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slega [8]
3 years ago
13

What are the zeros of the quadratic function f(x) = 2x2 + 8x – 3?

Mathematics
1 answer:
jenyasd209 [6]3 years ago
7 0

Answer:

  x=-2-\sqrt{\dfrac{11}{2}}\ \text{and}\ x=-2+\sqrt{\dfrac{11}{2}}

Step-by-step explanation:

My favorite way to go at this is to look at a graph. It shows the vertex at (-2, -11). Since the leading coefficient is 2, this means the roots are ...

  -2\pm\sqrt{\dfrac{11}{2}}

where the 2 in the denominator of the radical is the leading coefficient.

__

You can also use other clues:

  • the axis of symmetry is -b/(2a) = -8/(2(2)) = -2, so answer choices C and D don't work
  • the single change in sign in the coefficients (+ + -) tells you there is one positive real root, so answer choice B doesn't work.

The first answer choice is the only one with values symmetrical about -2 and one of them positive.

__

You may be expected to use the quadratic formula:

  x=\dfrac{-b\pm\sqrt{b^-4ac}}{2a}=\dfrac{-8\pm\sqrt{8^2-4(2)(-3)}}{2(2)}\\\\=\dfrac{-8}{4}\pm\dfrac{\sqrt{88}}{4}=-2\pm\sqrt{\dfrac{11}{2}}

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8 0
2 years ago
Find the differential equation of the family of tangent lines to the parabola y^2 = 2x
dusya [7]
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5 0
3 years ago
Which expressions are equivalent to 9x(2+y) ? Select each correct answer. 18x+9xy (9x⋅2)+(9x⋅y) 18x+(9x⋅y) 18xy 11x + y
kenny6666 [7]
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8 0
3 years ago
Read 2 more answers
Probability The average time between incoming calls at a switchboard is 3 minutes.if a call has just come in,the probability tha
Stels [109]

Answer:

a) 0.1535

b) 0.4866

c) 0.8111

Step-by-step explanation:

The probability that the next call come within the next t minutes is:

  • p(t) = 1 -e ^{- t/3}

According to this model,

a) the probability that a call in comes within 1/2 minutes is p(t) = 1 -e ^{- (1/2)/3} =0.1535

b) the probability that a call in comes within 2 minutes is  p(t) = 1 -e ^{-2/3} =0.4866

c) the probability that a call in comes within 5 minutes is  p(t) = 1 -e ^{-5/3} =0.8111

6 0
3 years ago
What is 1 1/8 plus 5/8
slava [35]

Answer:

1 6/8

Step-by-step explanation:

add 1/8 to 5/8 by adding just the numerators

1 + 5 = 6

now you have 6/8. add the 1 and you have 1 6/8

hope this helped, have a good day :)

6 0
3 years ago
Read 2 more answers
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