Equation of cost per month: 39.95+0.35((x-500)=>0)=cost. (x=minutes of usage)
Explanation: The cell phone plan, at the start of a month costs $39.95, which is graph terms is the Y intercept. Thus the "39.95+" at the start of the equation. Since the first 500 minutes is free, then the cost of the plan must start after these 500 minutes, which is why there is a -500 for the amount of minutes used, but because the amount of minutes can be less than 500, which will result to a negative number (which can not happen, because these minutes are free), we must add a "greater than or equal to 0" sign at the end of t-500, so that the result must be 0 minutes or more. Since the cost of every minute after the first 500 minute costs $0.35, we must add that to the amount of minutes of usage that have passed, thus the 0.35x. All the results to 39.95+0.35((x-500)=>0)=cost in dollars
as for the bill of $67.70 questions, we simply have to plug this into the equation, making:
39.95+0.35((x-500)=>0)=$69.70
-39.95 -39.95
0.35((x-500)=>)=$29.75
/0.35 /0.35
x-500=85
+500 +500
x=585
So the answer is that it takes 585 minutes of usage to receive a bill of $69.70.
This is the concept of trigonometry, to get the horizontal length we use the formula:
cos θ=(Adjacent)/(hypotenuse)
θ=6°
adjacent=x
hypotenuse=170m
thus the value of x will be:
x/170=cos6
hence:
x=170 cos 6
x=169.06872 meters
Answer: 169.06872 m
Answer:
1.) up
2.) (-2,-5)
3.) x = -2
4.) (-2,-5)
5.) y = -5
6.) -∞ < x < ∞
7.) -5 < y < ∞
8.) (0,0)
9.) (0,0) and (-4,0)
10.) two solutions
Step-by-step explanation:
1.) because the parabola opens upward and the vertex is down
2.) the lowest point of the parabola is (-2,-5)
3.) If a line was drawn through the point x = -2, the two halves of the parabola would look symmetrical ( the same on both sides).
4.) The minimum point on the graph is ( -2,-5), because that is the lowest point on this upward parabola, and we can not determine the maximum.
5.) The minimum value of y is y = -5, because that is the lowest value of y on this graph, and we can not determine the maximum.
6.) Because the arms of the parabola continue traveling through negative infinity and positive infinity on the x-axis, the domain is -∞ < x < ∞.
7.) The arms of the parabola go from y = -5 to infinity, so the range of the parabola is -5 < y < ∞.
8.) The parabola first crosses the y-axis at the point (0,0)
9.) The parabola first crosses the x-axis at the points (0,0) and (-4,0)
10,) The solution to the parabola is the variable x. The solutions (x intercepts) of the parabola are x = 0 and x = -4.
Does this help you?
Expression A gives the correct probability.
On the first draw, there is a 4/12 chance of choosing a boiled egg because there are 4 boiled eggs and a total of 12 eggs to choose from.
On the second draw, there is a 3/11 chance of choosing a boiled egg because there are 3 boiled eggs and a total of 11 eggs to choose from.
Notice that
(1 - <em>x</em>)⁵ (1 + 1/<em>x</em>)⁵ = ((1 - <em>x</em>) (1 + 1/<em>x</em>))⁵ = (1 - <em>x</em> + 1/<em>x</em> - 1)⁵ = (1/<em>x</em> - <em>x</em>)⁵
Recall the binomial theorem:
Let <em>a</em> = 1/<em>x</em>, <em>b</em> = -<em>x</em>, and <em>n</em> = 5. Then
We get an <em>x</em> ³ term for
2<em>k</em> - 5 = 3 ==> 2<em>k</em> = 8 ==> <em>k</em> = 4
so that the coefficient would be