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4 years ago

Number between 67 and 107 thats a multiple of 3,8,12

Mathematics

1 answer:

OverLord2011 [107]4 years ago

6 0

96.

96 / 3 = 32

96 / 8 = 12

96 / 12 = 8

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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

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9 0

3 years ago

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4-5 of the money collected from a fundraiser was dived equally among 8 grades.What fraction of money did each grade receive

allsm [11]

If you are just dividing percent's, then each grade would have 12.5 percent.

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4 years ago

Evaluate the exponent expression 3x–4 ⋅ xy2 for x = –1 and y = 2.

ddd [48]

Answer:

Step-by-step explanation:

Given,

x = - 1

y = 2

To find : The value of 3x - 4 ⋅ xy² ?

Substitute the given values of x and y in the expression 3x - 4 ⋅ xy².

3x - 4 ⋅ xy²

= 3 ( - 1 ) - 4 ⋅ ( - 1 ) ( 2 )²

= - 3 - 4 ⋅ - 1 ( 4 )

= - 12 ⋅ - 4

= 48

Note : -

When a negative number gets multiplied with a negative, the resulted number is a positive number.

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3 years ago

Abdul rolls a fair six-sided die and a fair four-sided die simultaneously. The sample space of all possible

gregori [183]

Answer: 7/24

Step-by-step explanation:

Probability is the branch of mathematics that is concerned with the numerical descriptions of how likely an event will occur or how likely a proposition is true

The probability that the six-sided die is three or Abdul rolls doubles is 7/24. The calculation is attached.

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3 years ago

Three runners are training for a marathon. One day, they all run about ten miles, each at their own constant speed. Which of the

kotykmax [81]

Answer:

Runner 1 has the fastest pace

Step-by-step explanation:

The first one we need to find the slope

m = (y2-y1)/(x2-x1) = (40-0)/(4-0) =40/4 = 10 minutes per mile

The second is 8.5 minutes per mile

The third we need to find the slope

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3 years ago

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