Suppose y varies directly with x. If y = 12 when x = 4, find x when y = 24.

Answer:

~Shoto todoroki here~

I think this would be your solved equation, -3x+5 making your X intercepts at: (5/3, 0) and your Y intercepts at: (0, 5)

The equation has Unique Solution.

The solution to a linear equation is the point at which the lines that represent the intersection of two linear equations are defined. In other words, the solution set for the system of linear equations is the set of all possible values for the variables that satisfy the given linear equation.

There are three ways to solve the set of linear equations.

Unique Solution, No Solution and Infinitely Many Solutions.

Given y = 1/2x - 2

x   0    4

y   -2    0

y = -3x + 5

x   0    2

y   5    -1

the graph is attached

solving by substitution

y = 1/2x - 2

y = -3x + 5

both equations are equal for y

1/2x -2 = -3x + 5

1/2x + 3x = 5 + 2

7/2x = 7

x = 2

and at x =2 y = -1

equation intersect at (2, -1) and have unique solution.

Hence there is Unique Solution for equations.

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Answer:

A: 11.69 square feet.

Step-by-step explanation:

11.2 + 0.49

= 11.69

Answer:

It Depend on how much the pop bundles/ rock bundles cost you need those numbers before you can dertermine the answer.

Step-by-step explanation:

Answer:

all of them are false

Step-by-step explanation:

i know

Answer:

True

Step-by-step explanation:

I just know off the internet. Hope this helps lol.

[tex]\text{view explanation pls}[/tex]

The first step is to write the line's equation in point-slope form

y-y1=m(x-x1)

y-0=4(x-3)

use the distributive property

y-0=4x-12

y=4x-12

Well, let's start with the y-intercept, which is -12 or (0, -12)

After plotting the point (0, -12) move up 4, over 1, up 4, over 1, up 4, over 1.

Do the same on both sides of the y-intercept.

hope helpful ~

Your answer would be 1,409,240

you would mutpliy 0 and 9 first and keep mutpliying until you get your answer

Answer:

The answer is 1,409,240

Step-by-step explanation:

I asume you are doing this by hand so here are the steps:

1. set up the problem- whitch would look like this

 10066

x    140

Now you have to mutiply the 1s place, by all the number places of the top number

Sence you have a zero in the 1s place you can just put a x, whitch would look like:

 10066

x    140

         x

Now you do that for all the places

     2 2                   * Make sure you rase the number to the next place

 10066                  4*6 = 24        24+4= 28  4*0=0

x     140

 40284x

Now that you mutiplyed the 4 by everything and got the answer of 402840 (the x is just a zero) then you leave it aside and mutiply the 1s by everything whitch is much simpler.

   10066                   1*6= 6     1*0= 0    1*1 =1

x       140

10066xx           (now you put 2 X's)

You get the answer of 1006600 and you add it with 402840

whitch is 1,409,240 (and that is your answer)

Answer:

aaa

Step-by-step explanation:

The equivalent expressions are: (4 + m) + 1 = m + 5, (m + 3) + 1 = m + 4, (2 + m) + 6 = 2 + m + 6 and (1 + m) + 2 = m + 3

Equivalent expressions are expressions that have equal values when evaluated

Start by evaluating each expression.

(4 + m) + 1

Remove the bracket

(4 + m) + 1 = 4 + m + 1

Evaluate

(4 + m) + 1 = m + 5

(m + 3) + 1

Remove the bracket

(m + 3) + 1 = m + 3 + 1

Evaluate

(m + 3) + 1 = m + 4

(2 + m) + 6

Remove the bracket

(2 + m) + 6 = 2 + m + 6

Evaluate

(2 + m) + 6 = m + 8

(1 + m) + 2

Remove the bracket

(1 + m) + 2 = 1 + m + 2

Evaluate

(1 + m) + 2 = m + 3

Hence, the equivalent expressions are: (4 + m) + 1 = m + 5, (m + 3) + 1 = m + 4, (2 + m) + 6 = 2 + m + 6 and (1 + m) + 2 = m + 3

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Answer:

Step-by-step explanation:

Answer:

6x+8=16

or,6x=16-8

or,6x=8

or,x=4 by 3

Answer:

x=19, y=[tex]19\sqrt{3}[/tex]

Step-by-step explanation:

This triangle is a 30-60-90 triangle.

This means the hypotenuse (38) is double the short leg (x)

x=19

Then use the pythagorean theorem

a^2+b^2=c^2

19^2+y^2=38^2

361+y^2=1444

Subtract 361 from both sides

y^2=1083

put it in square roots and simplify

[tex]\sqrt{1083} =19\sqrt{3}[/tex]

y=[tex]19\sqrt{3}[/tex]

To solve this problem:

  ⇒ need to use a special right triangle theorem:

Let's consider the information given:

   ⇒ one angle is 30 degrees

      ⇒ one angle marked with a little square signifies that it is 90

          degrees

          ⇒ (all the angles added up are 180 degrees) so the last angle is                  

               60 degrees

Therefore we have a '30-60-90' triangle which states:

           ⇒ half the length of the hypotenuse (longest side of the triangle)

              ⇒ x = 38/2 = 19

          ⇒ is the square root of 3 divided by 2 of the hypotenuse

              ⇒ y = [tex]\frac{\sqrt{3} }{2} *38=19\sqrt{3}[/tex]

Therefore:

    x = 19

    y = [tex]19\sqrt{3}[/tex]

Hope that helps!

Answer:

True

Step-by-step explanation:

Answer:

a, 10% of 300 = 30 b, 300 - 30 = 270

Step-by-step explanation:

1. 300 x 10 = 3,000

2. Move decimal place 2 to the left = 30.00

3.  Subtract 30 from 300 which is 270

Answer:

they would be about an hour

Step-by-step explanation:

Answer: x = 4

Step-by-step explanation:

this is just easier to show work for so i hope this helps :)

Answer:

2x<8

Step-by-step explanation:

we don't know the number so let the number be x then 2*x=2x therefore 2x<8

hello,

the answer would be 6 boxes

Answer:

-1<x<43

Step-by-step explanation:

Answer:

-5, -8, -4, -7, 0

Step-by-step explanation:

The height of the person when an anthropologist finds a human femur of length will be 183.94cm.

In order to calculate the height, the expression to use will be:

h = 1.876l + 84.512

h = 1.876(53) + 84.512

h = 99.428 + 84.512

h = 183.94

Therefore, the height is 183.94cm.

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Answer:

dy/dx = x + ¼

Step-by-step explanation:

Using differentiation to find the given value,

[tex]y = \frac{1}{2} {x}^{2} + \frac{1}{4} x + \frac{1}{8} \\ \frac{dy}{dx} = 2(\frac{1}{2}) {x}^{2 - 1} + 1(\frac{1}{4} ) {x}^{1 - 1} + 0 \\ = x + \frac{1}{4} [/tex]

Answer:

Solution 1: 1+1[tex]\sqrt{3}[/tex]

Solution 2: 1-[tex]1\sqrt{3}[/tex]

Step-by-step explanation:

x^2-2=2x

x^2-2x-2=0

Use quadratic equation.

(-b+-[tex]\sqrt{b^2-4ac}[/tex])/2a

(2+-[tex]\sqrt{(-2)^2-4*1*-2}[/tex])/2

(2+-[tex]\sqrt{(4+8})[/tex])/2

(2+-[tex]\sqrt{12}[/tex])/2

Solution 1: (2+2[tex]\sqrt{3}[/tex])/2=1+1[tex]\sqrt{3}[/tex]

Solution 2: 1-[tex]1\sqrt{3}[/tex]

Let's first move everything, the constants and variables to one side

    [tex]x^2-2=2x[/tex] ⇒ [tex]x^2-2x-2=0[/tex]

The second form is in the general form of the quadratic equation:

 ⇒ [tex]ax^2+bx+c = 0[/tex]

To find the value of x, we can use the quadratic formula:

  ⇒ look at the diagram attached

  [tex]x = \frac{-b-\sqrt{b^2-4ac} }{2a} =\frac{2-\sqrt{(-2)^2-4(1)(-2)} }{2*1} =\frac{2-\sqrt{4+8} }{2} =\frac{2-\sqrt{12} }{2} =\frac{2-2\sqrt{3}}{2} =1-\sqrt{3}[/tex]

  [tex]x = \frac{-b+\sqrt{b^2-4ac} }{2a} =\frac{2+\sqrt{(-2)^2-4(1)(-2)} }{2*1} =\frac{2+\sqrt{4+8} }{2} =\frac{2+\sqrt{12} }{2} =\frac{2+2\sqrt{3}}{2} =1+\sqrt{3}[/tex]  

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                  Answer

To answer the question, just answer in the order I solved it, because the question asks you to put the answer in ascending order which means from least to greatest.

Hope that helps!

Answer:

2 + 0i

Step-by-step explanation:

Our real number in this scenario would be 2. And since we don't need an imaginary part because we are just converting 2 by itself, we plug in 0 for the imaginary number.

Answer:

Step-by-step explanation:

168