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3 years ago

In the given graph of a cubic polynomial, what are the number of real zeros and complex zeros, respectively?

Mathematics

1 answer:

Bumek [7]3 years ago

3 0

There would be 1 real zero and two complex zeros

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Problem ID: PRABK2AZ

Vaselesa [24]

Answer: f(n+1) = 3 f(n)

Step-by-step explanation:

A recursive formula is used to determine each term of a sequence using preceding term or terms.

Given sequence : 2.5, 7.5, 22.5, 67.5, 202.5,...

Here,

$2.5\times 3=7.5\\7.5\times3= 22.5\\22.5\times 3= 67.5\\67.5\times3=202.5$

Common ratio = 3

Let f(n) be a term in this sequence then the next term will be f(n+1) = 3 f(n), where n is a natural number .

Required recursive formula : f(n+1) = 3 f(n)

8 0

3 years ago

Three of the choices are ways to express 0.50. Which is NOT?

Ganezh [65]

Option B

5 hundredths is not the way to express 0.50

<h3><u>Solution:</u></h3>

Given that Three of the choices are ways to express 0.50

To find: wrong option

Let us first write 0.50 in different ways

<h3><em><u>To convert a Decimal to a Fraction follow these steps: </u></em></h3>

Step 1: Write down the decimal divided by 1, like this: decimal 1.

Step 2: Multiply both top and bottom by 10 for every number after the decimal point. ...

Step 3: Simplify (or reduce) the fraction.

$\rightarrow 0.50 = \frac{0.50 \times 100}{100} = \frac{50}{100}$

$\frac{50}{100}$ means 50 hundredths

<h3>Therefore option D is correct</h3>

On simplifying $\frac{50}{100}$ we can write,

$\rightarrow \frac{50}{100} = \frac{5}{10} = \frac{1}{2}$

$\frac{1}{2}$ means one half

<h3>Therefore option A (one half) is correct</h3>

Similarly, \frac{5}{10} means 5 tenths

<h3>Therefore Option C is also correct</h3>

Thus the wrong option is B

<em><u>Justification:</u></em>

5 hundredths can be written as:

$\frac{5}{100} = 0.05$

Therefore option B is wrong

5 0

2 years ago

How do you write the equation of a line and stop intercept form from that passes through the point -3, 5

mr_godi [17]

Y=2/3x -5/2

Slope is equal to the parallel line (2/3)
Find y intercept by setting y and x equal the given coordinates and solve.

8 0

3 years ago

the formula f=9/5c+32 can be used to convert between temperature in degrees Fahrenheit and temperature in degrees Celsius. Use t

Slav-nsk [51]

Answer:

Step-by-step explanation:

3 0

3 years ago

Log(x⁴+3x³) - log(X + 3 ) + log2 - log6 = 2logx . find the value of x

AfilCa [17]

The given equation is

$\begin{gathered} \log (x^4+3x^3)-\log (x+3)+\log 2-\log 6=2\log x \\ \log (\frac{x^4+3x^{3^{}}}{x+3})+\log \frac{2}{6}=\log x^2 \\ \log \frac{x^3(x+3)}{x+3}+\log \frac{1}{3}=\log x^2 \\ \log x^3+\log \frac{1}{3}=\log x^2 \\ \log \frac{x^3}{3}=\log x^2 \\ \frac{x^3}{3}=x^2 \\ x^3-3x^2=0 \\ x^2(x-3)=0 \end{gathered}$

hence

$x=0\text{ or x=3}$

But x cannot be zero so x=3

So the value of x is 3

7 0

1 year ago