a. Complete the table.
х
f(x) = 2(2)*
=
-2 -1
0
1
2
1

A. Complete The Table.f(x) = 2(2)*=-2 -10121

Answers

Answer 1

Answer:

1/2,1,2,4,8 in order

Step-by-step explanation:

Given:

[tex]\displaystyle \large{f(x)=2(2)^x}[/tex]

The function can be simplified to:

[tex]\displaystyle \large{f(x)=2^{x+1}}[/tex] via law of exponent.

Recall:

[tex]\displaystyle \large{a^m\cdot a^n=a^{m+n}}[/tex]

Next, substitute given x-values in:

[tex]\displaystyle \large{f(-2)=2^{-2+1}=2^{-1}=\dfrac{1}{2}}\\\displaystyle \large{f(-1)=2^{-1+1}=2^0=1}\\\displaystyle \large{f(0)=2^{0+1}=2^1=2}\\\displaystyle \large{f(1)=2^{1+1}=2^2=4}\\\displaystyle \lage{f(2)=2^{2+1}=2^3=8}[/tex]

Therefore, the solution is 1/2,1,2,4,8


Related Questions

Write an equation in slope intercept form for the line with slope 3/2 and y intercept -8

Answers

Answer:

[tex]y=\frac{3}{2}x-8[/tex]

Step-by-step explanation:

We can use the definition of slope-intercept form to answer this:

[tex]y=mx+b[/tex]

Where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

So all we do is stick in the numbers and we get:

[tex]y=\frac{3}{2}x - 8[/tex]

Please help Will give BRAINLIEST !!! :)

Answers

Answer:

D no. is for sure another I also don't know. So sorry.......

Mike invests $4000 in an account that earns 3% annual interest. How much money will there be in the account after 3 years if the interest is compounded semi-annually?

Answers

Answer:

$4786.72

Step-by-step explanation:

4000(1+0.03/6)^12(3)

Use this formula to find the compounded interest after each 6 months, which would have an interest rate used to increase the amount of money.

How much paper is needed to make a cone with a radius of 6cm, a height of 8cm, and a slant height of 10cm?

Answers

[tex]\sf\large\underline{\star Given:-}[/tex]

[tex]\rightarrow[/tex] Radius(r) of cone = [tex]\sf\pink{6cm.}[/tex]

[tex]\rightarrow[/tex] Height(h) of Cone = [tex]\sf\pink{8cm.}[/tex]

[tex]\rightarrow[/tex] Slant height(l) of cone = [tex]\sf\pink{10cm}[/tex]

[tex]\sf\large\underline{\star To \: Find:-}[/tex]

[tex]\rightarrow[/tex] Length of paper needed to make a cone with above given dimensions (i.e, curved surface area of cone).

[tex]\sf\large\underline{\star Solution:-}[/tex]

[tex]\rightarrow[/tex] As we know that,

Curved surface area of cone = [tex]\sf\blue{πrl}[/tex]

On substituting the value of radius(r) and slant height(l) in this formula we get,

[tex]\rightarrow[/tex] [tex]\sf{=\: \frac{22}{7}×6×10}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\: \frac{22}{7}×60}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\: \frac{1320}{7}}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\: 188.57 cm^2.}[/tex]

Therefore, [tex]\sf\purple{188.57cm^2}[/tex] paper is needed to make a cone of given dimensions.

_____________________________

Hope it helps:)

Step-by-step explanation:

Given:-

Radius of cone :- 6cmHeight of cone :- 8cmSlant height of cone :- 10 cm

To find :-

How much paper is needed to make a cone

Concept :-

We need to find the Curved surface area of cone to find the amount of paper needed to make the cone of given dimensions.

Solution :-

As we know ,

the formula for finding the curved surface area of cone :- πrl

putting the known values ,

CSA :- 3.14 × 6 × 10 cm²

CSA of cone :- 188.4 cm²

I’m in need of help

Answers

Answer: 196 degrees

Step-by-step explanation:

Who is correct Jared or Jim?

Answers

Answer:

  b) Jim

Step-by-step explanation:

Given the angle measures lf Jared's triangle, Jim can draw one that is similar. However he cannot draw one that is congruent without knowing the measure of at least one side.

__

Jim is correct that he needs more information.

4+3÷3(67)-5×8
What is the answer

Answers

The answer is: -35.98507463

Hello people ~
factorise : 3x² + 10x + 8​

Answers

Answer:

(x + 2)(3x + 4)

Step-by-step explanation:

3x² + 10x + 8

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × 8 = 24 and sum = + 10

the factors are + 6 and + 4

use these factors to split the x- term

3x² + 6x + 4x + 8 ( factor first/second and third/fourth terms )

= 3x(x + 2) + 4(x + 2) ← factor out (x + 2) from each term

= (x + 2)(3x + 4) ← in factored form

[tex]\\ \rm\Rrightarrow 3x^2+10x+8[/tex]

[tex]\\ \rm\Rrightarrow 3x^2+6x+4x+8[/tex]

[tex]\\ \rm\Rrightarrow 3x(x+2)+4(x+2)[/tex]

[tex]\\ \rm\Rrightarrow (3x+4)(x+2)[/tex]

Done!

chris took a spelling quiz last week.she got 12 out of 16 problems correct.what percentage did chris get correct

Answers

Answer:

Chris got 75% correct.

Step-by-step explanation:

[tex]\frac{12}{16}[/tex] x 100 = 75

So, the percentage chris got correct is 75%

Answer:

He got 75% correct

Step-by-step explanation:

you can do it like this:

[tex]\frac{12}{16}[/tex] × 100 = 3× 25= 75%

Hope you understood and it helped!!

Suppose n represents the number of multiple-choice questions answered correctly on a 20-question test, The function f(n) represents the points earned on the test, where each question is worth 5 points with no partial credit.

a) Define the function f(n).

b) What is an appropriate domain?

c) What is the range?

Answers

Answer:

A)Let's let M = the number of Multiple choice problems and

N = the number of essay questions.

B)Also, since there are 36 questions altogether, we can say that

M + N = 36

So, therefore

M = 36 - N

Step-by-step explanation:

Hope this helped I couldn’t get C very confusing.

PLEASEEEEE HELPPPPPPP ASAPPPPPPPPPP

Answers

Answer:

Its is 405 gallons

Step-by-step explanation:

If you need an explanation lmk!!!

Answer:

405 gallons

Step-by-step explanation:

The formula to find the amount of water is g=9m-0.17, so 45 is gonna go into the m spot

g=9(45)-0.17

g=405-0.17  <-After you multiply 9 and 45

g=404.83

Now you must round to nearest whole which is 405

I hope this helps

Which of the following equations is the result after the first step in solving 5x – 4 = 15?
A 5x = 19
B x = 2
C 5x = 11
D x – 4 = 3

Answers

Answer:

[A} 5x = 19

Step-by-step explanation:

Let's solve to see what the first step in solving the following equations:

5x - 4 = 15

Add 4 to both sides

5x - 4 + 4 = 15 + 4

5x = 19 {First step after solving}

Divide both sides by the same factor

5x/5 = 19/x

x = 3.8

Thus, the answer is [A] 5x = 19

Kavinsky

Answer:

[A] 5x = 19

Step-by-step explanation:

Solving to see first step:

5x - 4 = 15

     +4    +4          {15 + 4 = 19}

-------------------------

5x = 19    

Divide both sides by 5

5x/5 = 19/5

x = 19/5

x = 3.8

As you can see 5x = 19 is the first step result after solving.

~Lenvy~

i need help!!! please help me

Answers

Answer:

2nd and 4th option

Step-by-step explanation:

The equivalent expression is,

⇒ 4 (5 - 2d)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ 20 - 8d

Now, We can simplify the expression as;

⇒ 20 - 8d

⇒ 4 x 5 - 4 x 2d

⇒ 4 (5 - 2d)

Thus, The equivalent expression is,

⇒ 4 (5 - 2d)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

1. Simplify the radical V3c^2/v27​

Answers

Hi! To solve this problem, your first step is to:            

                                c2

              Simplify   ———

                               v27

The Equation is at the end of step 1:        c2

                                                        (v3) • ———

                                                                   v27

Now STEP 2:

Dividing exponential expressions : 

2.1    v3 divided by v27 = v(3 - 27) = v(-24) = 1/v24

After we done this, your Final result is:      c2

                                                                   ———

                                                                     v24

Use the point-slope form of a line to write the equation of
a line that has a slope of 2 and passes through the point
(4,3). Write the equation in slope-intercept form.

Answers

Answer:

y=2x-5

Step-by-step explanation:

Hi there!

We are given that a line has a slope of 2, and passes through the point (4,3)

We want to use point-slope form to find this equation of the line, yet we want to write this in slope-intercept form

Point-slope form is given as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point

As we are already given the slope and a point, we can substitute these values into the formula to find the line.

First, substitute 2 as m in the equation:

[tex]y-y_1=2(x-x_1)[/tex]

Now substitute 4 as [tex]x_1[/tex] and 3 as [tex]y_1[/tex]

[tex]y-3=2(x-4)[/tex]

This is the equation of the line in point-slope form.

Now we need to write it in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

We can actually get to slope-intercept form from point-slope form.

First, distribute 2 to both x and -4 on the right side

y-3=2x-8

Now add 3 to both sides

y=2x-5

Hope this helps!

Solve. 3x+2=17
Question 7 options:

x=2


x=5


x=8


x=4

Answers

Answer:

X = 5

Step-by-step explanation:

3x + 2 = 17

3x = 7-2

3x = 15

x = 5

Answer:

x=5

Step-by-step explanation:

3x+2=17

or,3x=17-2

or,3x=15

or,x=15/3

or,x=5

Consider parallelogram VWXY below.
Use the information given in the figure to find m∠YXV, m∠Y, and x.

Answers

Answer:

56°, 84°, 3 units

Step-by-step explanation:

Properties of a parallelogram

Two adjacent angles are supplementaryOpposite angles are congruentOpposite sides are parallel and congruent

Use the properties to find the required parameters

1) Find m∠YXV

m∠YXV + m∠VXW + m∠VWX = 180°m∠YXV + 40° + 84° = 180°m∠YXV = 180° - 124°m∠YXV = 56°

2) Find m∠Y

m∠Y = m∠W = 84°

3) Find x

2x = 6x = 6/2x = 3

Answer:

m∠YXV = 56°

m∠Y = 84°

x = 3

Step-by-step explanation:

Sum of interior angles of a triangle = 180°

⇒ m∠W + m∠WVX + m∠VXW = 180°

⇒ 84° + m∠WVX + 40° = 180°

⇒ m∠WVX = 56°

As VW ║ YX  and  YV ║ XW  then  m∠WVX = m∠YXV

So m∠YXV = 56°

In a parallelogram, opposite angles are congruent

⇒ m∠Y = m∠W

m∠Y = 84°

In a parallelogram, opposite sides lengths are congruent

⇒ VW = YX

⇒ 2x = 6

⇒ x = 6 ÷ 2

x = 3

Solve this on your own and find the unit rate of miles per hour.

Answers

150mi/5hr =30 mi/hr so the answer is 30 mi/hr

x² + 5x + 6
Factor each polynomial.

Answers

Sum = 5
Product = 6
Factors = 2,3
When we multiply 2 *3, we get 6 and when we add 2+3, we get 5
x^2 + 5x + 6 = x^2 + 3x + 2x + 6
= x(x + 3) + 2(x + 3)
= (x + 3) (x + 2)
(x+2)(x+3) is gonna be your answer

Determine the value of the angle.

Angle ADF=

Answers

Answer:

90 degree

Step-by-step explanation:

we can see that angle adf is a right angle which means it's value is 90 degree

In a class of 32 students 3/8 of the students walk to school. How many students in the class walk to school?

Answers

Answer:

9

Step-by-step explanation:

divide 32 by 3/8.

that is 1..3333

into a number that would be 9

What is the mean of 75,14,48,81,39,67,33,19

Answers

Answer:

47

Step-by-step explanation:

To find the mean, you sum all the numbers, then count the number of numbers you summed up (amount of numbers in the array which in this case is 8) and then divide the two. So you get

Σarray/arraysize = 75+14+48... / 8

Answer:

Mean = 47

Step-by-step explanation:

Given terms :

7514488139673319

The mean is equal to the sum of the terms divided by the number of terms.

Therefore, the mean is equal to :

75 + 14 + 48 + 81 + 39 + 67 + 33 + 19 / 8 [Take terms that add up to 100, makes it easier to calculate!]100 + 100 + 89 + 87 / 8200 + 176 / 8376/8Mean = 47

0.6 litres in the ratio 7:5

Answers

Can you Elaborate your question?

In a class of 10 students, what is the mean and standard deviation of the number with 20-20 vision in the class

Answers

The mean is 6 and the standard deviation is 6

Which statute generates statistical data that is generally cited to support findings.

Answers

The statute generates statistical data that is generally cited to support findings is the Truth in Lending Act.

What is statistical data?

It should be noted that a statistical data simply means factual information that are recorded for analysis purpose.

In this case, the statute generates statistical data that is generally cited to support findings is the Truth in Lending Act. It helps protect unfair credit billing and card practices.

Learn more about statistics on:

https://brainly.com/question/15525560

Calculate the perimeter of the figure

Answers

The answer is 46 because when you add all the numbers up you get 46

Answer:

76

Step-by-step explanation:

4+4+4+4+4+4+8+8+18+18 = 76


y=4x-1+
y = 3x +7

i don’t know how to do this and i need steps on how

Answers

Answer and working out are linked below, hope it helps //// y = 31, x = 8

It's not really a specific question, but can someone pleeeeease explain how to do constant of proportionalities from tables! I've watched the khan videos on it, but it's just not clicking for me. Please help!

Answers

Answer:

by looking in the copy and learning the tips or step how to do it

Answer:

For example, we could use y = price in dollars, x = gas in gallons, and a constant of proportionality k to represent the amount of money you have to pay at the gas station y = kx. In other words, the price you pay is in direct proportion to the gallons pumped.

Step-by-step explanation:

Hope this helped you understand it better

~Heaven~

h circles have the same center. What is the area of the shaded region?
d=19.6 mm
17.4 mm
Use 3.14 for ​. Write your answer as a whole number or a decimal rounded to the nearest hundredth.

Answers

Answer:

the answer is 725.71

Step-by-step explanation:

This is a picture of a cube and the net for the cube.
What is the surface area of the cube?

Answers

Answer:

6a²

Step-by-step explanation:

6×5² = 6×25 = 150cm²

thank you

Answer:

150 centimeters cubed

Step-by-step explanation:

[tex]6x2^2= 150[/tex]

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