Answers
Answer:
[tex] \sf k = 1 \\\\ \sf y = x [/tex]
Step-by-step explanation:
A graph between the amount of time that backpacker hikes to the distance travelled is given .
We need to find the constant of proportionality and the equation of the relationship .According to the Question ,
[tex]\sf \implies y \propto x \\\\\sf \implies y = kx [/tex]
Where k is a constant . Now from the graph , when y is 5 x is also 5 . On substituting the numbers ,[tex]\sf\implies 5 = k(5) \\\\\sf \implies k =\dfrac{5}{5}\\\\\sf \implies \boxed{\frak{\pink{ k = 1 }}}[/tex]
Again the constant of proportionality is the slope of the line.
Here the slope of the line is 1 and its y intercept is 0 . On using slope intercept form ,[tex]\sf\implies y = mx + c \\\\\sf \implies y = 1(x) + 0 \\\\\sf \implies \boxed{\pink{\frak{ y = x }}}[/tex]
Related Questions
english 3 hhhhhhhhhheeeeeeelllllllllllllllllppppppppppp me
Answers
Answer:
the answer is: A
because deduce means to arrive at a fact or conclusion by reasoning.
also because the correct word you would use In option A is reduce.
Rabbit populations can double every 30
days. If there are 10 rabbits on a farm,
how many rabbits will be on the farm
after 120 days?
First, complete the equation:
Future Amount = [?](1+10
=
Answers
This means you will DOUBLE the 10 rabbits 4 times.
10+10=20
20+20=40
40+40=80
80+80=160
The profit function p(x) of a tour operator is modeled by p(x) = −2x2 + 900x − 40000, where x is the average number of tours he arranges per day. What is the range of the average number of tours he must arrange per day to earn a monthly profit of at least $60,000?
between 200 and 250; exclusive
between 200 and 250; inclusive
less than 250
more than 200
Answers
Solving the quadratic function, it is found that the range is of:
between 200 and 250; inclusive
The profit for x tours is modeled by the following equation:
[tex]p(x) = -2x^2 + 900x - 40000[/tex]
It is concave down, so the monthly profit will be of at least $60,000 between the two roots when [tex]p(x) = 60000[/tex]. Thus:
[tex]60000 = -2x^2 + 900x - 40000[/tex]
[tex]2x^2 - 900x + 10000 = 0[/tex]
Simplifying by 2:
[tex]x^2 - 450x + 50000 = 0[/tex]
Which has [tex]a = 1, b = -450, c = 50000[/tex]
Then:
[tex]\Delta = (-450)^2 - 4(1)(50000) = 2500[/tex]
[tex]x_{1} = \frac{-(-450) + \sqrt{2500}}{2} = 250[/tex]
[tex]x_{2} = \frac{-(-450) - \sqrt{2500}}{2} = 200[/tex]
At least $60,000 includes $60,000, thus the interval is inclusive, and the correct option is:
between 200 and 250; inclusive
A similar problem is given at https://brainly.com/question/25181401
Work out 1.6 X 10⁴ + 0.8 X 10⁴.
math work
Answers
Answer:
2.4× 10^4
Step-by-step explanation:
you just sum 1.6 with 0.8
[tex]2.4 \times {10}^{4} [/tex]
Someone pls help me :c tysm if u do :))
Answers
Answer:13
Step-by-step explanation: Your going up on the number line.
Hope I was able to help! :)
I NEED HELP PLEASE!!!!!!
Answers
Answer:
Step-by-step explanation:
Two angles are alternate and has same measurement because line l and line m are parallel so to find x:
4x - 50 = 2x + 30
4x - 2x = 30 + 50 add/subtract like terms
2x = 80 divide both sides by 2
x = 40
The points in the table lie on a line. Find the slope of the line.
Answers
Answer:
[tex] - \frac{4}{5} [/tex]
Step-by-step explanation:
Slope of line
[tex] = \frac{ - 6 - ( - 8)}{ - 5 - ( - 2.5)} \\ \\ = \frac{ - 6 + 8}{ - 5 + 2.5} \\ \\ = \frac{2}{ - 2.5} \\ \\ = - \frac{20}{25} \\ \\ = - \frac{4}{5} [/tex]
1,200 plus what equals what??
Answers
Answer:
1,200+300=1,500
Step-by-step explanation:
Answer:
1,200+1,200=2,400
Step-by-step explanation:
Tom made $90 for 5 hours of work.
At the same rate, how many hours would he have to work to make $126?
Answers
7 Hours
Step-by-step explanation:
Very simple, 90/5 is 18, so that means Tom makes 18 dollars an hour, multiply 18 by 7 and you get 126.
(Thanks and Brainiest Appreciated)
Easy? Please help me
Sarah earns $
8.50
8.50 per hour babysitting. She needs to make at least $
187
187 to buy a new bike.
Write an inequality to represent the number of hours Sarah needs to work to afford the bike.
187
h
≥
8.50
187h≥8.50
187
h
≤
8.50
187h≤8.50
8.50
h
≥
187
8.50h≥187
8.50
h
≤
187
8.50h≤187
Answers
Answer:
The answer is A
Step-by-step explanation:
Hope it helps!
What is the slope passing through the points (11,-5) and (1,20)
Answers
Answer:
-2.5 or -5/2
Step-by-step explanation:
To find the slope we need to find the change in y and divide it by the change in x:
m = change in y ÷ change in x
m = (-5 - 20) ÷ (11 - 1)
m = 25 ÷ -10
m = -2.5 or -5/2
Hope this helps!
May I please receive help?
Please?
Answers
Answer:
19
Step-by-step explanation:
take total divide by 5 and boom nice
=============================================================
Explanation:
Let's say x is the measure of angle 1, aka angle ABC. We'll also say the variable y is equal to angle 2, aka angle CBD.
Angles x and y add to angle ABD, which is 95 degrees
x+y = 95
Since angle 2 is four times that of angle 1, we also know that,
y = 4x
----------------
Let's apply substitution to solve for x
x+y = 95
x+4x = 95 ... replace y with 4x
5x = 95
x = 95/5
x = 19 which is the measure of angle 1
y = 4x = 4*19 = 76
x+y = 19+76 = 95 which helps confirm the correct answer.
Work out the value of 3.14
Answers
157/5....................
Remember what we know about vertical angles and solve for x.
Then tell me the measure of Angle A.
(show your work)
Answers
Answer:
m<a is 32º
Step-by-step explanation:
4x-8=2x+12
+8 +8
4x=2x+20
-2x -2x
2x=20
÷2
x=10
4x-8
4(10)-8
40-8
32
HELP PLSSS THIS IS HARD SOMEONEEE
Answers
Answer:
B
Step-by-step explanation:
Each coordinate becomes 1/4 of what it was.
Answer: B
Answer:
Second option
Step-by-step explanation:
It's just how a scale factor works i guess, it's hard to explain.
Help meee plssss…………..
Answers
Answer:
therefore m=-3•5
Step-by-step explanation:
-39=18+4m
collect like terms
4m=18-39
4m=-14
divide both sides by 4m
m= -3•5
How would you teach something you have learned this year in Math to someone younger than you? Write more than 5 sentences
Answers
Answer:
ok here ya go
Step-by-step explanation:
A way that I would teach someone something that I learned in math this year to someone else is simple. I would start by writing everything out so that they have a visual of what I am teaching them. I would also use a visual of a real world situation so that it relates to something they would understand. Teaching someone younger than you means they probably will not understand as easy as you understood it so, I would be very slow and make sure if they are confused to help them. I would also make sure not to be too bossy, understanding that they may not understand and that is ok.
Solve 2x^2-3x-5=0 with the quadratic formula please and have a bless day
Answers
Answer:
( 2x^62- 3x) - 5 = 0
2x^62 - 3x - 5 = 0
X = - 1
- 5/2
The it is my dear friend
hello can anyone help?
Harry drives 182 miles.
His average speed is 35 miles per hour.
How long does the journey take?
Give your answer in hours and minutes.
Answers
Answer:
5 hours 12 minutes
Step-by-step explanation:
Amount of time the journey took = 182 miles ÷ 35 miles/h
= 5.2h
= 5h 12mins
plz help me im stuck
Answers
over the last 4 years michael has earned $240 interest on an initial investment of $2,000. what simple annual interest rate is the bank paying on this account
Answers
Answer:
.03 or 3%.
Step-by-step explanation:
Important:
I = interest
P = principal (investment)
R = simple interest rate
T = years
Formula: I = PRT
Given:
I = $240
P = 2000
T = 4 years
R = ?
Plug into formula:
240 = 2000(R)4
Multiply right side 2000*4
240 = 8000R
Divide both sides by 8000.
R = 240/8000
R = .03
The simple annual interest rate was .03 or 3%.
Therefore it .03 or 3%
add 8 to m, multiply the result by 4, then add 3 to what you have
Answers
(8 + m)4 + 3
This is ur answer have a good day
Use long division to divide and use the result to factor the dividend completely.
(5x2-13x - 28) + (x – 4)
Answers
Factor the expression
(5x² - 13x -28)/(x-4) = (x-4)(5x+7) so x = -7/5 and x = 4 are the two factors of the given polynomial.
What is a factor of a polynomial ?The factors of a polynomial are those values of x for which the given polynomial satisfies.
According to the given question we have to divide a polynomial (5x² - 13x -28) by (x - 4).
(5x² - 13x -28)/(x-4) = (x-4)(5x) + (7x - 28).
(5x² - 13x -28)/(x-4) = (x-4)(5x+7).
So, the obtained factor is (5x+7) = 0.
∴ 5x + 7 = 0
5x = -7
x = -7/5 is a factor of the given polynomial and by substituting these value in x.
(5x² - 13x -28)
5(-7/5)² - 13(-7/5) - 28 = 0
5(49/25) + 91/5 - 28 = 0
49/5 + 91/5 - 28 = 0
140/5 - 28 = 0.
28 - 28 = 0
0 = 0 ( hence satisfied that -7/5 is a factor of the given polynomial ).
learn more about polynomials here :
https://brainly.com/question/14624349
#SPJ2
Find all rational zeros of the given polynomial function.
f(x) = x^3 + 8x^2 + 5x – 14
Answers
Answer:
x = 1, -2, -7
Step-by-step explanation:
Just factor, you got this!
The denominator of a fraction is 4 more than its numerator. If the fraction equals 1/3, what is the fraction?
Answers
Answer:
Hello,
Here is your answer:
2/6
pls help me with this if you can
Answers
1) Let L = the larger # and S = the smaller #.
A large # is 5 more than twice a smaller #.....This gives Eq 1) L = 5 + 2S
Their sum is 80...This gives Eq 2) L + S = 80.
Substitute Eq 1) into Eq 2), you get
L + S = 80
5 + 2S + S = 80
3S = 75
S = 75 / 3 = 25
L = 5 + 2S
= 5 + 2(25)
= 5 + 50
= 55
-----------------------------------------------------------------------------------------------------------------
2) [-7,2)
- Vocabulary
· Interval
A set of values between two endpoints.
· Inequality
A mathematical expression which shows that two quantites are not equal.
Answer:
1) x = 25
2) 2(25)+5 = 55
-12<= x < 6
x <2 and x <= -7
Step-by-step explanation:
1) x
2) 2x + 5
x + 2x + 5 = 80
3x = 80 - 5
x = 75/3
x = 25
-24 <= 2x - 10
-24+10 <= 2x
-14/2 <= x
-7 <= x
2x -10< -6
2x < - 6 + 10
x < 4/2
x < 2
Please help!!
9.(05.02)
Solve the following system of equations: (5 points)
x - 2y = 5
2x - 4y = 10
Infinitely many solutions
No solutions
(0, 0)
(5, 10)
Answers
Answer:
Infinite solutions
Step-by-step explanation:
If you look at the equation, you will see that if you multiply everything by two (On the 1st equation), you get the 2nd equation. This means that the lines are the same, so infinite solutions.
Step-by-step explanation:
infinitely many solutions :)
3. Which phrase best describes the function of the ATP molecule?
1. Carries energy
2. Destroy energy
3. absorbs energy
4. none of the above
Answers
Answer:
1.) Carries energy
Step-by-step explanation:
A good summary of an ATP molecule is a molecule that transfers energy between cells... meaning it carries energy from cell to cell. Furthermore, energy cannot be destroyed, and cannot be absorbed, only changed and transformed. This leaves us with two options, (1. Carries energy, and 4. None of the above). Since we already have a basic understanding of what an ATP molecule does, we can confidently determine that the correct answer is that an ATP molecule can best be described as carrying energy.
An umbreela is made by stitching 12 triangular piece of cloth of two different colours with each piece measuring 40cm,40cm,and 18cm.How much clothes of each is required to make the umbrella?
Answers
Answer:
(Hope this helps can I pls have brainlist (crown)☺️)
Step-by-step explanation:
In pic
A line passes through point (-2, 5) and has a slope of 3. Points A(x 3) and B(-2, y lie on the line.
The value of xis
and the value of yis
Answers
Answer:
x = -8/3
y = 5
Step-by-step explanation:
Finding the equation of the line:
y = 3x +c
Substituting (-2,5) into 'y=3x+c':
5 = -6 + c
c = 11
Hence,
y = 3x + 11
For finding x:
Substituting (x, 3) into 'y = 3x +11':
3 = 3x + 11
3x = -8
x = -8/3
For finding y:
Substituting (-2, y) into 'y = 3x + 11':
y = -6 + 11
y = 5
Hope this helps and be sure to have a wonderful time at Brainly! :D