50 points! Will mark the brainliest! What are the coordinates of the vertex of the graph of f(x)=2|x−3|?Enter your answer in the boxes.

Answer:

The number of marbles Richard has 24 and John has 6.

Step-by-step explanation:

Richard has four times as many marbles as john.

If Richard have 18 to John they would have the same number.

Now, to find number of marbles each has.

Let the marbles of John be .

And the marbles of Richard be

According to question:

Subtracting both sides by we get:

Dividing both sides by 3 we get:

Marbles of John =

Marbles of Richard =

Therefore, the number of marbles Richard has 24 and John has 6.

Answer:

d) the height of red prism is three times the height of the blue prism.

Step-by-step explanation:

i) the volume of a rectangular prism is given by area of base height.

ii) volume of the blue prism is = (base of blue prism) (height of blue prism)

iii) volume of red prism is = (base of red prism) ( height of the red prism)

               = ( base of blue prism)  ( height of red prism)

iv) it is also given that

   volume of blue prism = volume of red prism

   ⇒    (base of blue prism) (height of blue prism) = (base of red prism) (height of red prism)

⇒(base of blue prism) (height of blue prism) = ( base of blue prism) (height of red prism)

⇒ (height of blue prism) =  (height of red prism)

∴ height of red prism = 3 height of blue prism

Therefore the correct option is

d) the height of red prism is three times the height of the blue prism.

(x, y ) = (- 6, 3 )

Since both equations express y in terms of x, we can equate them

2x + 15 = - x + 1

( add x to both sides )

x + 15 = 1 ( subtract 15 from both sides )

x = - 14

( multiply both sides by 3 and divide by 7 )

x = ( 3 × - 14 )/7 = - 6

substitute x = - 6 into either of the 2 equations for y- coordinate )

y = ( 2 × - 6 ) + 15 = 3

solution : (x, y ) = ( - 6, 3 )

The eighth grade class at grade school has 15 girls and 14 boys. The different boy-girl dates that can be arranged is 210 boy-girl.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

The eighth grade class at grade school has 15 girls and 14 boys.

The different boy-girl dates can be arranged

15 x 14 = 210

210 boy-girl

Hence, The different boy-girl dates that can be arranged is 210 boy-girl.

Learn more about the unitary method;

brainly.com/question/23423168

#SPJ2