The function f is defined by the following rule.
Find f(x) for each x-value in the table.

The Function F Is Defined By The Following Rule.Find F(x) For Each X-value In The Table.

Answers

Answer 1

Answer:

x     y

-2    36

-1     6

0      1

1       1/6

2       1/36

Step-by-step explanation:

Given

[tex]f(x) = (\frac{1}{6})^x[/tex]

Required

Complete the table

When x = -2.

Substitute -2 for

[tex]f(-2) = (\frac{1}{6})^{-2[/tex]

[tex]f(-2) = 1/\frac{1}{36}[/tex]

[tex]f(-2) = 36[/tex]

When x = -1

[tex]f(-1) = (\frac{1}{6})^{-1[/tex]

[tex]f(-1) = 1/\frac{1}{6}[/tex]

[tex]f(-1) = 6[/tex]

When x = 0

[tex]f(0) = \frac{1}{6}^0[/tex]

[tex]f(0) = 1[/tex]

When x = 1

[tex]f(1) = \frac{1}{6}^1[/tex]

[tex]f(1) = \frac{1}{6}[/tex]

When x = 2

[tex]f(2) = \frac{1}{6}^2[/tex]

[tex]f(2) = \frac{1}{36}[/tex]


Related Questions

NEED HELP ASAP PLEASE HELP

Answers

Answer:

the second one or b. :)

Step-by-step explanation:

Estelle has 6 liters of juice. If she pours 0.25 liters into each glass, how many glasses of juice will she make?

Answers

Answer:

24 glasses

Step-by-step explanation:

We are given that

Estelle has juice=6 liters

She pours juice in one glass=0.25 L

We have to find the number of glasses of juice made by her.

Using unitary method

0.25 L juice pour in 1 glass

1 L juice pour in 1/0.25 glasses

6 liters  juice pour in glasses=[tex]\frac{1}{0.25}\times 6[/tex]

6 liters  juice pour in 24 glasses

Hence, she will make 24 glasses of juice.

The manager at a restaurant found that the cost to produce 150 cups of coffee is $21, while the cost to produce 300 cups of coffee is $36. assume the relationship between the cost y to produce x cups of coffee is linear.
a.) write a linear equation that expresses the cost,y, in terms of the number of cups of coffee,x.
b.) how many cups of coffee are produced if the cost of production is $56?

Answers

Answer:

[tex]y = \frac{1}{10}x + 6[/tex]

500 cups cost $56

Step-by-step explanation:

Given

[tex]x = cups[/tex]

[tex]y = cost[/tex]

[tex](x_1,y_1) = (150,21)[/tex]

[tex](x_2,y_2) = (300,36)[/tex]

Solving (a): Linear Equation

First, we calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Substitute right values

[tex]m = \frac{36 - 21}{300- 150}[/tex]

[tex]m = \frac{15}{150}[/tex]

[tex]m = \frac{1}{10}[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

Where

[tex](x_1,y_1) = (150,21)[/tex]

[tex]m = \frac{1}{10}[/tex]

This gives:

[tex]y = \frac{1}{10}(x - 150) + 21[/tex]

Open bracket

[tex]y = \frac{1}{10}x - \frac{1}{10}*150 + 21[/tex]

[tex]y = \frac{1}{10}x - 15 + 21[/tex]

[tex]y = \frac{1}{10}x + 6[/tex]

Solving (b): Cups of coffees for $56

Substitute 56 for y in [tex]y = \frac{1}{10}x + 6[/tex]

[tex]56 = \frac{1}{10}x + 6[/tex]

Subtract 6 from both sides

[tex]-6+56 = \frac{1}{10}x + 6-6[/tex]

[tex]50 = \frac{1}{10}x[/tex]

Multiply both sides by 10

[tex]10 * 50 = \frac{1}{10}x * 10[/tex]

[tex]10 * 50 = x[/tex]

[tex]500 = x[/tex]

[tex]x = 500[/tex]

Hence: 500 cups cost $56

How many years will it take James to recover his investment?

Answers

I don’t think anyone knows this one not even James

Pls help I’ll brainlest ASAP

Answers

Answer:

-9

Step-by-step explanation:

-6 Divided By 2/3 = -9

2/3 multiplied by -9 = -6

Your  answer will be z = -6/3 or -9

If its wrong I tried-

Please correct answer

Answers

Answer:

14.333 yards

516 inches

Answer:

3) 43 ft = 14.33 yards and 516 inches.

Step-by-step explanation:

43 ft = ? yards

Divide 43 by 3: 43 ÷ 3 = 14.33 yards

43 ft = ? inches

Multiply 43 by 12: 43 × 12 = 516 inches

1)carla tiene 628 galletitas para preparar una torta, cada piso tendra 24 galletitas¿cuantos pisos puede armar?,¿le sobran galletitas o le alcanza justo?

POR FAVOR ES PARA HOY

Answers

Answer:

puede hacer 26 pisos y le sobran 4 galletas

f(x) = x^2 -2x -3 /x-3 identify the discontinuity

Answers

Answer:

Step-by-step explanation:

Again, parentheses would help with clarity. f(x) = (x^2-2x-3)/(x-3)

The denominator is x-3. Division by 0 is undefined, so x ≠ 3.

Lola has a total of 45 beads. Some are black and some are white. The ratio of the number of black beads to the number of white beads is 7:2. How many more black beads little white beads are there?​

Answers

Answer:

The answer is 35:10

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Add the parts of the ratio to get the whole (7 + 2). Divide the total number of beads and the sum of the ratio to find out how many times you'll multiply (45 ÷ 9). Use the ratio to multiply by 5 (5 • 7) and (5 • 2).

There are 35 black beads and 10 white beads.

So, there are 25 more black beads than white beads.

Which ordered pair is NOT included in a graph of y=x+5?

Answers

I need the picture to answer it

Let u= -9, 4 , v= 8, -5 . find u-v.

a- -1, -1

b- -13, 13

c- -17, 9

d- -4, -4

Answers

Answer:

C. -17, 9

Step-by-step explanation:

u = -9, 4

v = 8, -5

u - v

= (-9, 4) - (8, -5)

= (-9 - 8), (4 - (-5))

= -17, 9

I need help on this question please it would mean a lot.!

Answers

Answer:

A

E

F

Step-by-step explanation:

These fractions divided equal repeating decimals.

Hope it helps and is correct!

64
4+4x U
K
36
27
72
T
96
L
Find the value of x.

Answers

The value of {x} is equivalent to 7.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given are two triangles ΔJTU and ΔJLK.

The triangles ΔJTU and ΔJLK are similar.

We can write the proportional relation as -

{JU/JK} = {JT/JL}

{- 4 + 4x/64} = {27/72}

{- 4 + 4x/64} = 3/8

- 4 + 4x = 24

4x = 28

x = 7

Therefore, the value of {x} is equivalent to 7.

To solve more questions on algebraic expressions, visit the link below -

brainly.com/question/1041084

#SPJ1

The value of x is 7.

What are similar triangles?

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

From the given figure,

Consider ΔJKL and ΔJUT

If T and U are midpoints on JL and JK, then TU is parallel to LK.

Then ∠T=∠L (Corresponding angles)

∠U=∠K (Corresponding angles)

Hence, ΔJKL is similar to ΔJUT

Now, JT/JL = JU/JK = TU/LK

27/72 = -4+4x/64 = 36/96

9/24 = -4+4x/64 = 12/32

3/8 = -4+4x/64 = 3/8

-4+4x/64 = 3/8

-4+4x=24

4x=28

x=7

Therefore, the value of x is 7.

To learn more about the similar triangles visit:

https://brainly.com/question/25882965.

#SPJ1

h(t)=(49+4.9t)(10-t) solve for t

Answers

Answer:

t = ±10

Step-by-step explanation:

after using the FOIL method you have the following:

490 + 49t - 49t - 4.9t²

middle two terms zero out

h(t)= -4.9t² + 490

if you multiply by -10 you can get perfect squares

h(t) = 49t² - 4900 which has two factors:  (7t + 70)(7t - 70)

now set each factor equal to zero and solve:

7t + 70 = 0                      

7t = -70

t = -10

7t - 70 = 0                      

7t = 70

t = 10

How to find the coefficients

Answers

Answer:

A number used to multiply a variable. Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient. Variables with no number have a coefficient of 1.

Step-by-step explanation:

How do I solve this......?

Answers

Answer:

1.0.87

2.87/100

3.25%

4.0.25

5.35%

6.7/20

Step-by-step explanation:

a factory has 8 more than 10 times as many doors as a school which has s doors. how many doors does the factory have

Answers

Answer: 80

Step-by-step explanation:

8 times more than ten is 80

The factory has 10s + 8 doors.

Jules wants to put a fence around his backyard. What is the perimeter of his backyard?​

Answers

I need more information to solve.

Please help !! Thank youuu

Answers

Answer:

System A is A System B is B

Step-by-step explanation:

System A is A and system B is B

Which expression can be used to determine how far around a rider has traveled after the Ferris wheel has gone around 8 times?

ANSWER FAST PLEASE

Answers

Answer:

Its A

Step-by-step explanation:

But don't believe me this is wrong

Replacing x with 0.75 in x 2 will give you an answer of 0.5625

TRUE OR FALSE.

Answers

Answer

TRUE

MARK AS BRAINLIEST

A hot air ballon is descending at a rate of 100 feet per minute. After 6 minutes, the hot air ballon is 200 feet above the ground.

Answers

Answer:

800 feet i think but is this the full question

Step-by-step explanation:

it takes 30 kids 6 hours to build a man sized Sand Castle. how many kids were there if the same game took only two-and-a-half hours ​

Answers

Answer:

There were 72 kids there.

Step-by-step explanation:

This question can be solved using proportions, by a rule of three.

The number of kids and time are inversely proportional, that is, if we increase the number of kids to build the castle, the time it takes will decrease. This means that to solve the rule of three, instead of applying cross multiplication, we apply line multiplication.

We have that:

30 kids - 6 hours

x kids - 2.5 hours.

Applying line multiplication

[tex]2.5x = 30*6[/tex]

[tex]x = \frac{180}{2.5}[/tex]

[tex]x = 72[/tex]

There were 72 kids there.

Which expression does not equal to the others?
A
567 /1,000
-------------------
B
56.7 / 10,000
----------------------
C
5.67 /10
---------------------
D
56.7 /100

Answers

Answer:

B is not equal to the others

Step-by-step explanation:

Need help with math points and brainlest

Answers

Answer:

Step-by-step explanation:

Heidi earns 3% commission on jewelry she sells each week last week she sold 5,000 worth of jewelry how much did she make in commission. ​

Answers

3% commission of 5000 = $150

I don't understand please help ​

Answers

Answer:

Step-by-step explanation:

the average rate of change is the same as

the slope of a line m = (y2-y1)/(x2-x1)

to find if is positive of negative look at the line between the years given (for example between 1930 and 1940)

if from left to right the line goes downward the rate of change is negative

if from left to right the line goes upward the rate of change is positive

Researchers interviewed street prostitutes in Canada and the United States. The mean age of the 100 Canadian prostitutes upon entering prostitution was 19 with a standard deviation of seven. The mean age of the 130 United States prostitutes upon entering prostitution was 21 with a standard deviation of nine. Is the mean age of entering prostitution in Canada lower than the mean age in the United States

Answers

Answer:

Step-by-step explanation:

The null and the alternative hypothesis is:

[tex]H_o: \mu_c \ge \mu_{us}[/tex]

[tex]H_a : \mu_c < \mu_{us}[/tex]

The t- student test statistics can be computed as:

[tex]t = \dfrac{x_c- x_{us}}{\sqrt{\dfrac{\sigma_c^2}{n_c} + \dfrac{\sigma_{us}^2}{n_{us}} }}[/tex]

[tex]t = \dfrac{19- 21}{\sqrt{\dfrac{7^2}{100} + \dfrac{8^2}{130} }}[/tex]

t = -2.017  

degree of freedom = (n₁ - 1) + (n₂ - 1)  

= (100 - 1) + (130 - 1)

= 228

Using the data of t-value and degree of freedom;  

The P-value = -0.224

Decision rule: Do not reject the null hypothesis if the p-value is greater than ∝(0.01)

Conclusion: We reject the null hypothesis since the p-value is less than ∝.

Therefore, there is enough evidence to conclude that the mean age of entering prostitution in Canada is lower than that of the United States.

A soda company conducted a taste test for three different kinds of soda that it makes.
It surveyed 200 people in each age group about their favorite flavor and the results are shown in
the table below.
Age
Soda A Soda B Soda C
Under 20
30
44
126
20 to 39
67
75
58
40 to 59
88
78
34
60 and over
141
49
10
10.
What is the probability that a participant chose Soda C or was under 20 years old?
Rounded to the nearest tenth
35.2%
37.8%
52.5%
50%

Answers

Answer:

Step-by-step explanation:

35percent was yonger

Whole page for 81! Good luck!

Answers

Answer:

Prime number: A prime number has factor of only 1 and itself.

Ex: 3: 1 and 3 are the only ways to compose 3.

A whole number that has factors other than 1 and itself is called a composite number.

Ex: 8: the factors of 8 include 1,2,4,8

Circle 5,7,2,19,3,11

Box 18,20,22,16,15,30,26,38,45,10,21,6,14

To determine the prime factorization of a number, you must break down a number into its factors. (im not sure?)

Continute until all of the factors are (im not sure)

Prime factorization is written exponential form (im not quite sure)

30= 2x3x5

30= 2^1 3^1 5^1

24=2 × 2 × 2 × 3

24= 2^3 x 3

sorry idrk if they are all right

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