find the formula for g(x) if it is known that (x-3)=2x-6

Answer:

x = 12

Step-by-step explanation:

Reference angle = 45°

Opposite side length = x

Hypotenuse = 12√2

Thus, to find x, apply trigonometric ratio.

[tex] sin(45) = \frac{x}{12\sqrt{2}} [/tex]

Multiply both sides by 12√2

[tex] sin(45)*{12\sqrt{2}} = x [/tex]

[tex] \frac{1}{\sqrt{2}}*{12\sqrt{2}} = x [/tex] (sin 45 = 1/√2)

[tex] \frac{1*12\sqrt{2}}{\sqrt{2}} = x [/tex]

[tex] \frac{12\sqrt{2}}{\sqrt{2}} = x [/tex]

12 = x

x = 12

Answer:

560 cubes

Step-by-step explanation:

Is 2 213 supposed to read 2 1/3? First calculate the volume of the box

V_box = 8/3 * 10/3 * 7/3 = 560/27 cubic inches

Now calculate the volume of your 1/3 inch cube:

V_cube = 1/3 * 1/3 * 1/3 = 1/27 cubic inches

Now divide the V_box by V_cube:

Number of boxes = (560/27) / (1/27) = (560/27) * (27/1) = 560 cubes

Answer:

where is the graph??

Step-by-step explanation:

Answer:

An equation in the slope-intercept form is:

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where  m is the rate of change or slope and b is the y-intercept

Given

Given that every month Monica withdraws $15 from this account for her contact lenses

Given that after 3 months she has $255 left in her account.

i.e. (3, 255)

substituting [tex]m = 15[/tex], [tex]x = 3[/tex] and [tex]y = 255[/tex] in the slope-intercept form to determine the y-intercept

[tex]y = mx+b[/tex]

[tex]255 = 15(3) + b[/tex]

switch sides

[tex]15(3) + b = 255[/tex]

[tex]45 + b = 255[/tex]

[tex]b = 255 - 45[/tex]

[tex]b = 210[/tex]

Thus, the y-intercept b = 210

Now, substituting [tex]m = 15[/tex] and [tex]b = 210[/tex] in the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

[tex]y = 15x+210[/tex]

Hence, an equation in the slope-intercept form is:

YEH ITS WRONG SORRY DON'T REPORT ME!

1 3/4 or 7/4

Ensure to heart if this helps$

Answer:

3-1*1/4

3-1/4

12-1-(/4)

11/4

Answer:

After investing for 3 years at 7% interest, your $600 investment will have grown to $735.03

Answer:

24/9 or $2.67/year

Step-by-step explanation:

Answer:

1) 1/2

2) 3

3)-5

Step-by-step explanation:

to find slope: divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points. so here on 1) you do (3-2)/(2-0)= 1/2.

2) (7-1)/(-1- (-3))= 6/2=3.

3) (-15-0)/(7-4)= -15/3=-5

Answer:

1) immigrant

2) citizen

3) native born-citizen

4) quotas

5) census

6) birth rate

Step-by-step explanation:

..

Answer:

4x4 is 16

Step-by-step explanation:

mmmm lemme guess.. is it 736??:o

Answer:

Step-by-step explanation:

eighty three, three hundred and fifty seven,six hundred and ninty four

80+3=83,300+50+7=357,600+90+4=694

This is the order.

Hope this helps!

Answer:

3.141592653589793238462643

Step-by-step explanation:

Pretty obvious.

what an "Nerd"

Answer:

w>2kg

Step-by-step explanation:

the weight is greater than 2kg.

Answer: E) 3x - y = 2

Step-by-step explanation:

Standard form is Ax + By = C

Ax must be positive

Hope this helps <3

Step-by-step explanation:

Since N ≡ 0 (mod 2) and N ≡ 0 (mod 3),

N ≡ 0 (mod (2*3)) ≡ 0 (mod 6).

Hence when N is divided by 6,

the remainder is 0. (A)

Answer:  The last expression shows the result of 3  so it models the distance between x and y.

Step-by-step explanation:

First you will have to  find the distance between the two points by square the x coordinates and squaring the y coordinates to find their sum .  

-4 - (-1) = -3

-5 - ( -5) = 0

-3^2 + 0^2 = d^2   where d  is the distance

9  = d^2

d= 3  

The distance is 3 units  

Now evaluate which expression have a solution as 3.

The last expression is the answer

the absolute value for -4 is 4   , and the absolute value for -1 is 1  and 4 minus 1 is 3.

Answer:

Its A) y=3/2x

Step-by-step explanation:

-3/2x would be the exact opposite of 3/2x it would be the same line but facing the left side because its on the negative side. And the others are not the same as 3/2x.

Sorry if i could not explain that well, but I am 99% sure its A, y=3/2x

Answer:

Louis reads faster

Step-by-step explanation:

See attachment for complete question.

The table represents Louis data while the graph represents Ricardo's data.

To solve this question, we simply calculate the slope of the table/graph,

The slope (m) is calculated by:

[tex]m=\frac{y_2 - y_1}{x_2 - x_1}[/tex]

For Louis:

From the table, we pick any corresponding x and y values

[tex](x_1,y_1) = (2,436)[/tex]

[tex](x_2,y_2) = (6,1308)[/tex]

[tex]m_1 = \frac{1308 - 436}{6-2}[/tex]

[tex]m_1 = \frac{872}{4}[/tex]

[tex]m_1 = 218[/tex]

For Ricardo:

From the graph, we pick any corresponding x and y values

[tex](x_1,y_1) = (2,300)[/tex]

[tex](x_2,y_2) = (6,900)[/tex]

[tex]m_2 = \frac{900- 300}{6-2}[/tex]

[tex]m_2 = \frac{600}{4}[/tex]

[tex]m_2 = 150[/tex]

So, we have:

Louis: [tex]m_1 = 218[/tex]

Which means 218 words per minutes

Ricardo: [tex]m_2 = 150[/tex]

Which means 150 words per minutes

Answer:

0.0002

Step-by-step explanation:

hope this helps

Answer:

3

Step-by-step explanation:

The slope is 3 because when two lines are parallel, they have the same slope.

Answer:

Two lines that are parallel have the same slope. So in this case, the slope to the function parallel to f(x)= 3x+2 is equal to 3

Answer:

3.428 or 3 wholes 3/7

Step-by-step explanation:

6 : 7 = n : 4 : 2

6 : 7 = n : 4

6/7 = n/4

7n = 24

n = 24 /7

n = 3. 428 or 3 wholes 3/7

Answer:

-1/2

Step-by-step explanation:

In a linear relationship, the rate of change of one variable with respect to the other is constant. When we talk about change, we're looking for a difference of values.

If we look at the first and second rows, the change in x is 1 - (-1) = 2, while the change in y is 9 - 10 = -1. Usually we refer to these changes as Δx and Δy (read like "delta-x" and "delta-y"), and the rate of change is the number we get by dividing one of these by the other.

The rate of change we're used to seeing, sometimes called the slope, is Δy/Δx. So, using the values we've already found:

[tex]\Delta{x}=2\\\Delta{y}=-1\\\Delta{y}/\Delta{x}=-1/2[/tex]

Answer:1/2

Step-by-step explanation:

Because the other guy said so and they seem smart so...yeah I would pick that one.

Answer:

EEEEEeeEEeEEEEEEEeEEEEEEEEEE eEEEEEEEEeEEEEeEeEeEEEEEeeeeeeeeEeeeeEeeeeEeeEeeeEeeEe a good day at work and I will

Answer:

x = 12

Step-by-step explanation:

130 + y = 180   {linear pair}

          y = 180 - 130

         y = 50°

3x - 6 +8x + 4 + 50 = 180        {Angle sum property of triangle}

3x + 8x - 6 +  4 + 50 = 180          {Combine like terms}

          11x + 48          = 180

                    11x        = 180 - 48

                          11x = 132

                            x = 132/11

x = 12°

Answer:

3

Step-by-step explanation:

If the wire is in a square and all the sides are 5 inches when you unfold the wire it will be 20 inches long so if the length of the wire ina regtangle is 7 then the width is 3

Answer: 3.

Step-by-step explanation: The answer is 3 because the original shape was a square with all of the sides with the length 5. Because there are 4 sides in a square, the perimeter of the square is 20(5+5+5+5). Now, the square has been reshaped into a rectangle. If one of the side lengths of the rectangle is 7, the opposite and parrallel side has to be 7. 7+7 is 14. Now the expression is perimeter = 14 + 2(missing width). If you plug in 3, that expression is now 14+6, which is 20. Therefore, the missing side width is 3.  

Answer:

Step-by-step explanation:

(3, 1) (6, -1)

(-1 -1)/(6-3) = -2/3

y - 1 = -2/3(x - 3)

y - 1 = -2/3x + 2

y = -2/3x + 3

Answer:

A´= (2, 3)

Step-by-step explanation: