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jeka57 [31]
3 years ago
5

X² +10x+3=0how do I slove it with the quadratic formula?​

Mathematics
2 answers:
puteri [66]3 years ago
7 0

Answer:

Step-by-step explanation:

Naddik [55]3 years ago
4 0

The equation is already in standard form [ ax² + bx + c = y ] so we can find the values of each variable.

a = 1

b = 10

c = 3

y = 0

Quadratic formula: x = \frac{-b+-\sqrt{b^2-4ac} }{2a}

Solve using the formula:

x=\frac{-10+-\sqrt{10^2-4(1)(3)} }{2(1)}

x=\frac{-10+-\sqrt{100 - 12} }{2}

x=\frac{-10+-\sqrt{88} }{2}

x=-5+-\sqrt{22}

Therefore, the answer is [ x = -5 ± √22 ]

Best of Luck!

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On Texas Avenue between University Drive and George Bush Drive, accidents occur according to a Poisson process at a rate of thre
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Answer:

(a) The probability is 0.6514

(b) The probability is 0.7769

Step-by-step explanation:

If the number of accidents occur according to a poisson process, the probability that x accidents occurs on a given day is:

P(x)=\frac{e^{-at}*(at)^{x} }{x!}

Where a is the mean number of accidents per day and t is the number of days.

So, for part (a), a is equal to 3/7 and t is equal to 1 day, because there is a rate of 3 accidents every 7 days.

Then, the probability that a given day has no accidents is calculated as:

P(x)=\frac{e^{-3/7}*(3/7)^{x}}{x!}

P(0)=\frac{e^{-3/7}*(3/7)^{0}}{0!}=0.6514

On the other hand the probability that February has at least one accident with a personal injury is calculated as:

P(x≥1)=1 - P(0)

Where P(0) is calculated as:

P(x)=\frac{e^{-at}*(at)^{x} }{x!}

Where a is equivalent to (3/7)(1/8) because that is the mean number of accidents with personal injury per day, and t is equal to 28 because 4 weeks has 28 days, so:

P(x)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{x}}{x!}

P(0)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{0}}{0!}=0.2231

Finally, P(x≥1) is:

P(x≥1) = 1 - 0.2231 = 0.7769

3 0
3 years ago
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When Joseph first starts working at a grocery store, his hourly rate is $10. For each year he works at the grocery store, his ho
stiks02 [169]

Answer: R(t) = 10 + 0.50t

Step-by-step explanation:

From the question, we've been informed that Joseph's hourly rate is $10 and that for every year he works at the grocery store, his hourly rate increases by $0.50.

Therefore, the function will be

R(t) = 10 + 0.50t

4 0
3 years ago
What is a necessary step for constructing perpendicular lines through a point on a line?
maxonik [38]

Answer:

Edit: This is incorrect, it might actually be the 3rd answer, draw arcs on either side of a given point on the line?

Draw arcs on either side of a given point off of the line I believe.

Step-by-step explanation:

Bisect a Segment:

Step 1 - open up your compass so that it is slightly larger than the segment. Put the compass on point A on the given segment and swing an arc above and below the lines. Do the same on point B. Create the points where the circle intersects.

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6 0
3 years ago
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