please help with this math question

Given:

The function is:

[tex]f(x)=\sin x[/tex]

The function f(x) is multiplied by a factor of 2 and then 3 is added to the function.

To find:

The effect on the graph of the function.

Solution:

The transformation is defined as

[tex]g(x)=kf(x)+b[/tex]                .... (i)

Where, k is stretch factor and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.  

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

It is given that the function f(x) is multiplied by a factor of 2 and then 3 is added to the function. So, the new function is:

[tex]g(x)=2f(x)+3[/tex]             ...(ii)

On comparing (i) and (ii), we get

[tex]k=2[/tex], it means the graph is vertically stretched by a factor of 2.

[tex]b=3[/tex], it means the graph is shifted up 3 units.

Therefore, the correct option is D.

Answer:

D.) The graph is vertically stretched by a factor of 2 and shifted up 3 units

Step-by-step explanation:

best of luck to you all~! You are the best <3

Answer:

Use Simple Interest Formula=PrT/100

SI=$1800×5×6/12÷100

=4500/100

=$45

Step-by-step explanation:

$45 is the interest that's gonna be owed after 6months so therefore the total $ she owed after 6 months would be: $45 + $1,800=$1,845.

Answer:

A and C (they are same equation)

x^2-4=0

x^2=4

x can be 2 and -2

2^2=4

-2^2=4

Step-by-step explanation:

prove

b.

x-4=0

X=4 (one solution)

d.

x+4=0

X=-4 (one solution)

Answer:

(- 6, 8 )

Step-by-step explanation:

Given the 2 equations

y = - [tex]\frac{1}{3}[/tex] x + 6 → (1)

x = - 6 → (2)

Substitute x = - 6 into (1) and evaluate for y

y = - [tex]\frac{1}{3}[/tex] × - 6 + 6 = 2 + 6 = 8

solution is (- 6, 8 )

Answer:

A: 1/8 for the first one    B:7/8

Step-by-step explanation:

1 is shaded and 7 are not

Answer:

19.82%

Step-by-step explanation:

Add all members that want weight lifting

47 + 21 + 14 + 29 = 111

111 / total members

111 / 560 = 0.1982

0.1982 * 100% = 19.82%

Answer:

33% of 100% of men

Step-by-step explanation:

Add 50 + 19 + 24 = 93

(amount of men doing anything other than lifting) 93÷140= 0.664 (about 66%)

(amount of men lifting) 47÷140= 0.335 (about 33-34%)

So 33% out of 100% of men would lift.

Answer:

y=1/3x+3

Step-by-step explanation:

the general equation for a straight line is y=mx+c.where c is the y cut therefore the y cut on our graph is at (0,3)therefore c is 3

we then find the gradient which is "m" on our equation using the formula m=y2-y1/x2-x1

then we substitute the m and c then tha is the equation.

Answer:

Step-by-step explanation:

Algebra

Make an equation to make the equation equal 12.

[tex]2x - 13 + x + 4 = 12[/tex]

Combine Like-Terms.

Make an equation.

[tex]3x - 9 = 12[/tex]

Add nine to both sides.

[tex]3x = 21[/tex]

Divide both sides by three.

[tex]x = 7[/tex]

Answer:

x = 3

Step-by-step explanation:

4x + 4 = 16

4x = 16 - 4

4x = 12|:4

x = 3

Answer:

4x+4=16

4x=16-4

4x=12

x=3

Answer:

I think it's A because 98÷14=7, 63÷9=7, 14÷2=7

Step-by-step explanation:

And all of those can be divided they even get the same numbers when you divide them which is 7.

Answer:

alternate interior, 37 degrees

step-by-step explanation:

these are alternate interior angles and alternate interior angles are always equal :)

Answer:

b^(m-n)

Step-by-step explanation:

Answer:b^m+n

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

8x-2(x - 5) = x + 25

Distribute

8x -2x+10 = x+25

Combine like terms

6x +10 = x+25

Subtract x from each side

6x-x +10 = x+25-x

5x +10 = 25

Subtract 10 from each side

5x-10+10 =25-10

5x= 15

Divide each side by 5

5x/5 =15/5

x=3

Answer:

A. x = 3

Step-by-step explanation:

8x- 2(x - 5) = x + 25

Using distributive property

8 x - 2 x - 10 = x + 25

combine like terms

6 x - 10 = x + 25

subtract both side from x

6 x - x - 10 = x - x + 25

5 x - 10 = 25

Add 10 to both side

5 x - 10 + 10 = 25 - 10

5 x = 15

Divide both side by 5

5 x / 5 = 15 / 5

x = 3

Answer:

1/3

Step-by-step explanation:

The numbers on a die are 1,2,3,4,5,6

The numbers that are not prime 4,6

P( not prime) = number of numbers that are not prime/ total

                      =2/6  =1/3

Answer: X > 3

Step-by-step explanation:

You want to subtract 14 on both sides and you will get -3x < -9. Then you divide -3 on both sides -3x/3  > -9/-3 and you should end up with x < 3. Since you divided by the negative number you switch the sign from ">" to "<"

Hope this helps and sorry if it did not.

Answer:

16√6 is correct

Step-by-step explanation:

Step-by-step explanation:

3×‐9×-5y-2y =0-7

-6x-7y =-7

Answer:

[tex]x = \frac{9}{13} \ , \ y = - \frac{5}{13}[/tex]

Step-by-step explanation:

                         3x - 5y = 4 ----------- ( 1 )

                         9x - 2y = 7 -----------( 2 )

                 ______________________

( 1 ) x 9  =>       27x - 45y = 36   ----------------- ( 3 )

( 2) x 3 =>        27x - 6y = 21     -------------------( 4 )

                  _____________________

( 3 )  =>          27x - 45y = 36

- ( 4 ) =>         -27x + 6y = - 21

                   ____________________

( 3 ) - ( 4 ) =>     0x - 39y = 15

                            -39y = 15

                                [tex]y = \frac{15}{-39} = -\frac{5}{13}[/tex]

Substitute y in ( 1 ) :

                     [tex]3x - 5y = 4\\\\3x - ( 5 \times -\frac{5}{13}) = 4\\\\3x + \frac{25}{13} = 4\\\\3x = 4 - \frac{25}{13}\\\\3x = \frac{52 - 25}{13}\\\\3x = \frac{27}{13}\\\\x = \frac{27}{13 \times 3}\\\\x= \frac{9}{13}[/tex]                        

Answer:

67.3 degrees

Step-by-step explanation:

Use tan ^-1

tan^-1 (55/23) = 67.3

Answer:

y = 3 + 12x - - - (1)

y = 9 + 10x - - - (2)

3 albums

$39

Step-by-step explanation:

Let number of download = x

Given :

I-moon :

Initial joining fee = $3

Cost per download = $12

Hence,

y = 3 + 12x - - - (1)

I - Toons :

Initial joining fee = $9

Cost per download = $10

y = 9 + 10x - - - (2)

For cost to be the same ;

Equate (1) and (2)

3 + 12x = 9 + 10x

Collect like terms

3 - 9 = 10x - 12x

-6 = - 2x

x = 3

It will take 3 albums

Cost :

3 + 12(3)

3 + 36 = 39

Answer:

57.11 m

Step-by-step explanation:

The formula for the volume of a cylinder of radius r and length h is

V = πr²h.  We want to solve this formula for d, the diameter of the cylinder.  

Start by solving the equation V = πr²h for r²:  divide both sides by πh.

                    V

Then r² = -------------

                  πh

                                                                                  51207 m³

Substituting 20  for h and 3.14 for π, we get r² = ------------------   or:

                                                                                   3.14(20 m)

r² = 815.40 m²

Find the radius by taking the square root of both sides of the previous result:

r = 28.56 m

The diameter is twice the radius, and therefore the diameter here

is d = 2(28.56) m = 57.11 m

Answer:

Solution given:

volume of pyramid =⅓area of base×height

=⅓*1*1*1=⅓=0.33yd³

the volume of the pyramid

0.33yd³

Answer:

Step-by-step explanation:

Answer: [tex]15.3\ \text{units}[/tex]

Step-by-step explanation:

Given

Coordinates of the corners are D(-2,-1), E(3,2), and F(0,4)

Length DE is

[tex]\Rightarrow DE=\sqrt{(2+1)^2+(3+2)^2}\\\Rightarrow DE=\sqrt{(3)^2+(5)^2}\\\Rightarrow DE=\sqrt{34}\ \text{units}[/tex]

Length EF is

[tex]\Rightarrow EF=\sqrt{(4-2)^2+(0-3)^2}\\\Rightarrow EF=\sqrt{(2)^2+(-3)^2}\\\Rightarrow EF=\sqrt{13}\ \text{units}[/tex]

Length FD is

[tex]\Rightarrow FD=\sqrt{(4+1)^2+(0+2)^2}\\\Rightarrow FD=\sqrt{(5)^2+(2)^2}\\\Rightarrow FD=\sqrt{29}\ \text{units}[/tex]

Perimeter of the triangle is

[tex]\Rightarrow DE+EF+FD=\sqrt{34}+\sqrt{17}+\sqrt{29}\\\Rightarrow DE+EF+FD=15.3\ \text{units}[/tex]

Ruby lost $45 so she can enter it into her account as this: C. -$45

Answer:

Step-by-step explanation:

Complementary          Supplementary

40°,50°                          90°,90°

45°,45°                          80°, 100°

60°,30°                         60°,120°

Answer:

620.63

Step-by-step explanation:

use the formula given

r= interest rate

n= numer of times it's compounding in a year

t= time

p= principle amount

[tex]400(1+\frac{.04}{12})^{12*11}=620.628[/tex]

Answer:

(4m - 5)+ (3m + 3) =180°

4m - 5 + 3m + 3 =180°

4m + 3m -5 + 3 =180°

7m - 2 =180°

7m = (180 + 2)°

7m =182°

m = 182°/ 7

m = 26

Answer:

m = 26 degrees.

4m - 5 + 3m + 3 = 180

Combine like terms:

7m - 2 = 180

+2           +2

7m = 182

Divide by 7 on both sides:

M = 26

Step-by-step explanation:

Let's double check!

4 x 26 = 104, 104 - 5 = 99

3 x 26 = 78, 78 + 3 = 81

99 + 81 = 180 it fits!

Answer:

615.75

Step-by-step explanation:

A=4 times pi times r squared

4 times pi times 49 = 615.752160104

Round it to 615.75

Answer:

7/3

Step-by-step explanation:

5/3 + 3/4 *8/9

First multiply

I like to rewrite to simplify

5/3 + (3/9 *8/4)

5/3 + (1/3 * 2/1)

5/3 + 2/3

Add ( they have like denominator)

7/3

Answer:

Step-by-step explanation:

85=5x+10

85-10=5x

75/5=x

15=x