Determine the quadratic curve of best fit for the data. Then estimate what the value of will be when = −4. {(−3,2), (0,5), (1,7.3), (−1,3.3), (−6,5), (−7,7.3)} Answer choices 4.3 5.3 3.3 2.3
Answers
Answer:
The value of 'y' when x = -4 is 2.3
Step-by-step explanation:
Curve of best fit can be found by plotting the points on MS Excel and drawing a curve that goes through the points as shown in the attached graph
The equation that approximate the curve from which the y-value at a x-value of -4 can be estimated is found as follows
The general equation for a quadratic equation is y = a·x² + b·x + c
Therefore, we get;
2 = a·(-3)² + b·(-3) + c
2 = 9·a - 3·b + c
5 = 0·a + 0·b + c
5 = c
7.3 = 1·a + 1·b + c = a + b + 5
7.3 = a + b + 5
2.3 = a + b
2 = 9·a - 3·b + 5
-3 = 9·a - 3·b
Solving gives;
a = 13/40, b = 79/40
The equation of the quadratic curve is therefore;
y = (13/40)·x² + (79/40)·x + 5
When x = -4, we get;
y = (13/40)·(-4)² + (79/40)·(-4) + 5 = 2.3
When x = -4, y = 2.3
Plotting the points on MS Excel we find from the attached graph that the estimated value of 'y' when x = -4 is as calculated (2.3).
Related Questions
A tank that holds 6000 gallons of water may be filled by two pipes. One pipe pours water into the tank at the rate of 80 gallons per minute. The other fills the tank at the rate of 120 gallons per minute.
(a) If the pipes run simultaneously, how long will it take to fill the tank?
(b) The small pipe is opened and water is run into the tank for a certain length of time. Then this pipe is shut off and the large one is used to finish filling the tank. How long was each pipe used if it took 60 minutes to fill the tank?
(c) The large pipe alone is opened for a certain time and then both pipes together are used to finish filling the tank. If it takes 34 minutes to fill the tank in this manner, how long was the small pipe used?
Answers
Answer:
Below.
Step-by-step explanation:
Working together the rate is 80 + 120 = 200 gallons per minute.
(a) Time to fill tank = 6000 / 200 = 30 minutes.
(b) Let length of time the small pipe was used be x minutes , the the large pipe was used for is 60-x minutes.
Volume delivered by small pipe = y gallons, and by large pipe = 6000-y gallons.
Rate for small pipe = 80 = y/x.
Rate for large pipe = 120 = (6000-y) / 60-x.
y/x = 80
(6000-y) / 60-x = 120
From first equation y = 80x so:
6000 - 80 x = 7200 - 120x
40x = 1200
x = 30
So time for small pipe = 30 and time for large on = 30 minutes also.
C. In a similar way to part B:
y/x = 120
(6000-y) / 34 - x = 200
(6000-120x) / 34 - x = 200
6000 - 120x = 6800 - 200x
80x = 800 so the large pipe on its own took 10 minutes and the small pipe was used for 34 - 10 = 24 minutes.
please help i will help you
Answers
Jerry had 45 tickets for games at a carnival.he used 1/3 of the tickets to play ball-toss game. He used 2/5 of the tickets to play the ring -toss game,he saved the rest for the following day. How many tickets did jerry have after playing these games?
A:19
B:12
C:21
D:18
Answers
45 - 15 = 30
30 / 5 = 6
6 x 2 = 12
30 - 12 = 18
The answer is D:18
The cost for the raw materials of marble countertops, can be represented by the function , where is the area of the countertops. The retail markup, can be represented by the function. Which function can be used to find the marked-up price of a marble countertop depending on the area?
Answers
Answer:
[tex]m(c(a)) = 4.8875a[/tex]
Step-by-step explanation:
The missing parameters are:
[tex]c(a) = 4.25a[/tex] --- Cost of marble countertops
[tex]m(c) = 1.15c[/tex] --- Cost of retail markup
Required
The cost of marked up price
This implies that we calculate m(c(a))
We have:
[tex]c(a) = 4.25a[/tex]
[tex]m(c) = 1.15c[/tex]
[tex]m(c) = 1.15c[/tex] can be written as:
[tex]m(c(a)) = 1.15*c(a)[/tex]
Substitute: [tex]c(a) = 4.25a[/tex]
[tex]m(c(a)) = 1.15*4.25a[/tex]
[tex]m(c(a)) = 4.8875a[/tex]
Hence, the cost of marked up price is: [tex]m(c(a)) = 4.8875a[/tex]
HELP PLEASE 24 POINTS
Answers
Answer:
reflection
Step-by-step explanation:
it is being REFLECTED over the x axis so this makes it a reflection
pls mark brainliest I need it
Please help me out
Find the area .
Answers
Answer:
its27.54 8.1×3.4 =27.54 base×height
como ordeno de menor a mayor el siguiente polinomio : x^4 y^4+x^4 y^3-x^6 y^2+x^8 y+y^5
Answers
Answer:
Un polinomio se ordena de forma ascendente con respecto a una variable, si los exponentes de esta variable aparecen de menor a mayor los términos del polinomio. Un polinomio se ordena en forma descendente con respecto a una variable cuando los exponentes de la variable aparecen de mayor a menor.
Le he proporcionado un cuadro a continuación, espero que ayude :)
4/5 - 3/16
A) 49/80
B) 54/6
C) 3/19
Answers
Answer: A, let me show you how!!!
4/5 - 3/16 = 49/80
4/ 5 - 3/ 16 = 4 · 16/ 5 · 16 - 3 · 5/ 16 · 5 = 64/ 80 - 15/ 80 = 64 - 15/ 80 = 49/ 80
Step-by-step explanation:
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(5, 16) = 80. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 16 = 80. In the next intermediate step, the fraction result cannot be further simplified by canceling.
this took me forever to type pls give me brainlyest
F(x)=400-4/5x find the function and intercepts
Answers
Answer:
The x-intercept is (500, 0); the y-intercept is (0, 400).
Step-by-step explanation:
F(x)=400-4/5x is already a function: a function of x.
To find the y-intercept, set x = 0 and calculate F(0):
F(0) = 400 - 0 = 400; the y-intercept is (0, 400).
To find the x-intercept, set F(x) = y = 0 and solve for x:
0 = F(x) = 400 - (4/5)x, or (4/5)x = 400. To isolate x, multiply both
sides by (5/4): x = (5/4)(400) = 500. The x-intercept is (500, 0).
x^{2} -81 find the diffrence of squares
Answers
Answer:
yuygiiyc
ijcyycyccjc
c
ycyi
cyi
chicihihcñicyñi.hcjck kh.i .h.icy
Step-by-step explanation:
bgvghuhukvkbkkk
What is the combined area of the left and right faces of the prism? ___in. 2
Answers
Answer: 72
Step-by-step explanation:
Answer:
72 in.2
Step-by-step explanation:
Did it :)
Which choice shows the corresponding size as equal?
Answers
Answer: B
Step-by-step explanation: i don't really know but it looks correct
\angle B=∠B=angle, B, equals ^\circ ∘ degrees Round your answer to the nearest hundredth.
ANSWER IS:∠B=56.25
Answers
Answer:
<B is 53.13degrees
Step-by-step explanation:
Find the diagram attached
Given
Opposite side= 4 (side facing <B)
Adjacent side = 3
Required
<B
According to SOH CAH TOAS identity
tan theta = opp/adj
tan<B = 4/3
<B = arctan(4/3)
<B = arctan(1.3333)
<B = 53.13 degrees
Hence the angle <B is 53.13degrees based on the diagram
Find the surface area of the pyramid.
Answers
Answer:
129.6
Step-by-step explanation:
A= 1/2 bh
=7.8 x 9 x 1/2
= 35.1
A= 1/2 bh
=7x 9 x 1/2
= 31.5
31.5 x 3
= 94.5
Add
35.1 + 94.5 = 129.6
need it done quickly
Answers
Answer:
363636
Step-by-step explanation:
756 x 481
Layla is going to invest $5,200 and leave it in an account for 15 years. Assuming the interest is compounded monthly, what interest rate, to the nearest tenth of a percent, would be required in order for Layla to end up with $13,800?
Answers
Answer:
6.5%
Step-by-step explanation:
I just know
The cost for a ticket at the movie theater is $13. Students get a 9% discount taken off the price of a ticket. How much does the student ticket cost after the discount is taken off?
Explain and make sure it’s right for BRAINLIST.
Answers
so then you go $13 - $1.17 and your answer is $11.83
please help I will; really appreciate it
Answers
Answer:
x+ 51+41=180°
X= 180-92
x= 88
Thus this is your answer.
Answer:
H < I < J
Step-by-step explanation:
H + I + J = 180
41 + 51 + J = 180
92 + J = 180
J = 88
evaluate the following: 18+3 |6-25| -11
Answers
Answer:
what is Step-by-step explanation: 18+3 |6-25| -11
GIVING BRAINLIEST AND EXTRA POINTS!!!! PLS HELP :(
Which images below are scalene triangles?
A) Triangles A and D
B) Triangles B and D
C) Triangles A and C
D) Triangles C and D
Answers
Answer:A is the right
Someone help and plz make sure it’s right? :)
Answers
Answer:
Right
Step-by-step explanation:
It is right because every angle with 90° degree or with these shapes are called right angled traingle.
if it helps don't forget to like and mark me
A scientist planted seeds in 4 sections of soil for an experiment. Not all of the
seeds grew into plants. After 20 days, the scientist counted the number of
plants in each of the 4 sections. The results are shown in the table.
• Use the data in the table to determine approximately how many plants
grew per square foot.
• Explain or show how you determined your approximation.
• Let y be the number of plants expected to grow in x square feet. Write an
equation the scientist could use to model the relationship between y and x.
Answers
Answer:
I think you would multiply 20 × 4 and the answer would be 80 that the scientist counted the number of plants in each 4 sections after 20 days.
The number of plants per square foot will be; 48.
Given that scientist planted seeds in 4 sections of soil for an experiment. Not all of the seeds grew into plants. After 20 days, the scientist counted the number of plants in each of the 4 sections.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
The number of plants per square foot:
= (25 × 13) + (100 × 38) + (125 × 47) + (150 × 62) / (25 + 100 + 125 + 150)
= (325 + 3800 + 5875 + 9300) / 400
= 48.25
Thus, it was illustrated by the number of plants and size of sections.
Thus, the number of plants per square foot will be 48.
To learn more about square foot refer to:
brainly.com/question/24657062
#SPJ2
PLZZ HELP!!!! ASAP PLZ!!!!
XTRA POINTS!!!
Answers
Answer:
38.1 cm²
Step-by-step explanation:
area of full circle = π6² = 113.04 cm²
area of 150° segment = (150/360)(113.04) = 47.1 cm²
triangle base = sin 75° x 6 x 2 = 11.59
triangle height = cos 75° x 6 = 1.553
area of triangle = 1/2(11.59)(1.553) = 9 cm²
150° segment - triangle = 47.1 - 9 = 38.1 cm²
PLEASE SOMEONE HELP ME ASAP!!!!! I’ll mark brainliest
Answers
Answer:
the first choice
Step-by-step explanation:
the first number is the tens place and the second number is the ones place so:
0,0,11,15...
Question 1
Form the largest 5-digit number using the digits 9, 2,5, 4, 7 only once
a. 97542
b. 97524
c. 97425
d. 24579
Answers
Answer:
97542
Step-by-step explanation:
Write all the numbers in descending order
hope it helps
Answer: 97542
Step-by-step explanation: go in order of largest to smallest number as starting with a bigger number will let you end with a bigger number
In 2000 there were about 2172000 farms in the United States twenty four thousand of the farms were in South Carolina what percent of the farms were in South Carolina
Answers
Answer:
the percentage of the farms were in SOuth caroline is 1.10%
Step-by-step explanation:
The computation of the percentage of the farms were in SOuth caroline is shown below:
= NUmber of farms in south carolina ÷ number of farms in united states
= 24000 ÷ 2172000
= 1.10%
Hence, the percentage of the farms were in SOuth caroline is 1.10%
We simply used the above formula so that the percentage could come
Which one is the answer, you may say the color if you want
Answers
Point A'(2,3)A
′
(2,3)A, prime, left parenthesis, 2, comma, 3, right parenthesis is the image of A(3,-4)A(3,−4)A, left parenthesis, 3, comma, minus, 4, right parenthesis under a translation.
Determine the translation.
Use non-negative numbers.
A translation by
units to the
and
units
Answers
Answer:
Step-by-step explanation:
1 unit left and seven units up. I got the answer right on Kahn
3x + y + 2x + 2y – 3
Simplify Expressions by Combining Like Terms
Answers
PLEASE HELP NO LINKS OR FILES
1. When the outcome of one even has NO effect on the outcome of the other is called... A. likely events
B. dependent events
C. independent events
2.Lucy picks a marble at random. Without putting the first marble back, Lucy picks another marble at random. This is called...
A. independent probability
B. random ratios
C. dependent probability
D. natural occurrence
3. A bag contains 9 green marbles and 12 pink marbles. One marble is chosen at random and returned to the bag. Then, a second marble is chosen at random.
What is the probability that both marbles chosen will be green?
A. 6/9
B. 9/49
C. 3/4
D. 81/122
Answers
Answer:
1c
2c
3b
Step-by-step explanation:
