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Gelneren [198K]
3 years ago
15

Solve the quadratic equation by completing the square . x ^ 2 + 4x - 3 = 0

Mathematics
1 answer:
viva [34]3 years ago
7 0

Answer:

D

Step-by-step explanation:

x²+4x=3

add 4 both sides

x²+4x+4=7

(x+2)²=7

x=-2±√7

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The first seven prime numbers are 2, 3, 5, 7, 11, 13, 17
If you multiply all those numbers together, you'll have a product with 7 different prime factors (each of the numbers you multiplied).
So, 2 x 3 x 5 x 7 x 11 x 13 x 17 = 510,510
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What do the rates of change in the example represent?
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The slope.............
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The half-life of carbon 14 is years. How much would be left of an original -gram sample after 2,292 years? (To the nearest whole
lozanna [386]

Answer:

A = 0.75 gram or 1 gram

Step-by-step explanation:

The half-life of carbon 14 is years. How much would be left of an original -gram sample after 2,292 years? (To the nearest whole number).

We can use the following formula for half-life of ^{14}C to find out how much is left from the original sample after 2,292 years:  

A = A_{0}e^{-0.000124t}

where:

<em>A</em> is the amount left of an original gram sample after <em>t</em> years, and  

A_{0} is the amount present at time <em>t</em> = 0.

The half-life of  ^{14}C  is the time <em>t</em> at which the amount present is one-half the amount at time <em>t </em>= 0.

If 1 gram of  ^{14}C is present in a sample,  

 Solve for A when t = 2,292:  

Substituting A_{0}  = 1 gram into the decay equation, and we have:  

A = A_{0}e^{-0.000124t}

A = A_{0}e^{-0.000124(2,292)}

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6 0
3 years ago
A dinner cost $22 and a sales tax of $1.87 was added to the bill. How much would the sales tax be on a $66 dinner? What is the t
alexdok [17]

Answer:

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Step-by-step explanation:

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Therefore, x% of 22 = 1.87

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Now another dinner costs $66.

Tax levied on it at the same percentage is given by 8.5% of 66 = $5.61.

Thus $5.61 as sales tax would be charged for a $66 dinner.

8 0
3 years ago
Which shapes have exactly one line of symmetry?
Aleksandr [31]

Answer:

D.

Step-by-step explanation:

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