Answer:
The probability of rolling a 9 or higher is is 10/36. You can simplify this this fraction to 5/18.
Step-by-step explanation:
Answer:
the vertex is:
(2, -1)
Step-by-step explanation:
First solve the equation for the variable y

Add 16y on both sides of the equation


Notice that now the equation has the general form of a parabola

In this case

Add
and subtract
on the right side of the equation

Factor the expression that is inside the parentheses

Divide both sides of the equality between 16


For an equation of the form

the vertex is: (h, k)
In this case

the vertex is:
(2, -1)
Here are the equations that are represented by the scenarios:
4x + 2y = $14 (Joe)
3x + y = $9 (Becca) or y = 9 - 3x
To find the cost of each burger and fry you will solve the second equation for y and substitute it in for the y in the first equation. This will put everything in terms of x, the price of a fry.
4x + 2(9 - 3x) = $14
4x + 18 - 6x = 14
-2x +18 = 14
-18 -18
<u>-2x</u> = <u>-4</u>
-2 -2
x = 2
Fry cost $2, and burgers cost (9 - 3 x 2) or $3.
Answer:
-x² + 12x + 3
Step-by-step explanation:
Step 1: Write expression
5x² + 9x + 3 - (6x² - 3x)
Step 2: Distribute
5x² + 9x + 3 - 6x² + 3x
Step 3: Combine like terms
-x² + 12x + 3
Answer: y = 48/x
Step-by-step explanation:
y ∝ 1/x
Introducing the proportionality constant, we have
y = k/x
substituting the value of x and y , we have
6 = k/8
k = 48
Therefore the equation becomes
y = 48/x