this is due today i would appreciate it a lot if smn could help me with it :/
Answers
Answer:
Conclusion:
The rate of change of function 1 = 3
The rate of change of function 2 = 5/3
Hence, function 1 has a greater rate of changeThe initial Value of function 1 = y = 2
The initial Value of function 2 = y = 3
Hence, function 2 has a greater initial value.Step-by-step explanation:
Function 1)
Determining rate of change for function 1:
x 1 2 3 4
y 5 8 11 14
Finding the rate of change or slope using the formula
Rate of change = m = [y₂-y₁] / [x₂-x₁]
Taking any two points, let say (1, 5) and (2, 8)
Rate of change = m = [8-5] / [2-1]
= 3/1
= 3
Therefor, the rate of change of function 1 = m = 3
using point-slope form to determine the function equation
y-y₁ = m (x-x₁)
where m is the rate of change or slope
substititng m = 3 and the point (1, 5)
y - 5 = 3(x - 1)
y - 5 = 3x-3
y = 3x-3+5
y = 3x + 2
Thus, equation of function 1 will be:
y = 3x + 2
Determining Initial Value for Function 1:
substituting x = 0 in the equation to determine the initial value
y = 3(0)+2
y = 0+2
y = 2
Therefore, the initial Value of function 1 will be: y = 2
Function 2)
Determining the rate of change for function 2:
Given the function 2
[tex]y\:=\:\frac{5}{3}x+3[/tex]
comparing with the slope-intercept form of a linear function
y = mx+b where m is the rate of change
so the rate of change of function 2 = m = 5/3
Determining Initial Value for Function 2:
substituting x = 0 in the equation to determine the initial value
[tex]y\:=\:\frac{5}{3}x+3[/tex]
[tex]y\:=\:\frac{5}{3}\left(0\right)+3[/tex]
[tex]y = 0+3[/tex]
[tex]y = 3[/tex]
Therefore, the initial Value of function 2 will be: y = 3
Conclusion:
The rate of change of function 1 = 3
The rate of change of function 2 = 5/3
Hence, function 1 has a greater rate of changeThe initial Value of function 1 = y = 2
The initial Value of function 2 = y = 3
Hence, function 2 has a greater initial value.Related Questions
New York and Denver are in different time zones. When it is noon in New York, it is 10:00 a.m. in Denver. At 2:00 p.m. in New York, a train departs, and it arrives in Denver 45 hours later. What time is it in Denver when the train arrives?
Answers
Answer:
9:00 AMStep-by-step explanation:
Time in New York = noon = 12:00 PMTime in Denver = 10:00 AMTime difference = -2 hours
Train departs at 2:00 PMTravel time = 45 hoursTrain arrival time:
2:00 PM + 45 hours = 2:00 PM - 3 hours (plus 2 days) = 11:00 AMConverting to Denver time:
11:00 AM - 2 hours = 9:00 AMAnswer:
9:00 AM
Step-by-step explanation:
find the value of x in each of the given triangles.
Answers
Answer:
x= 12°
Step-by-step explanation:
The angle measures in the triangle are given as;
A = 4x
B= 5x
C= 6x
The sum of angle measures in a triangle add up to 180°
Applying the statement in an equation as;
4x + 5x + 6x = 180°
15x = 180°
x= 180° / 15
x = 12°
Enjal paid Rs 15,255 for smart phone with 10% discount and 13% vat. Find marked price of that smart phone.
Answers
Answer:
The marked price of the smart phone is Rs 15,000.
Step-by-step explanation:
We proceed to explain step by step how to determine the marked price of the smart phone:
1) Divide the resulting price by the VAR factor:
[tex]C' = \frac{C''}{1 + \frac{r}{100} }[/tex] (1)
Where:
[tex]C''[/tex] - Resulting price, measured in rupees.
[tex]C'[/tex] - Price of the product after discount, measured in rupees.
[tex]r[/tex] - VAT rate, measured in percentage.
If we know that [tex]C'' = 15,255\,INR[/tex] and [tex]r = 13[/tex], then the price of the product after discount is:
[tex]C' = \frac{15,255\,INR}{1+\frac{13}{100} }[/tex]
[tex]C' = 13,500\,INR[/tex]
2) Divide the price of the product after discount by the discount factor:
[tex]C = \frac{C'}{1-\frac{r'}{100} }[/tex] (2)
Where:
[tex]C[/tex] - Marked price of the product, measured in rupees.
[tex]r'[/tex] - Discount rate, measured in percentage.
If we know that [tex]C' = 13,500\,INR[/tex] and [tex]r' = 10[/tex], then the marked price of the product is:
[tex]C = \frac{13,500\,INR}{1-\frac{10}{100} }[/tex]
[tex]C = 15,000\,INR[/tex]
The marked price of the smart phone is Rs 15,000.
A general arranges his students to form a perfect square.He finds that in doing so 60 soldiers were left out if total number of soldiers be 8160 find the number of soldiers in each row
Answers
Answer:
90
Step-by-step explanation:
Given that :
Number of soldiers = 8160
Number left out = 60
Result of arrangement gives a perfect square ;
Hence, the number of soldiers which makes up the arrangement will be ;
Total number of soldiers - number left out
8160 - 60 = 8100
Hence 8100 soldiers were used to form a perfect square ;
Number of soldiers in a row :
√8100 = 90
Hence, we have 90 soldiers in a row
Which of the following is an extraneous solution of StartRoot 4 x + 41 EndRoot = x + 5? x = –8 x = –2 x = 2 x = 8
Answers
Answer:
-8
Step-by-step explanation:
when you solve for x you get -8 but when you pkug it back in both sides are not equal, making it extranious
Answer:
A
Step-by-step explanation:
took test
help me find the answer lol
Answers
Answer:
First/Top graph.
Step-by-step explanation:
First, we need to solve the inequality for n:
-6n + 5 < 11 (Given)
-6n < 6 (Subtracted 5 on both sides)
n > -1 (Divided -6 on both sides)
NOTE: Whenever you multiply or divide by a negative number when dealing with inequalities, the sign switches.
Now that we know that n > -1, we need to look for a graph that has an open circle on the point -1 and goes in the right direction.
Therefore, the first graph is the correct answer.
please answer me fast plz
Answers
Answer:
find the classmark of each interval
forexample(140+150)/2(150+160)/2do the same up to (190+200)/2
then
draw a graph by using frequently (number of weeks) on y-axis against classmark on x-axis
A system of linear equations is shown below.
2x – 3y = 15
-2x + y = -1
Choose a method (Elimination or Substitution) to solve the system of equations. Solve and explain your process.
Answers
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
n=-3.1
Step-by-step explanation:
2n+3=-3.2
2n=-6.2
n=-3.1
2n+3 =-3.2
2n= -3.2-3
2n= -6.2
n= -3.1
Kevin bought 15 bananas for 4.50. How much does 1 banana cost?
Answers
Answer:
$0.30
Step-by-step explanation:
Divide 4.50 by 15.
The perimeter of the rectangle is 28 units.
What is the value of w?
Answers
Answer:
5 units
Step-by-step explanation:
im pretty sure i did the calculations right
Un camión admite en su interior 68,25 toneladas de patatas. Se cada caja de patatas pesa 22,75 Kg, ¿cuántas cajas de
patatas lleva el camión?
Answers
Answer:
El camión lleva 3000 cajas de patatas
Step-by-step explanation:
Proporciones
La capacidad de carga de un camión es de 68.25 Toneladas de patatas.
Como 1 tonelada es equivalente a 1000 Kg, expresamos la capacidad en Kg:
68.25 * 1000 = 68250 Kg
Cada caja de patatas pesa 22.75 Kg, luego el número de cajas que caben en el camión son:
68250/22.75 = 3000 cajas
El camión lleva 3000 cajas de patatas
solve the system of linear equations using subsitution. {y=2x-1. {y=x-8
Answers
Answer:Linear Algebra Examples ... Linear Algebra. Solve by Substitution y=x+3 , y=2x-1 ... Eliminate the equal sides of each equation and combine. ... Subtract 1 1 from 8 8 . ... The solution to the system of equations can be represented as a point.
Step-by-step explanation:
Evaluate the expression if s = 5 and t = 7.
4s +t
A.19
B.23
C.27
D.33
Answers
Answer:
C. 27
Step-by-step explanation:
4s + t
4(5) +7
20 + 7
27
Multiply: (√2x^3 +√12x)(2√10x^5 + √6x^2)
Answers
Answer:
C
Step-by-step explanation:
I just did the Assignment on EDGE2020 and it's 200% correct!
Also, heart and rate if you found this answer helpful!! :) (P.S It makes me feel good to know I helped someone today!!) :)
A ,B and C average is 45 ,b and C average is 40 then find b
Answers
This question is incomplete
Complete Question
The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is :
Answer:
31 kg
Step-by-step explanation:
From the above question:
A ,B and C average is 45.
Hence, the total values of A, B, C is calculated as:
A + B + C /3 = 45
A + B + C = 45 × 3
A + B + C = 135
Also,
B and C average is 43
The total values of B, C is calculated as:
B + C /2 = 43
B + C = 43 × 2
B + C = 86
A and B average is 40
The total values of A, B is calculated as:
A + B /2 = 40
A + B = 40 × 2
A + B = 80
Hence:
A + B + C = 135
B + C = 86
A + B = 80
Hence, we can solve for A, we substitute 80 for A + B
80 + C = 135
C = 135 - 80
C = 55kg
B + C = 86
B + 55 = 86
B = 86 - 55
B = 31 kg
The distance between two cities on a map is 3.5 centimeters. The map uses a scale in which 1 centimeter represents 20 kilometers. What is the actual distance between these two cities in kilometers?
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answers
Answer:
70 km
Step-by-step explanation:
[tex]\frac{3.5 cm}{x km}[/tex] = [tex]\frac{1cm}{20km}[/tex]
x = (3.5 cm × 20 km) ÷ 1 cm = 70 km
Answer:
70 km
Step-by-step explanation:
Attendance at baseball games
Answers
3.) T4.T4
Simply this for me to plz look at the pic
Answers
Answer:
t^8
Step-by-step explanation:
t^4 times t^4
exponents you add.
4 + 4 = 8
t^8
p l e a s e h e l p m e e e e
Answers
Answer:
i believe its c
Step-by-step explanation:
5x - 3(x - 2) - x math and stuff
Answers
Answer:
x + 6
Step-by-step explanation:
5x-3(x-2)-x
5x-3x+6-x
5x-3x-x+6
x+6
Calculate the marked price of a sweater purchased at Rs. 1075 allowing 14% discount. ( please do proper answer )
Answers
Answer: $1225.50
Step-by-step explanation:
Purchase price = $1075
Discount Percent = 14%
Discount = 14% × $1075
= 0.14 × $1075
= $150.50
Marked price = Purchase price + Discount
= $1075 + $150.50
= $1225.50
Choose all the factors of 5. (Check all that apply.)
4
1
3
2
5
plz i need help
Answers
Answer:
1 and 5
Step-by-step explanation:
only 1*5 equals 5
i need help with this ?
Answers
Step-by-step explanation:
Notice that 2⁰ = 1, 2¹ = 2, 2² = 4, 2³ = 8...
The exponential function is y = 2^x.
The bids in an online auction are represented by the arithmetic sequence shown below: right on explicit formula to represent the bids as an arithmetic sequence. What is the tenth bid
Answers
Answer:
10th bid is 292
Step-by-step explanation:
Here, as we can see, we have an arithmetic sequence and we want to calculate its 10th term
From the question, we can see that the first term a is 193
The common difference is 204-193 = 11
The formula for the nth term of a sequence is;
a + (n-1)d
In this case, n = 10
so we have ;
193 + (10-1)11
= 193 + 99 = 292
A park has a 3m tall tetherball pole, and a 6.8m tall flagpole. The lengths of their shadows are proportional to their heights.
Answers
Complete question is;
A park has a 3 meter tall tether ball pole and a 6.8 m tall flagpole. The lengths of their shadows are proportional to their heights.
Which of the following could be the lengths of the shadows?
Choose 2 answers from the options attached.
Answer:
Options B & D
Step-by-step explanation:
From the question, the proportional relationship between the height and shadow length is a direct proportionality. This means that an increase in the height, leads to an increase in the length of shadow and vice versa. Thus, the height to shadow length ratio is a constant.
Now, if we use x and y to denote length of shadow of tether ball pole and length of flagpole receptively, we will have;
3/x = 6.8/y
Let's make y the subject.
y = 6.8x/3
Looking at the options;
Option A: When x = 1.35 m, we have;
y = (6.8 × 1.35)/3 = 3.06 m
For Option B:
When x = 1.8 m,
y= (6.8 × 1.8)/3 = 4.08 m
For Option C:
When x= 3.75 m,
y = (6.8 × 3.75)/3 = 8.5 m
For option D:
When x = 0.6
y = (6.8 × 0.6)/3 = 1.36 m
For option E;
When x = 2,
y = (6.8 × 2)/3 = 4.533 m
From our calculations, the only values of y that correspond with the given value of y in the options are Options B & D
Hesperia Community Center is buying new seating for their building. They want to purchase a combination of stools and chairs. Stools cost $15 and chairs cost $25. The center cannot spend more than $1500.
Which inequality represents all possible combinations of s stools and c chairs?
15s+25c<1500
15c+25s≥1500
15c+25s≤1500
15s+25c≤1500
Answers
Answer:
15s + 25c is less than or equal to (the sign that’s pointing left with the aural sign under it) 1500
also d lol
Step-by-step explanation:
the stools are s and each stool cost 15$ same thing with chairs. the chairs are c and they cost 25$, they have to equal or be less than 1500$
Use the drop-down menus to complete each equation so the statement about its solution is true. I’ll give brainliest :))
Answers
Step-by-step explanation:
5 - 4 + 7x + 1 = 7x + 2.
If there are no solutions, then it is of the form 7x + c, where c is any real number besides 2.
If there is 1 solution, then it is of the form mx + c, where m is any real number besides 7 and c is any real number.
If there are infinitely many solutions, then it is of the form 7x + 2.
Jose worked 8 days for a total of 58.4 hours. If he worked the same number of hours each day, how many hours did he work in a day?
Answers
Answer:
7.3 or 7 hours.
Step-by-step explanation:
So i divided 58.4 by 8. And got 7.3.
8 x (7) = 56. So, 58 - 56 = 2. Put the decimal up. Now, 8 x (3) = 24. So, now you should have 7.3. But you could round it to 7. Depends.
Can you please list how I do this and what the answer is I need help on it and I’ve been struggling for 20 minutes now
Answers
First thing's first, 20/4=5. This portion of the equation would be completed first because D comes before A and S in PEMDAS. this leaves you with 17+5-5. 17+5=22, and 22-5=17.