Answer:
There are two pairs of solutions: (2,7) and (-1,4)
Step-by-step explanation:
We will use substitution.
y = x^2 + 3
y = x +5
Since the second equation is equal to y, replace y in the first equation with the second equation.
y = x^2 + 3
x + 5 = x^2 + 3
Rearrange so that one side is equal to 0.
5 - 3 = x^2 - x
2 = x^2 - x
0 = x^2 - x - 2
You may use quadratic formula or any form of factoring to find the zeros (x values that make the equation equal to 0).
a = 1, b = -1, c = -2
Zeros = 
and 
Zeros = 2 and -1
Now that you have your x values, plug them into the equations to find their corresponding y values.
y = x^2 + 3
y = (2)^2 + 3
y = 7
Pair #1: (2,7)
y = x^2 + 3
y = (-1)^2 + 3
y = 4
Pair #2: (-1,4)
Therefore, there are two pairs of solutions: (2,7) and (-1,4).
a. How many quarts did they make is 25 quarts of lemonade
b. How much money will they make if they sell it all is $62.50
a. Calculation to determine How many quarts did they make.
Given: 1 gallon =5 quarts
Hence:
5 gallons of lemonade=5×5 quarts of lemonade
5 gallons of lemonade=25 quarts of lemonade
b. Calculation to determine how much money will they make if they sell it all
Given: 1 quarts=$2.50
Hence:
25 quarts=25 ×$2.50
25 quarts=$62.50
Inconclusion:
a. How many quarts did they make is 25 quarts of lemonade
b. How much money will they make if they sell it all is $62.50
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Answer:
72% if I get it wrong then I'm really sorry
Step-by-step explanation:
Answer:
The unit rate is 0. 14 miles per minute.
Hence, option a is correct.
Step-by-step explanation:
Given
Running of 5/4 a mile in 9 minutes.
To determine
The unit rate = ?
Given that the running 5/4 a mile in 9 minutes.
i.e.
Miles covered in 9 minutes = 5/4 or 1.25 miles
Miles covered in 1 minute = 1.25/9
= 0. 14 miles per minute
Therefore, we conclude that:
The unit rate is 0. 14 miles per minute.
Hence, option a is correct.
Answer:
Domain is -3
Step-by-step explanation:
Given that coordinate of a graph is (-3, -2)
We have to find out the domain.
We know that if A and B are two sets, a mapping from A to B is the subset of cartesian product AxB.
Domain is the set of values of A which have images in B.
Use the above definition.
We have A = {-3,...} and B = {-2,....}
The mapping is from -3 to -2
Hence domain is -3
