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3 years ago

Which of the following people would be considered an American citizens by birth ?

Mathematics

1 answer:

Oksana_A [137]3 years ago

8 0

Native Americans would be Natives to America because, they were here before The Europeans took over.

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Suppose the graph of a cubic polynomial function has the same zeroes and passes through the coordinate (0, -5). Write the equati

amid [387]

In this we know all three zeros and one point from which the graph pass.
So we will let specific cubic polynomial function of the form
$f(x) = a(x - x_1)(x-x_2)(x-x_3)$

As we know zeros are that point where we will get value of function equal to zero. So it is basically in form $(x_n , 0)$

SO in given question zeros are (2 , 0) , (3, 0) and (5,0)
So we can say $x_1 = 2 , x_2 = 3 , x_3 = 5$

So required equation is
$f(x) = a (x-2)(x-3)(x-5)$
              $= a[(x^2 - 2x - 3x + 6)(x-5)]$
              $= a[(x^2 - 5x+6)(x-5)]$
              $= a(x^3 - 5x^2 + 6x- 5x^2 + 25x - 30)$
              $= a(x^3 - 10x^2+31x-30)$
Now we have one point (0 , -5) from which graph passes.
So we say at x = 0 , f(x) = -5
$-5= a (0-0+0 - 30)$
$-5 = -30a$
$a = \frac{-5}{-30} = \frac{1}{6}$
So required equation of cubic polynomial is
$f(x) = \frac{1}{6}(x^3 -10x^2+31x-30)$

For finding y - intercept we simply plugin x = 0 in given equation.
As we know at x = 0 , value of function is -5.
So y - intercept is -5.

4 0

3 years ago

Read 2 more answers

The post office will accept packages whose combined length and girth is at most 42 inches. (the girth is the perimeter/distance

Vilka [71]

If x represents the length of the box, then 42-x will be the girth. Since the largest area for a given girth is that of a square, the side length of the square cross section is (42 -x)/4.

The volume as a function of package length is then
.. v(x) = x((42-x)/4)^2
This has a maximum at x=14. The corresponding volume is 686 in^3.

8 0

4 years ago

Express 1.27 as a percent

pickupchik [31]

To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 1.27 × 100 = 127% (answer)

4 0

3 years ago

In trip 1 you drove 104 miles in 4 gallons; in trip 2 you drove 78 miles how many gallons did you use in trip 2

BlackZzzverrR [31]

First do 104/4 which equals which equals 26
so you can drive 26miles on one gallon

then do 78/26 which equals 3

so you used 3 gallons of gas on trip 2

4 0

3 years ago

Read 2 more answers

8.35x - 1.5 = 71.98<br> (a) 8.6<br> (b) 8.8<br> (c) 9<br> (d) 10.3

prisoha [69]

<h3> Hola! :D ¡te invito a recibir ayuda de un latinoamericano puto!</h3><h2><u> _____________________________________ </u></h2><h2> 8.35x - 1.5 = 71.98</h2><h2> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</h2>

<u>El -1,5 qlero pasaría al otro lado positivo</u>

<u>Ahora, se suma 71.98 + 1.5 = 73,48</u>

<u>El 8.35 qlero que está multiplicando, pasa al otro lado pero dividiendo</u>

<u>Dividimos</u>

<h3> x = 8,8</h3><h2> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</h2><h2> <u>(b) 8,8</u> es la opción correcta</h2>

3 0

3 years ago