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Yakvenalex [24]
3 years ago
7

1. Determine the zeros of f(x) = x3 – 3x2 – 16x + 48? Somebody explain it please?:/

Mathematics
1 answer:
inn [45]3 years ago
6 0
x^{2} -  3x^{2} - 16x + 48 = 0

x^{2} (x - 3) - 16(x - 3) = 0

(x - 3) ( x^{2} - 16) = 0

(x - 3) (x - 4) (x + 4) = 0

x = -4, 3, 4

The zeros are: -4, 3, 4
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What is the least common denominator for the fractions 1/3and2/9?
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2 years ago
Find the value of x which satisfies the following equation.<br> log2(x−1)+log2(x+5)=4
weqwewe [10]

\quad \huge \quad \quad \boxed{ \tt \:Answer }

\qquad \tt \rightarrow \: x = 3

____________________________________

\large \tt Solution  \: :

\qquad \tt \rightarrow \:  log_{2}(x - 1)  log_{2}(x + 5)  = 4

\qquad \tt \rightarrow \:  log_{2} \{(x - 1)(x + 5) \} = 4

[ log (x) + log (y) = log (xy) ]

\qquad \tt \rightarrow \: ( x - 1)(x + 5) =  {2}^{4}

\qquad \tt \rightarrow \:  {x}^{2}  + 5x - x - 5 =  16

\qquad \tt \rightarrow \:  {x}^{2}  + 4x - 5 - 16 = 0

\qquad \tt \rightarrow \:  {x}^{2}  + 4x -21 = 0

\qquad \tt \rightarrow \:  {x}^{2}  + 7x - 3x - 21 = 0

\qquad \tt \rightarrow \:  x(x + 7) - 3(x + 7) = 0

\qquad \tt \rightarrow \: (x + 7)(x - 3) = 0

\qquad \tt \rightarrow \: x =  - 7 \:  \: or \:  \: x = 3

The only possible value of x is 3, since we can't operate logarithm with a negative integer in it.

\qquad \tt \rightarrow \: x = 3

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

4 0
2 years ago
At combs store there is a 25% chance a customer enters the store within one minute of closing time. Describe the complementary e
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The complementary event is that a customer does not enter the store within one minute of closing, and the probability is 75%.

The complement is found by subtracting from 100%; 100-25 = 75%.
6 0
3 years ago
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