Answer:
umm
Step-by-step explanation:
u fogot to send the pic
Lance invited 36 people to his party.
<u>Step-by-step explanation:</u>
It is given that,
- Lance bought 12 quarts of lemonade.
- Everyone who came to his party could have exactly 1/3 quart.
We know that,
The total quarts of lemonade available for the party = 12
Each person in the party consumes = 1/3 quart.
We need to find out how many people did Lance invited to his party.
<u>To find the number of people :</u>
Let us consider 'x' be the number of people invited to the party.
Total lemonade = number of people × lemonade for each person.
⇒ 12 = x × 1/3
⇒ 12×3 = x
⇒ x = 36 people
Therefore, Lance invited 36 people to his party.
The interval over which the given quadratic equation decreases is: x ∈ (5, ∞).
<h3>How to find the interval of quadratic functions?</h3>
Usually a quadratic graph function decreases either when moving from left to right or moving downwards.
In the given graph, we can see that the coordinate of the vertex is (5, 4) after which the curve goes in the downward direction.
Thus, for the values of x greater than 5, the function decreases and so we conclude that the interval in which the quadratic equation decreases is: (5, ∞).
Read more about Quadratic functions at: brainly.com/question/18030755
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Answer:
x = -5, 2
Step-by-step explanation:
The first step to factor the equation is removing any factors/like terms that all of the variables share.
In the equation 
, all numbers are multiples of 2, therefore you can factor out 2 from to equation
Next, you can factor the equation in the parenthesis. Since x^2 is not multiplied by anything, you know that the factors of x^2 must be x and x. Therefore, the two factors of -10 must add up to 3. The only two factors of -10/x that add up to 3 are 5 * -2.
The factors of the equation are then (2)(x+5)(x-2)
Lastly, set up only the factors containing a x to 0 in order to solve for x-intercept.
x+5 = 0; x= 0-5 ; x = -5
x - 2 = 0; x = 0 + 2; x = 2
Answer:
The inverse function of ![\sqrt{3]{x} - 8](https://tex.z-dn.net/?f=%5Csqrt%7B3%5D%7Bx%7D%20-%208)
is 
Step-by-step explanation:
Inverse of a function:
To find the inverse of a function 
, basically, we have to reverse r. We exchange y and x in their positions, and then we have to isolate y.
In your exercise:
![y = \sqrt[3]{x} - 8](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7Bx%7D%20-%208)
Exchanging x and y, we have:
![x = \sqrt[3]{y} - 8](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%5B3%5D%7By%7D%20-%208)
![x + 8 = \sqrt[3]{y}](https://tex.z-dn.net/?f=x%20%2B%208%20%3D%20%5Csqrt%5B3%5D%7By%7D)
Now we have to write y in function of x
![(x+8)^{3} = (\sqrt[3]{y})^{3}](https://tex.z-dn.net/?f=%28x%2B8%29%5E%7B3%7D%20%3D%20%28%5Csqrt%5B3%5D%7By%7D%29%5E%7B3%7D)
So, the inverse function of is
