A package of 4 pairs of insulated socks costs $27.96. What is the unit price of the pairs of socks?

Mathematics

1 answer:

harkovskaia [24]2 years ago

5 0

Answer:

1 pair of socks cost $6.99

Step-by-step explanation:

$27.96 divided by 4 = $6.99

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X2 - 6x + 12 and y = 2x - 4, algebraically are

olga_2 [115]

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Solution:

Given system of equations are:

$y = x^2 - 6x + 12 ------ eqn\ 1\\\\y = 2x - 4 ---------- eqn\ 2$

Substitute eqn 2 in eqn 1

$x^2 - 6x + 12 = 2x - 4$

Make the right side of equation 0

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$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=1,\:b=-8,\:c=16:\\\\x=\frac{-\left(-8\right)\pm \sqrt{\left(-8\right)^2-4\cdot \:1\cdot \:16}}{2\cdot \:1}\\\\x=\frac{-\left(-8\right)\pm \sqrt{0}}{2\cdot \:1}\\\\x = \frac{8}{2}\\\\x = 4$

Substitute x = 4 in eqn 2

y = 2(4) - 4

y = 8 - 4

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Thus solution is (4, 4)

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2 years ago

Graph the first six terms of a sequence where a1 = 2 and r = 4.

zavuch27 [327]

We are given with
a1 = 2
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an = a1 r^(n-1)
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a5 = 2 (4)^(5-1) = 512
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