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3 years ago

What are the possible numbers of positive, negative, and complex zeros of f(x) = 3x4 − 5x3 − x2 − 8x + 4?

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

3 0

Answer:

Two positive zeros, no negative zeros, two complex roots.

Step-by-step explanation:

The given function is $f(x)=3x^4-5x^3-x^2-8x+4$

According to the fundamental theorem of algebra, the function will have 4 roots.

The graph of the function intersects the positive axis at two points.

Hence the function has two positive zeros and no negative zeros.

The two remaining roots are imaginary. The function has two complex zeros.

See graph in attachment

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What is the approximate value of x in the diagram below? (Hint: You will need

Delicious77 [7]

Answer:

B. 39.59

Step-by-step explanation:

So 43 degrees, you know the length of the opposite side (27) and the angle (43 degrees), the only unknown is the hypotenuse. So you're looking for a trigonometric ratio that uses the angle (all of them do, except technically the inverse don't), the opposite side, and the hypotenuse. Sine is defined as $\frac{opposite}{hypotenuse}$ . So let's plug in known values:

$sin(43) = \frac{27}{x}$

Multiply both sides by x

$sin(43) * x = 27$

divide both sides by sin(43)

$x=\frac{27}{sin(43)}$

Normally I would use a calculator, but in this case I'll use the approximation given in the problem of 0.682

$x=\frac{27}{0.682}$

simplify the fraction

$x\approx39.59$

8 0

2 years ago

PLEASE HELP!! if sec x=5/3 what is the value of b? NL=20 LM=3b angle of L is x degrees.

Readme [11.4K]

Answer:

a. b=4

Step-by-step explanation:

$\sec \theta =\dfrac{1}{\cos \theta} = \dfrac{Hypotenuse}{Adjacent}$

From the attached triangle drawn below:

NL=20, LM=3b, $\angle L=x^\circ$

$\sec x =\dfrac{20}{3b}$

Since we are told that:

$\sec x =\dfrac{5}{3}\\$Then:\\\dfrac{20}{3b} =\dfrac{5}{3}\\$Cross multiply\\5 \times 3b =20 \times 3\\15b=60\\$Divide both sides by 15\\15b \div 15 =60 \div 15\\b=4$

The correct option is A.

8 0

3 years ago

Can somebody help me wit this ? Cause Ion understand this .

Triss [41]

Answer:

wow that's nice of your

4 0

3 years ago

Read 2 more answers

Keith won a cash prize in an art competition. He gave his mother 2/5 of the money he won. Of the remainder, 1/4 was given to his

USPshnik [31]

Answer:

300 dollars

Step-by-step explanation:

Let the original amount = x

x - 2/5x was what his mother's share looked.

5/5 x - 2/5 x

3/5x is what is left.

3/5 x - 1/4 * 3/5 x - 2/3x * 3/5 = his sister's share and his brothers

3/5x - 1/4*3/5 x - 2/3 * 3/5 = 15

3/5x * (1 - 1/4 - 2/3) = 15

3/5 x 5/60 = 15

15 / 300 * x = 15

1/20 x = 15

x = 15 * 20

x = 300

7 0

2 years ago

What is 22 3/4÷2 as a fraction,?<br>

nordsb [41]

Answer:

11375 / 1000

Hope This Helps! Have A Nice Day!!

4 0

3 years ago