is f(x)=7-2x a polynomial function

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

'

Yes, this F(x) is a polynomial function involving the first and null integer powers of x:  x^0 and x^1.


Related Questions

Three six-sided dice are rolled, one red, one green, one blue. How many ways are there to roll the three dice so that two of the dice have the same value and the other die has a value smaller than the common value on the other two?

Answers

Answer:

15

Step-by-step explanation:

Given that:

Three six-sided dices are to be rolled.

The number of ways to have the same value on the two dices is:

{(1,1) ,(2,2) ,(3,3) ,(4,4) , (5, 5 ) ,(6 ,6) }  = 6 ways

Thus; the objective is to determine the number of ways to a get smaller value on the third dice  while the two other dice have the same value.

To get started:

The number of ways for getting a value smaller than 1 = 0

The number of ways for getting a value smaller than 2 = 1

{i.e. (2,2,1)}

The number of ways for getting a value smaller than 3 = 2

{ i.e. (3,3,1) ,(3,3,2) }

The number of ways for getting a value smaller than 4 = 3

{ i.e. (4,4,1) , (4,4,2), (4,4,3)}

The number of ways for getting a value smaller than 5 = 4

{i.e. (5 ,5,1) ,(5,5,2) ,(5,5,3), (5,5,4)}

The number of ways for getting a value smaller than 6  = 5

{i.e. (6,6,1), (6,6,2), (6,6,3), (6,6,4), (6,6,5) }

Thus, the total number of ways = 0 + 1 + 2 + 3 + 4 + 5 = 15

Therefore, the total number of ways getting the value same on two dices and smaller value on the third dice = 15

A pool drains 5000 gallons of water over the course of 5 hours. How many gallons of water, on average, does the pool drain each hour?

A. -5000 gallons per hour
B. -1000 gallons per hour
C. -100 gallons per hour
D. 1000 gallons per hour

Answers

Answer:

D. 1000 gallons per hour

Step-by-step explanation:

5000 / 5 = 1000

Answer: If it drained 5000 gallons and there were 5 hours, then 5000 divided by 5 is 1 so that would be answer D.

Hoped this helped!

You are given a penny on January 1, two pennies on January 2, four pennies on January 3, and eight pennies on January 4, and so on. 1.

Assuming the pattern continues, how many pennies do you get on the following dates? January 5 January 10 January 31

Answers

Answer:

january 5 :12

january 10:22

Step-by-step explanation:

Answer:

16 pennies512 pennies1073741824 pennies

Step-by-step explanation:

We can see a pattern:

Days >>   Pennies1        >>   1= 2^02        >>  2= 2^13       >>   4 = 2^24       >>   8 = 2^3...n       >>   2^(n-1)

So

January 5 fall on n = 5, therefore 2^4 = 16 penniesJanuary 10 falls on n = 10, therefore 2^9 = 512 penniesJanuary 31 falls on n = 31, therefore 2^30 = 1073741824 pennies

In a survey of a random sample of 35 households in the Cherry Creek neighborhood of Denver, it was found that 8 households turned out the lights and pretended not to be home on Halloween. Compute a 90% confidence interval for p, the proportion of all households in Cherry Creek that pretend not to be home on Halloween. (Round your answers to four decimal places.)

Answers

Answer: (0.1118, 0.3454)

Step-by-step explanation:

Confidence interval for population proportion is given by :-

[tex]\hat{p}\pm z^c\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex] , where [tex]\hat{p}[/tex]= sample proportion , n= sample size, [tex]z^c[/tex] = critical z-value for c confidence level.

Let p = the proportion of all households in Cherry Creek that pretend not to be home on Halloween.

Given : n= 35

[tex]\hat{p}=\dfrac{8}{35}\approx0.2286[/tex]

Critical z-value for 90% confidence level =1.645

A 90% confidence interval for p, the proportion of all households in Cherry Creek that pretend not to be home on Halloween:

[tex]0.2286\pm (1.645)\sqrt{\dfrac{0.2286(1-0.2286)}{35}}\\\\=0.2286\pm 0.1168\\\\=(0.2286-0.1168,\ 0.2286+0.1168)\\\\=(0.1118,\ 0.3454)[/tex]

∴ Required confidence interval : (0.1118, 0.3454)

I BET YOU CANT SOLVE THIS

Answers

Answer:

Step-by-step explanation:

5 x ( 9 + 4 ) = ( 5 x __ ) + ( 5 x __ )

using distributive property,

the answer is

( 5 x 9 ) + ( 5 x 4 )

if u want the final answer

it becomes

45 + 20

= 65

Hope this helps

plz mark as brainliest!!!!!!!!

something divided by -7 that gives -4 PLEASE I NEED HEEELP

Answers

Answer:

28

Step-by-step explanation:

Just do -4 multiplied by -7 which is 28

When divided it gives you -4

Answer:

just look it up

Step-by-step explanation:

Safari, Ask what u need too, and that is it

Brody deposited $500 into a savings account that earns 1% interest compounded annuall. He
makes no more deposits and no withdrawals. How much interest has Brody's account earned
after 2 years?

Answers

Answer:

he would get 10$

Step-by-step explanation:

if you divide 500 by 1 you get 5 times that by 2

helpppp it’s my friends birthday

Answers

-2(13/20)
there you go

Given the following two equations determine if they are parallel, perpendicular, or neither.
3x + 6y = 30
4y + 2x = 9

Please show work!

Answers

Answer:

Parallel

Step-by-step explanation:

What you want to do first is to put both equations into the slope intercept form: y=mx+b.

In the first equation, you move the [tex]3x[/tex] to the right side of the equal sign by subtracting on both sides:

[tex]6y = -3x + 30[/tex]

Then you want to divide both sides by 6 to isolate y:

[tex]y = -\frac{1}{2}x + 5[/tex]

Next for the second equation, you do similar steps. You subtract [tex]2x[/tex] from both sides:

[tex]4y=-2x+9[/tex]

Then you want to divide both sides by '4' to isolate y:

[tex]y= -\frac{1}{2}x+\frac{9}{4}[/tex]

Now to check if the two equations are parallel, perpendicular, or neither, you compare the slopes 'm' which is the coefficient next 'x'. If two equations have the same slope, then they are parallel. If the slopes multiplied equal -1, then they are perpendicular. If the slopes are not the same or if the product of the slopes is not -1, then it is neither.

In the case of this problem, the slopes are the same, so the equations are parallel:

[tex]-\frac{1}{2} = -\frac{1}{2}[/tex]

How did they figure out the answer was 4 for the fraction problem solving. There are 36 people in the Newtown Hiking Club. 2/3 of the club must vote yes if the club is to hike the Northern Trail. 20 people have voted yes. How many more yes votes are needed?

Answers

Answer:

   

Step-by-step explanation:

Principal=$100 rate=5% years=3 what is the interest?

Answers

Answer:

Interest would be $15 every 3 years

Step-by-step explanation:

Interest = Principal x Rate x Time

Interest = 100 x 5% x 3

Interest = 5 x 3

Interest = 15

Someone help me with this please

Answers

Answer:

pretty sure it's B, its just really hard to see

Step-by-step explanation:

Place the following numbers from least to greatest.



4.14, 3.24, 3.14, 4.24

Answers

3.14, 3.24, 4.14, 4.24
3.14, 3.24, 4.14, 4.24

Find the slope. (4,2) (7, 6.5)​

Answers

Answer:

B.

Step-by-step explanation:

m=y2-y1/x2-x1

6.5-2=4.5

7-4=3

4.5/3=1.5

the slope is 1.5

hope this helps :3

if it did pls mark brainliest

Find the variance for the given data. Round your answer to one more decimal place than the original data.

{12.4, 10.7, 14.5, 10.1, 16.5}

Answers

Answer:

5.6864

Step-by-step explanation:

Find the variance for the given data. Round your answer to one more decimal place than the original data.

{12.4, 10.7, 14.5, 10.1, 16.5}

is it possible to build a triangle with lengths of 5 7 12

Answers

Answer:

No

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

How will increasing the level of confidence without changing the sample size affect the width of a confidence interval for a population mean?

Answers

Answer:

The width of the confidence interval is going to be wider

Step-by-step explanation:

When we Increase the level of confidence without changing the sample size the width of the confidence interval is going to be affected in the following way;

The margin of error (M.E) is going to be larger or be increased. This increase is due to the fact that the critical value is going to increase. Then the increased margin of error would cause the width of the confidence interval to become wider.

This answers your question.

Help please please please

Answers

A, make me the brainiest answer too pls

Solve the equation. Type just the numeral answer. Do NOT round your solution.
n
= -1.2
-1.5
n=

Answers

Answer:

-2.7

thats the answer but i cant submit without some words lol

Answer:

n= 1.8

Step-by-step explanation:

Solve the following expression:

n/-15 = -1.2

-Multiply -1.5  on both sides:

(-1.5) n/-1.5 = -1.2(-1.5)

n=1.8

Therefore, the final answer is n = 1.8.

Solve: C - 20 = 4 - 3c
Need to solve for C

C=___

Answers

Answer:

C = 6

Step-by-step explanation:

Here are steps

C - 20 = 4 - 3C

C + 3C = 4 + 20

4C = 24

C = 6

use approximations to 1 significant figure, estimate the value of
0.482x61.2²÷√98.01

Answers

Answer:

182.353745455

Answer:180

Step-by-step explanation:

Given C is the midpoint of BD.
Prove: AACB AACD
Reasons
Statements
1. C is the midpoint of BD
1. given
A
2. BC e CD
2.
3. AC e AC
3. reflexive property
4. given
B
С
4.2BCA and 2DCA
are right 25
5.
D
5. all rights are
Complete the two-column proof.
6. AACB = AACD
6. SAS

Answers

Answer:definition of midpoint, angle BCA is congruent to angle DCA

The triangles ΔABC and ΔADC are congruent triangles by

a) definition of mid-point

b) measure of ∠ACB = measure of ∠ACD = 90°

What are Congruent Triangles?

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be represented as ΔABC

Let the second triangle be represented as ΔADC

Now , the side AC is the common bisector of both the triangles such that

C is the midpoint of BD

So , the measure of side BC = measure of side CD

And , the perpendicular bisector is right angle

So , the measure of ∠ACB = measure of ∠ACD = 90°

And , the measure of AC = measure of AC ( reflexive property )

Therefore , the triangles are congruent by SAS theorem

Hence , the triangles are congruent

To learn more about congruent triangles click :

https://brainly.com/question/26131452

#SPJ5

Madeline has two different candles made by two different companies. The length in centimeters of the first candle depends on its burning time t (in hours) according to the formula f(t)= 20-1.5t. The length (in centimeters) of the second candle over time

Answers

Answer:

I needed help with this answer well, because im on it right now.

Step-by-step explanation:

I'm in algebra and I don't understand how to solve this equation or problem :(

A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint I order to make green paint.Which ratio of gallons of blue paint to gallons of yellow paint green will make the same shade of green paint

Answers

Answer:

10:18   10 gal of blue paint and 18 gal of yellow paint.

Step-by-step explanation:

Answer:

i'm going to guess either 5:9 or 9:5...

Step-by-step explanation:

Whoever answers this gets brainlist!

Answers

Answer: 5^5.

Step-by-step explanation: Using the equation x^a*x^b = x^(a+b), we find that 5^2*5^3 is equal to 5^5.

If the Constant of Proportionality between X and Y is 12, which equation represents their relationship?

Answers

Answer:

y=12x   12=k   k=constant of Proportionality

Step-by-step explanation:

2 1/8 and 17/8 are reciprocal numbers. True False

Answers

Answer:

False

Step-by-step explanation:

If make 2 1/8 into an improper fraction, it will be 17/8. a reciprocal is a flip of a number, so it is false.

the tax on a purchase of $20 is 1.12. how much will tax be on a purchase of $45.50

Answers

Answer:

$ 1,593.75

Step-by-step explanation:

this is the advanced sale calculation if you wan a simple one i can write that in the comments! hope this help you! :D

On a test a student got 15 problems correct out of a total of 20 problems.
What percent did the student get incorrect?
HURRY

Answers

Divide 15 by 20

15 divided by 20 is 75%

2 1/2 times (-3 3/4)

Answers

Answer:

-9.375

Step-by-step explanation:

2 1/2 x (-3 3/4) = -9.375

Answer: [tex]-9\frac{3}{8}[/tex]

Step-by-step explanation:

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