3 years ago

Read question number 15 and Then give Me The answer please

Mathematics

1 answer:

vovangra [49]3 years ago

3 0

A is right answer

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What are the roots of f(x) = x2 – 48? –48 and 48 –24 and 24 Negative 8 StartRoot 3 EndRoot and 8 StartRoot 3 EndRoot Negative 4

Ivanshal [37]

Answer:

$x=4\sqrt{3},\:x=-4\sqrt{3}$ are the roots.

Step-by-step explanation:

$x=4\sqrt{3},\:x=-4\sqrt{3}$

Considering the expression

$x^2\:-\:48$

Solving

$x^2-48=0$

$x^2-48+48=0+48$

$x^2=48$

$\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$

$x=\sqrt{48},\:x=-\sqrt{48}$

Solving

$x=\sqrt{48}$

= $\sqrt{2^4\cdot \:3}$

$\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}$

= $\sqrt{3}\sqrt{2^4}$

$\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^m}=a^{\frac{m}{n}}$

$\sqrt{2^4}=2^{\frac{4}{2}}=2^2$

$=2^2\sqrt{3}$

$=4\sqrt{3}$

So,

$x=4\sqrt{3}$

Similarly,

$x=-\sqrt{48}=-4\sqrt{3}$

Therefore, $x=4\sqrt{3},\:x=-4\sqrt{3}$ are the roots.

Keywords: roots, expression

Learn more about roots from brainly.com/question/3731376

#learnwithBrainly

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3 years ago

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How long will it take 680 dollars to earn 102 dollars in simple interest at an annual interest rate of 3%? Show your work in an

jenyasd209 [6]

Simple interest is where 3% of the original value is added on each year

goal number = $102

original number = $680
3% of $680 can be found by getting 1% and multiplying by 3
100% = original number = $680
100% / 100 = 1% so $680 / 100 = $6.80 = 1%
3% = $6.80 * 3 = $20.40

so each year the money rises by $20.40

to find out how many years it would take to get to $102:
$102 / $20.40 = 5 years

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If there are 12 eggs in a carton, how many are in 5 cartons?

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Answer:

Step-by-step explanation:

12x5 is equal to 60

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