The table below represents the function F. The equation that represents this function is

The Table Below Represents The Function F. The Equation That Represents This Function Is

Answers

Answer 1
Hello!

The answer is:

C. [tex]F(x)=2^{x}-1[/tex]

Why?

In order to find the correct option, we need to substitute/evaluate the given values of "x" into each function.

Substituting into the first equation, option A:

[tex]F(x)=3^{x} \\F(3)=3^{3}=27\\F(3)=3^{4}=81[/tex]

... and so.

We can see that the option A is not the correct option since the obtained values do not match with the given values.

Substituting into the second equation, option B:

[tex]F(x)=3x\\F(3)=3*3=9\\F(4)=3*4=12\\[/tex]

... and so.

We can see that the values obtained from the function do not match with the given values, so the option B is not correct.

Substituting into the third equation, option C:

[tex]F(x)=2^{x}-1\\F(3)=2^{3}-1=8-1=7\\F(4)=2^{4}-1=16-1=15\\F(5)=2^{5}-1=32-1=31\\F(7)=2^{7}-1=128-1=127\\F(8)=2^{8}-1=256-1=255\\[/tex]

So, since all the obtained values match with the given values, we can conclude that the correct option is the option C.

Have a nice day!

Answer 2

Answer:

The answer is c

Step-by-step explanation:


Related Questions

Suppose Cone A is similar to Cone B and the scale factor between the solids is 3:2, respectively. If the height of Cone A is 15 inches, determine the height of Cone B. 20 inches
15 inches
10 inches
5 inches

Answers

Answer:

[tex]10\ inches[/tex]

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

Let

x----> the height of cone B

using proportion

[tex]\frac{3}{2}=\frac{15}{x} \\ \\x=2*15/3\\ \\x=10\ in[/tex]

Kristin won 44 lollipops playing basketball at her school's game night. Later, she gave two to each of her friends. She only has 2 remaining. How many friends does she have?​

Answers

21 friends.



44 - 2x = 2, where x is the number of friends Kristin has.

Subtract 2 on each side.

42 - 2x = 0

Add 2x on each side.

42 = 2x

Divide by 2 on each side.

42 / 2 = x

21 = x

Kristin has 21 friends.



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8 4/7 - 3 2/7 what do you think it is

Answers

Answer:

5 2/7

Step-by-step explanation:

Answer:

5 2/7

Step-by-step explanation:

Subtract the fractions. 4/7 - 2/7 = 2/7.

Then, subtract 8 - 3 = 5.

The total is 5 2/7.

PLEASE HELP ME ASAP

What is the area of this trapezoid? Enter your answer in the box. units2 A rectangle with a length of 10 and a height of 9 has two right triangles on each side of it with short leg lengths of 7.

Answers

the area of the trapezoid is 64

90+31.5x2 = 153

153 units squared is the area of the trapezoid.

I appreciate anyone who helps me solve this math problem for Apex!

Answers

Answer:

Option C

Step-by-step explanation:

We can easily see the solution by realizing that the quadratic function

y = x^2 + 2 has a discontinuity at x =1 (white dot at the graph)

So, the solution must have

y = x^2 + 2  , x < 1

And the only option in which this applies is Option C.

Which number line represents the solution set for the inequality –x ≥ 4?




Answers

Answer:

I decided to draw it since you didnt provide a pic.....

so here:

Step-by-step explanation:

STEPS:

–x ≥ 4

÷-1       ÷-1

x ≤ -4

Final answer:

The solution set for the inequality -x ≥ 4 is x ≤ -4. On a number line, this is represented by a solid dot at -4 and a line extending to the left.

Explanation:

To find the number line that represents the solution set for the inequality
-u2061x
≥ 4, we first need to solve the inequality for x. By dividing each side of the inequality by -1 (and remembering to flip the inequality sign because we're dividing by a negative number), we get x
≤ -4. This means all numbers less than or equal to -4 are part of the solution set.

On a number line, this would be represented by a solid dot at -4 (to include -4 itself) and a line extending to the left to indicate all numbers less than -4 are included.

What is a real word example or use of surface area

Answers

A real life use of Surface area is when we need to figure out how much paint is needed to paint something. Paint can only cover so much surface area so we must figure out Surface area before it is painted.

Another example is in fashion when making clothes. You need to know the surface area of fabric so that there is enough cloth to fit a model and make a garment.

Answer:

Finding the area of a yard/centimeter.

Step-by-step explanation:

A house or let's say a building can be used as an example.

How to find the answer:

You would times length times width. (Up and bottom) Decimal or not, you would get your answer.

what is the area of the shaded area​

Answers

Answer:

160 cm^2

Step-by-step explanation:

The shaded area is the triangle with a base of 20 and a height of 16, I take it.

Area = 1/2 b* h

Area = 1/2 * 20 * 16

Area = 160 cm^2

Answer:

160 cm2

Step-by-step explanation:

I took this test. Hope this helps!

The product of 3 consecutive odd numbers is 2,145. Enter a simplified expression for finding the numbers. Let n be the first odd number.

Answers

Answer:

11, 13 and 15.

Step-by-step explanation:

Let's say that the odd number is "x". If x is for example 15, then the next ODD number would be 15+2=17 and the one after that would be 15+2+2=15+4=19.

Applying that here, we get:

Odd number* the next odd number*the next odd number=2145

x*(x+2)*(x+4)=2145

x*(x^2+4x+2x+8)=2145

x^3+6x^2+8x=2145

By solving the polynomial, you get x=11.

Which makes our three numbers: 11, 13 and 15.

11*13*15=2145. The answer checks.

Final answer:

To find the three consecutive odd numbers whose product is 2,145, set up and solve an equation for n, the first odd number. The solution is n = 11, so the three consecutive odd numbers are 11, 13, and 15.

Explanation:

To find the three consecutive odd numbers whose product is 2,145, we can set up an equation and solve for n, the first odd number:

Let n be the first odd number

Then, the next two consecutive odd numbers would be n + 2 and n + 4

We can write the equation as: n x (n + 2) x (n + 4) = 2,145

Expanding this equation, we have: n³ + 6n² + 8n - 2,145 = 0

By factoring or using a numerical method, we can find that n = 11

So, the three consecutive odd numbers are 11, 13, and 15.

Write the equation in y=mx+b form please????

Answers

ANSWER

[tex]y = - 2x - 5[/tex]

EXPLANATION

We can use any two points to determine the slope.

The line passes through;

(-3,1) and (-5,5).

The slope is given by

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

This implies that;

[tex]m = \frac{5 - 1}{ - 5 - - 3} [/tex]

[tex]m = \frac{4}{ - 2} = - 2[/tex]

We can now find the equation using the formula;

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

[tex]y - 1 = - 2(x + 3)[/tex]

Expand:

[tex]y = - 2x -6 + 1[/tex]

[tex]y = - 2x - 5[/tex]

Convert the mixed number 31/4 to a percent

Answers

Answer:

3 1/4 = 325%

or

31/4ths = 775%

whichever is your intended fraction

Step-by-step explanation:

What is this answer ?

Answers

Answer:

-6x^2+4x

Step-by-step explanation

Plug in values!!!!!

the rectangualr below will be reflected across the y-axis . What is the new coordinates of point X? ​

Answers

Answer:

(-5, 4)

Step-by-step explanation:

(x, y)

Reflection of a Point in x-axis: (-x, y)

Reflection of a Point in y-axis: (x, -y)

Reflection of a Point in origin: (-x, -y)

We have the point X(5, 4).

Therefore

the new coordinates of the point X in reflection across y-axis is (-5, 4).

Answer:

a.) (-5,4)

Step-by-step explanation:

(x, y)

Reflection of a Point in x-axis: (-x, y)

Reflection of a Point in y-axis: (x, -y)

Reflection of a Point in origin: (-x, -y)

We have the point X(5, 4).

Therefore

the new coordinates of the point X in reflection across y-axis is (-5, 4).

A supersonic jet was flying at a constant velocity starting 8,400 kilometers west of U.S. airspace. It
flew one-third of the way to US, airspace in 2 hours. What was the jet's velocity?
Write your answer as a whole number. blank
kilometers per hour to the east
Submit

Answers

9514 1404 393

Answer:

  1400 km/hour to the east

Step-by-step explanation:

We assume the jet is flying directly toward US airspace, so is flying east. The speed is ...

  speed = distance/time

  speed = ((8400 km)/3)/(2 h) = 1400 km/h

The jet's velocity is 1400 km per hour to the east.

Final answer:

The velocity of the supersonic jet traveling one-third of the way to U.S. airspace is 1400 km/h to the east, calculated by dividing the distance covered (2800 km) by the time taken (2 hours).

Explanation:

The supersonic jet's velocity can be determined by calculating the distance it flew and the time taken to cover that distance. The jet started 8400 km west of U.S. airspace and flew one-third of that distance, which is 2800 km (8400 km / 3). It took 2 hours for the jet to cover this distance. So, to find the velocity, we use the formula velocity = distance / time.

V = 2800 km / 2 hours = 1400 km/h to the east.

Which ordered pair is a solution of y = x + 4

(0,0)
(5,54)
(7,28)
(9,13)

PLEASE HELP!!!

Answers

Answer:

(9,13)

Step-by-step explanation:

A solution to an equation is a point (x,y) which makes the equation true.

y = x + 4

Substitute each point to determine if a solution.

(0,0) ----> 0 = 4 No

(5, 54) ----> 54 = 9 No

(7,28) -----> 28 = 11 No

(9,13) ----> 13 = 13 YES

Find the value of the x to the nearest tenth.

Answers

Answer:

10x = (5)(8)

10x = 40

x = 4

Step-by-step explanation:

plz answer them I really need help​

Answers

12 | 12
— — —
20 | 6



ab = 2 * 6 = 12

4b/2 = (4 * 6) / 2 = 24 / 2 = 12

a^3 + 2b = 2^3 + 2 * 6 = 8 + 2 * 6 = 8 + 12 = 20

b^2 / (4 + a) = 6^2 / (4 + 2) = 6^2 / 6 = 36 / 6 = 6



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Answer:

Step-by-step explanation:

Top left hand corner 6 x 2 = 12

Top right 4x6/2= 12

Bottom left 2 squared + 2x6 = 28

Bottom right 6 squared / (4 + 6 ) = 3.6

what is the difference between the longest and the shortest pencil​

Answers

Answeron:

Du plus gras au plus sec : 9b - 8b - 7b - 6b - 5b - 4b - 3b - 2b - B - HB - F - H - 2h - 3h - 4h - 5h - 6h - 7h - 8h - 9h

The correct option is D.

The difference between the longest and shortest pencils is **7 inches**.

The difference between the measurements of the longest and shortest pencils can be calculated based on the given data. Let's break it down:

1. **Line Plot 1**: The longest pencil measures **7 inches**, and the shortest pencil is **[tex]$2 \frac{1}{2}$[/tex] inches** long. The difference is:

  [tex]\[7 \text{ in} - 2 \frac{1}{2} \text{ in} = 4 \frac{1}{2} \text{ inches}\][/tex]

2. **Line Plot 2**: The longest pencil measures **7 inches**, and the shortest pencil is **[tex]$2 \frac{1}{4}$[/tex] inches** long. The difference is:

  [tex]\[7 \text{ in} - 2 \frac{1}{4} \text{ in} = 4 \frac{3}{4} \text{ inches}\][/tex]

3. **Line Plot 3**: The longest pencil measures **7 inches**, and the shortest pencil is **[tex]$2 \frac{3}{8}$[/tex] inches** long. The difference is:

  [tex]\[7 \text{ in} - 2 \frac{3}{8} \text{ in} = 4 \frac{5}{8} \text{ inches}\][/tex]

Therefore, the differences are as follows:

- Line Plot 1: **[tex]$4 \frac{1}{2}$[/tex] inches**

- Line Plot 2: **[tex]$4 \frac{3}{4}$[/tex] inches**

- Line Plot 3: **[tex]$4 \frac{5}{8}$[/tex] inches**

Based on this information, the correct answer is **D. 7 inches**.

The complete question is here:

What is the difference between the length of the longest pencil and the shortest pencil?

A. [tex]$1 \frac{1}{2}$[/tex] inches

B. 3 inches

C. [tex]$3 \frac{1}{2}$[/tex] inches

D. 7 inches

Please help, my teacher never explained how to do this!

Answers

Answer:

First, you have to calculate the angles.

3x-2 + 4x +2x -12  + 2x  + 3x + 10

14x -4 = 360

14x = 364

x = 26

So, the angles are:

3x -2 = 76

4x = 104

2x -12 = 40

2x = 52

3x + 10 = 88

Step-by-step explanation:

Joe has some money in his bank account he deposits $465. Write an expression that represents the amount of money in Joe's account

Answers

Answer:

Step-by-step explanation:

x--the amount of money Joe already has in his bank account.

the actual amount of money=x+465

Answer:

Step-by-step explanation:

the CORRECT ANSWER would be Y=X+45. This person almost had it right.hope this helps

rectangle ABCD is graphed in the coordinate plane. the following are the vertices of the rectangle: A(-6,-4) B(-4, -4), C(-4, -2), and D(-6,-2) what is the perimeter of rectangle ABCD

Answers

Answer:

qwssfgbbbnjhbgbbnnbnnnnnnnj

which functions are symmetric with respect to the y axis

Answers

Answer:

A, B, and D

Step-by-step explanation:

Only the functions that have x by itself between the absolute value signs (A, B, and D) are symmetric with respect to the y-axis .

Placing a constant outside the absolute value signs moves the function up or down the y-axis but retains the symmetry.

Adding a constant inside the absolute value signs (as in C and E) moves the axis of symmetry to the left or right of the y-axis.

In the diagram, both A and B are symmetric with respect to the y-axis, but C has been shifted three units to the left.

What is the surface area of the rectangular prism

Answers

Answer:

The answer is C.

Step-by-step explanation:

To solve this problem, first do the calculations (twice per equation | example below.

6 x 8 x 2 = 96

8 x 11 x 2 = 176

6 x 11 x 2 = 132

Then, add of your products together to find your answer (example below).

132 + 176 + 96 = 404

Therefore, C is the answer.

I don't understand this please explain step by step ​

Answers

Answer:

The answer is C.

Step-by-step explanation:

Think about it as substitution.

The equation given to you is 15n=10.

They are telling you that n is equal to 2/3.

So now, this is where you do the substitution.

1. Substitute 2/3 in for n.

  15(2/3)=10

2. Determine if true.

  15·2/3=10

3. Are they the same?

  10=10

So now you know your answer is C. :)

I NEED HELP PLEASE
The total income before any taxes is taken out is
called?
A budget
B sales tax
C net income
D gross income

Answers

Answer:

D) Gross Income

Your answer is D gross

income

Ryan’s collection is 3/6 football cards and 2/6 basketball cards. What part of Ryan’s card collection is not football or basketball cards?

Answers

Answer: A: 1/6

Step-by-step explanation:

3/6 + 2/6 = 5/6

1 - 5/6 = 1/6

Will mark brainliest
20 pionts
Show work

Answers

Answer:

Part A) The percentage increase was [tex]6.1\%[/tex]

Part B) Michael is financially better off this year than last year

Step-by-step explanation:

Part A)

we know that

Using proportion

Let

x-----> the percentage increase

[tex]\frac{100\%}{33,000}=\frac{x\%}{35,000-33,000}\\ \\x=2,000*100\%/33,000\\ \\x=6.1\%[/tex]

Part B) Compare the percentage increase with the inflation

[tex]6.1\%>5\%[/tex]

The percentage increase is greater than the inflation

therefore

Michael is financially better off this year than last year

A bag contains 4 red, 3 yellow, 3 blue, and 2 white marbles, for a total of 12 marbles. If Lucia randomly picks two marbles from the bag without putting the first marble back, what is the probability that the first marble is red and the second is white?

Answer choices:
A. 2/144
B. 3/144
C. 2/33
D. 2/12

Answers

Answer: 2/33 hoped this helped you

Step-by-step explanation:

The probability that Lucia picks a red marble first and a white marble second from the bag without replacement is

2 / 33, found by multiplying the individual probabilities of each event. Hence option C is correct.

The question asks about the probability that Lucia randomly picks a red marble first and a white marble second from a bag containing marbles of various colors, without replacement. To calculate this probability, we need to consider the total number of marbles and the number of favorable outcomes for both events happening consecutively.

With 4 red and 2 white marbles in the bag, the probability of picking a red marble first is

P(Red) = Number of red marbles / Total number of marbles

P(Red) = 4 / 12 = 1 / 3

After picking a red marble, there are 11 marbles left, including 2 white marbles. The probability of then picking a white marble is

P(White | Red) = Number of white marbles / Total number of marbles remaining

P(White | Red) = 2 / 11

The combined probability is then the product of the two individual probabilities:

P(Red and White) = P(Red) X P(White | Red)

P(Red and White) = (4 / 12) X (2 / 11)

P(Red and White) = 8 / 132 =  2 / 33.

Thus, the correct answer is 2 / 33, which corresponds to option C.

may somebody help me please ! please and thank you.

Answers

x^2 + 2x + 3 or A is the correct answer

if a chocolate pie is divided into six equal slice and each slice has 280 colories how many colories are in the whole pie

Answers

Hey there!

We know that each slice has 280 calories & we also know there are 6 equal pieces, so all we have to do is multiply 280 by 6 to find how many calories the entire pie is

280 * 6 = 1,680

Therefore, the whole pie has 1,680 calories

Hope this helps you!

God bless ❤️

xXxGolferGirlxXx

Answer:

nh,juk,

Step-by-step explanation:

hfjmdgbtjutrj

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