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Irina-Kira [14]
3 years ago
7

Determine the range of the function.

Mathematics
1 answer:
HACTEHA [7]3 years ago
5 0
Answer is A all real numbers
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The area of the shaded circle below is 78.5 square inches. The area of the large circle is 314 square inches.
umka2103 [35]
From the given description it seems that the small shaded circle lies within the larger circle as shown in image below:

The probability that a point choosen at random lies within the shaded area = Area of shaded region / Total area of the bigger cricle

So,
Probability = 78.5/314 = 0.25

Thus there is 0.25 or 25% probability that the point chosen at random will lie inside the shaded region. 

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7 yards converted {}

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Help which one is the answer ??
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The answer is A.) A smaller percentage of second-lunch students (18%) eat outside.

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Problem: – 12 = - Зу
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Write the equation of the parabola below
lorasvet [3.4K]
Answer:
Equation is: y = 0.5x² + 0.5x - 3

Explanation:
general form of the parabola is:
y = ax² + bx + c

Now, we will need to solve for a, b and c.
To do this, we will simply get points from the graph, substitute in the general equation and solve for the missing coefficients.

First point that we will use is (0,-3). 
y = y = ax² + bx + c
-3 = a(0)² + b(0) + c
c = -3

The equation now becomes:
y = ax² + bx - 3

The second point that we will use is (2,0):
y = ax² + bx - 3
0 = a(2)² + b(2) - 3
0 = 4a + 2b -3
4a + 2b = 3
This means that:
2b = 3 - 4a
b = 1.5 - 2a ...........> I

The third point that we will use is (-3,0):
y = ax² + bx - 3
0 = a(-3)² + b(-3) - 3
0 = 9a - 3b - 3
9a - 3b = 3 ...........> II

Substitute with I in II and solve for a as follows:
9a - 3b = 3
9a - 3(1.5 - 2a) = 3
9a - 4.5 + 6a = 3
15a = 7.5
a = 7.5 / 15
a = 0.5

Substitute with the value of a in equation I to get b as follows:
b = 1.5 - 2a 
b = 1.5 - 2(0.5)
b = 0.5

Substitute with a and b in the equation as follows:
y = 0.5x² + 0.5x - 3

Hope this helps :)
7 0
3 years ago
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