Answer: 40.27
Step-by-step explanation:
Let their September bill be x
Therefore, the October bill will be = x - 3.87.
Therefore, the addition of both bills will be:
x + (x - 3.87) = 237.75
x + x - 3.87 = 237.75
2x - 3.87 = 237.75
2x = 237.75 + 3.87
2x = 241.62
x = 241.62/2
x = 120.81
Therefore, September bill was 120.81
Since the 3 students share the bull equally, the amount owed by each will be:
= 120.81 / 3
= 40.27
Each person owes 40.27
Answer:
13
Step-by-step explanation:
Given parameters:
Number of oranges processed by grower = 2330 oranges
Number of oranges per crate = 96
Unknown:
Number unpacked oranges
Solution:
To solve this problem, divide the total number of oranges by the number of oranges per crate;
Number of unpacked oranges = 
Number of unpacked oranges = 24 
The remaining unpacked is 13.
Answer:
False; they are equal.
Step-by-step explanation:
The equation is x + 20 > 4x - 1.
First, do the opposite of -1 and add one to the other side while -1+1 cancels out. Now it's x+21 > 4x. Now subtract x from both sides. Positive x minus negative x cancels out and 4x minus x or 1x is 3x. Now you're left with 21> 3x. Now do the inverse operation of multiplication and divide both sides by 3. Now the 3x over 3 cancels out and 21 divided by 3 is 7. So x is 7. If you substitute it in. It will be 7+20 which is 27 which is great than 4(7)-1 which is 28-1. 28-1 is 27. So, the equation is false. They are equal.
Answer
The vertex is at point (-3, -1)
The axis of symmetry is x = -3
Explanation
We are asked to find the vertex and axis of symmetry of the equation given.
f(x) = x² + 6x + 8
The vertex of a quadratic equation is the point where the graph of the quadratic equation changes from sloping negatively to sloping positively and vice-versa.
The axis of symmetry represents the straight line that divides the graph of the quadratic equation into two mirror parts that are similar to and are mirror images of each other. This axis of symmetry usually passes through the vertex.
To find the vertex, it is usually at the turning point where the first derivative of the quadratic equation is equal to 0.
(df/dx) = 0
f(x) = x² + 6x + 8
(df/dx) = 2x + 6
At the vertex
(df/dx) = 2x + 6 = 0
2x = -6
Divide both sides by 2
(2x/2) = (-6/2)
x = -3
We then insert this into the equation to get the corresponding f(x) value.
f(x) = x² + 6x + 8
f(-3) = (-3)² + 6(-3) + 8
= 9 - 18 + 8
= -1
Hence, the vertex is at point (-3, -1)
And since the axis of symmetry has to pass through the vertex,
The axis of symmetry is x = -3
Hope this Helps!!!
