Answer:
22. x = 0.228 or 8.772
24. x = -0.869 or 1.535
Step-by-step explanation:
The solutions are all irrational, so it would be tedious arriving at a solution using tables. I prefer a graphing calculator for this.
The first attachment shows the problems with graphs of left-side and right-side expressions. The points of intersection are the solutions.
The second attachment shows the difference of the two sides of the equation. The x-intercepts of that difference are the solutions. The graph also shows the vertex of the quadratic, which lets you write down the exact solution. For y = a(x -h)^2 +k, the solutions are x = h ±√(-k/a) where (h, k) is the vertex and 'a' is the leading coefficient of the quadratic.
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22. x = 0.228 or 8.772
graphs in first attachment are red and orange
graph in second attachment is black
x = 4.5 ± √18.25
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24. x = -0.869 or 1.535
graphs in first attachment are blue and purple
graph in second attachment is red ('a' = 3)
x = (1 ±√13)/3
Answer:
<em>9 sheep and 5 goats</em>
Step-by-step explanation:
s + g = 14
125s + 75g = 1500
125( 14 - g ) + 75g = 1500
1750 - 125 g + 75g = 1500
50g = 250
g = <em>5 goats</em>
s = <em>9 sheep</em>
Answer:
B. The brothers will never have the same amount of money.
Step-by-step explanation:
When we get to the final step and get 3=7, which we know it not true, this means there is no solution.
Answer: 74.8%
This answer is approximate.
The value is rounded to the nearest tenth of a percent.
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Explanation:
Let,
X = area of the larger circle
Y = area of the smaller circle
Z = area of the shaded region = X - Y
The goal is to compute the ratio Z/X to get the answer we want
Let's find area of the larger circle
Area of circle = pi*(radius)^2
A = pi*r^2
X = pi*8.01^2
X = 64.1601pi
This is the exact area in terms of pi
Now repeat for the smaller circle
A = pi*r^2
Y = pi*4.02^2
Y = 16.1604pi
Subtract those results to find the value of Z
Z = X-Y
Z = 64.1601pi-16.1604pi
Z = 47.9997pi
This is the exact area of the red donut region
Divide Z over X to get the probability of landing in the red region
Z/X = (47.9997pi)/(64.1601pi)
Z/X = (47.9997)/(64.1601) <--- note how the pi terms cancel
Z/X = 0.74812 which is approximate
Convert to a percent
Move the decimal point 2 spots to the right
0.74812 ---> 74.812%
Then round this to one decimal place
74.812% ---> 74.8%
Answer:
0/-1
Step-by-step explanation:
