Answer:
13). -2x³ + x² + 1 14). x + 10y - 10z 15). -2x³ + x² + 1
Step-by-step explanation:
13). (x³ - x² + 4) - (3x³ - 2x² + 3)
= x³ - x² + 4 - 3x³ + 2x² - 3
= x³ - 3x³ - x² + 2x² - 3 + 4
= -2x³ + x² + 1
14). (3x + 4y - 3z) - (2x - 6y + 7z)
= 3x + 4y - 3z - 2x + 6y - 7z
= 3x - 2x + 4y + 6y - 3x - 7z
= x + 10y - 10z
15). (x³ - x² + 4) - (3x³ - 2x² + 3)
= x³ - x² + 4 - 3x³ + 2x² - 3
= x³ - 3x³ - x² + 2x² + 4 - 3
= -2x³ + x² + 1
five times the difference of a number and three is the same as three increased by five times the number plus 3 times the number
Question 6 (1 point)
(06.02 MC)
What is the perimeter, P. of a rectangle that has a length of x + 5 and a width of y- 12
O a
P = 2x + 2y + 8
Ob
P = 2x + 2y - 8
Ос
P = x+y+4
Od
P = x+y+6
What are ratios that are equivalent to 2:8
The price of an item has been reduced by 95%. The original price was $75.
Use the ALEKS calculator to find the price of the item now.
How many solutions will this equation have? y = 2x^2 + 7x - 15
A jet was at a cruising altitude, then descended 3,500 feet. If the airplane is at 24,700 feet now, what was the cruising altitude?
Answer:
28200
24700+3500=28200.
The plane was at 28200 feet then it desended 3500 feet then it was at 24700 feet.
Suppose a population has a doubling time of 20 years. By what factor will it grow in 40 years?
The factor by which the population will grow in 40 years is 4.
The doubling time of a population is the amount of time it takes for the population to double. In this case, the population has a doubling time of 20 years. This means that if the population is P0 now, then in 20 years, the population will be 2P0. After 40 years, the population will double again and will be 4P0. This is because the population doubles every 20 years.
Therefore, in 40 years, the population will double twice. The factor by which the population will grow is the final population divided by the initial population. The initial population is P0 and the final population is 4P0. Therefore, the factor by which the population will grow in 40 years is 4.
The doubling time is the amount of time it takes for the population to double. If a population has a doubling time of 20 years, this means that the population will double every 20 years. If the population is P0 now, in 20 years it will be 2P0, and in 40 years it will be 4P0.
The factor by which the population will grow is the final population divided by the initial population. Therefore, if the initial population is P0 and the final population is 4P0, then the factor by which the population will grow in 40 years is 4.
If a population has a doubling time of 20 years, then it will double every 20 years. After 40 years, the population will double twice, and will be 4 times the initial population.
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1/4log81 - 1/2log9 = x
Answer:
Step-by-step explanation:
x=0
10) 113 = x - 3(6x + 2)
Answer:
x = -7
Step-by-step explanation:
First, you must distribute the -3 to the numbers in the parenthesis. You will get -18x - 6. the problem is now 113 = x - 18x - 6. With inverse operations this will become 119 = -17x. Divide 119 by -17 and you will get -7. x = -7.
Answer:
x = -7
Step-by-step explanation:
113 = x - 3(6x + 2)
113 = x - 18x - 6
x - 18x = 113 + 6
-17x = 119
x = -7
I hope this helped!
A health club membership requires a one-time initiation fee and a monthly charge. For 2 months it is $100 and for 6 months it is $200. Find the monthly charge and the initiation fee.
Answer:
Initiation fee= $50
Monthly charge= $25
Step-by-step explanation:
Giving the following information:
For 2 months it is $100 and for 6 months it is $200.
To calculate the fixed cost (initiation fee) and the variable cost per month, we will use the high-low method:
Variable cost per unit= (Highest activity cost - Lowest activity cost)/ (Highest activity units - Lowest activity units)
Variable cost per unit= (200 - 100) / (6 - 2)
Variable cost per unit= $25
Fixed costs= Highest activity cost - (Variable cost per unit * HAU)
Fixed costs= 200 - (25*6)
Fixed costs= $50
Fixed costs= LAC - (Variable cost per unit* LAU)
Fixed costs= 100 - (25*2)
Fixed costs= $50
Initiation fee= $50
Monthly charge= $25
inside the box of every cereal box contains a surprise gift. the store manager assures employees that 11 of the 59 boxes on the shelf have a secret decoder ring and inside the other 48 boxes on the shelf contain a different gift. if two cereal boxes are randomly selected from the shelf to purchase, what is the probability that both of them have the secret decoder ring? (give answer as a decimal correct to least three decimal places.)
Probability that both of them have the secret decoder ring is 0.032
Probability is a way to gauge how likely something is to happen. Several things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.
11 of the 59 boxes on the shelf have a secret decoder ring
48 boxes on the shelf contain a different gift
two cereal boxes are randomly selected from the shelf to purchase
the probability that 1st have the secret decoder ring = 11/59
the probability that 2nd have the secret decoder ring = 10/58
probability that both of them have the secret decoder ring.
(11/59)*10/58 =0.032
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In sailing, it is not possible to head straight into the wind. In order to get upwind, a sailboat simply sails at an angle to the wind and then turns to sail back toward where it wants to go. Assume that a boat needs to get directly upwind 6000 m. If it sails off at a 45 degree angle to the wind and then turns back 90 degrees towards the original goal, how far would it have to sail to get directly upwind 6000 meters? Round to the nearest tenth.
Distance to get directly upwind 6000 meters: ____________________ meters
6000
4242.6
8485.3
10392.3
Answer:
C. 8485.3 meters
Step-by-step explanation:
Think of the sailboat’s path as a 45-45-90 right triangle.
The hypotenuse is the 6000 meter distance.
In this way the leg will be the hypotenuse divided by √2.
So 6000/√2 or 4242.64 meters.
Remember that the sailboat has to turn and head back toward its goal and travel another 4242.64 meters.
Thus, your answer is 4242.64 x 2 = 8485.28 meters or 8485.3 meters.
In this exercise we have to use the knowledge of triangles to calculate the distance that one of the sides has:
Letter C
Some information given in the statement about the triangle:
Sailboat’s path as a 45-45-90 right triangle.The hypotenuse is the 6000 meter distance.So performing the calculation we have:
\(6000\sqrt{2}=4242.64 \\4242.64 * 2 = 8485.28\)
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Given an integer representing a 10-digit phone number, output the area code, prefix, and line number using the format (800) 555-1212.
Here we have a program written in C++ language. Each // symbol is a relative comment explaining the reason for each command line (and is not included during the program execution).
The Program:
#include <iostream>
//c++ build in library
using namespace std;
//main code body starts here
int main()
{
//declare variable to store phone numbers,its area code, prefix and line number.
long pnumber; //declare long variable
int ac, prefix, lnumber;
//declare integer variables, where ac: Area Code and lnumber is the Line Number
cout<<"Enter a 10-digit Phone Number: "<<endl;
//cout command prints on screen the desired message
cin>>pnumber;
//cin command enables the user to interact with the programm and enter information manually
//main body to obtain the desired output starts below
//each 'division' is used to allocate the correct value at the correct
//since prefix is used to get the desired output of ( ) -
ac = pnumber/10000000;
prefix = (pnumber/10000)%1000;
lnumber = pnumber%10000;
//main body ends here
cout<<"Based on your 10-digit number"<<endl;
cout<<"below you have (AreaCode), Prefix, and - line number "<<endl;
cout<<"("<<ac<<")"<<""<<prefix<<"-"<<lnumber<<endl;
//Prints on screen the desired output of the long 10 digit Number
return 0; //ends program
}
-------------------------------------------------------------------------------------------------------
The Output Sample:
Enter a 10-digit Phone Number:
8019004673
Based on your 10-digit number
below you have (Area Code), Prefix, and - line number
(801) 900-4673
....Programm finished with exit code 0
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What is the product of 10 numbers?.
Product of first 10 natural numbers is 3628800.
What is natural numbers?
In arithmetic, the natural numbers are those numbers used for enumeration and ordering. Numbers used for enumeration are referred to as cardinal numbers, and numbers used for ordering are referred to as ordinal numbers
Main body:
The first ten natural numbers are 1,2,3,4,5,6,7,8,9,10.
The product is the multiple all numbers.
Product of first 10 natural numbers is given by,
P = 1*2*3*4*5*6*7*8*9*10
P =3628800.
Therefore, Product of first 10 natural numbers is 3628800.
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TV repairmen charge 35 dollars for a house call and then 15 per hour what would be the charge after 4 and a half hours?
Answer:
$102.50
Step-by-step explanation:
The formula here would be x=35+15y, y being the number of hours he was there.
So 35+15(4.5)=102.5, or $102.50.
Answer:
$102.50
Step-by-step explanation:
35 + 15+15+15+15=95 then you break 15 into two comes out 7.50 which then makes your total $102.50
Round the decimal 7.16 ?
Answer:
7(nearest whole number)
7.2(1 decimal place)
PLEASE HURRY AND ANSWER ASAP FOR BRAINLIEST AND POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!! PLEASE ANSWER MY OTHER QUESTIONS TOO BECAUSE I ALWAYS GIVE THE RIGHT ANSWER A BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!
The function f(x) represents the number of texts sent this week, and g(x) represents the number of texts sent last week. Given f(x) = 6x + 8 and g(x) = 2x − 9, find (f − g)(x) to find how many more texts were sent this week than last week.
(f − g)(x) = 4x − 1
(f − g)(x) = 8x − 1
(f − g)(x) = 4x + 17
(f − g)(x) = 8x + 17
Answer:
(f − g)(x) = 4x + 17
Step-by-step explanation:
find (f − g)(x) = f(x) - g(x)
f(x) = 6x + 8 and g(x) = 2x − 9
6x + 8 - (2x − 9)
multiply the -1 to 2x − 9
6x + 8 - 2x + 9
Combine like terms
4x + 17
Answer: choice C
Step-by-step explanation:
Took exam on FLVS
there are x boys playing in the park. the number of girls playing in the park is equal to the square root of the number of boys. if the total number of boys and girls playing in the park is 42 find the number of boys
Answer:
36 boys
Step-by-step explanation:
36+6= 42
Twelve decreased by 8 times a number is 36. Find the number.
need help with this asap!! thank you
Answer:
12 1/4
Step-by-step explanation:
2in
3.5in
1.75in
equals:
12.25 or 12 1/4
Tables (2)
Students (y)
In a classroom, the students are set up in the
arrangement shown in the table.
How many students are sitting at the 4 tables?
4
?
7
35
Answer:
20 is the answer hope it helps
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
just took the test
0.5% of what number is 5?
Richard and Gloria ran a 10-kilometer race. Gloria gave Richard a head start by letting him begin 2.2 kilometers in front of the start line. The distances of Richard and Gloria past the start line as the race progressed can be represented by linear functions and are shown in the table of values and graph below. Whose time was faster, and by how much?
Richard’s Distance Past the Start Line
Time (minutes)
5
10
15
20
25
Distance (kilometers)
2.8
3.4
4.0
4.6
5.2
9
12
y
3
7
11
15
19
Using the information given in both table and graph, Gloria's time is faster by 2.5 minutes
Richard :
Average speed = (5.2 - 4.6) / (25 - 20) = 0.12 km/min
Time taken = distance/ speed
Richard's distance to be covered = 10-2.2 = 7.8km
Hence,
Time taken = 7.8/0.12 = 65 minutesGloria's average speed :
Average speed = (4 - 3.2)/(25 - 20) = 0.16 km/hr
Gloria's distance to be covered = 10km
Hence,
Time taken = 10/0.16 = 62.5Time difference = 65 - 62.5 = 2.5 minutes
Therefore, Gloria's time is faster by 2.5 minutes.
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Mason bought 16 tickets to a baseball game. The group rate saved him $5.75 per ticket. He paid a total of $296.00 for the tickets. What was the regular price of a ticket to the game
The regular price of a ticket to the game was $204.00.
We can use algebra to solve the problem. Let x be the regular price of a ticket to the game.
We know that the group rate saved Mason $5.75 per ticket, so the regular price of a ticket is x + $5.75.
We know that Mason bought 16 tickets and paid a total of $296.00, so we can set up the following equation:
x + $5.75 = (x + $5.75) * 16 = 16x + $92
So the regular price of a ticket is x = $296.00 - $92 = $204.00
Therefore, the regular price of a ticket to the game was $204.00.
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Find the length of the hypotenuse of the triangle.
Answer:
The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.
Step-by-step explanation:
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A company rents motorcycles. Customer are charged a fixed amount plus a rate based on the number of miles the motorcycle is ridden. The company u es the function shown below to determine the total charges, in dollars,
for the customer.
f(x)=25+0.35x
of each part of the function is correct in the terms of the context
Select Yes or No to indicate if the meani
above.
Answer:
1. No
2. Yes
3. No
4. Yes
Step-by-step explanation:
x is equal to the number of miles, so it can't be the amount in dollars.
25 is the fixed amount because it does not change in the equation.
0.35 is not the fixed amount because it changes based on x.
f(x) is the total amount because that's what the equation is equal to.
Consider the following 8 numbers, where one labelled x
is unknown. 40,32,17,x,21,50,20,25
Given that the range of the numbers is 69, work out 2 values of
x
Step-by-step explanation:
The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.
we see that the visible 7 numbers have a range of 50-17 = 33.
that means that x has to make sure that the range really is 69.
so, we have indeed 2 choices : x can be the lowest value (with a difference of 69 to the highest value, 50), or x can be the highest value (with a difference of 69 to the lowest value, 17).
x as the lowest value :
x = 50 - 69 = -19
x as the highest value :
x = 17 + 69 = 86
Aniyah studied for 1 14
hours yesterday and for
34 hours today. How
long did she study over
the past 2 days?
Answer:
35 hours and 15 minutes
Step-by-step explanation:
1 1/14 + 34 = 35 1/4
1/4 = 15/60
35 hours and 15 minutes
The function r
2
g(x) = 5x
Even
Odd
Neither
O Even
O Odd
ONeither
The function s
3
h (x) = 5x² - 6x²³
O Even
O Odd
O Neither
O Even
O Odd
ONeither
The g(x) function is an odd function and h(x) is neither odd nor even.
What are odd and even functions?
Odd function - The function that changes it's value to negation of given function after putting (-)variable.
i.e. f(-x) = -f(x)
Even function - The function that doesn't changes it's value to negation of given function after putting (-)variable.
i.e. f(-x) = f(x)
In given functions:
g(x)=5x
then, g(-x)= 5(-x)
= -5x
= -g(x)
So, g(x) is an odd function.
h(x)=5x^2- 6x^23
then, h(-x) = 5(-x)^2 - 6(-x)^23
= 5x^2 + 6x^23
As, it's neither equal to h(x) nor h(-x).
Hence, find the right answer.
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Please Help Me Please
Step-by-step explanation:
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