The expression for y is y = 2x +20; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
What is domain and range of a function?Domain is the set of values for which the given function is defined.
Range is the set of all values which the given function can output.
We're given that:
Time spent by Vlad on history homework = 20 minutesTime spent by Vlad on math homework (x math problems) = 2 minutes on each problemy = time he spent on doing overall homeworkThen we have:
y = time on math homework + history homework
y = 2 +2 +2 ... (x times) + 20 minutes
[tex]y = 2x + 20[/tex]
x is "number of math problems". Thus, x can be 0,1,2,... These numbers are called non-negative integers(or integers greater or equal to 0) or whole numbers.
y is the time taken, but we see that
y = 2 times (non-negative integer) + 20
y = positive integer times non-negative integer + positive integer
Thus, we have:
y = non-negative integer + positive integer = positive integer
Thus, y assumes positive integral values only (in minutes).
Also, y is always going to be at least 20 (as history homework is going to take 20 minutes, even if math homework is nill ).
Thus, the expression for y is y = 2x +20; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20
Learn more about domain here:
https://brainly.com/question/20073127
Determine if the given relation is function or not. Give its domain and
range.
{(1, 6), (2, 7), (3, 8), (4, 9)}
Answer:
YesStep-by-step explanation:
According to definition of the function, it should have one-to-one relation.
We can see all pairs are unique, no repeated ranges for same domain.
Yes, this is a function.
Given relationship
(1,6)(2,7)(3,8)(4,9)Domain:-
{1,2,3,4}Range:-
{6,7,8,9}As every domain has an unique range it's a function
A function f is odd and f(x)=x^2 for all x>0. Sketch the graph of this function and then write the rule of this function as a single formula.
We will see that we have a piecewise function:
f(x) = x^2 for x > 0.f(x) = -x^2 for x ≤ 0.The graph can be seen at the end.
What is an odd function?
A function is odd when f(-x) = -f(x) for all the values of x in the domain of the function.
In this case, we know that:
f(x) = x^2 for x > 0.
Then, for the negative range, the sign must change (but the quadratic function is even). Then we define the function in the negative range as:
f(x) = -x^2 for x ≤ 0.
This is the odd function (a piecewise function) for the whole domain:
f(x) = x^2 for x > 0.f(x) = -x^2 for x ≤ 0.The graph of the piecewise function can be seen below.
If you want to learn more about piecewise functions, you can read:
https://brainly.com/question/3628123
Answer:
[tex]f(x) =\frac{x^3}{|x|}[/tex]
Step-by-step explanation:
Being an odd function means that [tex]f(-x) = -f(x)[/tex].
Graphically, it means the function will be symmetric across the origin.
So, the graph will have to look like the shown graph.
This graph looks quite similar to the graph [tex]f(x) = x^3[/tex], so we can use that as our parent function.
To get the graph to equal [tex]x^2[/tex] for x>0, we must divide [tex]x^3[/tex] by x.
However, this will simply result in the function [tex]f(x) = x^2[/tex].
If we divide by the absolute value of x however, the graph will look as desired.
Two whole numbers have a least common multiple of 24.
Each of these numbers is less than or equal to 12.
The greatest common factor of the two numbers are 4.
What are the two numbers?
A. 6 and 12
B. 8 and 12
C. 4 and 8
D. 4 and 12
Answer:
3
Step-by-step explanation:
hopefully it helps :)
Lisa’s kitchen is 6. 5 m wide and the perimeter is 29. 6 m and rectangular in shape.
Calculate the length of her kitchen.
m
ANSWER: 8.3
EXPLANATION :perimeter= (length + width)2
29.6 m = ( length+6.5)2
29.6 = 2l + 13
29.6 Subtract 13 = 2 lengths
16.6÷2 =2l ÷2
length = 8.3
Having which of the following is a trait for a architectural designer
Answer:
Architect Characteristics
Negotiation Skills
Love of Learning
Broad Knowledge
Love of Nature
Hard Workers
Step-by-step explanation:
NEED HELP!!! WILL GIVE BRAINLIEST, PLEASE COMPLETE BOTH!!!
solution 1:
[tex]\rightarrow \sf 7 * 3\dfrac{1}{5}[/tex]
[tex]\rightarrow \sf 7 * \dfrac{16}{5}[/tex]
[tex]\rightarrow \sf \dfrac{112}{5}[/tex]
[tex]\rightarrow \sf 22\dfrac{2}{5}[/tex]
solution 2:
[tex]\rightarrow \sf 5\dfrac{4}{10}*2[/tex]
[tex]\rightarrow \sf \dfrac{54}{10}*2[/tex]
[tex]\rightarrow \sf \dfrac{108}{10}[/tex]
[tex]\rightarrow \sf 10\dfrac{8}{10}[/tex]
Hello, The question is in the attachment
Help me, Please.(❁´◡`❁)
Answer:
1/9
Step-by-step explanation:
Your required probabilty answer is 1/9
Complete this activity. Record and submit your results.
Toss a coin 200 times. Record the heads and tails as you toss. Submit your results for the number of heads after:
I. 10 tosses
II. 50 tosses
III. 100 tosses
IV. 200 tosses
What are the roots of the polynomial equation x cubed minus 6 x = 3 x squared minus 8? use a graphing calculator and a system of equations. –40, –4, 5 –5, 4, 40 –4, –1, 2 –2, 1, 4
Answer:
-2, 1, 4
Step-by-step explanation:
Question was already answered.
Answer:
its D on edge 2022
Step-by-step explanation:
Helpp me rnnnnnnnnnnnnnnnnnnnnnn
Answer:
[tex]y=\frac{3}{2} x-3[/tex]
Step-by-step explanation:
Slope Intercept form;
[tex]y=\frac{3}{2} x-3[/tex]
Find the area of each figure. The unit of length is cm (b) E D 8 25: :15 8 A 36 A 10 M 17 N 12 B
please help asap please please
I need help with this
Answer:
Step-by-step explanation:
Ir is a rectangle because it is a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.
James has6 7/12 cups of flour. He uses 2 5/12 cups to bake some cakes. He uses another 2 8/12 cups to bake some cookies.
How many cups of flour does James have left? Someone please help me i need this asap! <3
Answer:
I believe the answer would be 3/2 or 1 1/2
Step-by-step explanation:
This is how I did it
6 7/12 - 2 5/12 = 4 1/6
Then,
4 1/6 - 2 8/12 = 1 1/2
In decimal form, it'll be 1.5
----------------------------------
I hope i helped you.
HELP! WILL GIVE BRAINLEST!
Answer:
210, 330
Step-by-step explanation:
we know that the angle 30 gives the value of 1/2
so, since we know that sin is negative in both the third and the fourth quadrant, we can find the answer.
make sure to ask if you need any further guidance. :)
I NEED HELPP PLEASE
Answer:
√17
Hope it helps.......
What is the slope of line a?
у
6
5
3
2
to -54 -3 -2 -
2 3 4
1
-2
-3
-5
-6
o
1
4
0-4
04
0
is
Answer:
The slope equals the rise divided by the run:
Step-by-step explanation:
You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it. So, you can choose any 2 points along the graph of the line to figure out the slope.
Select the correct answer.
Simplify the expression.
Answer:
Option D :- [tex] \sf \: 18 {x}^{2} {y}^{2} \sqrt[3]{3 {xy}^{2} }[/tex]
Step-by-step explanation:
[tex] \sf \: 3x\sqrt[3]{648 {x}^{4} {y}^{8} }[/tex]
transform the equation
[tex] \rightarrow \sf \: 3x\sqrt[3]{ {6}^{3} \times {3x}^{2} \times {xy}^{6} \times {y}^{2} }[/tex]
rewrite the expression
[tex] \rightarrow \sf \: 3x \times \sqrt[3]{ {6}^{3}} \times\sqrt[3]{ {3x}^{2}} \times \sqrt[3]{ {xy}^{6} } \times \sqrt[3]{{y}^{2} }[/tex]
Simplify the radical expression
[tex] \rightarrow \sf \: 3x \times {6xy}^{2} \sqrt[3]{3xy {}^{2} }[/tex]
Multiply
[tex] \sf \: 18 {x}^{2} {y}^{2} \sqrt[3]{3 {xy}^{2} }[/tex]
Answer: Option D :-
Step-by-step explanation:
transform the equation
rewrite the expression
Simplify the radical expression
Multiply
Step-by-step explanation:
Does x^2=-4 have one solution
Answer:
The answer has no solutions but if you want it in imaginary numbers the answer would be x=-2i and x=2i
Answer:
No solution
Step-by-step explanation:
If the answer has no solution you can't change it, just write No solution
Can I get help with this problem
Answer:
4,7,0,
Step-by-step explanation:
answer 1 is 4 2 nd answer is 7 third answer is 0 and 4 th answer is I don't know
I need help please
I will give points and brainlest
Answer:
a. 2 7/9 miles
b. 21.6 minutes
c. 8 1/3 miles
Step-by-step explanation:
The rate at which Catlin runs can be determined from the graph by finding the coordinates of a grid point that lies on the line. The line goes through the origin, so the relationship between time and distance is proportional.
We see that the point (miles, minutes) = (1 2/3, 12) lies on the graph, so the contant of proportionality is ...
k = y/x = 12/(5/3) = 36/5 = 7.2 . . . . minutes/mile
__
a.The proportion can be written ...
distance/(20 minutes) = (1 mile)/(7.2 minutes)
distance = (20/7.2) miles = 2 7/9 miles
Catlin will run 2 7/9 miles in 20 minutes
__
b.The proportion can be written ...
time/(3 miles) = (7.2 minutes)/(1 mile)
time = (3)(7.2 minutes) = 21.6 minutes
Catlin was running 21.6 minutes
__
c.In 1 hour, Catlin will run 3 times as far as in 20 minutes. Using the result from part A, we find ...
3(2 7/9 miles) = 8 1/3 miles 8 1/3 miles
Catlin will run 8 1/3 miles in one hour.
_____
Additional comment
Once we have a relationship between minutes and miles, we can write proportions with either of those numbers in the numerator or denominator. We find it convenient to put the unknown value in the numerator of a proportion, which is why the ratios are written differently in the different parts of the problem.
Chen uses these digit cards.
5,6,9
She makes a 2-digit number and a 1-digit number.
She multiplies them together.
Her answer is a multiple of 10
What could Chens multiplication be?
_ _X_
Answer:
95 x 6
or 96 x 5
Step-by-step explanation:
Solve by logicIf you examine the three numbers, you will see that 5 is the only factor of 10.
If we multiply 5 by an even number, we get a multiple of 10.
If we multiply 5 by an odd number, we get a multiple of 5.
Therefore, the 1-digit number must be 5 or 6, and the last digit of the 2-digit number must be 6 or 5.
This means that the first digit of the 2-digit number has to be 9.
So the options are: 95 x 6 and 96 x 5
Proof56 x 9 = 504
59 x 6 = 354
65 x 9 = 585
69 x 5 = 345
95 x 6 = 570
96 x 5 = 480
**Mulitples of 10 have a zero in the units place**
Ann planted daisies in her garden. After a month, she measured the height of each daisy.
Answer:
the median is 7 for your question center
THE PYTHAGOREAN THEOREM; FIND THE SHORTER SIDE
A television screen with a 68-inch diagonal is 60 inches wide. How tall is
the television screen?
Answer:
32 inches tall
Step-by-step explanation:
Pythag orean theorem
60^2 + tall^2 = 68^2
tall = 32 inch
I need help plsss ..............
can somebod help me with this
kinda forgot how to do it
Answer:
21.98
Step-by-step explanation:
u have 2 multiply 3.14 and 7
ur wlcm
Answer:
21.98
Step-by-step explanation:
might be 21.99 but schould be 21.98
c=pie(d)
C=3.14(7)
21.98=7x3.14
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST
A jar has 28 cherry-flavored candies, 18 strawberry-flavored candies, and 20 orange-flavored candies. If a piece of candy is taken from the jar at random, what is the probability that it will be strawberry-flavored candy?
Group of answer choices
10/33
1/20
14/33
3/11
Answer:
3/11
Step-by-step explanation:
You add up all of the candies so 20+19+28 which is 66
18 is the number of strawberry candies so it becomes 18 over 66, 18/66
Symplify 18/66 and it becomes 3/11
1. Mr. Samuel had 13 notes in his wallet. They consist of $1. $5 and $10 notes. The total amount of the notes adds up to $93. How many $10 notes are there in his wallet?
Answer:
8 $10 notes
Step-by-step explanation:
I started by working it backwards. $93-$3 equals $90. So we have three of our 13 notes. We need ten more. Well the most $10 notes we can have is 8. if we had 8 $10 notes that would give us $80. $90-$80=10. We can take ten and divide it by five so we have 2 $5 notes.
So in total he would have 8 $10 notes, 2 $5 notes, and $3 one dollar notes which adds up to 13 notes
what is the ordered pairs for y=6x-3
Answer:
(0,−3),(1,3),(2,9) are possible options
Step-by-step explanation:
What is (3^2)^4? Pls help will give crown if explanation is fair
Answer:
answer is the frist picture
Step-by-step explanation:
Answer number 5 pleaseee
Answer: $17.55
Step-by-step explanation:
We will multiply the bill by 117% to account for the original amount and the tip being given.
117% / 100 -> 1.17
$15 * 1.17 = $17.55
Sarah should leave $17.55 in total.