The function below has at least one rational zero.
Use this fact to find all zeros of the function.
g(x) = 5x4 +38x° +18x² – 22x–7

The factor of the polynomial is (√5x - i√2)(√5x + i√2)(x + 4).

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Given

5x³ + 20x³ + 2x +8 is a polynomial.

The factor of the polynomial.

5x³ + 20x³ + 2x +8 is a polynomial.

Take common, we get

5x²(x + 4) + 2(x + 4)

(5x² + 2) (x + 4)

[(x√5)² - (i√2)](x + 4)

(√5x - i√2)(√5x + i√2)(x + 4)

Thus, the factor of the polynomial is (√5x - i√2)(√5x + i√2)(x + 4).

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Answer:

> Option D, or (5x2 + 2) (x + 4), is the correct choice.

Step-by-step explanation:

> This is the only correct answer choice for this equation.

Answer:

36

Step-by-step explanation:

Wilson records 9 violet chips and 16 red ones.

So from a sample of 25 chips, 9 are violet.

So violet probability out of 25 = 9/25.

If we make a proportion we find how many violet chips out of 100 = 36

9/25 = ?/ 100

?= 36

==========================================================

Explanation:

I added on 2 each time to get the next term.

We'll add those three expressions.

Then set the sum equal to 33, and solve for x.

x + (x+2) + (x+4) = 33

3x+6 = 33

3x = 33-6

3x = 27

x = 27/3

x = 9 is the answer

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Extra info:

x+2 = 9+2 = 11 is the middle number

x+4 = 9+4 = 13 is the largest

Check:

9+11+13 = 33

The answer is confirmed.

Answer:

15

Step-by-step explanation:

12-(-3)= 12+3

12+3=15

Answer:

15

Step-by-step explanation:

two negatives cancel out to become positive

Answer:

The answer is in pictures.

hope it helps:)

Answer:

[tex]\frac{9}{25}[/tex]

Answer:

length = 21 cm

Step-by-step explanation:

The ratio 3 : 1 indicates the length is 3 times the breadth , then

length = 3 × 7 cm = 21 cm

Answer:

2x+5=13

x=6    No

x=4   Yes

x=5    No

No it does not

a) for x = 6 , both sides are not equal.

b) for x = 4 , both sides are equal.

c) for x = 5 , both sides are equal.

In the question, an equation is given i.e., 2x+5 = 13.

We have to check that if both sides of equation are equal or not for value of x = 6 , x = 4 and x = 5 , respectively.

What will be the value of x if 2x + 2 = 4 ?

The value will be x = 2/2 = 1 .

Equation given is , 2x + 5 = 13.

Let's check for x = 6

(2 × 6 ) + 5 = 13

12 + 5 = 13

17 ≠ 13

So for x = 6 , both sides are not equal.

Now , let's check for x = 4.

(2 × 4 ) + 5 = 13

8 + 5 = 13

13 = 13

So, for x = 4 , both sides are equal.

Now , let's check for x = 5.

(2 × 5 ) + 5 = 13

10 + 5 = 13

15 ≠ 13

So, for x = 5 , both sides are not equal.

Thus , for x = 6 and x =5 , both sides are not equal whereas for x = 4 , both sides are equal.

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Answer:

See below

Step-by-step explanation:

Significant figures mean how many DECIMAL places you round to, not the digits before the decimal. In your case, 104.7197551 rounded to 3 significant figures would be 104.720

Hope that makes sense!

Answer:

explanation:

given data

15% amount = 30

to find out

Calculate the whole amount

solution

a pictorial model is attach find that

where we can see easily whole amount is 200 for 15 % is 30

and

15% is 30

here 15% = \frac{15}{100}

100

15

and \frac{15}{100}

100

15

= \frac{30}{200}

200

30

so whole amount is 200 for 15 % is 30

Answer:

3,570 bagels

Step-by-step explanation:

21÷2 = 10.5

340 x 10.5 = 3,570

Answer:

6. 113.1

8.  63.62

Step-by-step explanation:

6. Circle area = π * r² = π * 36 [inch²] ≈ 113.1 [in²]

π ≈ 3.14159265 ≈ 3.14

d = r * 2 = 6 [inch] * 2 = 12 [inch]

8. Circle area = π * r² = π * 20.25 [inch²] ≈ 63.62 [in²]

π ≈ 3.14159265 ≈ 3.14

d = r * 2 = 4.5 [inch] * 2 = 9 [inch]

Answer:

6.= 113.1

8. =63.62

Step-by-step explanation:

i d k if it is number 8.

Answer:

The main difference between interpolation and regression, is the definition of the problem they solve. Given n data points, when you interpolate, you look for a function that is of some predefined form that has the values in that points exactly as specified.

hope this helped:)

The basic difference between weaving and embroidery is that weaving is performed using threads on a piece of cloth to form a wearable material or object.

Embroidery on the other hand is a form of stitching that involves stitching of certain designs and shapes to an already wearable cloth to enhance the look of such cloth.

Hence, the above-mentioned points are the basic differences between weaving and embroidery.

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Answer:

The basic difference between weaving and embroidery is that weaving is performed using threads on a piece of cloth to form a wearable material or object.

Step-by-step explanation:

Answer:

(1.29.0)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

For test A, the unit rate is 30 words per minute divided by 4 minutes, or 7.5 words per minute.

Unit rate = 78 words/15 minutes = 5.2 words per minute for test B.

The unit rate for test C is 99 words/22 minutes, or 4.5 words per minute.

Answer:

4

Step-by-step explanation:

1 pi is not rationa;

2. sqrt20 is not rationa;

3.sqrt7 is not rational

4 is the answer

Number four is rational

Using logarithmic function concepts, it is found that the correct statement is:

x = 9 is a true solution and x = -9 is an extraneous solution.

A logarithmic function is modeled by:

[tex]a = \log_{b}{x}[/tex]

It means that:

[tex]b^a = x[/tex]

In this problem, we have that:

[tex]2\log_{3}{x} = 4[/tex]

Applying the power property:

[tex]\log_3{x^2} = 4[/tex]

Applying the definition:

[tex]x^2 = 3^4[/tex]

[tex]x^2 = 81[/tex]

[tex]x = \pm 9[/tex]

As the logarithm function is defined only for positive values, the correct statement is:

x = 9 is a true solution and x = -9 is an extraneous solution.

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Answer:

D on edge

Step-by-step explanation:

x=9 is true soltion and x = -9 is an extraneous soltion

Answer:

b

Step-by-step explanation:

y intercept is 2 and the rise over run is 1 and 3

Answer:

Step-by-step explanation:

1) Coordinate planes - a two-dimensional system in which a location is described by its distance from 2 intersecting, pependicular axes.

2) x-axis - The horizontal axis on the coordinate plane

3) quardrants - the four sections of the coordinate plane

4) y-axis - The vertical axis on the coordinate plane

5) origin - the intersection of the x-axis and y-axis

Answer:

1. Coordinate Plane - A two-dimensional system in which a location is described by its distance from two intersecting, perpendicular axes

2. X-Axis - The horizontal axis on the coordinate plane

3. Quadrants - The four sections of the coordinate plane

4. Y-Axis - The vertical axis on the coordinate plane

5. Origin - The intersection of the x-axis and y-axis

Step-by-step explanation:

Answer:

i could be wrong but i think its x=3 :(

Step-by-step explanation:

Answer:

The answer is x=5

Step-by-step explanation:

x+2=5

 -2    -2

x=3

Right triangles are triangles that have one of its angles to be 90 degrees

The angles in a triangle add up to 180 degrees.

So, we have:

[tex]\angle L + 90 + 24 = 180[/tex]

[tex]\angle L + 114 = 180[/tex]

Subtract 114 from both sides

[tex]\angle L = 66[/tex]

Hence, the measure of angle L is 66 degrees

To do this, we make use of the following cosine ratio

[tex]\cos(24) = \frac{8}{ML}[/tex]

Solve for ML

[tex]ML = \frac{8}{\cos(24)}[/tex]

[tex]ML = 8.76[/tex]

Hence, the value of length ML is 8.76

To do this, we make use of the following tangent ratio

[tex]\tan(24) = \frac{KL}{8}[/tex]

Solve for KL

[tex]KL = 8 * \tan(24)[/tex]

[tex]KL = 3.54[/tex]

Hence, the value of length KL is 3.54

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Answer:

there are several ways to write, and find slope...see explanation

Step-by-step explanation:

Way 1: slope Intercept- y=mx+b

step 1: find where the line crosses the Y axis(the one running up and down...thats is your "b" so if the line crosses at -2...it would be this:    y=mx-2

Step 2:from the point where the line crosses the Y axis, count how many up/down and Left/right to the next point..so if you go up 2 right 1, it would look like this y=2x-2

Up=positive

down=negative

left=negative

right=positive

Answer:

The measurement used is "mm²"

Depending on the options provided, here are some answers in decreasing accuracy

16π mm² ; 50.26548 mm² ; 50.24 mm²

Step-by-step explanation:

To find the area of a circle, you'd use the equation:

A=πr²

And since you have been given a diameter:

d=2r

.: A=π(d/2)²

For the area, you take the unit provided and square it (eg cm to cm²) or just do u² if no units are provided. In your case, it is mm to mm²

All together, we can just replace the variable used with numbers to fill in:

A=π(8/2)²

.:A=π4²

.:A=16π mm²

Lastly, based on how your question is worded, the answer was either the measurement given or you need to simplify.

The measurement would be mm²

If π is typed into a calculator:

A= 50.265482...

If π≈3.14

A= 50.24

I'm also guessing this is multiple choice it is asking for the closest answer, in which case I have listed them in decreasing accuracy above.

Answer: God

Step-by-step explanation: LORD HAVE MERCY

Answer:

Answer is = 19

Step-by-step explanation:

Based on the given conditions, formulate: 152 divided by 8

Cross out the common factor:19

get the result:19

Answer: 19

Answer:

plant grew, on average, 23/65 inches per day

Step-by-step explanation:

average = total growth / total # days

avg = (1 1/2 + 4/5) ÷ 6 1/2

change mixed number to improper fractions:

avg = (3/2 + 4/5) ÷ 13/2

create equivalent fractions using a common denominator of 10:

avg = (15/10 + 8/10) ÷ 65/10

avg = 23/10 ÷ 65/10

avg = 23/10 x 10/65

avg = 23/65

plant grew, on average, 23/65 inches per day

Therefore, the probability of finding the first defective apple on or before the fourth trial is approximately 0.475 (rounded to 3 decimal places).

Probability is a branch of mathematics that deals with the study of random events and the likelihood of their occurrence. It is the measure of the likelihood or chance that a particular event will occur. Probability is expressed as a value between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. In probability theory, an event is a set of possible outcomes of an experiment or a process. The probability of an event is the ratio of the number of favorable outcomes to the total number of possible outcomes. Probability theory is widely used in various fields such as statistics, physics, economics, finance, computer science, and many others. It provides a powerful tool for making predictions, analyzing data, and making decisions under uncertainty.

Here,

This is an example of a geometric distribution, since we are interested in the number of trials required to achieve the first success (finding a defective apple). Let p be the probability of success (finding a defective apple) on any given trial, which is 0.18 in this case.

The probability of finding the first defective apple on the k-th trial is given by:

P(X = k) = [tex](1 - p)^{(k-1)} ^[/tex] * p

Therefore, the probability of finding the first defective apple on or before the fourth trial is:

P(X ≤ 4) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

= (1 - p)⁽¹⁻¹⁾ * p + (1 - p)⁽²⁻¹⁾ * p + (1 - p)⁽³⁻¹⁾ * p + (1 - p)⁽⁴⁻¹⁾ * p

= (0.82)⁰ * 0.18 + (0.82)¹ * 0.18 + (0.82)² * 0.18 + (0.82)³ * 0.18

≈ 0.475

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Answer: $ 7.00

Step-by-step explanation:

you multiply 1.15 by 4

and multiply 1.20 by 2

add

Answer: 20

Step-by-step explanation: 7x+40=180

40-180=140

7x=140

140/70.