question/22563776

Answer:

i am sorry but plz help me

Answer:

60 miles per hour

Step-by-step explanation:

15 mph (miles per hour) and he traveled for 4 hours so 15 per hour times 4 which is 60 and thats your answer

Answer:

Step-by-step explanation:

Answer:BStep-by-step explanation:B cost less money bet has the same

Answer:

Step-by-step explanation:

B

Answer:

i think its b.24 minutes

Step-by-step explanation:

sorry if im wrong

Answer:

Samantha spent 24 minutes on language arts.

Step-by-step explanation:

So, 60% = 3/5.

Since Samantha spent 40 minutes in total for homework, the 40 minutes would be the denominator. Let's have the variable "x" equal how many minutes she spent on language arts. If we line up the fractions, it will be like this:

3/5 = x/40

Since we know 5 x 8 = 40, we would also multiply the numerator by 8.

3 x 8 =24.

So, Samantha spent 24/40 minutes on ELA, which is 60% of the total time.

Answer:

2 millimeters

Step-by-step explanation:

Since that 1 millimeter is 10 meters then 20 meters which is twice will be 2 millimeters. :)

Answer:

30+4+0.5+0.07+0.006

Step-by-step explanation:

Answer:

736cm²

Step-by-step explanation:

The surface area of a regular pyramid is equal to:

area of the square base + 1/2ps

where p is the perimeter of the base and

s is the height of the slant line of the pyramid.

In your drawing s = 15cm and the base has four equal lengths of 16cm

So first find the area of the base.  Since this is a square, the area is just the

length x the width or 16cm x 16cm = 256cm²

(p) is the perimeter of the base.  Find this by adding all four side of the bottom square together which is 16cm + 16cm + 16cm + 16cm  or  4 x 16cm which is 64cm.

You already were given (s) which is the height of the slanted side from the base to the pointed top.  The drawing gives you this as 15cm.

So plugging all this into the formula, you get:

Surface Area = Area of Base + 1/2 p s

                      =  256 cm² + [1/2 ( 64cm )(15cm)]

                      =  256 cm²  +  {1/2 ( 960 cm²)]

                      =  256 cm²  +  480 cm²

                      =  736 cm²

9514 1404 393

Answer:

  2

Step-by-step explanation:

The products of chord lengths are the same for the intersecting chords:

  AQ×BQ = CQ×DQ

  6×12 = CQ×(38 -CQ)

This gives a quadratic in CQ:

  CQ² -38CQ +72 = 0 . . . . . write in standard form

  (CQ -2)(CQ -36) = 0 . . . . . factor the quadratic

  CQ = 2 or 36 . . . . . . . values of CQ that make the factors zero

The minimum length of CQ is 2 units. (DQ will be 36.)

Congruent triangles are triangles that have equal corresponding angles and sides.

There is no enough information to determine if the triangles are congruent.

From the images of the triangles (see attachment), we can see that the two triangles have 6cm and 13cm as the lengths of their sides.

However, the side lengths of both triangles are not corresponding, and the angle measures are not given.

Hence, there is no enough information to determine if the triangles are congruent.

Read more about congruent triangles at:

https://brainly.com/question/1675117