Answer:
Part 1) The number of minutes in a month must be greater than 50 in order for the plan A to be preferable
Part 2) The number of minutes in a month must be equal to 50 minutes
Step-by-step explanation:
<u><em>The question is</em></u>
Part 1) How many minutes would Kendra have to use in a month in order for the plan A to be preferable? Round your answer to the nearest minute
Part 2) Enter the number of minutes where Kendra will pay the same amount for each long distance phone plan
Part 1)
Let
x ---> the number of minutes
we have
<em>Cost Plan A</em>
<em>Cost Plan B</em>
we know that
In order for plan A to be cheaper than plan B, the following inequality must hold true.
cost of plan A < cost of plan B
substitute
solve for x
subtract 3x both sides
divide by 2 both sides
Rewrite
therefore
The number of minutes in a month must be greater than 50 in order for the plan A to be preferable
Part 2)
Let
x ---> the number of minutes
we have
<em>Cost Plan A</em>
<em>Cost Plan B</em>
we know that
In order for plan A cost the same than plan B, the following equation must hold true.
cost of plan A = cost of plan B
substitute
solve for x
therefore
The number of minutes in a month must be equal to 50 minutes
Answer:
Step-by-step explanation:
A hyperbola is the locus of a point such that its distance from a point to two points (known as foci) is a positive constant.
The standard equation of a hyperbola centered at the origin with transverse on the x axis is given as:
The coordinates of the foci is at (±c, 0), where c² = a² + b²
Given that a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2√5. Since the x intercept is ±4, this means that at y = 0, x = 4. Substituting in the standard equation:
The foci c is at +/-2√5, using c² = a² + b²:
Substituting the value of a and b to get the equation of the hyperbola:
Answer:
130 feet or 39.6m
Step-by-step explanation:
for Marely's first rectangular park, L=54 and B= 38
Total perimeter of distance walked in first rectangular park is 2(L+B), which is 2(54+38) =184 feet
For Marely's second rectangular park, L= 32 and B=22
Total perimeter of second distance 2(L+B), which is 2(32+22) = 108 feet
Total perimeter covered by Marely = (P1+P2) 184+108 = 292 feet
Marely's brother = 2(L+B)
2(48+33) = 162 feet
Hence, difference is 292-162 = 130 feet or 39.6m
Answer:
The player with the most runs had a rush of 1,240 yards
Step-by-step explanation:
In this question, we are asked to calculate the number of yards that was rushed by one of two person given their combined run and an extra information.
Firstly, let the person that had the smaller number of rush have a rush of x rushes. The second person has a rush of 4 times the other. This makes a number of 4x rushes
By adding both together, we have a total of 1550 yards
Mathematically, this means that x + 4x = 1550
5x = 1550
x = 1550/5 = 310 rushes
The second player had a rush of 4x and that is 4 * 310 = 1,240 rushes
Hello:
x²-4x-1=0
(x²-2(2x) +2²)-2²-1=0
(x-2)² -5 = 0
(x-2)²-(<span>√5)² = 0
(x-2-</span>√5)(x-2+√5) = 0
(x-2-√5=0) or (x-2+√5 = 0)
x=2+√5 or x =2-√5
