State in words the rule defined by each of the functions below. For example, in (a) the rule for f is "multiply the input by 6"a) f(x) = 62.b) f(x) = 2x - 3.c) h(t) = 3 - 5.

Answers

Answer 1

Answer:

a) [tex]f(x) = 6x[/tex]

if x = input

then the function of the input is to  "multiply the input by 6"

b)  [tex]f(x) = 2x - 3[/tex]

the function of the input = two multiply by the input minus six

c) [tex]h(t) = t^3 - 5[/tex]

the function of the input = the cube of the input minus five

Step-by-step explanation:

Given that:

a) [tex]f(x) = 6x[/tex]

b) [tex]f(x) = 2x - 3[/tex]

c) [tex]h(t) = t^3 - 5[/tex]

The objective is to state in words the rule defined by each of the functions

We are being given the first question as a sample that:

a) [tex]f(x) = 6x[/tex]

if x = input

then the function of the input is to  "multiply the input by 6"

b)  [tex]f(x) = 2x - 3[/tex]

the function of the input = two multiply by the input minus six

c) [tex]h(t) = t^3 - 5[/tex]

the function of the input = the cube of the input minus five


Related Questions

James went on a fishing trip.

Answers

We need more information to solve this.

Are the functions inverses? Why or why not?

Answers

Answer:

The answer is not an inverse function.

Step-by-step explanation:

The inverse function does not reverse. In other words,  f(x) = x-5/10 and h(x) =10x+5 does not mirror.

Which equation represents the line that passes
through the point (1,5) and has a slope of -2?
1) y = -2x + 7
2) y = -2x + 11
3) y = 2x-9
4) y = 2x + 3

Answers

Answer:

Step-by-step explanation:

y - 5 = -2(x - 1)

y - 5 = -2x + 2

y = -2x + 7

Option 1 is the answer

what's 198.040 divided by 98.100 and plus 100.000 times 4.300.

Answers

Answer:

868.065

Step-by-step explanation:

198.040 ÷ 98.1 + 100 x 4.3

= 2.0188 + 100 x 4.3

= 201.8756 x 4.3

= 868.065

Steps to solve:

198.040 ÷ 98.1

~Divide

2.0187563... or 2.02

Steps to solve:

100 * 4.3

~Multiply

430

Best of Luck!

Square root !!!!!!!!

Answers

Answer:

hope this helped

Step-by-step explanation:

Step 1: Calculate. We calculate the square root of 50 to be: √50 = 7.07106781186548.

Step 2: Reduce. 7.07.

Step 3: Round. Round 7.07 so you only have one digit after the decimal point to get the answer: 7.1.

Which sets of numbers does -3/4 belong to

Answers

Answer:

It belongs to the... RATIONAL number set

Which of the following could be a rational number? A. the sum of two irrational numbers B. the product of two irrational numbers C. the sum of a rational number and an irrational number D. the product of a rational number and an irrational number​

Answers

Answer:

B. the product of two irrational numbers

Step-by-step explanation:

To be a rational number, we need to multiply two irrational numbers

An example would be

sqrt(2) * sqrt(2) = sqrt(4) = 2

Answer:

The product of two irrational numbers

Step-by-step explanation:

3(2x-4)=4(4x-1) can someone please help ?

Answers

Answer:

x=-4/5

Step-by-step explanation:

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

6x-12=16x-4

-10x=8

x=-8/10

x=-4/5

297,060 + 0.0004839 =

Answer in Scientific Notation

Answers

Answer:

2.970600004839 × 10^5

Step-by-step explanation:

First, we add up these 2 numbers.

297,060 + 0.0004839 = 297060.0004839

Then, we convert that into scientific notation.

297060.0004839 = 2.970600004839 × 10^5

Finally, we check if it's right.

10^5 = 100000

2.970600004839 * 100000 = 297060.0004839

Hope this helps.

On a number line, point A is at coordinate 1. Point B is at coordinate-5. Find the
coordinate that is the midpoint from A to B.

Answers

Answer:

-2

Step-by-step explanation:

Midpoint is the half of the sum of endpoints

Point A = 1

Point B = - 5

Midpoint :

(1 + (-5))/2 = -4/2 = -2

Find the slope of a line parallel to the line:

5 x plus y equals 15

Answers

Answer:

the answer is y=-5

This angle has all of the following names, except:



Answers

Answer:

its c. <vwx

Step-by-step explanation:

i got it right

A pillow that usually costs $18 is marked down 25%. Use the table to find the pillow’s new price.

Answers

It would be 13.50 because 50% off of 18$ is 9$ but it’s not 50% off itS 25% off so If you take the 50% Off price of 9$ and add 4.50 (One more 1/4th) you get $13.50

The Key Club is selling personalized valentines to raise money.  The print shop charges $2 for each valentine, plus a flat rate of $10 for printing.  Write an equation to represent how many valentines the club can print with a budget of $125.​

Answers

the answer is 2x + 10 = 125

Answer:

2x + 10 = 125 is the answer

did it on edge

Step-by-step explanation:

PLEASE HELP RIGHT AWAY: Set the left side of this equation equal to f(x) and the right side equal to g(x) . Then graph y=f(x) and y=g(x) on the same coordinate grid. (x+1)^2-2=2/x

Answers

Answer:

Step-by-step explanation:

heres the answer

Jonas is planning out his route for an upcoming race. He uses negative numbers to represent points before the finish line and positive numbers to represent points after the finish line.




On Jonas's map, there is a bridge at -91 3/4 meters, and his wife is watching him at 14 1/2 meters.




What do 0 meters represent?

Answers

Answer:

The finish line

Step-by-step explanation:

This is because, since negative numbers are used to represent points before the finish line, and positive numbers are used to represent points after the finish line, the finish line can only be represented by the number zero. Since on Jonas' map, there is a bridge at -91 3/4 metres, therefore, the bridge is 91 3/4 metres before the finish line. And, since his wife is watching at 14 1/2 metres, since this number is positive, she is 14 1/2 metres after the finish line. So, the finish line itself, will be represented by 0 metres since this is indicated a change from negative to positive.

Given: <1 and <2 are supplementary, and <2 and <3 are supplementary. Prove: <1 is congruent to <3

Answers

Step-by-step explanation:

If ∠1 and ∠2 are supplementary, then m∠1 + m∠2 = 180° (1).

If ∠2 and ∠3 are supplementary, then m∠2 + m∠3 = 180° (2).

From (1) we have

m∠1 + m∠2 = 180°           /subtract m∠1 from both sides

m∠2 = 180° - m∠1

substitute it to (2)

(180° - m∠1) + m∠3 = 180°

180° - m∠1 + m∠3 = 180°     /subtract 180° from both sides

- m∠1 + m∠3 = 0        /add m∠1 to both sides

m∠3 = m∠1 ⇒ m∠1 = m∠3 ⇒ ∠1 ≅ ∠3

Sam is 4 times as old as Allie. Write an equation to model this situation. a) s=4A b) A=4S c) S= 4+A d) A= 4+S

Answers

Answer:

a) s=4A

Step-by-step explanation:

If you read the equation out loud it may help!

Sam=4 times Allie

Sams age Equals 4 times the age of Allie

help please! Will mark you as Brainliest!

Answers

Answer:

21

Step-by-step explanation:

What is the base of a triangle with an area of 207 in.² and a height of 18 inches

Answers

We just need to divide so we can find the base length of the triangle:

207 / 18 = 11.5

Therefore, the base length of the triangle is 11.5 inches.

Best of Luck!

Answer:

23 inches

Step-by-step explanation:

A = [tex]\frac{1}{2}[/tex] bh

207 = [tex]\frac{1}{2}[/tex] b x 18

[tex]\frac{207}{9}[/tex] = b

b = 23

Please help me, thank you.

Answers

Answer: 5/9 is ur answer

Step-by-step explanation:

Answer: 5/9

Step-by-step explanation:

5÷9 is 0.555 repeating (which is why there is a line at the top of the 5).

A point on a pre-image is G(5, -2). If its image has coordinates G'(2, 1), what was the translation? (x - 3, y - 3) (x + 3, y - 3) (x - 3, y + 3) (x + 3, y + 3)

Answers

Answer:

(x - 3, y + 3 )

Step-by-step explanation:

Note G(5, - 2 ) → G'(2, 1 )

Requires 3 to be subtracted from 5 to obtain 2 and 3 to be added to - 2 to obtain 1, thus

(x, y ) → (x - 3, y + 3 ) is the translation rule

Answer:

the answer is (x - 3, y + 3 )

Step-by-step explanation:

hope this helps

A survey was given to 277 people asking whether people like dogs and/or cats. 126 said they like dogs 112 said they like cats 90 said they don't like cats or dogs. How many said they liked both cats and dogs?

Answers

51 people said they like both cats and dogs.

Explanation:

277-90= 187
112+126=238
238-187=51

The sum of three numbers is 49. The second number is five less than three times the third number. If the first number is twice the amount of the third number, what is the value of the second number?

Answers

Answer:

(x, y, z) → (18, 22, 9)

Step-by-step explanation:

sum of three numbers is 49

x + y + z = 49

second number is 5 less than three times the third number

y = 3z - 5

first number is twice amount of third number

x = 2z

set of equations

x + y + z = 49

y = 3z - 5

x = 2z

plug in 2nd and 3rd equation into first

(2z) + (3z - 5) + z = 49

combine like terms

2z + 3z - 5 + z = 49

6z - 5 = 49

add 5 to both sides

6z = 54

divide by 6

z = 9

plug z into 2nd and 3rd equations

y = 3(9) - 5

y = 27 - 5

y = 22

x = 2(9)

x = 18

check:

18 + 22 + 9 = 49

(x, y, z) → (18, 22, 9)

Two consecutive EVEN numbers have a sum of 30. What are the numbers?

Answers

Answer:

14 and 16

Step-by-step explanation:

Consecutive even numbers are even numbers that follow each other from smallest to biggest for example 2,4,6,8 are consecutive even numbers. So the consecutive even numbers that have a sum of 30 are 14 and 16 (14+16=30).

HOPE IT HELPED

which ratio is less then 15/24 a.1/2 b.7/8 c. 19/24 d. 6/8

Answers

Answer:

A. 1/2

Step-by-step explanation:

So 15/24 = 0.625

therefore you need to convert all the fractions into decimals and determine which decimal is less than 0.625

a) 0.5 ------ding ding ding correct answer :)

b) 0.875

c) 0.79

d) 0.75

If this helped, please don't forget to give me brainliest!

the correct answer is A

(10 pts) Light bulbs of a certain type are advertised as having an average lifetime of 800 hours. The price of these bulbs is very favorable, so a potential customer has decided to go ahead with a purchase arrangement unless it can be conclusively demonstrated that the true average lifetime is smaller than what is advertised.

Answers

Answer:

We conclude that the true average lifetime is smaller than what is advertised.

Step-by-step explanation:

The complete question is: Light bulbs of a certain type are advertised as having an average lifetime of 800 hours. The price of these bulbs is very favorable, so a potential customer has decided to go ahead with a purchase arrangement unless it can be conclusively demonstrated that the true average lifetime is smaller than what is advertised. A random sample of 21 bulbs was selected, the lifetime of each bulb determined, and the appropriate hypotheses were tested using SPSS, resulting in the accompanying output.  

                         Sample Mean                         Sample Standard Deviation  

Lifetime               738.44                                                   38.30  

Test the appropriate hypothesis for this study (i.e., state the hypotheses, compute the test statistics, compute the p-value, and make a conclusion). What conclusion  would be appropriate for a significance level of 0.05?

We are given that Light bulbs of a certain type are advertised as having an average lifetime of 800 hours.

A potential customer has decided to go ahead with a purchase arrangement unless it can be conclusively demonstrated that the true average lifetime is smaller than what is advertised.

Let [tex]\mu[/tex] = true average lifetime of the light bulbs.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \geq[/tex] 800 hours    {means that the true average lifetime is greater than or equal to what is advertised}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 800 hours    {means that the true average lifetime is smaller than what is advertised}

The test statistics that will be used here is One-sample t-test statistics because we don't know about the population standard deviation;

                               T.S.  =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~   [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample mean lifetime = 738.44 hours

             s = sample standard deviation = 38.30 hours

            n = sample of bulbs = 21

So, the test statistics =  [tex]\frac{738.44-800}{\frac{38.30}{\sqrt{21} } }[/tex]  ~  [tex]t_2_0[/tex]

                                     =  -7.36    

The value of t-test statistics is -7.36.

Also, the P-value of test-statistics is given by;

                 P-value = P([tex]t_2_0[/tex] < -7.36) = Less than 0.05% {from t-table}

Since the P-value of our test statistics is less than the level of significance of 0.05, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the true average lifetime is smaller than what is advertised.

In division, does the big or small letter go first?

Answers

Answer:  Big number

Step-by-step explanation:

In division, does the big or small letter go first?

Answer:

In division, the big one go first.

Step-by-step explanation:

So, when you do division, you can put the big or small ones first but, preferably the big ones because it will be easier to solve the equation.

4/5, √9, -0.95, √32/8, 2.9, - √6 PLEASE order from least to greatest

Answers

Answer:

-√6    -0.95    √32/8      4/5    2.9    √9

Step-by-step explanation:

4/5, √9, -0.95, √32/8, 2.9, - √6

4/5 = 0.8

√9 = 3

√32/8 = 4√2 / 8 = √2/2 = 0.707

-√6 = -2.449

-√6    -0.95    √32/8      4/5    2.9    √9

whats the difference between a variable and a numeral

Answers

Answer:

a numerical variable is a variable where the measurement or number has an empirical meaning.

a variable is a category or a type

Answer:

A numerical variable is a variable where measurement or a number has a numerical meaning.

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