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3 years ago

(x^2-2x-48) divided by (x+5)

Mathematics

1 answer:

Lena [83]3 years ago

7 0

Did you know you could do this division using the approach "synthetic division?"

The coefficients of the dividend x^2 - 2x - 48 are 1, -2 and -48. The divisor x+5 yields the divisor -5 for use in synthetic division. Proceeding with the synthetic div.:

--------------------

-5 / 1 -2 -48

-5 35

----------------------

1 -7 -13

Thus, the quotient is 1x - 7 with a remainder of -13. This also means that if we substitute -5 for x in the original function, the result will be -13.

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3 years ago

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Find the circumference of the circle with the diameter of 5 in.

irina1246 [14]

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3 years ago

Please help.<br> Algebra.

navik [9.2K]

The answer is C

Explanation: each ride costs $1.25 but they don’t give a number of rides therefore the number of rides is unknown and represents X. 64 was the total value of his money before the rides. With each ride you add -1.25 to 64, which gives diminishing returns for each ride.

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3 years ago

Convert this number given in standard form into scientific notation. 0. 0000069 What is the value in scientific notation? 0. 69

Len [333]

Scientific notation is used so that the order of the number is known in first glance. The value of the given number in scientific notation is given by: Option B: $6.9 \times 10^{-6}$

<h3>How does scientific notations work?</h3>

The number is written in the form $a \times 10^b$ where we have $1 \leq a < 10$

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

Better readability due to compact representation
Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

For the given case, the number in consideration is 0.0000069

Rewriting it in fraction form, we get:

$0.0000069 = \dfrac{69}{10000000} = \dfrac{69}{10^7} = 69 \times 10^{-7} = 6.9 \times 10 \times 10^{-7}\\\\0.0000069 = 6.9 \time 10 ^{-7 +1} \\0.0000069 = 6.9\times 10^{-6}$

(we used two facts: first that : $\dfrac{a}{b} = a \times \dfrac{1}{b}$

and second that: $a^{-b}= \dfrac{1}{a^b}$

Thus, the value of the given number in scientific notation is given by: Option B: $6.9 \times 10^{-6}$

Learn more about scientific notations here:

brainly.com/question/3112062

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3 years ago

On call= 3.5 hours:$10 Talk Time= 1/2 hour: $1.25

stiks02 [169]

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Hope that helps =3

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4 years ago