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Anit [1.1K]
3 years ago
6

Hi. I need help with these questions. See image for question. Answer 15

Mathematics
2 answers:
UNO [17]3 years ago
8 0

Answer:

  • x = 1/5

Step-by-step explanation:

<h3>Given</h3>
  • Parabola y = 5x² -2x + 3
<h3>To find</h3>
  • The equation of the line of symmetry
<h3>Solution</h3>

The line of symmetry passes through the vertex of the parabola

<u>The vertex is determined by the formula: </u>

  • x = -b/2a
  • Where b and a are constants from the standard form of ax² + bx + c = 0

<u>Substituting values from the given equation:</u>

  • x = -(-2)/2(5) = 1/5
  • x = 1/5 is the line of symmetry
Sauron [17]3 years ago
4 0

Step-by-step explanation:

YOU JUST FOLLOW THE STEP

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The antibiotic clarithromycin is eliminated from the body according to the formula A(t) = 500e−0.1386t, where A is the amount re
PolarNik [594]

Answer:

Time(t) = 11.61 hours (Rounded to two decimal place)

Step-by-step explanation:

Given: The antibiotic  clarithromycin is eliminated from the body according to the formula:

A(t) = 500e^{-0.1386t}                 ......[1]

where;

A - Amount remaining in the body(in milligram)

t - time in hours after the drug reaches peak concentration.

Given: Amount of drug in the body is reduced to 100 milligrams.

then,

Substitute the value of A = 100 milligrams in [1] we get;

100= 500e^{-0.1386t}

Divide both sides by 500 we get;

\frac{100}{500}=\frac{ 500e^{-0.1386t}}{500}

Simplify:

\frac{1}{5} = e^{-0.1386t}

Taking logarithm both sides with base e, then we have;

\log_e (\frac{1}{5})= \log_e (e^{-0.1386t})

\log_e (\frac{1}{5})=-0.1386t         [ Using \log_e e^a =a ]

or

\log_e (0.2)=-0.1386t

-1.6094379124341 = -0.1386t

 [using value of \log_e (0.2) = -1.6094379124341 ]

then;

t = \frac{-1.6094379124341}{-0.1386}

Simplify:

t ≈11.61 hours.

Therefore, the time 11.61 hours(Rounded two decimal place) will pass before the amount of drug in the body is reduced to 100 milligrams


6 0
2 years ago
Does it seem plausible that employment has a normal distribution for each gender
Debora [2.8K]

yes it is reasonable that employment has a normal distribution for each gender

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3 years ago
Help me, please I need this
Alex17521 [72]

Answer:

B) y = -3x - 5

Hope this helps!

Please be kind to mark Brainliest.☺

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3 years ago
I need another help again my bros​
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Answer:

a = 15.59   c= 31.18

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3 years ago
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Work out the value of 3x + 2y when x=4 and y=-5
Kruka [31]

3x + 2y =

3*4 + 2*-5=

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3 years ago
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