is g(x)=2x-x^(3)+8 a polynomial function

Answers

Answer 1

Answer:

Yes, it is

Step-by-step explanation:

Yes, because all x terms have null or positive integer exponents:

g(x) = -x^3 + 2x^1 + 8^0.  


Related Questions

In the diagram below, BC is an altitude of AABD. To the nearest whole unit, what is the length of CD? ​

Answers

Answer:

C

Step-by-step explanation:

Using the Pythagorean theorem, find BA: [tex]\sqrt{37^{2}+53^{2} } = \sqrt{4178}[/tex]

Making BC = x, find the lenth of BD: [tex]\sqrt{x^{2} +37^{2} }[/tex]

Since DBA is a right triangle, this follows: [tex]DA^{2}=BD^{2}+BA^{2}[/tex]

Substitute: [tex](x+53)^{2} =\sqrt{4178} ^{2} +\sqrt{x^2+37^2} ^{2}[/tex]

Expand: [tex]x^{2} +106x+2809=x^{2} +5547[/tex]

Solve: 106x = 2736

Finally: x ≈ 25.8 ≈ 26

Therefore: C

A rectangle has an area of 36 square units and a width of 2 units. What is the unknown length

Answers

Answer:

18

Step-by-step explanation:

The formula for area is a=lw

So to find the length, you would divide the area by the width. So 36 divided by 2 is 18.

-6p + 4p > 12
( please look at picture instead )

Answers

Answer:

the asnwer is p is less than or equal to -6.

Step-by-step explanation:

The reasonfro that is becuase when u have a negative variable you have to divide both sides by a negative, which will flip the symbol making it less than in this case rather than greater than. Hope this works mark as brainliest pls

that what i got but check the sign well


y X
0 -1
1 3
2 7
3 11
4 15


Which equation matches the function described in the table?
A)
y = 4x
B)
y = x-1
y = x+ 5
D)
y = 4x - 1

Answers

Answer:

D) y=4x-1

Step-by-step explanation:

Answer:

D) y=4x-1

Step-by-step explanation:

Each y-value in the table is 1 less than 4 times the corresponding x-value.

whatis the reciprocal of the number. 7/8

Answers

Answer:

8/7

Step-by-step explanation:

reciprocal is just the same number flipped

Answer:

8/7

Step-by-step explanation:

The reciprocal of a fraction is what you multiply with that fraction to get 1. Essentially, you flip the original fraction. The reciprocal of 7/8 is just flipping that to get 8/7. To check, 7/8 * 8/7 = 56/56 = 1

Malcolm and Theo's families are both traveling to the same vacation resort.

The equation d=65t models the distance, d, that Malcolm's family travels after t hours.

The graph below shows the relationship between the distance and the amount of time that Theo's family traveled.

How much faster did Malcolm's family travel than Theo's family

10 miles per hour


15 miles per hour


30 miles per hour


65 miles per hour

Answers

Graph is missing, so i have attached it.

Answer:

15 miles per hour

Step-by-step explanation:

We are given that d = 65t models the distance, d, that Malcolm's family travels after t hours.

Since we are comparing speed of both families, then we will find the speed here.

Formula for speed is;. Speed = distance/time

d = 65t and we know that d is distance and t is time. Thus, d/t = 65 m/hr = speed.

For Theo's family, looking at the image attached;

At a distance of 50 miles, time spent is 1 hr

At a distance of 100 miles, time spent is 2 hrs

At a distance of 150 miles, time spent is 3 hrs

At a distance of 200 miles, time spent is 4 hrs

Thus, speed = 200/4 or 150/3 or 100/2 or 50/1.

They all give a constant value of 50 m/hr.

Thus, speed of Theo's family = 50 mi/hr

Comparing this to that of Malcolm's family,we can see that Malcolm's family were faster by 65 - 50 = 15 mi/hr

Answer:

15

Step-by-step explanation:

x + 8x + 15 help me out with this plz

Answers

Answer:

3(3x + 5)

Step-by-step explanation:

x + 8x + 15              Combine liked terms

9x + 15

GCF: 3

3(3x +5)                   Factor

What is a ratio equivalent to 3:4 ? 3/4 2/3 4/3

Answers

3/4 is the answer for your question

Answer:

3/4

Step-by-step explanation:

the ratio is kinda like fractions

here are more:

3:5 - 3/5

4:9 - 4/9

E 4) In the diagram below, the dimensions of the large rectangle are (3x-1) by (3x+7) units. The dimensions of the cut-out rectangle are x by (2x+5) units. Which choice expresses the area of the shaded region, in Square units? ​

Answers

Answer:

Option (D)

Step-by-step explanation:

Area of a rectangle = Length × width

Area of large rectangle = (3x - 1)(3x + 7) square units

                                       = (9x² + 21x - 3x - 7)

                                       = 9x² + 18x - 7

Area of small rectangle = (2x + 5)x

                                       = (2x² + 5x) square units

Area of the shaded region = Area of large rectangle - Area of small rectangle

= (9x²+ 18x - 7) - (2x² + 5x)

= (9x² - 2x²) + (18x - 5x) - 7

= (7x² + 13x - 7) square units

Therefore, Option (D) will be the correct option.

The expression that represents the area of the shaded region is:[tex]7x\² + 13x - 7[/tex]

The dimension of the big rectangle is given as:

Length: 3x - 1Width: 3x + 7

So, the area of the rectangle is:

[tex]Area = Length \times Width[/tex]

[tex]Area= (3x - 1) \times (3x + 7)[/tex]

Expand

[tex]Area = 9x\² + 21x - 3x - 7[/tex]

[tex]Area = 9x\² + 18x - 7[/tex]

The dimension of the small rectangle is given as:

Length: 2x + 5Width: x

So, the area of the rectangle is:

[tex]Area = Length \times Width[/tex]

[tex]Area= (2x + 5) \times x[/tex]

Expand

[tex]Area = 2x\² + 5[/tex]

The area of the shaded region is the difference between the area of the big and small rectangles.

So, we have:

[tex]Area = (9x\²+ 18x - 7) - (2x\² + 5x)[/tex]

Expand, and collect like terms

[tex]Area = 9x\²- 2x\² + 18x -5x- 7[/tex]

[tex]Area = 7x\² + 13x - 7[/tex]

Hence, the area of the shaded region is [tex]7x\² + 13x - 7[/tex]

Read more about areas at:

https://brainly.com/question/24487155

Kira skied at a steady speed in a 2 mile cross country ski race her finished time was 5/12 hour Kira wants to know her speed miles per hour

Answers

Answer: The purpose of this task is to give students experience in reasoning with equivalent ratios and unit rates from both sides of the ratio. This prepares for studying proportional relationships in Grade 7, and in Grade 8 for understanding that a proportional relationship can be viewed as a function in two different ways, depending on which variable is regarded as the input variable and which as the output variable. The values in column B were found by dividing both values in column A by 10. The values in column C were found by dividing both values in column B by 2. The other columns contain multiples of the values in column B.

If we look in column E, we can see that it would take her 45 minutes to run 6 miles.

If we look in column B, we can see that she could run 2 miles in 15 minutes.

If we look in column F, we can see that she is running 8 miles every 60 minutes (which is 1 hour), so she is running 8 miles per hour.

If we look in column C, we can see that her pace is 7.5 minutes per mile.

If we divide 150 by 20, we get the unit rate for the ratio 150 minutes for every 20 miles.

150÷20=7.5

So the runner is running 7.5 minutes per mile. We can multiply this unit rate by the number of miles:

7.5minute mile×6 miles=45 minutes

Thus it will take her 45 minutes to run 6 miles at this pace.

If it takes her 45 minutes to run 6 miles, it will take her 45÷3=15 minutes to run 6÷3=2 miles at the same pace.

If it takes her 15 minutes to run 2 miles, it will take her 4×15=60 minutes to run 4×2=8 miles at the same pace. Since 60 minutes is 1 hour, she is running at a speed of 8 miles per hour.

We found her pace in minutes per miles in part (a).

Using the speed - distance relationship, kira's speed in miles per hour would be 4.8 miles per hour.

Given the Parameters :

Speed = 5/12 hours = 0.416666 hour Distance = 2 miles

Speed = distance / time

Hence,

Speed = (2 ÷ 0.416666) = 4.8 miles per hour.

Therefore, Kira's speed is 4.8 miles per hour.

Learn more : https://brainly.com/question/13816092

Billy and Joe go to McDonalds for lunch. They order 2 burgers, 3 fries, and 2 sodas. The mom
bugers cost $3.50 each. The sodas cost $1.00 each. If the total was $16.29 how much was
each fry. Write and solve an equation to represent this situation. Round your answer to
the nearest tenth

Answers

Answer:

2.43 and rounded it is 2 dollars

Step-by-step explanation:

2 burger-$7.00

3 Fries-

2 Sodas- $2.00

7+2=9

$16.29-9.00=7.29

$7.29/3=2.43

The sum of the 112th term of the geometric series is 256 and the common ratio is 3/4. Find the first term of the first geometric series.

Answers

Answer:

First term = 64

Step-by-step explanation:

We are given the formula for the nth term of a geometric series to be;

S_n = (a1(1 - rⁿ))/(1 - r)

Where:

S_n is the sum of n terms

A1 is first term

r is common ratio

We are given;

S_112 = 256

r = ¾

Thus;

256 = a1(1 - ¾^(112))/(1 - ¾)

256 = a1(4)

a1 = 256/4

a1 = 64

James determined that these two expressions were equivalent expressions using the values of x - 4 and x - .6
Which statements are true? Check all that apply.
7x+4 and 3x+5+4x-1
When x = 2, both expressions have a value of 18.
The expressions are only equivalent for x = 4 and x = 6.
The expressions are only equivalent when evaluated with even values.
The expressions have equivalent values for any value of x.
The expressions should have been evaluated with one odd value and one even value.
When x = 0, the first expression has a value of 4 and the second expression has a value of 5.
The expressions have equivalent values if x = 8.

Answers

Answer:2 4 and 5

Step-by-step explanation:

Carmine and Hiram are solving the following word problem.

Gina is training for a marathon. She ran 6.75 miles on Saturday. On Sunday, she ran 7.20 miles. How far did she run on Saturday and Sunday combined?

Carmine sets up his problem as 6.75 + 7.20

Hiram sets up his problem as 7.20 + 6.75

Who is correct? Carmine, Hiram, or both

Answers

Answer:

Both is the anwser.

Step-by-step explanation:

Look it this way its simple 7.20 plus 6.75 equals 13.95

6.75 plus 7.20 is 13.95 theres no decimals changing in this problem meaning that both of them are correct.

whats the rate if 13 inches of snow in 7 hours

Answers

Answer:

1.86 (rounded to nearest hundredth) inches of snow in 1 hour

Step-by-step explanation:

Divide 13 inches of snow by 7 hours

The answer is 1.8571428571428571428571428571429

Round to the nearest hundredth

1.86

Hope this helped :)

[tex]\textsf{Hey there!}[/tex]

[tex]\textsf{What's the rate of 13 inches of snow in 7 hours?}[/tex]

[tex]\mathsf{\dfrac{13\leftarrow \bf{inches}}{7\leftarrow{hours}}} \\\\\mathsf{\dfrac{13\div7\leftarrow inches}{7\div7\leftarrow hours}}\\\\\mathsf{7\div7=1}\\\\\mathsf{\dfrac{13\div7\leftarrow\underline{ inches}}{1\leftarrow \underline{hour(s)}}}\\\\\mathsf{13\div7=1.857143}\\\\\mathsf{\dfrac{1.857143\leftarrow \frak{inches}}{1\leftarrow\frak{hour(s)}}}}}}\\\\\mathsf{1.85714\div1=\bf{ANSWER}}\\\\\textsf{Solve above and you have your answer.}[/tex]

[tex]\lhuge\text{Note: We're rounding our answer because the actual answer will take some time}[/tex]

[tex]\boxed{\boxed{\textsf{Thus, your answer is: \boxed{\boxed{\large\textsf{\bf1.86 inches per hour}}}}}}\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}\\\\\frak{LoveYourselfFirst}[/tex]

Question #3: Can you add the following terms? Why or why not?
3V2 + 2V2

Answers

Yes, it’s because they are like terms. They both have the same variable and exponent. (v^2) Only the coefficients are added together.

So when they’re added, it becomes 5v^2.

A bag of garden soil weighs 44 pounds and holds 5cubic feet. Find the weight of 15 bags in kilograms and the volume of 15 bags in cubic yards.

Answers

Answer:

Weight of 15 bags in Kg: 299.4 Kg

Volume of 15 bags in cubic yards: 1.11 cubic yards

Step-by-step explanation:

Weight of 15 bags is calculated as follows:

Let's convert 44 pounds to Kg.

1 pound-------0,453592 Kg

44pounds------x

To find the weight of 15 bags we have to multiply the weight of one bag by 15:

Weight of 15 bags=19.95*15=299.4 Kg

Volume of 15 bags is calculated as follows:

First we need to convert one bag volume that is given in cubit feet to cubic yards:

1 cubic feet---------------0.03704 cubic yard

2 cubic feet----------------x

To find the volume of 15 bags we have to multiply the volume of one bag by 15:

Volume of 15 bags=0.07407cubic yard*15= 1.11 cubic yards

Step-by-step explanation:

499 to the nearest hundred

Answers

Answer:

the correct answer would be 500

Step-by-step explanation:

Answer:

500

Step-by-step explanation:

hope this helps

How far does the tip of the minute hand of a clock move in 20 minutes if the hand is 10 inches long?

Answers

Answer:

20.95 inches

Step-by-step explanation:

The complete revolution of the minute hand forms a circle in 60 minutes.

circumference of a circle = 2[tex]\pi[/tex] radius

i.e C = 2[tex]\pi[/tex]r

But from the question, r = length of the minute hand = 10 inches

⇒ C = 2[tex]\pi[/tex] x 10

  = 20[tex]\pi[/tex]

C = 20[tex]\pi[/tex] inches

Also, 20 minutes = [tex]\frac{20 minutes}{60 minutes}[/tex] = [tex]\frac{1}{3}[/tex] of the circumference.

So that,

the distance of the tip of the minute hand = [tex]\frac{1}{3}[/tex] x C

                                                                     = [tex]\frac{1}{3}[/tex] x 20[tex]\pi[/tex]

                                                                     = [tex]\frac{1}{3}[/tex] x 20 x [tex]\frac{22}{7}[/tex]

                                                                     = 20.9524

                                                                     = 20.95 inches

Thus, the distance of the tip of the minute hand is 20.95 inches

A loaf of sandwich bread contains 24 slices. Which of these tables correctly shows the ratios of different numbers of loaves of bread to the numbers of total slices they contain?

Answers

Answer:

which table?

Step-by-step explanation:

im assuming it would look like this

1   24

2  48

3  72

4  96

5  120

6  144

7  168

8  192

9  216

10  240

just multiply the number of loaves to 24

Hope this helped :)

Help please and thank you

Answers

Answer:

1. 22

2. 8

3. 31

4. 20

5. 38

6. 22

7. 26

8. 16

9. 14

10. 28

Step-by-step explanation:

USE PEMDAS

P: Parantheses

E: exponents

D: division

A: addition

S: subtraction

and ywww

Farmers market Sells grapefruit strawberries and avocado they each have a different cost and are price per box Alyssa Buys two boxes of strawberries and three boxes of avocados and spent $23 London by three boxes of grapefruit and four boxes of strawberries in Spain $19 Tina by seven boxes of grapefruit and five boxes of avocados in Spencer $51 find the missing quantity below

Answers

Answer:

The cost of grapefruits per box is $3, The cost of strawberries per box is $2.5

The cost of avocados per box is $6

Step-by-step explanation:

Let us represent the price of Grapefruits per box = g

Strawberries per box = s

Avocados per box = a

Alyssa buys two boxes of strawberries and three boxes of avocados and spent $23

2s + 3a = 23 ....... Equation 1

a = 23 - 2s

London buys three boxes of grapefruit and four boxes of strawberries in Spain $19

3g + 4s = 19 ....... Equation 2

Tina buys seven boxes of grapefruit and five boxes of avocados in Spencer $51

7g + 5a = 51..... Equation 3

2s + 3a = 23 ....... Equation 1

3g + 4s = 19 ....... Equation 2

7g + 5a = 51..... Equation 3

Substituting 3a = 23 - 2s in Equation 3

a = 23 - 2s/3

7g + 5(23 - 2s/3) = 51

7g +( 115 - 10s/3) = 51

Multiply through by 3

7g × 3 + ( 115 - 10s/3) × 3 = 51 × 3

21g + 115 - 10s = 153

21g -10s = 38 ........ Equation 4

Combining Equation 2 and 4

3g + 4s = 19 ....... Equation 2 × 10

21g -10s = 38 ........ Equation 4 × 4

30 + 40s = 190.. Equation 5

84g - 40s = 152 .... Equation 6

We Add Equation 5 and Equation 6 to eliminate s

114g = 342

g = 342/114

g = $3

To find s, cost 0f straw berries

g = $3

3g + 4s = 19 ....... Equation 2

3(3) + 4s = 19

9 + 4s = 19

4s = 19 -9

4s = 10

s = 10/4

s = $2.5

For find a, the cost of avocados.

7g + 5a = 51..... Equation 3

g = $3

7(3) + 5a = 51

21 + 5a = 51

5a = 51 - 21

5a = 30

a = 30/5

a = $6

g =$ 3, s =$ 2.5 and a = $6.

Therefore:

The cost of grapefruits per box is $3.

The cost of strawberries per box is $2.5 and

The cost of avocados per box is $6

what do expressions (3^3) and (3^4) have in common?​

Answers

Answer:

they are both 3 with different powers

Step-by-step explanation:

The state of Montana is experiencing a warm day after a heavy snowfall. The graph shows the height of snow, h, in centimeters after t hours.

1.) What linear function does the graph represent.

h= 3t = 6
h=3t+18
h=−3t+18
h=−3t+6
The initial value represents which of the following?

The amount of snow melting each hour.

The amount of snow remaining after four hours.

The amount of snow that accumulated the previous night.

Answers

Answer:

1. [tex] h = -3t + 18 [/tex]

2. The amount of snow that accumulated the previous night.

Step-by-step explanation:

1. height of snow = h cm

time = t hrs

To determine the linear function, find the slope (m) of the line, and the y-intercept (b). Then represent the function in slope-intercept form as y = mx + b. Where,

y = h,

x = t

m = slope

b = y-intercept

Find slope (m) using points (6, 0) and (0, 18):

[tex] m = \frac{h_2 - h_1}{t_2 - t_1} = \frac{18 - 0}{0 - 6} = \frac{18}{-6} = -3 [/tex]

m = -3

The y-intercept is where the line intercepts the y-axis = 18

Substitute y = h, x = t, m = -3, and b = 18 into y = mx + b.

Thus, the linear function would be:

[tex] h = -3t + 18 [/tex]

2. The Initial value is the y-intercept, which is 18. In this case, 18 represents the amount of snow in cm, that accumulated the previous night.

Classify the equation 5 (2x + 3) = 3(3x + 12) as having one solution, no solution, or infinitely many solutions.

Answers

Answer: one solution I believe

Step-by-step explanation: I got 21 as my answer and that is one solution

Rewrite 14/32 in simplest form.​

Answers

Answer:

7/16

Step-by-step explanation:

Answer:

14/32 = 7/16

Step-by-step explanation:

You divide each number by two

Solve for y
3(7y + 4) = 15y + 6y +4+8

Answers

Answer: the are no values of y that make it true

Step-by-step explanation: no solution

Answer:

-4/7

Step-by-step explanation:

When designing a study to determine this population proportion, what is the minimum number of drivers you would need to survey to be 95% confident that the population proportion is estimated to within 0.04

Answers

Answer: 601

Step-by-step explanation:

The formula to find the minimum sample size(n) , if the prior population proportion is unknown:

[tex]n=0.25(\dfrac{z^c}{E})^2[/tex], where E = margin of error , [tex]z^c[/tex] = critical z-value for confidence level c.

Given : E  = 0.04

Z-value for 95% confidence = 1.96

So, the minimum sample size required = [tex]0.25(\dfrac{1.96}{0.04})^2=0.25(49)^2[/tex]

[tex]= 0.25\times 2401=600.25\approx601[/tex]

Hence, the minimum sample size required = 601

Raul can ride his unicycle 2.5 miles in 30 minutes. If he maintains the constant speed, what number of total miles can he travel in 90 minutes.​

Answers

Answer:

Raul would ride 18 miles.

Step-by-step explanation:

60/10 =6

3x6=18

Answer:

18 miles is your answer

An airplane can ascend at a rate of meters in of a second. How many meters can the airplane ascend in one second?
A. 35


B. 52 1/2


C. 78 3/4


D. 39 3/4

Answers

Answer:

78 3/4 I think is the answer

78 3/4 is the answer
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