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3 years ago

14

Rationalize the numerator

B6a%20%5C%5C%7D%7B%3F%7D%20%7D%20" id="TexFormula1" title=" \sqrt{3 \times a \times b \frac{6a \\}{?} } " alt=" \sqrt{3 \times a \times b \frac{6a \\}{?} } " align="absmiddle" class="latex-formula">

1 answer:

Eva8 [605]3 years ago

7 0

Answer:

rationalize my skill capability

Step-by-step explanation:

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Find the roots of the equation <br> x^2 +7= 2x<br> express your answer in simplest a +bi form

Fittoniya [83]

$x^2+7=2x\\\\\implies x^2 -2x +7 =0\\\\\text{Apply quadratic formula,}~ x =\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{in this case,}~ a = 1, b= -2 ~\text{and}~ c = 7\\\\\\x= \dfrac{-(-2) \pm \sqrt{(-2)^2 -4\cdot 1 \cdot 7}}{2\cdot 1}\\\\\\\implies x =\dfrac{2 \pm \sqrt{-24}}{2}\\\\\\\implies x = \dfrac{2 \pm i\sqrt{24}}2\\\\\implies x =\dfrac{2 \pm i2\sqrt{6}}2\\\\\implies x = \dfrac{2\left(1 \pm i \sqrt 6\right)}2\\\\\implies x = 1 \pm i\sqrt 6\\\\$

$\text{Hence,}~ x = 1-i\sqrt 6 ~\text{or}~ x = 1+i\sqrt 6$

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3 years ago

Grayson has 3 music lessons each week. Each lesson is 45 minutes long. How many total hours will he spend in music lessons in a

Anna [14]

about 117 hours bc there are about 52 weeks in a year. And one week of 3 lessons is 2 (1/4)hrs. And 2(1/4) × 52 = 117 hrs

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3 years ago

The rate of a changing quantity is the amount it changes per single increment of time (or other quantity).

olganol [36]

That is correct. Is there a question regarding this?

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3 years ago

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Find the value of 1.85+38*4.1

sdas [7]

Answer:

157.65

Step-by-step explanation:

38*4.1=155.8

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3 years ago

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For the function f(x) = (5-6x)^2, fine f^-1

Scorpion4ik [409]

Answer:

f(-1) = 121

Step-by-step explanation:

f(x) = (5-6x)^2 (First we will substitute x for -1)

f(-1) = (5-6(-1))^2 (Then we will combine like terms)

f(-1) = (11)^2 (Then we will square it)

f(-1) = 121 (You are done)

8 0

3 years ago