Answer:
False
Step-by-step explanation:
Here is a counter example:
● f(x) = x^2
● g(x) = 3x
● (f○g)(x) = (3x)^2 = 9x^2 (1)
● (g○f)(x) = 3(x^2) = 3x^2 (2)
We can see that (1) and (2) aren't equal to each others.
The given statement is False
The following information should be considered:
[tex]f(x) = x^2\\\\g(x) = 3x\\\\(fog)(x) = (3x)^2 = 9x^2 (1)\\\\(gof)(x) = 3(x^2) = 3x^2 (2)[/tex]
based on the above calculations we can see that equation (1) and equation (2) are not equal to each other.
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In city A, the temperature rises 9° F from 8am then the temperature drops 8°F from 9am to 10am in city B the temperature drops 1°F from 8am to 9am then the temperature drops 3°F from 9am to 10am write an expression that represents the change In temperature from 8am to 10am for each city. Simplify and interpret each sum. Which expression represents the change in temperature for city A?
Answer:
For City A, the expression for temperature change is 9 + (-8)
The amount the temperature changes for City A = 1°F
For City B, the expression for temperature change is -1 + (-3) = -4°F
The amount the temperature changes for City B = -4°F
Step-by-step explanation:
The given information are;
In City A, the temperature rise from 8 am to 9 am = 9°F
In City A, the temperature drop from 9 am to 10 am = 8°F
In City B, the temperature drop from 8 am to 9 am = 1°F
In City B, the temperature drop from 9 am to 10 am = 3°F
The expression for that represents the temperature change from 8 am to 10 am is therefore;
For City A
Temperature change from 8 am to 10 am are
8 am to 9 am = +9°F
9 am to 10 am = -8°F
Sum, change from 8 am to 10 am = 9 + (-8) = 1°F
For City B
Temperature change from 8 am to 10 am are
8 am to 9 am = -1°F
9 am to 10 am = -3°F
Sum, change from 8 am to 10 am = -1 + (-3) = -4°F
Is 5.231 rational or irrational
Answer:
Rational
Step-by-step explanation:
A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p, and a non-zero denominator q.
Hope This Helps :)
Got another question for you guys! What is 12.5 x 4.2?
Answer:
52.5
Step-by-step explanation:
Pls help I never did this before
Answer:
16 and 64
Step-by-step explanation:
When you sqaure root 16, you get 4
When you cube root 64, you get 4
Answer:
[tex]\sqrt{16}[/tex] and [tex]\sqrt[3]{64}[/tex]
Step-by-step explanation:
let me know if u need this explained
The statement “1cm represents 2m” is the scale of the drawing. It can also be expressed as “1cm to 2m” or “1cm for every 2m.” What do you think the scale tells us?
Answer:
A scale is a way to resize drawings or figures to make them fit into a particular size.
Step-by-step explanation:
In 2D drawing or diagrams, a scale factor greater than 1 enlarges the object, while a scale factor between 0 and 1 shrinks the objects, also using a scale factor of 1 changes nothing or leaves the drawing the way it is.
Furthermore, scales are represented in ratio form 1:2, telling us that say 1cm in the virtual environment or paper represents 2km in reality
Find the absolute value |6|
Answer:
6
Step-by-step explanation:
Absolute value is the distance from 0, 6 is 6 units from 0
Please Help me with this Problem
Answer:
D
Step-by-step explanation:
When y = 0 then we are on the x- axis thus x = - 2 and x = 3 are zeros
The corresponding factors are (x + 2) and (x - 3)
The corresponding equation is the product of the factors, that is
y = (x + 2)(x - 3) ← expand using FOIL
y = x² - x - 6 → D
a polynomial of degree 4 in y has at most
A: 4terms
B: 3terms
C: 5 terms
D: 8 terms
Answer:
C.
Step-by-step explanation:
The highest term must be of x^4, then decreasing to x^3, x^2, x and the constant term.
Altogether there are at maximum 5 terms.
A polynomial of degree 4 in y has at most 5 terms, the correct option is C.
What is a Polynomial of degree 4 ?A polynomial is an expression of variables and mathematical operators.
The polynomial in degree 4 can be written as
ay⁴ +by³ +cy² +dy +e
The polynomial of degree 4 can have 5 terms, 4 in decreasing power of y and a constant.
To know more about Polynomial
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Choose the best description of the ratio:
220 seventh grade students
630 middle school students
is a
DRAG & DROP THE ANSWER
<
part-to-part ratio
part-to-whole ratio
rate
unit rate
4(3x-1)=9-x
Thank you !
Step-by-step explanation:
4(3x-1)=9-x
12x-4=9-x
12x+x=9+4
13x=13
x=13/13
x=1
Jamal borrowed 4000 to buy a used car he borrowed some of the money from a bank that charged 9.2% simple interest and the rest from a friend who charged 12% simple interest. If the total interest for a one year loan was 424.00 how much did jamal borrow at each rate
Answer:
2000 ; 2000
Step-by-step explanation:
Given the following :
Total amount borrowed = 4000
Total interést paid = 424
Simple interést = (principal * rate * time)
Rate 1 = 9.2% = 0.092
Rate 2 = 12% = 0.12
Let amount borrowed at 9.2% = x
Amount borrowed at 12% = y
x + y = 4000 - - - - (1)
x * 0.092 + y * 0.12 = 424
0.092x + 0.12y = 424 - - - - (2)
from (1):
x = 4000 - y
0.092(4000 - y) + 0.12y = 424
368 - 0.092y + 0.12y = 424
368 + 0.028y = 424
0.028y = 424 - 368
0.028y = 56
y = 56/0.028
y = 2000
x + y = 4000
x = 4000 - 2000
x = 2000
Answer the question please for me!!!
Answer:
4
Step-by-step explanation:
The 5 staring members of the basketball team are lining up for a picture.How many different ways can the players be lined up for the picture?
Answer:
120 different waysStep-by-step explanation:
If 5 staring members of the basketball team are lining up for a picture, the number of different ways the players can be lined up is expressed as 5!.
5! = 5*4*3*2*1
5! = 20 * 6
5! = 120
Hence the number of different ways that the players can be lined up for the picture is 120 different ways
Seela rented a raft from River Rafter's Inc. She paid $100
to rent the raft and $25 for each hour. Martin rented a
raft from Oscar's Outdoor Shop. He paid $50 to rent the
raft and $35 per hour. For what number of hours will
both rafting companies charge the same amount?
Answer:
she paid $125 while he paid $85
Step-by-step explanation:
Solve for x 5x - 5 = 5
Polynomial equation solver
5x - 5 = 5
Standard form:
5x − 10 = 0
Factorization:
5(x − 2) = 0
Solutions:
x = 10
5
= 2
The floors in an apartment building belong to different ____.
a.
rays
b.
segments
c.
planes
d.
points
Answer:
B. Segments
Step-by-step explanation:
"...divide (something) into separate parts or sections."
Definition of Segment
Hope it helps! :3
Answer: it would have been segment or planes Im not 100% sure
What is this? k/8-5≥-6
Answer:
k≥-8
Step-by-step explanation:
What is (5x10 + 24÷12)
Answer:52
Step-by-step explanation
Answer:
Hey!
Your answer is 52
Step-by-step explanation:
5 x 10 = 50
24 ÷ 12 = 2
Because they are in the same brackets, you do the calculations simultaneously!
50 + 2 = 52
HOPE THIS HELPS!
what is the reciprocal of -5.2/2.5 ?
need an answer fast please
Answer:
− 0.48076923
Step-by-step explanation:
Números multiplicados que den 10?
The numbers that multiply to give 10 are -
2 x 5
5 x 2
2.5 x 4
What is multiplication?Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division.In math, multiply means the repeated addition of groups of equal sizes.Given is two multiply two numbers to give 10.
The numbers that multiply to give 10, we get -
2 x 5 = 10
5 x 2 = 10
2.5 x 4 = 10
Therefore, the numbers that multiply to give 10 are -
2 x 5
5 x 2
2.5 x 4
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{Question in english is given below -
Multiplied numbers that give 10}
Adela, Tony, Pang, and Ruben are all in 6th grade. Their average age is 11 years old. The list shows the difference from average for each.
Age Difference
Adela: 0.75 year
Tony: 11
10
years
Pang: –0.8 year
Ruben: -1
2
year
Which lists shows the values of the differences ordered from least to greatest?
Adela, Tony, Pang, Ruben
Adela, Pang, Ruben, Tony
Pang, Ruben, Adela, Tony
Tony, Adela, Ruben, Pang
Answer:
Pang, Ruben, Adela, and Tony is the correct answer.
Step-by-step explanation:
I got it right on edge2021
The order of differences ordered from least to greatest
Pang, Ruben, Adela, Tony.
What is Ascending Order?The arranging of numbers from least to largest is known as ascending order. For instance, the digits 3, 15, 28, and 49 are listed in ascending order.
Given:
Age Difference
Adela: 0.75 year
Tony: 1 1/10 years = 11/10= 1.1 year
Pang: –0.8 year
Ruben: -1 / 2 year = -0.5 year.
So, the differences ordered from least to greatest
-0.8 < -0.5 < 0.75 < 1.1
Hence, Pang, Ruben, Adela, Tony.
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A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock, the length of the rope form the boat to the dock is 3 feet longer than twice the height of the dock above the water. Find the height of the dock.
Given :
A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock, the length of the rope form the boat to the dock is 3 feet longer than twice the height of the dock above the water.
To Find :
The height of the dock.
Solution :
This will make a right angle triangle as given in link below .
Now , applying Pythagoras theorem :
[tex](2h+3)^2=h^2+12^2\\\\4h^2+9h+9=h^2+144\\\\h^2+4h-45=0\\\\(h-5)(h+9)=0[/tex]
Now , h = 5 or h = -9 .
Now , height cannot be negative .
So , height of the dock is 5 ft .
Hence , this is the required solution .
PLEASE HELP!!
Draw a line segment between each vertex of ABCD and the corresponding vertex of AEFBEFCEFDEF.
There are four line segments in all. Then move polygon ABCD around the coordinate plane. What do
you observe about the angle formed between the line segments you drew and the line of reflection,
EF? Use the tools available in GeoGebra to confirm your hypothesis.
Answer:
Each line segment joining a vertex of ABCD to the corresponding vertex in the image is perpendicular to the line of reflection, EF. That is, the lines intersect at a 90 degree angle.
The Zoo charges $14 per visit for non-members. To become a member of the Zoo you will be charged a $36 one-time fee $2 per visit. At what number of visits will a member and non-member pay the same amount?
Answer:
7
Step-by-step explanation:
You divide the number of visits and the price. 14÷2=7
Solve the equation: only write the number is the box
2( 5x+2)=54
Answer:
x = 5
Step-by-step explanation:
Step 1:
2 (5x + 2) = 54
Step 2:
10x + 4 = 54
Step 3:
10x = 50
Answer:
x = 5
Hope This Helps :)
Answer:
x = 5
Step-by-step explanation:
2(5x+2)=54 (distribute)
10x+4=54 (subtract the 4 on both sides)
-4 -4
10x = 50 (divide 10 on both sides)
10 10
x = 5
What do you think is going to be the most challenging part of Alg.1 and why?
Answer:
I think Factoring is going to be the most challenging part of Alg.1 because it seems like there are a lot of steps before finding the answers.
Explanation:
When I took algebra I, the most difficult part for me was inequalities.
I had been used to linear equations and even quadratic equations, where the operative rule is "keep the equal sign sacred" (whatever you do to one side must also be done to the other side). Once I figured out that multiplying or dividing inequalities by a negative number reverses the comparison, I was good to go.
__
These days, algebra I also includes a good dose of statistics. That seems to trip up a number of people, including me. The main thing, I think, is to stay clear on the definitions, and whether you're talking about a population or a sample. A lot of the math is easily handled by a graphing calculator or spreadsheet, so familiarity with the use of those is a great bonus (almost required).
__
You will be better equipped to go into algebra I if you have memorized multiplication tables, rules of divisibility, some mental math procedures, and squares and cubes of small integers (square ≤ 20^2, cubes ≤ 10^3). This will help immensely when it comes to factoring. Similarly, you need to be familiar with arithmetic involving decimals, fractions, and mixed numbers. Numbers in one form should offer you no more challenge than numbers in any other form.
__
A big challenge for many people is the fact that math builds on previous learning. If you don't learn the early stuff well, and practice it a lot, then you will find you have difficulty drawing on that knowledge to make the later stuff easier. It's NOT a "test and forget" sort of deal. It's a "remember this forever" sort of deal.
find the additive inverse of 1/2 + 1/6 + 1/12
Answer:
3/4
Step-by-step explanation:
What is the distance between the points (−3, 5) and (−3, −9)? A) 4 B) 6 C) 11 D) 14
Answer: D)14
Step-by-step explanation: The x-factors are both -3 but the y-factors are different so you count the distance between them
Appreciate any help ^^ completely lost
Answer:
B
Step-by-step explanation:
4x²/2 √x^4/4x²
2x²√x²/4 ( equal to C)
4x²/2(x²/2x)
2x²(x²/2x)=
2x^4/2x =x³ ( equal to A) or √x^6 ( equal to D) also E x²√x²=x^3
6x* 10 = 160
what the result of X ?
Answer:
x=8/3
Step-by-step explanation:
6x*10=160
6x=16
x=16/6
x=8/3
Answer:
[tex]x = 8 \div 3 \\ \\ [/tex]