Answer: Ist integer = 32
2nd integer = 34
Step-by-step explanation: SEE THE ATTACHED
Answer: In the chart, put 6 in place of the question mark.
The equation should be something like w = 2/3 p
W is the number of quarts of water. P is the number of quarts of Pineapple juice.
This week they will need 3 times the previous week so 18 quarts of pineapple juice and 12 quarts of sparkling water.
Step-by-step explanation:
If the basic recipe is 2 water to 3 juice, and they used 4 quarts if water, you can see that is <u>double the amount of</u> water so you need <u>double the amount </u> of juice. 2 times 3 is 6.
<em>Unit rate</em> means for ONE quart of juice, how much sparkling water is used. that should be 1 Pineapple Juice for 2/3 Sparkling water
OR
for EACH quart of sparkling water, how much juice do you need.
that would be 1 unit of Sparkling Water for 1 1/2 units of Pineapple Juice
Answer:
f(x)=(x-1)^2+5 with domain x>1 and range y>5 has inverse g(x)=sqrt(x-5)+1 with domain x>5 and range y>1.
Step-by-step explanation:
The function is a parabola when graphed. It is in vertex form f(x)=a(x-h)^2+k where (h,k) is vertex and a tells us if it's reflected or not or if it's stretched. The thing we need to notice is the vertex because if we cut the graph with a vertical line here the curve will be one to one. So the vertex is (1,5). Let's restrict the domain so x >1.
* if x>1, then x-1>0.
* Also since the parabola opens up, then y>5.
So let's solve y=(x-1)^2+5 for x.
Subtract 5 on both sides:
y-5=(x-1)^2
Take square root of both sides:
Plus/minus sqrt(y-5)=x-1
We want x-1>0:
Sqrt(y-5)=x-1
Add 1 on both sides:
Sqrt(y-5)+1=x
Swap x and y:
Sqrt(x-5)+1=y
x>5
y>1
