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Anestetic [448]
3 years ago
5

Explain why 3x^2+kx-1 is never always positive for any value of k

Mathematics
1 answer:
lianna [129]3 years ago
8 0
Hello : 
<span>(3x²+kx-1) is a quadratic polynome when : a =3  , b=k , c= -1
the discriminat  </span>Δ = b²-4ac ≥ 0 because ac = -3 <span><<span> 0
-4ac </span></span>>0  and b²<span>≥0
the </span> quadratic polynome has :2 solutios or 1 solution (Change of sign)
conclusion :   <span>is never always positive for any value of k</span>
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Answer:

Step-by-step explanation:

a) The rate of change is referred to as slope

Slope = change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

From the graph,

y2 = 160 = final value of y

y 1 = 260 = initial value of y

x2 = 10 = final value of x

x1 = 5 = initial value of x.

Slope = (160 - 260)/10 - 5)=-100/5

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b) initial height of the biker above the Canyon was 360 feets. It is reducing as the time is increasing.

c) it took the hiker 18 minutes to reach the Canyon floor.

d) After 9 minutes, the hiker was 180 feets above the Canyon floor

e) it took 7 minutes for the hiker to reach 220 feets above the Canyon floor.

f) The domain is the set of all possible values of the independent variable and the independent variable is time.

The time between which the hiker was at the maximum height and the minimum height lies between 18 minutes and 0 minutes.

The domain is 0 lesser than or equal to t lesser than or equal to 18.

The range is the set of all possible values of the dependent variable and the dependent variable is height of the hiker above the Canyon. The maximum height of the hiker was 360 feet and the minimum height of the hiker was 0 feet. Let the height be h.

The range is 0 lesser than or equal to h lesser than or equal to 360

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3 years ago
The amount of money,y, in cash box after x tickets are purchased for carnival games. The slope of the line is 1/4 and the y-inte
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Amount of money received when x tickets are sold=$Y

Number of tickets sold=X

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Expressing the above statement in terms of linear equation in two variable i.e a line is

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BlackZzzverrR [31]

Answer:

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A = 200 square inches

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2 years ago
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yKpoI14uk [10]
The answer to your question is -32.9
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