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Nadya [2.5K]
1 year ago
12

the line y=2x-4 and the parabola y=x^2- 4 intersect in the standard x,y coordinate plane if point a s,t is at an intersection of

the line and the parabola what is the greatest possible value of s?
Mathematics
1 answer:
mylen [45]1 year ago
7 0
2x-4=x^2-4 
-4=x^2-2x-4 (start moving everything to one side)
x^2-2x=0 (the 4 cancel out)
x(x-2)=0 (factor out an x)
x=0 & x=2 (solved for x)

y=2x-4 (pick one of the equations)
y=2(0)-4 (plug in x)
y=-4
(0,-4)

y=2(2)-4 (plug in the second point)
y=0
(2,0)

The greatest possible value of s is 2. (2,0)


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Copy and complete each table.
LUCKY_DIMON [66]

Answer:

5th term of sequence = -18

nth term of the sequence = -5n + 7

Step-by-step explanation:

Difference between successive and previous term of the output,

T_{2}-T_{1} = -3 - 2

           = -5

Similarly, T_{3}-T_{2}=-8-(-3)

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There is a common difference 'd' = (-5)

Therefore, the sequence formed will be an arithmetic sequence.

First term of the sequence 'a' = 2

Explicit formula of an arithmetic sequence, T_{n} = a + (n - 1)d  [n = input value]

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5th term of this sequence,

T_{5}=2+(5-1)(-5)

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Therefore, 5th term of sequence = -18

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1 year ago
In the diagram, the radius of the outer circle is 2x cm and the radius of the inside circle is 6 cm. The area of the shaded regi
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The picture in the attached figure

we know that
Area of circle=pi*r²
area of the shaded region=364*pi cm²
area of the shaded region=area of the outer circle -area of the<span> inside circle

</span>area of the outer circle=pi*[2x]²----> 4*x²*pi cm²
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x=10 cm

4 0
1 year ago
In your internship with Lewis, Lee, &amp; Taylor Inc. you have been asked to forecast the firm's additional funds needed (AFN) f
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Answer:

Option B. -$22,000

Step-by-step explanation:

Last year data :

Sales = $200,000

Profit margin = 20%

Total assets = $120,000

Accounts payable = $50,000

Accruals = $20,000

Sales growth rate = 40%

Calculate total increase in total assets :

Increase in total assets = Total assets × Growth rate

                                       = 120,000  × 40%

                                       = $48,000

Calculate increase in spontaneous liabilities :

Increase in spontaneous liabilities = (50,000 + 20,000)  ×  40%

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Calculate increase in retained dividend :

calculate the increase sales :

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calculate profit margin for next year on increase sales :

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Calculate retained earning :

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Calculate AFN :

AFN = Increase in assets - Increase in liabilities - increase in retained earning

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