Which linear function has the greatest initial value? Which has the greatest rate of change?
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WILL GIVE BRANLIEST IF ANSWERED
Answers
The linear function C has the greatest initial value is 2. And the linear function B that has the greatest rate of change is 3.
The complete question is attached below.
What is the equation of line?The equation of line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
Then the equations of the functions A, B, and C is given as
Function A: y = 5/2 x
Function B: y = 3x - 1
Function C: y = 1/3x + 2
Then graph of the functions is given below.
The linear function C has the greatest initial value is 2.
The linear function B that has the greatest rate of change is 3.
More about the equation of line link is given below.
https://brainly.com/question/21511618
#SPJ1
Related Questions
The temperature readings from a thermocouple in a furnace fluctuate according to a cumulative distribution function,
0, x < 800 oC
F(x) = 0.05x - 40, 800 oC< or is equal to x < 820 oC
1, x > 820 oC
Determine the following.
A) P(X< 810.0).
B) P(800
C) P(X> 808.40).
D) If the specifications for the process require that the furnace temperature be between 805.60 and 808.40oC, what is the probability that the furnace will operate outside of the specifications?
Answers
Answer:
[tex]P(x<810)=0.5[/tex]
[tex]P(x<800) = 0[/tex]
[tex]P(x>808.40) = 0.58[/tex]
[tex]P(x\le805.40\ or\ x\ge 808.40) = 0.85[/tex]
Step-by-step explanation:
Given:
[tex]F(x) = \left\{\begin{array}{ll}{0} &; {x<800^{\circ} \mathrm{C}} \\ {0.05 x-40} &; {800^{\circ} \mathrm{C} \leq x<820^{\circ} \mathrm{C}} \\ {1} &; {x>820^{\circ} \mathrm{C}}\end{array}[/tex]
Solving (a): P(x < 810)
To solve this, we make use of:
[tex]P(x<810) = F(x) = 0.05x - 40[/tex]
Because
[tex]800^\circ C \le 810 \le 820^\circ C[/tex]
So:
[tex]F(x) = 0.05 * 810 -40[/tex]
[tex]F(x) = 40.5 -40[/tex]
[tex]F(x) = 0.5[/tex]
Hence:
[tex]P(x<810)=0.5[/tex]
Solving (b): P(x < 800)
To solve this, we make use of:
[tex]P(x<800) = F(x) = x[/tex]
Because:
[tex]x < 800^\circ C[/tex]
So:
[tex]P(x<800) = 0[/tex]
Solving (c): P(x > 808.40)
Here, we make use of complement rule:
[tex]P(x>808.40) = 1 - P(x \le 808.40)[/tex]
Where:
[tex]P(x\le808.40) = 0.05x - 40[/tex]
[tex]P(x\le808.40) = 0.05*808.40 - 40[/tex]
[tex]P(x\le808.40) = 0.42[/tex]
So:
[tex]P(x>808.40) = 1 - 0.42[/tex]
[tex]P(x>808.40) = 0.58[/tex]
Solving (d) The probability that the temperature lies outside 805.60 and 808.40
First, we calculate the probability that it lies within.
This is represented as:
[tex]P(805.40 < x < 808.40)[/tex]
This is calculated using:
[tex]P(805.40 < x < 808.40) = F(808.40) - F(805.40)[/tex]
[tex]P(805.40 < x < 808.40) = 0.05*808.40-40 - (0.05*805.40-40)[/tex]
[tex]P(805.40 < x < 808.40) = 0.42 - (0.27)[/tex]
[tex]P(805.40 < x < 808.40) = 0.42 - 0.27[/tex]
[tex]P(805.40 < x < 808.40) = 0.15[/tex]
Using complement rule, the required probability is:
[tex]P(x\le805.40\ or\ x\ge 808.40) = 1 - 0.15[/tex]
[tex]P(x\le805.40\ or\ x\ge 808.40) = 0.85[/tex]
Geometry proof help please
Answers
Answer:
the picture is blurt can't see any thing sorry can't help
Convert 65 millimeters to centimeters
Pls use step by step pls
Answers
Answer:
65 mili= 6.5cm
Step-by-step explanation:
divide the length value by 10
Divide 65 by 10 to get the number of centimetres:
65mm/10mm=6.5cm
Hope this helps!!
2. Bryan wants to rent a boat. The rental shop charges an initial fee of $12 plus $8 per hour to
rent the boat. If he paid a total of $120 when he rented a boat, for how many hours was the
boat rented?
Answers
Answer:
13.5 hr.
Step-by-step explanation:
Let h = no. of hours
Total cost = 12 + 8h = 120
8h = 108
h = 13.5 hr.
The value of Adam's model railway is $550.
This value increases exponentially at a rate of r %
per year.
At the end of 5 years the value will be $736.
Calculate the value of r.
Answers
Answer:(c)
Step-by-step explanation:
Given
The initial value of Adam's model is [tex]A_o=\$550[/tex]
the value increases exponentially with the rate of [tex]r\%[/tex]
Time period [tex]t=5\ years[/tex]
Final amount [tex]A=\$736[/tex]
Exponential growth is given by
[tex]\Rightarrow A=A_o(1+r)^t[/tex]
Putting values
[tex]\Rightarrow 736=550(1+r)^5\\\\\Rightarrow (1+r)^5=1.338[/tex]
[tex]\Rightarrow 1+r=1.05999\\\Rightarrow r=0.05999\ or\ 5.99\%\approx 6\%[/tex]
Option (c) is correct
What is a measurement 90 degrees called
Answers
Answer:
A right angle.
Step-by-step explanation:
Hope this helps! Have a great rest of your day!
help if a plane go down on by newyork and newjersey where do you bury the survivors
Answers
Answer:
You don't bury survivors because they survived
Step-by-step explanation:
Reasoning There are 27 more green ca
in the parking lot. What percentage of
lot are green? What percent are black
Answers
hi 13% are black and 13% are green
WILL MARK BR ONLY HAVE 5 MINUTES XTRA POINTS
Answers
Answer:
B 8 out of 43
Step-by-step explanation:
Answer:
8 out of 43
Step-by-step explanation:
There are 86 total chocolates
There are 16 taffy chocolates
So the current ratio is 16:86
You can divide it by 2 which gives you "8 out of 43"
5,890,000=a×10b a==?
Answers
Answer:
=146628
Step-by-step explanation:
gracias por los puntos
Josiah bought two pounds of strawberries for $9.60. What is the price, in dollars per ounce of strawberries? 1 pound = 1 pound= 16 ounces 16 ounces Before you try that problem, answer the question below. How many ounces of strawberries did Josiah buy?
Answers
Answer:
$0.30 per ounce
Step-by-step explanation:
16 ounces per pound
16 x 2 = 32 ounces per 2 pounds
9.60/32 = $0.30 per ounce
HELP QUICK PLZ
The cost to purchase a song from iTunes is $0.99 per song. To purchase from Napster, you must be a member. The Napster membership fee is $10, in addition to $0.89 per song. How many songs would need to be downloaded for the monthly price of Napster to be the same as iTunes?
Answers
Answer:
It will take
100 songs for the monthly price of Napster to cost the same as iTunes.
What is the relative minimum of the function?
if anyone could help it would be appreciated!! :)
Answers
Answer:
-2
Step-by-step explanation:
since the parabola opens upwards, the minimum is at the vertex of the parabola and the maximum is infinity, because the lines of a parabola goes on forever
you look for the smallest x value for the parabola and since you can see that the vertex of the parabola lies on x=-2, the minimum value of the function is -2.
Hope that helps :)
Which fraction is equivalent to 9 12
Answers
Answer:
3/4
Step-by-step explanation:
So we know that 3/4 is equivalent to 9/12, because 3×12=36 and 4×9=36. A simple way to look at how to check for equivalent fractions is to do what is called “cross-multiply”, which means multiple the numerator of one fraction by the denominator of the other fraction
Please I need help it’s an emergency
Answers
Answer:
C. 1.35 M
I hope it helps...
P= $16,000, r= 10%, t= 180 days
Assume 360 days in a year.
Answers
I = (16,000)(0.1)(0.5)
I = $800
Part A
In the boxes provided, write three equations that can be solved to
find h, the number of hours it takes James to mow each of the
three lawns. Use h and = in each equation.
Equation for Mrs. Chavez's lawn:
Equation for Mr. Ortiz's lawn:
Equation for Mrs. White's lawn:
Answers
Answer:
Step-by-step explanation:
To find the number of hours for each, divide the amount of money he had received by the amount he would receive for 1 hour of work. (Answers are in the image below) I hope I wasn’t too late to help:)
Can someone please help me
Answers
Answer: 7 and 83
Step-by-step explanation:
complementary have an engles sum of 90 degree
7+83=90.
What part of a hummingbird is adapted to help it obtain food from inside flowers?
1.Beak
2.Wings
3.Eyes
4.Head
Answers
Please need help please please
Answers
Answer:10
Step-by-step explanation:
Answer:
10 people
Step-by-step explanation:
Can someone answer this please!!! I only have 5 mins and u will get Brainly too :)
Answers
Answer:
20 Sq cm
Step-by-step explanation:
Length of parallel sides are 7 cm and 3 cm and perpendicular height is 4 cm.
Area of trapezium
[tex] = \frac{1}{2} (7 + 3) \times 4 \\ \\ = 10 \times 2 \\ \\ = 20 \: {cm}^{2} [/tex]
Hope this helps!!
i needa big mac frfr brrrrrrrr
Answers
Answer:
ok
Step-by-step explanation:
Answer:
suppersize my fries...
Answer this correctly with an explanation I’ll give u brainalist + 10 points
Answers
Answer:
option D
Step-by-step explanation:
Angle ADF and Angle FDE
ADF+ FDE
Answer:
D
Step-by-step explanation:
An employee's salary,
S
(
n
)
, in dollars, at a company is a function of the number of years,
n
, that the employee has worked at the company.
The relationship between
n
and
S
(
n
)
is shown in the table below.
Answers
The question is incomplete. Here is the complete question.
An employee's salary, S(n), in dollars, at a company is a function of the number of years, n, that the employee has worked at the company.
The relationship between n and S(n) is shown in the table below.
Which of the following equations represents an explicit formula for S(n)?
A. S(n) = 40,000(1.05)ⁿ
B. S(n) = 40,000 + 1.05n
C. S(n) = 40,000(1.05)ⁿ⁻¹
D. S(n) = 40,000 + 1.05(n-1)
Answer: A. S(n) = 40,000(1.05)ⁿ
Step-by-step explanation: The table shows an exponential function, which is, in general, is of the form:
[tex]S(n)=S_{0}r^{n}[/tex]
where
S₀ is the initial value
r is the rate the salary grows
n is the years the employee worked
From the table, in the first year, an employee receives $40,000, so, that is the initial value.
The salary increases at a constant rate of 1.05 per year, as shown below:
[tex]r=\frac{42,000}{40,000}=\frac{44,100}{42,000}=\frac{46,305}{44,100}[/tex]
r = 1.05
So, the rate the salary grows is r = 1.05 or 5%.
Therefore, the equation that shows an explicit formula for S(n) is [tex]S(n)=40,000(1.05)^{n}[/tex].
The graph of f(x)shown below resembles The graph of g(x)x^4,But it has been vertically compressed. Which of the following could be the equation of f(x)? 
A f(x)=-2x^4
B f(x)2x^4
C F(x)=-1/2x^4
D f(x)=1/2x^4
( NEED HELP ASAP PLZ)
Answers
I don't know how to do this, please help
Answers
Answer:
m7=80º
m8=100º
Step-by-step explanation:
what is the slope of the line that passes through the points (2,-3) and (2,13)? write your answer in simplest form
Answers
Answer:
The slope is undefined because there is no change in x, making it a vertical line
Step-by-step explanation:
What percent is 31 green fish out the f 49
Answers
Answer:
divide 31 by 49 and multiply the result by 100
(31÷49 ) × 100
What is the equation of the line that passes through the point (-5, 3) and has a
slope of
-6/5
Answers
Hope this helps
Leave a like and brainliest!
What is the value of x in the equation?
3(2x+3)=27
Answers
Answer:
x=3
Step-by-step explanation:
3(2x+3)=27
2x+3=27/3=9
2x=9-3=6
x=6/2=3