if g(x)=f(1/3x), which statement is true?

A the graph of function f is Stretched vertically by a scale factor of 3 to create the graph of function g

B The graph of function F stretched horizontally by a scale factor of 3 to create the graph of function g

C The graph of the function F is compressed horizontally by a scale factor of 1/3 to create the graph of function G

D The graph of function F is compressed vertically by a scale Factor of 1/3 to create the graph function G​

Answer:

14: x=-3.00             15: x=-0.41

Step-by-step explanation:

(x+5)^4=16

x+5=16^(1/4)

x+5=2

x=-3

(x-2)^3=-14

x-2=(-14)^(1/3)

x-2=-2.41

x=-0.41

Answer:

[tex]x = \frac{ - 63}{2} \: or \: - 31.5[/tex]

Step-by-step explanation:

[tex] \frac{x}{7} - \frac{x}{9} = - 1[/tex]

Lets take the L.C.M of 7 & 9.

L.C.M of 7 & 9 = 63

[tex] = > \frac{9x - 7x}{63} = - 1[/tex]

[tex] = > \frac{2x}{ 63} = - 1[/tex]

Now lets multiply 63 on both the sides.

[tex] = > \frac{2x}{ 63} \times 63 = (- 1) \times 63[/tex]

[tex] = > 2x = - 63[/tex]

Now lets divide both the sides by 2.

[tex] = > \frac{2x}{2} = \frac{ - 63}{2} [/tex]

[tex] = > x = \frac{ - 63}{2} = - 31.5[/tex]

Answer:

314,880

Step-by-step explanation:

If the population decreases by 1.6% per year, this means the population is 98.4% of the population of the previous year. What this means is we can multiply the current population, 320,000, by 98.4/100, as 98.4/100 is equivalent to 98.4%. This gets us 314,880.

Answer:

314880

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

from (0,1) to (1,3)

is up 2 over 1

2/1=2

hope this helps!

9514 1404 393

Answer:

  x = 20°

Step-by-step explanation:

For questions like this, it is helpful to remember that an exterior angle is equal to the sum of the remote interior angles.

  110° = 2x + 70°

  40° = 2x

  20° = x

_____

Similarly, ...

  y = x + 70° = 20° +70°

  y = 90°

5/7 = 35 kg

1/7 = 7 kg

Peter weighs 49 kg

49 - 8 = 41 kg

Ailen weighs 41 kg

49 + 41 = 90kg

Their total weight is 90 kg

Answer:

its i

Step-by-step explanation:

Square root of the positive value of 1 is either a positive value of 1 or negative value of 1.1 x 1 = 1 and -1 x -1 = 1.

Answer:

Step-by-step explanation:

Arcs in the circle sum to 360°

Answer:

The distance between the two boats after 2.5 hours is 57 m.

Step-by-step explanation:

The distance covered by each boat after 2.5 hours are:

speed = [tex]\frac{distance}{time}[/tex]

distance = speed x time

For boat A, speed = 14 km/h and time = 2.5 hrs.

So that,

distance = 14 x 2.5

              = 35 km

For boat B, speed = 18 km/h and time = 2.5 hrs.

So that,

distance = 18 x 2.5

              = 45 km

The distance between the two boats after travelling 2.5 hours can be determined by applying the cosine rule. Let the distance be represented by x, so that:

[tex]a^{2}[/tex] = [tex]b^{2}[/tex] + [tex]c^{2}[/tex] - 2bc Cos A

[tex]x^{2}[/tex] = [tex]45^{2}[/tex] + [tex]35^{2}[/tex] - 2(45 x 35) Cos [tex]90^{o}[/tex]

   = 2025 + 1225 - 3150 (0)

   = 3250

x = [tex]\sqrt{3250}[/tex]

  = 57.0088

x = 57.0 m

The distance between the two boats after 2.5 hours is 57 m.

Answer:

45

Step-by-step explanation:

Answer:

30 + 70 + 2x-10=180

90+2x=180

2x=180-90

x=90/2

x=45

X=45

Hope it helps

Hey there!

The answer to your question is [tex]95.55[/tex]

Formulas:

Area of semi-circle = [tex]\frac{1}{2}(\pi r^2)[/tex]

Area of rectangle = [tex]lw[/tex]

Area of triangle = [tex]\frac{bh}{2}[/tex]

Now solve:

semi-circle

[tex]\frac{1}{2}\pi3^2[/tex]

[tex]\frac{1}{2}\pi9[/tex]

[tex]4.5\pi[/tex]

(We will use 3.14 as approx. for pi)

[tex]4.5 * 3.14\\23.55[/tex]

rectangle

[tex]10(6)\\60[/tex]

triangle

[tex]\frac{4(6)}{2}[/tex]

[tex]\frac{24}{2} \\12[/tex]

Now add them all together:

[tex]23.55+60+12\\95.55[/tex]

Have a terrificly amazing day!

Answer:

an integer between –11 and –10

a whole number between 1 and 2

a terminating decimal between –3.14 and –3.15

Step-by-step explanation:

Answer:

c on edge

Step-by-step explanation:

just took the quiz

The equation representing the circle A is (x – 4)² + (y + 5)² = 36.

A circle is a spherical shape without boundaries or edges. A circle is a closed, curved object with two dimensions in geometry.

The general equation of circle is given by equation

( x - h )² + ( y - k )² = r²

Where,  ( h, k ) is the centre and 'r' is the radius.

As, the circle has a shift of 4 units on the +x axis.

The circle has a shift of the 5 units on the -y axis.

As, the circle has a radius of 6 units from the graph.

So, (h,k) = (4, -5).

Substitute the values of (h,k) in the general equation of the circle.

( x - 4 )² + ( y - (-5) )² = 6²

( x - 4 )² + ( y + 5 )² = 36

Therefore, the equation of circle becomes ( x - 4 )² + ( y + 5 )² = 36.

To know more about the general form of equation of circle, here

https://brainly.com/question/1506955

#SPJ2

Answer:

254 in

Step-by-step explanation:

1 yard = 36 in

7 yards = 36 (7)

7 yards = 252

add 2

254 in

:)

Answer: 254 inches

Step-by-step explanation:

1 yard= 36 inches x 7 (yards) + 2 inches= 254 inches

The table be like

Mike age        kellie age

10                     14

15                     19

20                    24

25                    29

Since Mike's sister, Kellie, is 4 years older than he is

And, Let m be Mike's age and let k be Kellie's age.

So here the equation be like

k = m + 4

Based on this we can compute the ages and fill the table

learn more about table here: https://brainly.com/question/16299322

Answer:

25% of 3030 is 757.5, so basically she is saving 757.5 dollars

Answer:

1. =−8

2. =4x^6−5x^5+2

Step-by-step explanation:

happy to help ya :)

Answer:

In this equation, we can start by understanding that "x" has a value of 8, as given in the ordered pair. When multiplied by 5, this leads to "40 - 2y = 30". Next, we can subtract 40 from both sides of the equation. This leads us to a value of "-2y = -10". The next step would be to divide both sides by -2 as a way of isolating "y", which leads us to a final value of "y = 5". The final ordered pair would be (8,5).

Answer:

1/2

Step-by-step explanation:

12 out of 24 is 1/2

Answer:

Step-by-step explanation:

LHS = (Cos9° + Sin9°) / (Cos9° - Sin9°)  

Divide by Numerator  and Denominator   by  Cos9°  

LHS = (1 + Tan9°) / (1 - Tan9°)

       = (Tan 45° + Tan 9°) / (1 - Tan 45° * Tan 9°)  

       = Tan (45°+9°)  

       = Tan 54°

       = Cot 36°

hope it helps :)

Answer:

178 correct problems

Step-by-step explanation:

turn the percentage into a decimal (0.89) and multiply it by the number of questions

Answer: 178

Step-by-step explanation:

89% x 200. Change percent to decimal by moving the decimal to the left two places.

.89 x 200 = 178

Answer:

x = 20°

Step-by-step explanation:

3x - 10° + 5x + 30° = 180° { being co-interior angles }

8x + 20 ° = 180°

8x = 180° - 20°

8x = 160°

x = 160° / 8

x = 20°

Answer:

+3,+4,+5,+6,-20

Step-by-step explanation:

its:

2+3=5

5+4=9

9+5=14

14+6=20

20- 20=0

i believe so

In math, the '!' sign are used in factorial. Factorial is multiplications on numbers itself and with another numbers that less than the number itself. Example :

5! =5x4x3x2x1 or nx(n-1)x(n-2)...2x1

Answer: look at the picture if you want me to solve for s or a here

Step-by-step explanation: hope this help

Answer:

option 2

angles B and D are the alternate interior angles

lines DE and AB being parallel lines and and line BC being the transversal

Answer:

The answer is B and D

Step-by-step explanation:

Confirmed