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Annette [7]
3 years ago
14

X^3 + 8 = (x+2)(____) What do I have to multiply by (x+2) to get x^3 + 8

Mathematics
1 answer:
sasho [114]3 years ago
7 0
                  x² -  2x + 4
x + 2|x³ + 0x² + 0x + 8
        x³ + 2x²
               -2x² + 0x
               -2x² -  4x
                          4x + 8
                          4x + 8
                                  0

x³ + 8 = (x + 2)(x² - 2x + 4)
x³ + 8 = (x + 2)(x - 2)(x - 2)
x³ + 8 = (x + 2)(x - 2)²
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A person x inches tall has a pulse rate of y beats per​ minute, as given approximately by yequals600 x Superscript negative 1 di
tankabanditka [31]

Answer:

a) 5.13beats/min

b) 2.82 beats/min

Step-by-step explanation:

Given the pulse rate of a person modelled by the equation y = 600x^-1/3 for 30≤x≤75

If the height is 39inches, the instantaneous rate of change of pulse rate for the heights will be expressed as;

y = 600(39)^-1/3

y = {600(1/39)}/3

y = 600/39×3

y = 600/117

y ≈ 5.13beats/min

The instantaneous rate for a 39 inches tall person is 5.13 beats per min

b) For a 71inches tall person, the beat rate will be expressed as;

y = 600(71)^-1/3

y = {600(1/71)}/3

y = 600/71×3

y = 600/213

y ≈ 2.82 beats per minute

The instantaneous rate for a 71 inches tall person is 2.82 beats per min

7 0
3 years ago
Limited time . 10 points
AfilCa [17]

Answer:

Therefore the value of x is

x=1\pm\sqrt{19}i

Step-by-step explanation:

Given:

x^{2}+20=2x which is

x^{2}-2x+20=0

To Find:

x = ? using Quadratic Formula

Solution:

For a Quadratic Equation ax² + bx + c = 0 , Formula Method is given as

x=\dfrac{-b\pm\sqrt{b^{2}-4ac}}{2a}

On Comparing with above we get

a=1\\b=-2\\c=20

Substituting a , b , c in Formula method we get

x=\dfrac{-(-2)\pm\sqrt{(-2)^{2}-4(1)(20)}}{2\times 1}\\\\x=\dfrac{2\pm\sqrt{-76}}{2}\\\\x=\dfrac{2\pm2\sqrt{19}i}{2}\\Dividing\ by\ 2\ we\ get\\\\x=1 \pm\sqrt{19}i

Therefore the value of x is

x=1\pm\sqrt{19}i

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3 years ago
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BAF and FAD I took the test !
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To get from home to his friend Clayton's house, Eric would have to walk 4 miles due north. To get from home to his friend Dale's
Lorico [155]

Answer: 5 miles

Step-by-step explanation:

It's a triangle so if you use the pythagorean theorem your equations should look like this. Sqroot of 4^2+3^2 which equals 5. Hope this helps. :)

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Answer:

Step-by-step explanation:

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