If the value of 2x 3 is 2, then what is the value of x?

Emilia and Darnell are arguing over who makes the best fruit punch. Emilia likes to use 2 cups of grape juice for every 5 cups o

vodka [1.7K]

Answer:

No

Step-by-step explanation:

Emilia = 2 cups of grape juice for every 5 cups of pineapple juice

We can simplify this to 1 cup of grape juice for every 2 1/2 cups of pineapple juice

Darnell = 1 cup of grape juice for every 4 cups of pineapple juice

You can see the difference

Hope this helps a bit...

7 0

3 years ago

Graph the equation by plotting three

Jlenok [28]

Answer:

-3y = 2x - 7

y = -2/3x - 7/3

Step-by-step explanation:

y cannot be negative nor a whole number.

To get y by itself you have to divide the -3 over to the other side.

6 0

3 years ago

A restaurant operator in Accra has found out that during the lockdown,if she sells a plate of her food for Ghc 20 each,she can s

ella [17]

The demand equation illustrates the price of an item and how it relates to the demand of the item.

The slope of the demand function is -1/2
The equation of the demand function is: $R(x) = (300 - 10x) \times (20 + 5x)$
The price that maximizes her revenue is: Ghc 85

From the question, we have:

$Plates = 300$

$Price = 20$

The number of plates (x) decreases by 10, while the price (y) increases by 5. The table of value is:

$\begin{array}{cccccc}x & {300} & {290} & {280} & {270} & {260} \ \\ y & {20} & {25} & {30} & {35} & {40} \ \end{array}$

The slope (m) is calculated using:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

So, we have:

$m = \frac{25-20}{290-300}$

$m = \frac{5}{-10}$

$m = -\frac{1}{2}$

The equation of the demand is as follows:

The initial number of plates (300) decreases by 10 is represented as: (300 - 10x).

Similarly, the initial price (20) increases by 5 is represented as: (20 + 5x).

So, the demand equation is:

$R(x) = (300 - 10x) \times (20 + 5x)$

Open the brackets to calculate the maximum revenue

$R(x) =6000 + 1500x - 200x - 50x^2$

$R(x) =6000 + 1300x - 50x^2$

Equate to 0

$6000 + 1300x - 50x^2 =0$

Differentiate with respect to x

$1300 - 100x =0$

Collect like terms

$100x =1300$

Divide by 100

$x =13$

So, the price at maximum revenue is:

$Price= 20 + 5x$

$Price= 20 + 5 * 13$

$Price= 85$

In conclusion:

The slope of the demand function is -1/2
The equation of the demand function is: $R(x) = (300 - 10x) \times (20 + 5x)$
The price that maximizes her revenue is: Ghc 85

Read more about demand equations at:

brainly.com/question/21586143

3 0

3 years ago

Determine the resulting polynomial: f ( x ) = 7 x + 9 f(x)=7x+9 g ( x ) = − 5 x 2 − 2 x − 8 g(x)=−5x 2 −2x−8 Find: f ( x ) ⋅ g (

S_A_V [24]

:) Brainliest pls?

Answer:

f(x) * g(x) = -35x^3 - 59x^2 - 74x - 72

Step-by-step explanation:

If f(x) = 7x+9 ang g(x) = -5x^2 - 2x - 8, then

f(x) * g(x) will be:

(7x+9)(-5x^2 - 2x -8)

f(x) * g(x) = -35x^3 - 59x^2 - 74x - 72

7 0

3 years ago

Write an equation of the line passing through the point A(2, 0) that is parallel to the line y = 3x−5

satela [25.4K]

Answer:

y = 3x-6

Step-by-step explanation:

y = 3x−5

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

m =3

Parallel lines have the same slope

We have the slope m=3 and a point (2,0)

y = mx+b

y = 3x+b

Substituting the point into the equation to solve for b

0 = 3(2)+b

0 = 6+b

b = -6

y = 3x-6

4 0

3 years ago

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