Mathematics High School

Given below is the odd-number function. Which of the following are equal to O(9)? Check all that apply.

O(n) = 2n - 1

A. The ninth odd number

B. O(8) + 2

C. 9

D. 17

Answers

Answer 1
The correct answers will be A. The ninth odd number. B.O(8) + 2 and D.17.

I did this too and those were the right answers!

I hope this helps! :>

Related Questions

A jet travels 500 miles in 2 hours. At this rate, how far could the jet fly in 8 hours? What is the rate of speed of the jet?

Answers

500 / 2 = 250 miles per hour ( rate of speed)

250 * 8 = 2,000 miles in 8 hours

A student has two test scores. the difference between the scores is 44 and the​ mean, or​ average, of the scores is 8484. what are the two test​ scores?

Answers

it is 22 above and 22 below, so the scores are 8462 and 8506

A balloon is released on top of a building. The graph shows the height of the balloon over time. What does the slope and y-intercept reveal about the situation?

Answers

The slope is (change in y)/(change in x). Taking (0, 0.5) and (10, 2) since the x axis is horizontal and the y axis vertical, we get the slope to be (2-0.5)/(10-0)=
1.5/10=3/20=0.15. Since it's based off of 1000 feet, we multiply 0.15 by 1000 to get 150 as the rate of change for every x value. In addition, since we start at 0.5, 1000*0.5=500 and we therefore start at 500 ft. Using the information we have, we therefore have C as our answer

Answer:

C. The balloon starts at a height of 500 ft  and rises at a rate of 150 ft.

Step-by-step explanation:

We have been given a graph which represents the height of the balloon over time.

We can see from our graph that y-intercept, which represents the height of the balloon (in thousand feet) at time equals zero, is 0.5. To find the correct y-intercept we will multiply 0.5 by 1000 as height of the balloon is given in thousand feet.

[tex]\text{y-intercept}=(0.5\times 1000)\text{ feet}=500\text{ feet}[/tex]

Therefore, y-intercept represents that the balloon starts at a height of 500 feet.  

Now let us find slope of our given line using slope formula.

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

[tex]y_2-y_1[/tex] is vertical change or rise.

[tex]x_2-x_1[/tex] is horizontal change or run.

Upon substituting given values in above formula we will get,

[tex]\text{Slope}=\frac{3.5-0.5}{20-0}[/tex]

[tex]\text{Slope}=\frac{3}{20}[/tex]

[tex]\text{Slope}=0.15[/tex]

Now let us multiply 0.15 by 1000 as height of balloon is given in thousand feet.

[tex]\text{Slope}=0.15\times 1000=150[/tex]

Therefore, slope of our line is 150 which means that height of balloon is increasing 150 feet per second or balloon is rising at a rate of 150 feet per second.

Upon looking at our given options we can see that option C is the correct choice.

E bisects DF, DE=2y, and EF=8y-3. Find DE, EF, and DF

Answers

The answers are
DF=2
EF=1
DE=1

Solve the following equation, answer as a reduced, mixed number.

4(7x - 1) = 3(2x + 1) - 4(x + 6)

Answers

first lets distribute! 

28x-4= 6x+3-4x-24 
then we combine like terms and move like terms to the different sided
28x-4=2x-21
26x=-17
x= -17/26 
:)

An air show is scheduled for an airport located on a coordinate system measured in miles. The air traffic controllers have closed the airspace, modeled by a quadratic equation, to non-air show traffic. The boundary of the closed airspace starts at the vertex at (10, 6) and passes through the point (12, 7). A commuter jet has filed a flight plan that takes it along a linear path from (–18, 14) to (16, –13). Which system of equations can be used to determine whether the commuter jet’s flight path intersects the closed airspace?

Answers

Answer:

third option

Step-by-step explanation:

I just got a 100

Answer:

C

Step-by-step explanation:

A single little brown bat can eat up to 1,000 mosquitoes in a single hour. Express in scientific notation how many mosquitoes a little brown bat might eat in 10.5 hours.

Answers

10,500 mosquitos because 1,000•10hr=10,000 then half of a thousand is 500 so it's that
The answer is 10,500, in scientific notation it is, 1.05 × 10/4, ok so the 4 that is beside the 10 needs to go on the top right side of it. I don't know how to do that on here, sorry.

I hope this helps!

What is the result of dividing x^3-4 by x+2

A. x^2-2x+4+12/x+12
B. x^2-2x+4+4/x+2
C. x^2-2x+4-4/x+2
D. x^2-2x+4-12/x+2

What is the result of dividing 2x^3+x^2-2x+8 by x+2

A. 2x^2+5x+8
B. 2x^2-3x+16
C. 2x^2-3x+4
D. 2x^2+5x-8

What is the remainder when the polynomial 6x^2+11x-3 is divided by 2x-1

Jorge wasnt to divide 3x^2-x-2 by x+4 using synthetic division. (has picture)
Which answer shows the correct process?

What is the remainder when the polynomial 6x^2+11x-3 is divided by x+2

Answers

Problem 1)

Write x^3-4 as 1x^3 + 0x^2 + 0x + (-4)x^0
The coefficients here are 1, 0, 0, and -4
note how the exponents step down one at a time (3, 2, 1, 0)

Write the coefficients 1, 0, 0, -4 in that order along a single row. Write the test root x = -2 in a box off to the left of the row of coefficients. See Figure1A (attached) to see how the set up is done so far.

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

Now we will follow the steps to perform synthetic division. The first step is to drop the first coefficient (which is 1) down below the horizontal line. This is shown by the letter A in red. See Figure1B (attached). 

We then multiply that dropped value (1) by the test root (-2) to get 1 times -2 = -2. This result of -2 is placed where you see the red letter B (Figure1B)

Now add straight down: 0 plus -2 = -2
The result -2 is placed just below the previous result. It is placed where you see the red letter C

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

Repeat these steps over and over until the bottom row is filled out. By that, I mean we have the bottom row terms line up with the right most value in the top row. See figure1C to have a look at what I mean. We stop once we get to -12 in the bottom row as there are no more terms to fill out.

The last term in the bottom row (-12) is the remainder. The other terms help construct the quotient.

In this case, the quotient is 1x^2 + (-2)x + 4x^0 which simplifies to x^2 - 2x + 4

The remainder is -12

Put this all together and we have the final answer of [tex]x^2 - 2x + 4 - \frac{12}{x+2}[/tex]

So the final answer is choice D

===================================================================================================

Problem 2)

Follow the same kind of steps shown in problem 1. This time we'll have the synthetic division table you see in the image Figure2 (attached)

The last value in the bottom row is the remainder. The remainder of 0 indicates (x+2) is a factor of 2x^3+x^2-2x+8

The quotient is the other values in the bottom row. The other values in that bottom row are (in order) 2, -3, 4 so the quotient is 2x^2 - 3x + 4 

This makes the final answer to be choice C

===================================================================================================

Problem 3)

We can use the remainder theorem and skip synthetic division

2x-1 = 0 leads to x = 1/2 = 0.5

Plug x = 0.5 into the function f(x) = 6x^2 + 11x - 3 to get

f(x) = 6x^2 + 11x - 3
f(0.5) = 6(0.5)^2 + 11(0.5) - 3
f(0.5) = 4

So the remainder is 4

Answer: 4

Side Note: if you wish to use synthetic division, then check out "Figure3" in the attachments

===================================================================================================

Problem 4)

The answer is choice with the bottom row of 3, -13, and -54. This looks to be choice C. The same steps are followed as done in problems 1 through 3. 

===================================================================================================

Problem 5)

Plug x = -2 into f(x) = 6x^2 + 11x - 3

f(x) = 6x^2 + 11x - 3
f(-2) = 6(-2)^2 + 11(-2) - 3
f(-2) = -1

Final Answer: -1

How do you write a piecewise function

Answers

you cannot write a piece wise function
Final answer:

To write a piecewise function, you need to define different equations for different intervals of the independent variable.

Explanation:

To write a piecewise function, you need to define different equations for different intervals of the independent variable. Each equation represents a different part or piece of the function. Here's an example:

f(x) =

2x + 1, if x ≤ 0x^2, if 0 < x ≤ 54 - x, if x > 5

In this function, the equation 2x + 1 is used for values of x that are less than or equal to 0, the equation x^2 is used for values of x between 0 and 5 (inclusive), and the equation 4 - x is used for values of x greater than 5.

Learn more about Piecewise Function here:

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Math Plzz HELP ASAP!!!!!!
(−213+515)+113

Answers

the answer is gonna be 415

The solution of (−213+515)+113 is 415

Add -213 and 515:

-213 + 515

= 302

Add 113 to the result:

302 + 113

= 415

So, the final answer is 415.

Question:

Solve: (−213+515)+113

What's the principal square root of 169

Answers

To find the square root of 169, you have to find a number that can be multiplied by itself in order to get the number 169 as the product. 13 * 13 or 13^2 will give you169. Also, when 2 negative numbers are multiplied together, you get a positive number.

The principal square root of 169 is 13.

The principal square root of a number is the non-negative square root.

The principal square root of 169 is the non-negative number that, when multiplied by itself, equals 169.

We are looking for a number such that when it is squared (multiplied by itself), it equals 169.

This can be expressed mathematically as:

x² = 169

The solution to this equation is

x = √169.

169 is a perfect square, and its square root is 13 because:

13 × 13 = 169.

Therefore, the principal square root of 169 is 13.

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a total weight of 110 kilograms. A delivery of 2 large boxes and 6 small boxes has a total weight of 74 kilograms. How much does each type of box weigh?

Answers

x = large boxes, y = small boxes

5x + 3y = 110 .....multiply by -2
2x + 6y = 74
------------------
-10x - 6y = - 220 (result of multiplying by -2)
2x + 6y = 74
-----------------add
-8x = - 146
x = -146/-8
x = 18.25 <== large box weighs 18.25 kg

2x + 6y = 74
2(18.25) + 6y = 74
36.50 + 6y = 74
6y = 74 - 36.50
6y = 37.50
y = 37.50/6
y = 6.25 <=== small box is 6.25 kg

What is the measure of <JHG?

The measure of <JHG is _____ degrees

Answers

70 degrees that's the answer right

The measure of ∠JHG is 70 degree.

What is an Angle?

An angle is formed by two rays called the arms of the angle meeting at a common endpoint called the vertex of the angle.

There are three types of angles, acute angle, right angle and obtuse angle.

Protractor is used to measure angles, it is of semicircular shape with degrees of angles engraved upon it.

Acute Angle : The angle whose measure is less than 90 degree is called the acute angle.

Right Angle : The angle whose measure is equal to 90 degree is called right angle.

Obtuse Angle: The angle whose measure is greater than 90 degree is called obtuse angle.

The ∠JHG has JH and HG are the arms of the angle.

The measure of ∠JHG = 70 degree, it is less than 90 degree, it is an acute angled triangle.

To know more about Angle

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A worker can assemble 3 shelf units each hour. the same worker can assemble 6 tv stands each hour. if x = hours assembling shelf units, y = hours assembling tv stands, and 24 = total number of furniture pieces made, write a function in standard form modeling the situation.

Answers

3x + 6y = 24 <=== ur equation

How many ounces of gold are in anan 18​-karat gold chain that weighs 2.7 ​ounces?

Answers

A karat is a measure of the amount of gold in the gold chain. The karat has a maximum value of 24 karats. This means that an 18 karat of gold chain contains 18 parts of pure gold for every 24 parts of gold chain. Therefore:

gold = (18 / 24) * 2.7 ounces

gold = 2.025 ounces

12x > 9(2x-3) -15
solve the inequality for x. show each step of the solution.

Answers

12x>18x-27-15
-6x>-42
x<7
12x > 9(2x - 3) - 15

12x > 18x - 27 -15  (distribute)

12x > 18x - 42 (simplify)

12x - 18x > 18x - 18x - 42 (subtract -18x from each side)

-6x/-6 > -42/-6 (divide, isolate the x)

x < 8 (answer, when you divide a negative, flip the sign)

hope this helps

Five cans of tomatoes cost $6.50. At this rate, how much will nine cans of tomatoes cost?

Answers

The cost of one can of tomatoes is $1.30, so nine cans at this rate would cost $11.70.

If five cans of tomatoes cost $6.50, to find the cost of nine cans, we first need to find the cost of one can of tomatoes. We do this by dividing the total cost by the number of cans.

Cost per can = Total cost / Number of cans

Cost per can = $6.50 / 5

Cost per can = $1.30

Now that we know how much one can costs, we can find out how much nine cans will cost by multiplying the cost per can by nine.

Total cost for nine cans = Cost per can × Number of cans

Total cost for nine cans = $1.30 × 9

Total cost for nine cans = $11.70

Therefore, nine cans of tomatoes will cost $11.70.

andre placed 7/8 gallon of water in a pot near his wood burning stove 1/5 gallon of water evaporates each hour how many hours would it take for the entire pot of water to evaporate

Answers

So here we just want to divide 7/8 by 1/5, to find how many 1/5, or hours, fit into 7/8.  

To divide, you just want to reverse the second fraction and then multiply.

1/5 reversed is 5/1.

7/8 * 5/1 = 35/8

35/8 converted to a mixed number would be 4 3/8.

So it would take 4 3/8 hours for the entire pot of water to evaporate.

A gumball machine has just been filled with 50 black, 150 white, 100 red, and 100 yellow gumballs that have been thoroughly mixed. sue and jim each purchase one gumball. what is the likelihood that both sue and jim will get red gumballs?

Answers

33/532 or approximately 6.2% that both Sue and Jim will get red gumballs. For the purpose of this problem, going to group the gumballs into 2 sets. Red and anything else. The number of non-red gumballs is 50 + 150 + 100 = 300 The number of red gumballs is 100. So what's the probability of 2 random picks both being a red gumball. For the 1st pick, it's a simple matter of 100/400 = 1/4. For the second pick it's slightly more complicated since there's now only 99 red gumballs. So it's 99/399 = 33/133 To get the combined probability, just multiply them together. 33/133 * 1/4 = 33/532 which is approximately 6.2%

Final answer:

To calculate the likelihood of both Sue and Jim getting red gumballs, we multiply the probability of each event occurring sequentially. After Sue gets a red gumball, the chances are 1/4, and then 99/399 for Jim. The final probability of both getting red gumballs is 99/1596 or about 6.203%.

Explanation:

The likelihood that both Sue and Jim will get red gumballs from the gumball machine can be calculated using basic probability principles. First, we need to determine the total number of gumballs in the machine. This is the sum of black, white, red, and yellow gumballs, which are 50, 150, 100, and 100 respectively, making a total of 400 gumballs.

The probability that Sue gets a red gumball is the number of red gumballs divided by the total number of gumballs in the machine, which is 100/400, simplifying to 1/4. When Sue takes a gumball, assuming she gets a red one, there are now 399 gumballs left with 99 being red. Therefore, the probability that Jim also gets a red gumball is 99/399. To find the likelihood of both events occurring, we multiply these probabilities:

P(Both Sue and Jim get red gumballs) = P(Sue gets a red gumball) × P(Jim gets a red gumball after Sue) = (1/4) × (99/399).

Now we simplify and multiply these fractions to get the final probability. After simplifying, the final probability is 99/1596, which is approximately 0.06203 or 6.203% chance that both Sue and Jim will get red gumballs.

Simply the product -7x/5y * 5x/-7

Answers

-7x/5y * 5x/-7
= x^2/y

(-) times(-) = positive
and canceled out 7, 5 
so answer is
x^2/y
We are asked to simplify the expression [tex] \frac{-7x}{5y} \cdot \frac{5x}{-7} [/tex], 

what we do is, we form a single fraction where the numerator is the product of the numerators, and the denominator is the product of the denominators, that is:

[tex] \frac{-7x}{5y} \cdot \frac{5x}{-7}= \frac{-7\cdot5 \cdot x \cdot x}{5 \cdot(-7) \cdot y} [/tex]

simplify the common numbers and terms in the numerator and denominator:

[tex]\frac{-7\cdot5 \cdot x \cdot x}{5 \cdot(-7) \cdot y}=\frac{5 \cdot x \cdot x}{5 \cdot y}=\frac{x \cdot x}{y}= \frac{ x^{2} }{y} [/tex]


Answer: [tex]\frac{ x^{2} }{y} [/tex]

Jim and Sarah are running for class president. Cayla and Daniel are running for Vice President. What combinations of president and Vice President could there be?

Answers

Jim and Sarah are running for a president and Cayla and Daniel are running for a vice president.Combinations are:Jim (P) - Cayla (VP)Jim (P) - Daniel (VP)Sarah (P) - Cayla (VP)Sarah (P) - Daniel (VP)In total: 4 combinations.


ann took a taxi home from the airport. the taxi fare was $2.10 per mile and she gave the driver a $5 tip. Ann paid a total of $49.10. What is an equation to determine the distance in miles from Anns home to the airport?

Answers

First, lets subtract the tip because that is not included with the amount of miles. Then, we need to divide the difference by 2.10 to find the amount of miles:

(49.1/5)/2.1 = amount of miles it takes to reach Ann's home

Hope this helps!

.help me please thanks

Answers

The answer is would be C) 18.

What is the distance in km between two cites that are 7.5 cm apart on a 1:24 000 scale

Answers

The scale 1:24000 means that 1 unit on the map represents 24000 of that unit on the ground.

7.5 cm on the map represents 7.5 x 24000 = 180000 cm on the ground.

180000 cm = 1800 m (dividing by 100 cm per m)
1800 m = 1.8 km (dividing by 1000 m per km)

Those "cities" are really close together!

The answer to this question

Answers

Angle T and Angle R are vertical angles, which means they are congruent (equal in measurement)

Use substitution to go from
Angle T = Angle R
to
3x+36 = 6x-9

Now let's solve for x
3x+36 = 6x-9
3x+36-3x = 6x-9-3x
36 = 3x-9
36+9 = 3x-9+9
45 = 3x
3x = 45
3x/3 = 45/3
x = 15

Since x = 15, we can say,
Angle T = 3x+36
Angle T = 3*x+36
Angle T = 3*15+36 ... x is replaced with 15 (since x = 15; found above)
Angle T = 45+36
Angle T = 81

The final answer is 81 degrees

A bag contains eight green marbles and four blue marbles. what is the probability of drawing a green marble on the second draw?

Answers

2/3 probability of drawing a green marble on the second draw. If the marbles are replaced after each draw, the probability will always be 2/3 of a green marble being drawn. But for this problem, going to assume that the marbles are not replaced after each draw. So we have 2 possible scenarios. 1. The first marble drawn is green This even happens with probability of 2/3 and leaves you with 7 green marbles and 4 blue marbles. So the probability of picking a green marble again is 7/11. 2. The first marble drawn is blue This event happens with probability of 1/3 and leaves you with 8 green marbles and 3 blue marbles. So the probability of picking a green marble this time is 8/11 The total probability of picking a green marble on the 2nd pick is the sum of the product of each probability. So 2/3 * 7/11 + 1/3 * 8/11 = 14/33 + 8/33 = 22/33 = 2/3

Find the distance between the points 6 + 5i and 1 – 2i.

Answers

hello : 
 let  : z = 6+5i        z' = 1-2i 
 the distance between the points 6 + 5i and 1 – 2i is : |z - z' |
 |z - z' | = |6+5i -1+2i| = |5+7i | =√(5²+7²) =√74

Answer:

Approximately 8.6

Step-by-step explanation:

To solve the literal equation 5x = 7t + 6, what is the first step that you must do?
Can anyone help me?

Answers

Under the assumption that the equation is looking to be solved in "t," the first step toward isolating the "t" variable would be to subtract 6 from both sides. This would leave 5x-6 = 7t, and is one step closer to isolating the "t." Dividing by 7 would be the second step, giving (5x-6)/7 = t.

What is the r (common ratio) for the geometric sequence: -3, -15, -75, -375, -1875...

Answers

The common ratio is the multiplicity of 5

hope this helps

3 x 5 = 15
15 x 5 = 75
75 x 5 = 375
etc

There is a box full of toys. There are four Lego sets, six video games, and five remote control cars. You randomly choose a toy. Find the probability of choosing a remote control car. A. 1/7 B. 7/24 C. 1/3 D. 11/24

Answers

Salutations!

There is a box full of toys. There are four Lego sets, six video games, and five remote control cars. You randomly choose a toy. Find the probability of choosing a remote control car.

Probability means occurrence of chance.

Step 1) Add all the toys

[tex]4+6++5=15[/tex]

There are 5 control cars

[tex]5/15[/tex]

The simplified form would be [tex]1/3[/tex]

Thus, your answer is option C.

Hope I helped (:

Have a great day!
Final answer:

The probability of choosing a remote control car from the box is 1/3, which is calculated by dividing the number of remote control cars (5) by the total number of toys (15).

Explanation:

To find the probability of choosing a control car from the box, we use the formula for probability, which is:

Probability = Number of favorable outcomes / Total number of possible outcomes

The number of favorable outcomes is the quantity of remote control cars which is 5. The total number of toys is the sum of all the toys, which are 4 Lego sets + 6 video games + 5 remote control cars = 15 toys in total.

The probability is therefore calculated as:

Probability of choosing a remote control car = 5 (number of remote control cars) / 15 (total number of toys) = 1/3

Hence, the correct answer is C. 1/3.

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