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Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

[tex]f(x)= 5x^4 -10x^3 +4x^2 -8x[/tex]

To determine the zeros, set f(x) = 0

[tex]0=\:5x^4\:-10x^3\:+4x^2\:-8x[/tex]

switch sides

[tex]5x^4-10x^3+4x^2-8x=0[/tex]

as

[tex]5x^4\:-10x^3\:+4x^2\:-8x=x\left(x-2\right)\left(5x^2+4\right)[/tex]

so the equation becomes

[tex]x\left(x-2\right)\left(5x^2+4\right)=0[/tex]

Using the zero factor principle:

[tex]\mathrm{\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]

[tex]x=0\quad \mathrm{or}\quad \:x-2=0\quad \mathrm{or}\quad \:5x^2+4=0[/tex]

so solving

[tex]x-2=0[/tex]

Therefore, the real zeros are:

[tex]x=0[/tex] and [tex]x=2[/tex]

[tex]5x^2+4=0[/tex] has all the imaginary zeros.

solving

[tex]5x^2+4=0[/tex]

[tex]5x^2=-4[/tex]

[tex]x^2=-\frac{4}{5}[/tex]

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=\sqrt{-\frac{4}{5}},\:x=-\sqrt{-\frac{4}{5}}[/tex]

[tex]x=i\frac{2\sqrt{5}}{5},\:x=-i\frac{2\sqrt{5}}{5}[/tex]       ∵ [tex]\sqrt{-1}=i[/tex]

Therefore, the total zeros are:

[tex]x=0,\:x=2,\:x=i\frac{2\sqrt{5}}{5},\:x=-i\frac{2\sqrt{5}}{5}[/tex]

1::650(1.15)

2: 650(1.15)2

3: 650(1.15) t

1 The expression for the population in 2012 is 650(1.15)

2. The expression for the population in 2013 is [tex]650(1.15)^2[/tex]

3. The expression for the population after 2011 is [tex]650(1.15) ^t[/tex]

Since in the 2011 years, the population is 650

And, there is an increment of 15% in the year of 2012

1. So, the expression should be 650(1.15)

2. Now in the year 2013, it is [tex]650(1.15)^2[/tex]

3. And, after 2011 it is [tex]650(1.15) ^t[/tex]

Learn more about the population here: https://brainly.com/question/24309536

B:2.7

I added the numbers that we knew from the right side and subtracted it from 17

Answer:

Your answer is: ↓

A) 8

B) 5

C) 6 / 13

Reduce the expression, if possible, by cancelling the common factors.

Step-by-step explanation:

Hope this helped : )

Answer:

27

Step-by-step explanation:

27/3 = 9, 27/9 = 3. so

9-3= 3+3

6=6

Answer:

y= -3/-1

Step-by-step explanation:

hope it helps.

Answer:

the bags volume is 132 cubed inches. the candle is 37.5 cubed inches. there will need to be 94.5 packing material. they will need to buy 12 packages.

Step-by-step explanation:

5.5 times 3 times 8 is 132. 2.5 times 2.5 times 6 is 37.5. 132-37.5 is 94.5. 94.5 times 70 is 6615. 6615 divided by 575 is 11.5 (rounded). cant have half of a package so rounded to 12.

Answer:

Select any expresion that equals 50.

Step-by-step explanation:

Divide 4500 by 90 and find all the expresions that equal 50.

Step-by-step explanation:

none of these are correct because beside the y it is a plus sign and it needs to be a minus sign but the awnser would be. y-6=-2(x-1) the way your supposed to set this up is y-y¹=slope(x-x¹) the only way their would be a addition sign in the equation is if one of the numbers in the parentheses that you put down is negative.

HOPE THIS HELPS!

srry if it confusing

Answer:

A. between o.1 and o.3

Step-by-step explanation:

Between 1 and 3, there's 2.

Answer:

49sin21 or 17.5

Step-by-step explanation:

sinθ=o/h

sin21=x/49

x=49sin21=17.56

Hope this helps; please vote brainliest.

Answer:

I refute the claim that Mexico incited the war. It was rather the U.S under President James Polka that sent troops to occupy Texas, a territory that the Mexicans believed to be theirs.

Step-by-step explanation:

The Velasco treaty signed in 1836 by a war prisoner of Mexican origin, General Antonio Lopex de Santa Anna was not approved by the Mexican government, but the United States capitalized on it to say that the republic of Texas belonged to them. President James Polka used both peaceful and aggressive means to recover that territory. His peace negotiations were rejected by Mexico and despite that, he sent troops to occupy the territory.

They also occupied other territories of Mexico like Santa Fe de Nuevo Mexico. The Mexicans saw this as provocative and sent their soldiers to Texas who ended up killing 11 American soldiers. This resulted in the war that was fought between 1846 to 1848.

Answer:

Step-by-step explanation:

I can't read it very well. If it says

5(6n-4)+2=68

30n-20+2=68

30n=86

n= 43/15 or 2 13/15

If it says

5(6n-4)-2=68

30n-20-2=68

30n=90

n= 3

the relationship is transitive

Answer:

c lolhahahahahahahahahahahahahahahahahahahahaha

Answer: c

Step-by-step explanation:

8.45 cm – 3.55 cm

Answer:

Graphs come in all sorts of shapes and sizes. In algebra, there are 3 basic types of graphs you'll see most often: linear, quadratic, and exponential. Check out this tutorial and learn how to determine is a graph represents a linear, quadratic, or exponential function!

Step-by-step explanation:

thats all

Answer: good luck

Step-by-step explanation:

;)

Answer: x = 5

Step-by-step explanation:

Vertical angles are congruent. Hence, 30 = 6x. Diving both sides by 6 gives x=5

Answer:

1/6

Step-by-step explanation:

hope this helped you!

Answer:

The probability that a randomly selected call is for a car that won't start because of dead battery or because of no gas is 0.96

Step-by-step explanation:

The percentage of calls for emergency due to dead battery = 90%

The percentage of calls for emergency due to no gas = 10%

The percentage of calls for emergency due to dead battery and no gas  = 4%

Therefore;

The probability that a call for a car that won't start because of dead battery, P(B) = [tex]\left | B \right |[/tex] = 0.9

The probability that a call for a car that won't start because of no gas, P(N) = [tex]\left | N \right |[/tex] = 0.1

The probability that a call for a car that won't start because of dead battery and no gas, P(B∩N) = [tex]\left | B \cap N \right |[/tex] = 0.04

Therefore, the probability that a randomly selected call is for a car that won't start because of dead battery or because of no gas is given as follows;

[tex]\left | B \cup N \right | = \left | B \right | + \left | N \right | - \left | B\cap N \right |[/tex]

Where;

Therefore, we have;

[tex]\left | B \cup N \right |[/tex] = The probability that a randomly selected call is for a car that won't start because of dead battery or because of no gas

Substituting gives;

[tex]\left | B \cup N \right |[/tex] = 0.9 + 0.1 - 0.04 = 0.96

∴ The probability that a randomly selected call is for a car that won't start because of dead battery or because of no gas = 0.96.

Answer:(9,-3)

Step-by-step explanation:

You just have to flip the numbers

Answer:

y = 1/20 x + 5

Step-by-step explanation:

Let the height of the sand dune after x years be represented by the equation

y = mx+c where;

m is the rate at which the hills is eroding

c is the height of the dunes above the sea

If The hill is eroding at a rate of 1 foot per 20 years,then the rate of eroding per year will be;

1foot = 20years

m = 1year

Cross multiply

20m = 1

m = 1/20 foot/yr...

c = 5foot

Substitute into the formula:

y = 1/20 x + 5

Hence the equation that represent the situation is y = 1/20 x + 5

Answer:

b

Step-by-step explanation:

Answer:2881

Step-by-step explanation:

Answer:

2881

Step-by-step explanation:

it should be A. 3/4  

Answer:

Ten over two would be at the very right side of this number line. It would be located at the number 5. Negative nine over two would be located two segment or lines after negative five.

Step-by-step explanation:

Ten over two would come out to a positive and whole number of five. Negative nine over ten comes out so negative four wholes and one half. So this gets located two segments after negative five because it is not fully negative five but it is negative four and one half. I got these whole numbers by simplifying the numbers that we started off with. Hope you have an amazing day and do well on your assignments.

-Vizion

Answer:

67.84 is the answer.

Step-by-step explanation:

12.8 times 5.3 equals 67.84

#teamtrees #WAP (Water And Plant)

Answer:

Step-by-step explanation:

E

Answer:

11/9 = 1 2/9

Step-by-step explanation:

When divide by a fraction you multiply by the reciprocal, which in others words you flip the second fraction and then multiply straight across.

The reciprocal of 3/4 is 4/3 now just multiply straight across

11×4 / 12 × 3 = 44/36 this can be simplified to 11/9 because 4 goes into 44 and 36 evenly

Answer:

11/9

Step-by-step explanation:

Answer:

109°

Step-by-step explanation:

To figure this problem out, we should start with the rule that a pentagon's angles add up to 540°. The angles in the given pentagon are 121°, 102°, 108° and 100°. To find x, we need to make sure all 5 angles add up to 540.

121°+ 102°+108° +100°+x=540°

If you add those four given angles, you get 431°.

540° - 431° = 109°