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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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The distance driven in miles is proportional to the time driven in hours. Ebony drives at a constant rate and plots her progress

trasher [3.6K]

Answer:

C) 60 mph.

Step-by-step explanation:

If Ebony covers 180 miles in 3 hours as seen in the point (3, 180)

Distance=180 miles; Time = 3 Hours

Driving Rate=Distance/Time = 180/3 = 60mph

7 0

4 years ago

Read 2 more answers

I need the answer been breaking my back all day

natima [27]

The answer is 6.21 hope I helped

4 0

3 years ago

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20 onions cost £3.00. 25 potatoes cost £6.25. Mr Dean needs 14 onions and 16 potatoes. Calculate the total cost.

enot [183]

Answer:

The total cost of 14 onions and 16 potatoes will be £6.10

Step-by-step explanation:

Let onion be n and potato by p

20n = £3.00

1n = £3.00/20

= £0.15

25p = £6.25

1p = £6.25/25

= £0.25

The cost of 1 onion is £0.15, and 1 potato is £0.25

Then the cost of 14 onion and 16 potatoes together will given as

14n + 16p

substituting the values of n and p, we will have

14*0.15 + 16*0.25

2.1 + 4

= £6.10

5 0

3 years ago

an ornithologist studying the flight of birds measured the efficiency for parakeets flying at various speed in a descending flig

borishaifa [10]

Step-by-step explanation:

Given:

when s = 12 mph t =0.18 let (s,t) or (a,b) = (12,0.18)
when s = 22 mph t = 0.23 s (s,t) or (a,b) =(22,0.23)
when s = 30 mph t = 0.15 s (s,t) or (a,b) =(30,0.15)

we know the general format of Quadratic equation to be

= ax²+bx+c=0

Step 1 :

when the birds pass through a,b (12,0.18) we cane give the expression as

= ax²+bx+c=0

= 12x² + 0.18x + c= 0

it can also be written as

s = ut + 1/2 at² = 0.18t +( 1/2) a(0.18)²

step 2 :

through points (22,0.23)

= 22x² + 0.23x + c = 0

s = ut + 1/2 at² = 0.23t + (1/2) a(0.23)²

Step 3 :

through points (30,0.15)

= 30x² + 0.15x + c = 0

s = ut + 1/2 at²

= 0.15 u +(1/2) a(0.15)²

7 0

3 years ago

5+ 3 cos ½x = 7 how to find the x?

Anon25 [30]

Answer:

$x=\pm 2 arcos(\frac{2}{3})+4k\pi$

where $k$ is an integer

Step-by-step explanation:

$5+3\cos(\frac{1}{2}x)=7$

We are going to isolate the trig expression first.

Subtract 5 on both sides:

$3\cos(\frac{1}{2}x)=2$

Divide both sides by 3:

$\cos(\frac{1}{2}x)=\frac{2}{3}$

Now since $\cos(u)$ is even then $\cos(u)=\cos(-u)$ .

So we have:

$\cos(\frac{1}{2}x)=\frac{2}{3}$

implies:

$\frac{1}{2}x=arccos(\frac{2}{3})+2k\pi$

Multiply both sides by 2:

$x=2arccos(\frac{2}{3})+4k\pi$

$-\frac{1}{2}x=arcos(\frac{2}{3})+2k\pi$

Multiply both sides by -2:

$x=-2arccos(\frac{2}{3})-4k\pi$

So we can say the solution is:

$x=\pm 2arcos(\frac{2}{3})+4k\pi$

( $k$ is an integer)

5 0

3 years ago