Find the area of the figure.

Answer:

Two functions f(x) and g(x) are inverses if and only if:

f( g(x) ) = x

and

g( f(x) ) = x

In this case, we have:

f(x) = 1*x - 6

g(x) = 6*x + 1

Let's check if the functions are inverses.

f( g(x) ) = 1*g(x) - 6 = 1*(6x + 1) - 6 = 6x + 1 - 6 = 6x - 5

and

g( f(x) ) = 6*f(x) + 1 = 6*(1x - 6) + 1 = 6x - 36 + 1 = 6x - 35

So we can see that:

f( g(x) ) ≠ x

g( f(x) ) ≠ x

Thus, f(x) and g(x) are not inverses.

Particularly, the two compositions are:

f( g(x) ) =  6x - 5

g( f(x) ) =  6x - 35

Both of these are linear functions, thus the domain in both cases is the set of all real numbers, that can be written as:

domain = (-∞, ∞)

Answer:

Length of Sarah rope    = 6 m

Length of Amanda's rope  = 4 m

Length of Mary's rope  = 7 m

Step-by-step explanation:

Let the length of Sarah rope = x

Length of Amanda's rope= x - 2

Length of Mary's rope = (x - 2 ) + 3 = x - 2 + 3 = x + 1

Length of rope = 17 m

x + x - 2 + x + 1 = 17

Combine like terms

x + x + x - 2 + 1 = 17

       3x  - 1 = 17

Add 1 to both sides

3x = 17 + 1

3x = 18

Divide both sides by 3

x = 18/3

x = 6

Length of Sarah rope = x  = 6 m

Length of Amanda's rope= x - 2 = 6 - 2 = 4 m

Length of Mary's rope =   x + 1 = 6 + 1 = 7 m

Answer:

Check out the answer. Hope it helps!!

Answer: [tex]56\ kmph,\quad 50\ kmph[/tex]

Step-by-step explanation:

Given

Two cars are 600 km apart moving towards each other

Difference in their speed is 6 kmph

After 4.5 hr, they are 123 km apart that is, they covered a distance of [tex]600-123=477\ km[/tex] in 4.5 hours

Suppose their speeds is [tex]v_1\ \text{and}\ v_2[/tex]

[tex]\therefore v_1-v_2=6\quad \ldots(i)[/tex]

Also, distance traveled is given by

[tex]\Rightarrow 477=[v_1+v_2]4.5\\\Rightarrow v_1+v_2=106\quad \ldots(ii)[/tex]

Solve, (i) and (ii) , we get [tex]v_1=56\ kmph\ \text{and}\ v_2=50\ kmph[/tex]

Answer:

The answer is "A point on the parabola  and Focus".

Step-by-step explanation:

[tex]= \sqrt{(x - x)^2 + (y- (-p))^2} = \sqrt{(x-0)^2+ (y-p)^2} \\\\= \sqrt{(0)^2 + (y+p))^2} = \sqrt{(x)^2+ (y-p)^2} \\\\= \sqrt{(y+p))^2} = \sqrt{(x)^2+ (y-p)^2} \\\\= (y+p) = (x)+ (y-p) \\\\= y+p = x+ y-p \\\\=2p=x\\\\=x=2p[/tex]

Whenever the focus and also the guideline are utilized in determining the parabolic formula, two distances have indeed been equal.

The distance from the direction, as well as a parabolic point, was equal to the distance from the center to a parabolic point.

Answer:

The distance between the directrix and a point on the parabola is set equal to the distance between the focus and the same point on the parabola.

Step-by-step explanation:

Hope this helps! :)

Answer:

the answer is 216 m²

Step-by-step explanation:

3 time 6 equals 18

18 times 2 is 36

3 times 10 is 30

30 times 2 is 60

6 times 10 is 60

60 times 2 is 120

120+60+36=216

Answer:

Positive

Step-by-step explanation:

It gose upwards

Answer:

d

Step-by-step explanation:

a. (2/5)(-8/9)(-1/3)(-2/7)= - 32/945

b. (-2/5)(8/9)(-1/3)(-2/7) = -32/945

c. 2/5 * 8/9 * 1/3 * - 2/7 = - 32/945

d. -2/5 * - 8/9 * 1/3 * 2/7 = 32/945

Answer:

D

Step-by-step explanation:

32/945 is the final answer

Answer:

7q

Step-by-step explanation:

that is the procedure above

Convenience sampling.

Answer:

irrelevant is the answer for it doesn't belong

[tex]\rightarrow\sf \sqrt{27} + 7 \sqrt{5} : \sqrt{2 } \\ = \sf \sqrt{9(3)} + 7 \sqrt{5} : \sqrt{2 } \\ = \sf \sqrt{ {3}^{2} } \times 3 + 7 \sqrt{5} : \sqrt{2} \\ \rightarrow \large\boxed{\sf{\red{3 \sqrt{3} + 7 \sqrt{5} : \sqrt{2} }}}[/tex]

[tex]\large\boxed{\sf{\red{3 \sqrt{3} + 7 \sqrt{5} : \sqrt{2} }}}[/tex]

[tex]\color{red}{==========================}[/tex]

✍︎ꕥᴍᴀᴛʜᴅᴇᴍᴏɴǫᴜᴇᴇɴꕥ

✍︎ꕥᴄᴀʀʀʏᴏɴʟᴇᴀʀɴɪɴɢꕥ

ꕥᴀʀᴀꕥ

Answer:

92

Step-by-step explanation:

= 3200 ÷ 35

= 91.43

round up to nearest whole number

= 92 km

Answer:

y = 100,000 (1 + 0.04) ²⁰

Step-by-step explanation:

Here:

100,000 = original amount.

0.04 = rate (a percent)

and

20 = number of times you need to run the simulation.

Answer:

on horizontal (x axis) positive numbers are to the right, negative to the left...

on the vertical axis (y-axis) the positive numbers go up (north) and the negative numbers go down (south) the zeros on each axis meet at the "origin"

Step-by-step explanation:

Answer:

1/2

slope = Δy/Δx

start at (-1,3)  to get to the line from there you can go down 1 ( Δy = -1)

and left 2 (Δx = -2)

-1/-2 = 1/2

Step-by-step explanation:

Answer:

#1 is f.

#2 is d.

#3 is a.

#4 is b.

#5 is c.

#6 is g.

#7 is e.

Step-by-step explanation:

The digit "9" is in the ten's place because it is two numbers/spaces left from the decimal. If you make all the other digits "0", you'll be left with a value of 90.

The digit "1" is in the one's place because it is one number/space left from the decimal. Applying the same concept of making all the other digits "0", you'll be left with a value of 1.

The type of digits to the right of the decimal, starting from left to right, are the tenths place, hundredths place, thousandths place, ten-thousandths place, and millionths. Remember and know those digit types based on their position away from the decimal. The value will be there for you to see afterward.

18.1

Answer:

18.1 miles

Step-by-step explanation:

TOTAL distance= sum of individual distance

[tex]3 \times \frac{1}{2} + 5 \times \frac{3}{5} + 2 \times \frac{1}{3} + 6 \times \frac{2}{3} [/tex]

[tex] = 18.1miles[/tex]

Answer:

18 1/10

Step-by-step explanation:

Add the total distances

Get a common denominator of 30

3 15/30 + 5 18/30  + 2 10/30 + 6 20/30

16 63/30

16 + 60/30 +3/30

18+3/30

18 1/10

Answer:

y(x)=2x^3-6x^2+ax+b, a and b are constants

Step-by-step explanation:

d2y/dx2=12x-12, integrating both sides we get

dy/dx=6x^2-12x+a, where a is the integration constant.

Again integrating both sides, we get

y(x)=2x^3-6x^2+ax+b, where b is the integration constant

Answer:

8 x^-2

Step-by-step explanation:

2 sqrt(x) * 4x ^ -5/2

Rewriting

2 x^1/2  * 4x ^ -5/2

2*4 = 8

x^1/2 * x^ -5/2  

We know a^b * a^c = a^(b+c)

x^ 1/2 * x^ -5/2 = x^ (1/2 -5/2 ) = x^ (-4/2) = x^-2

8 x^-2

Step-by-step explanation:

-5x - 4y= -117x + 3y = 18

-5x +117x = 3y + 4y = 18

112x = 7y = 18

Answer:

d)

Step-by-step explanation:

c/d - 2c/5d = 5c/5d - 2c/5d = 3c/5d = x

3c/d = 5x

c/d = 5x/3 = 5/3 × x

Answer:

The correct answer is 6x^2 + 3x - 18

I saw that this is from 2 weeks ago so it's probaly too late to answer... if you ever have trouble multiplying exponents use symbolab it's an online calculator that's really good (i use it on all my math exams :)

Answer:

93

Step-by-step explanation:

the answer is 93 no -93 i think so

The given figure represents translation transformation. Therefore, option A is the correct answer.

"It is the method of transforming the shape or size of a geometric object using different rules and methods."

"It is a geometric transformation in which the object is moved from one place to another without change in its shape, size and orientation."

"It is a transformation where changing the size of an object without changing its shape."                                                                      

"It is a geometric transformation in which the object is rotated about the axis of rotation without changing the size and shape of an object."

In the given figure, ΔABC is transformed to ΔA'B'C' we can observe that the transformation is translation.

The given figure represents translation transformation. Therefore, option A is the correct answer.

Learn more about the transformation here:

brainly.com/question/22532832

#SPJ2

Answer:

Step-by-step explanation:

If AD is an altitude, then by definition it drops from the vertex angle (the top angle) and meets the base at a right angle, which measures 90 degrees. That means that 17x + 73 is a right angle:

17x + 73 = 90 and

17x = 17 so

x = 1

Answer

Slope-intercept form: y=5x-2

Standard form: 5x-y=2

Explanation

Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. You can just plug in the numbers to go y=5x-2.

Standard form is Ax+By=C. This form is usually used to find the x-intercept and y=intercept. You can rearrange the numbers to get standard form; 5x-y=2.