what are all the actual roots of the polynomial x^4-4x^3+6x^2-4x+1

Answer:

90

Step-by-step explanation:

Since 9 is in the 10s place it'd be valued at 90

I assume that's what this is asking, if not please correct me

Hope this helps

Answer:

Tens

Step-by-step explanation:

Its the tens because, its the second number next to the 1.

If the sequence has a common difference of 4, this means that:

We can use that to find f(2), f(3), etc...

Substitute f(1)=3:

The next term will be given by:

By adding 4 to the previous term, it follows that f(4)=15, f(5)=19, and so on.

The sequence 3, 7, 11, 15, 19 appears in the option C.

By first method, he volume of the rectangular prism is (9/32) cubic feet.

By second method, the volume of the rectangular prism is (27/64) cubic feet, which agrees with the volume calculated using the first method.

Volume is a measurement of the amount of space that an object occupies. It is the three-dimensional space occupied by an object. Volume is typically measured in cubic units such as cubic meters, cubic centimeters, cubic feet, and so on.

We can determine the volume of the rectangular prism in two different ways using the formula:

Volume = Length x Width x Height

First Method:

In the first method, we simply substitute the given dimensions of the rectangular prism into the formula and calculate the volume:

Volume = (3/4) ft x (3/8) ft x (3/4) ft

Volume = (9/32) ft³

Second Method:

In the second method, we can use the fact that the rectangular prism can be divided into 4 smaller rectangular prisms, each with dimensions (3/4) ft x (3/8) ft x (3/16) ft. We can calculate the volume of one of these smaller prisms and then multiply by 4 to get the total volume:

Volume of one smaller prism = (3/4) ft x (3/8) ft x (3/16) ft

Volume of one smaller prism = (27/256) ft³

Total volume = 4 x Volume of one smaller prism

Total volume = 4 x (27/256) ft³

Total volume = (27/64) ft³

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The domain of the function y =x²-4 has no values and the range is -2≤x≥2. And the graph is a function of x

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The equation of the graph is y = x²-4. since the root of the equation is x = -2 and +2

(x+2)(x-2) = x²+2x-2x-4

= x²-4

therefore the equation y = x²-4 has no domain and the range of value of x -2>x≤2.

The graph is a function of x

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Answer:

Starting with the equation:

(x + 1)^2 = 13/4

We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.

Taking the square root of both sides, we get:

x + 1 = ±√(13/4)

Simplifying under the radical:

x + 1 = ±(√13)/2

Now we can solve for x by subtracting 1 from both sides:

x = -1 ± (√13)/2

Therefore, the solutions to the equation are:

x = -1 + (√13)/2 or x = -1 - (√13)/2

Step-by-step explanation:

The distance between point T (-5, 1) and point I (-1, 1) is 4 units.

To find the distance between two points, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is:

Distance = √((x2 - x1)² + (y2 - y1)²)

Let's apply this formula to find the distance between point T (-5, 1) and point I (-1, 1):

x1 = -5, y1 = 1 (coordinates of point T)

x2 = -1, y2 = 1 (coordinates of point I)

Plugging these values into the formula, we have:

Distance = √((-1 - (-5))² + (1 - 1)²)

        = √(4² + 0²)

        = √(16 + 0)

        = √16

        = 4

Therefore, the distance between point T (-5, 1) and point I (-1, 1) is 4 units.

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Answer:

B.  -414,720 x⁷y⁶

Step-by-step explanation:

To find the 4th term of the expansion of (2x - 3y²)¹⁰, we can use the binomial theorem.

The binomial theorem states that for an expression of the form (a + b)ⁿ:

\(\displaystyle (a+b)^n=\binom{n}{0}a^{n-0}b^0+\binom{n}{1}a^{n-1}b^1+...+\binom{n}{r}a^{n-r}b^r+...+\binom{n}{n}a^{n-n}b^n\\\\\\\textsf{where }\displaystyle \rm \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{r!(n-r)!}\)

For the expression (2x - 3y²)¹⁰:

Therefore, each term in the expression can be calculated using:

\(\displaystyle \boxed{\binom{n}{r}(2x)^{10-r}(-3y^2)^r}\quad \textsf{where $r = 0$ is the first term.}\)

The 4th term is when r = 3. Therefore:

\(\begin{aligned}\displaystyle &\;\;\;\;\:\binom{10}{3}(2x)^{10-3}(-3y^2)^3\\\\&=\frac{10!}{3!(10-3)!}(2x)^7(-3y^2)^3\\\\&=\frac{10!}{3!\:7!}\cdot2^7x^7(-3)^3y^6\\\\&=120\cdot 128x^7 \cdot (-27)y^6\\\\&=-414720\:x^7y^6\\\\ \end{aligned}\)

So the 4th term of the given expansion is:

\(\boxed{-414720\:x^7y^6}\)

Answer:

prime factorization of 28

28 = 2 × 2 × 7

prime factorization of 50

50 = 2 × 5 × 5

Step-by-step explanation:

GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2

pls thats the answer have a nice day

Answer:

188.5

Step-by-step explanation:

13 times 4.50 is 188.5 and theres 13,000

Answer:

h= 3x/x −5

Step-by-step explanation:

hx=3x−5

Step 1: Divide both sides by x.

hx/x = 3x/x −5

h= 3x/x −5

        x

Answer:

h= 3x/x −5

Answer:

3√3v/3x V

Step-by-step explanation:

d/dt[32/3π, sin (tim), 3√3v/3x, V]

Answer:

10x

Step-by-step explanation:

4x + x (13 − 7)

= 4x + 13x - 7x

= 17x - 7x

= 10x --> this is what the equation simplifies to.

Answer:

10x is the simplification of the expression you posted

Answer:d

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

.2 = 2/10

2/10 = 1/5

Answer:

\(\frac{7}{15}\) or 46.6667%

Step-by-step explanation:

  9 chocolates

 14 gumballs

+ 7  mints        

30 pieces of candy in the jar

\(\frac{14}{30}\) of those candies are gumballs.

This can be simplified to \(\frac{7}{15}\)

As a percentage: 46.6667%

Hope this helps~!

Answer:

7/15

Step-by-step explanation:

30 pieces of candy

14/30

actual 7/15

As a percentage 46.66%

Answer:

24.775 / 1 or 24775 / 1000

Step-by-step explanation:

To get rid of the decimal point in the numerator, we count the numbers after the decimal in 24.775, and multiply the numerator and denominator by 10 if it is 1 number, 100 if it is 2 numbers, 1000 if it is 3 numbers, and so on.

Therefore, in this case we multiply the numerator and denominator by 1000 to get the following fraction:  

24775/100

Answer:

21

Step-by-step explanation:

Answer:

302.4 days

Step-by-step explanation:

You bring back 10 every 2 weeks, then the rate is:

R = (10 people)/(2 weeks) = (10/2) people per week = 5 people per week.

This means that you bring back 5 people per week.

Now, you have 216 people, and you bring back 5 of them each week, then the amount of people that you have as a function of time, w, in weeks, is:

P(w) = 216 - 5*w

You will have them all back when:

P(w) = 0

Then we can solve it for w:

P(w) = 0 = 216 - 5*w

5*w = 216

w = 216/5 = 43.2

the time is 43.2 weeks.

We could write this in days, because we know that each week has 7 days, then 43.2 weeks is equal to 43.2 times 7 days, this is:

(43.2)*7 days = 302.4 days

The equation is;

The first point we would be using is when x =0, we would have;

Thus the first point is ( 0 , 3 )

The second point we would be using is when x =1, we would have;

The second point is ( 1 , 4 )

Answer:

x° = 123

Step-by-step explanation:

this triangle is isoceles so it has 2 congruent angles.

let y be the second angle

the sum of a triangle's angle is 180°

\(180 = 66 + y + y \\180 = 66 + 2y\)

add \(-66\) to both sides

\(180 - 66 = 2y + 66 - 66 \\114 = 2y\)

divide both sides by 2

\(\frac{114}{2} = \frac{2y}{2}\)

\(57 = y\)

we khow that \(x + y = 180\)

\(x + y = 180 \\x + 57 = 180\)

add -57 to both sides

\(x + 57 - 57 = 180 - 57 \\x = 123\)

Answer:

The vertex of the function is at (–3,–16)

The graph is increasing on the interval x > –3

The graph is positive only on the intervals where x < –7 and where

x > 1.

Step-by-step explanation:

The graph of \(f(x)=(x-1)(x+7)\) has clear zeroes at \(x=1\) and \(x=-7\), showing that \(f(x) > 0\) when \(x < -7\) and \(x > 1\). To determine where the vertex is, we can complete the square:

\(f(x)=(x-1)(x+7)\\y=x^2+6x-7\\y+16=x^2+6x-7+16\\y+16=x^2+6x+9\\y+16=(x+3)^2\\y=(x+3)^2-16\)

So, we can see the vertex is (-3,-16), meaning that where \(x > -3\), the function will be increasing on that interval

Answer:

-4, -2, 4

Step-by-step explanation:

-1(2)-2

0(2)-2

3(2)-2

I hope this helped.

Answer:

35/8

Step-by-step explanation:

4×8= 32 plus the 3/8 equals 35/8

hope it helps

The sum of the sequence based on the function Sn = ( -1 )n + 1 will be -6.

The formula for finding the nth term in an arithmetic sequence given as:

= a + (n - 1)d

Here, Sn is given as ( -1 )n + 1. This is used to illustrate the sum in the sequence. Based on the function given, let's assume that n = 5. Therefore, the 5th term will be:

= (-1)n + 1

= (-1)5 + 1

= (-1)6

= -6

Here is the complete question:

Find the 5th term of a sequence given the function Sn = ( -1 )n + 1.

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The two angles are related in that they are supplementary angles

Supplementary angles would add tuo to 180 degrees according to the angle Theorem.

Adding the two given angles :

These angles are supplementary

The angles aren't vertical in that , vertical angles should have the same vertex. Complementary angles on the other hand add to 90 degrees. While the angles doesn't share the same side, hence, they aren't adjacent.

Hence, the angles are related as they are supplementary angles .

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Answer: 3702

Step-by-step explanation: from plato