Learning Task 1. Tell whether each picture models a quadratic function or not.
Justify your answer.
GIVEN
Answer
WHY?
Answers
The picture for this question is given below.
Answer: All of them models quadratic function.
Step-by-step explanation: A quadratic function is of the form
f(x) = ax² + bx + c, with coefficient a≠0.
This function has a U-shape graphic called parabola. It has a vertex, i.e., a point where the curve changes, which is "classified" as minimum, if the parabola opens up; and as maximum, if the parabola opens down.
The y-intercepts are the points where the curve touches the y-axis and x-intercepts, if they exist, are the roots of the function.
The three pictures below shows three U-shaped curves opening down. This means the three parabolas are representation of 3 different quadratic functions, with a 3 vertex points that are maximum.
Quadratic functions are functions that follow a uniform curve path.
The first picture does not represent a quadratic function, while the other two pictures model a quadratic function.
To identify a quadratic function, we make use of the following observations.
The function must follow a uniform curved pathThe function must have a vertex i.e. maximum or a minimumThe function must be represented as: [tex]\mathbf{y = ax^2 + bx + c}[/tex]From the question (see attachment for pictures), we can see that:
The first picture models several quadratic functions, because several uniform curves are represented on the picture.The second and the third picture model exactly one quadratic function, because both pictures have a uniform curve, and they have a single maximum point.Hence, the first picture does not represent a quadratic function, while the other two pictures model a quadratic function.
Read more about quadratic functions at:
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Related Questions
What is the equation of a line that is parallel to the line 4x-2y=10 and goes through the point (3,12)
Answers
Answer:
4x - 2y = -12
Step-by-step explanation:
4(3) - 2(12) = b
12 - 24 = b
-12 = b
4x-2y = -12
1
Find the missing side
in the similar figures below:
30
15
24
25
.X
Ms. Price
Mr. Clark
Mr. Smith
A) 30
B) 34
C) 36
D) 38
E) 10
Mrs. Wilson
Mrs. White
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im not sure ask a professional
Alonso multiplied the fractions 312and (−414) and got a product of −1218. Describe the mistake that Alonso made. What is the correct product?
CAUTION: I NEED HELP!!!!!!
Answers
A problem is listed below. Identify its type.
Julie's parents' 25th anniversary is in 2 years. She'd like to give her parents a vacation package for their anniversary. She anticipates the vacation package will cost her $2000. An account at her bank pays 5% per year compounded monthly. How much does she need to deposit today in this account, so that she can buy the package deal for her parents' anniversary?
a) Simple Interest
b) Future Value with compound interest
c) Future Value with simple interest
d) Effective Rate
e) Present Value with compound interest
Answers
Answer:
e) Present Value with compound interest
Step-by-step explanation:
in order to determine how much money does Julie need to deposit we have to use the present value formula with compound interest:
present value = future value / (1 + i/12)ⁿ
future value = $2,000i/12 = 5%/12 = 0.4167%n = 24$2,000 = present value x (1 + 0.4167%)²⁴
present value = $2,000 / (1 + 0.4167%)ⁿ = $1,810.05
you can also calculate it using the future value formula, but you will end with the present value formula:
future value = present value x (1 + i/12)ⁿ
present value = future value / (1 + i/12)ⁿ ⇒ you are adding 1 more step
you could also calculate it using the present value formula and the effective annual rate:
effective rate = (1 + 0.05/12)¹² - 1 = 5.1162%
present value = $2,000 / (1 + 5.1162)² = $1,810.05 ⇒ but again you are just adding more steps into the process
I NEED HELP ASAP!!! PLEASE REPLY!!
Answers
Answer:
Both are correct
Step-by-step explanation:
Answer: both are correct
Step-by-step explanation:
Both are correct
you can use either way to solve it.
On a class trip to the aquarium, there is 1 adult for every 7 students. If 44 students go on the field trip, how many adults are going on the field trip?
Answers
Answer:
There would be at least 6 adults
Step-by-step explanation:
7 students-1 adult
7 students-1 adult
7 students-1 adult
7 students-1 adult
7 students-1 adult
7 students-1 adult
2 students-0 adults
What are the domain and range of the function represented by the set of
ordered pairs?
{(-6, 12).(-3,-2), (1,0), (14,-4)}
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Domain = { -6 , -3 , 1 , 14 }
Range = { -4 , -2 , 0 , 12 }
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Thus the correct answer is (( B )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Here, the domain and range of the function represented by the set of ordered pairs {(-6, 12).(-3,-2), (1,0), (14,-4)} is
{-6, -3, 1, 14} and {12, -2, 0, -4} respectively.
What is range?We know that the range refers to all possible values of y, and the domain refers to all possible values of x.
How to solve it?For (-6, 12), the x value = -6 and the y value = 12.
For (-3, -2), the x value = -3 and the y value = -2.
For (1, 0), the x value = 1 and the y value = 0.
For (14, -4), the x value = 14 and the y value = -4.
So, the domain is {-6, -3, 1, 14} and the range is {12, -2, 0, -4}.
Therefore the domain and range of the function represented by the set of ordered pairs {(-6, 12).(-3,-2), (1,0), (14,-4)} is
{-6, -3, 1, 14} and {12, -2, 0, -4} respectively. So, option B is correct.
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Consider W=4(cos(pi/2)+ isin(pi/2)) and Z=3(cos(3 pi/2) + isin(3 pi/2)). What is W + Z expressed in polar form?
Answers
Answer: The answer is b!!
Step-by-step explanation: I just took the test!
Answer:
B
Step-by-step explanation:
Ed2021
11 coommon factor of
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Adam, Barry, and Charles visited a small farmers market last Saturday. Adam purchased 3 dozen eggs, 1 wheel of cheese, and 5 pounds of potatoes. Barry bought 1 dozen eggs and 10 pounds of potatoes, while Charles purchased 2 dozen eggs and 2 pounds of potatoes. If Adam’s bill was $38.25, Barry’s $36.50 and Charles’ $17.20, how much did a dozen eggs, a wheel of cheese and a pound of potatoes cost?
Answers
Answer:
Dozen eggs = $5.5
Wheel of cheese = $6.25
Pound of potatoes = $3.1
Step-by-step explanation:
Let the cost
Dozen of egg = x
Wheel of cheese = y
Pound of potato = z
We will form linear equations using the information given in the question
Adam purchased 3 dozen eggs, 1 wheel of cheese, and 5 pounds of potatoes
3x + y + 5z = 38.25 ................(1)
Barry bought 1 dozen eggs and 10 pounds of potatoes
x + 10z = 36.50 ............(2)
Charles purchased 2 dozen eggs and 2 pounds of potatoes
2x + 2z = 17.20 .................(3)
solving 2 and 3
x = $5.5 and z = $3.1
substitute these values in equation 1
we get
y = $6.25
The cost
Dozen eggs = $5.5
Wheel of cheese = $6.25
Pound of potatoes = $3.1
Solve for s.
8 - 4s = s + 13
Answers
Answer:
s= -1
Step-by-step explanation:
Each line represents a proportional relationship.Write an equation for each line. Show your work.
Answers
Answer:
do u think u can zoom in more on the graph
Step-by-step explanation:
Answer:
can you zoom more in the graph?
Step-by-step explanation:
A car has 15 gallons of gas in its tank. The car travels 35 miles per gallon of gas. It uses 1/35 of gas to go 1 mile. How much gas dose the car use to 100 miles? Show your reasoning.
Answers
Answer:
um......I think 2 figure it out....
Step-by-step explanation:
A car has 15 gallons of gas in its tank. The car travels 35 miles per gallon of gas. It uses 1/35 of gas to go 1 mile.
what is 1/2 times 5/4?
Answers
Answer:
1 x 5 = 5
2 x 4 = 8
5/8 is the answer.
Answer:
5/8 or 0.625
Step-by-step explanation:
1/2 * 5/4
= 5*1/4*2
=5/8
Translate this algebraic phrase into an algebraic expression. "4 less than the height"
Answers
Answer:
h - 4
Step-by-step explanation:
Let "h" represent the height. You would subtract the height by 4.
h - 4
Louisa used Downtown Taxi, which charges $2 for the first mile and $1.10 for each additional mile. Pietro used Uptown Cab, which charges $5 for the first mile and $0.95 for each additional mile. They paid the same amount and traveled the same distance. How far did they travel?
Answers
Answer: 21 miles
Step-by-step explanation:
2/5 divided by 2 1/10
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Answer:
4/21
Step-by-step explanation:
first you need to make them both fractions, not mixed numbers. so it would be 2/5 divided by 21/10. then you flip the second number so you can multiply it : 2/5 * 10/21. 5 and 10 are divisible by 5 so you can cross 5 out and make a 1 and cross 10 out and make a 2: 2/1 * 2/21. then multiply and you get 4/21!
hope this helps!
Who voted on red 。 • ﾟ 。 .
. . 。 。 .
. 。 ඞ 。 . • •
ﾟ Red was not An Impostor. 。 .
' 1 Impostor remains 。
ﾟ . . , . .
Answers
Answer:
i used to play that
Step-by-step explanation:
Blacks sus
A= Round your answer to the nearest hundredth. 5 B 7 ? A
Answers
Answer:
35.54Step-by-step explanation:
Use tan-1 (5÷7)
Use tan()to get your answer
In general, how tall are giraffes? stat or not stat
Answers
Answer:
18 feet tall
Giraffes are the tallest land animals. Female giraffes are up to 14 feet tall and weigh up to 1,500 pounds. Meanwhile, males are up to 18 feet tall and can weigh 3,000 pounds.
Meet Forest, the tallest giraffe in the world
(CNN) A male giraffe living in a zoo in Australia has been crowned the tallest of them all, hitting a giddy 5.7 meters (18 feet, 8 inches). Isn't that cool?!
( just so you know some of this information was with the help of google)
Brainliest?
Out of 85 adults selected randomly from one town, 63 have health insurance. Find a 90% confidence interval for the true proportion of all adults in the town who have health insurance.
a) find sample proportion P with hat on top.
b) use z subscript alpha divided by 2 end subscript equals 1.645 space spaceto find margin of Error for 90% confidence interval.
c) Find the confidence interval.
d) Interpret your interval
show work. round all numbers to at least 3 decimal places. you don't need to explain in words where you get the numbers(unless it is easier for you than writing in math notations). you can only write in math notations.it should be clear which function you are using.(normalcdf, invnorm. invt,..)
Answers
Answer:
oh shi sorry I wish I could help but I'm stupid
FIrst to answer gets brainliest no trolls
Answers
Answer:
Step-by-step explanation:
Division of liked variables
Answer:
B
Step-by-step explanation:
fractions = division
Sorry if I am wrong!!!!!!!!!!!!!!!!! Can I be brainliest?
A water hose at a fire station leaked 120 gallons of
water. Water leaked at a rate of 15 gallons every 4
minutes. At this rate, how many minutes did it take
all 120 gallons of water to leak from the water
hose?
sum1 help ASAP
Answers
Answer:
Step-by-step explanation:
This is a proportion question
15 gallons / 4 minutes = 120 / x Cross multiply
15x = 4 * 120 Combine the right
15x = 480 Divide by 15
x = 480/15
x = 32 minutes
N+ 5/16=-1
:)))) ASAP
Answers
Answer:
Step-by-step explanation:
16N+5=-16 (multiply by 16)
16N=-21 (subtract 5)
N=-21/16 (divide by 16)
Please mark brainliest Hope this helps :D
Round 859, 344 to the nearest thousand.
Answers
Answer: 860,000
Step-by-step explanation:
Since the nearest thousand is mostly higher then most of the numbers in the number line, we know that 9 is greater. It's close to 60,000 if we remove the 8. Therefore, the answer is 860.000
When the data from an empirical study are consistent with a hypothesis, we say that the hypothesis is
Answers
Answer:
...correct.
Step-by-step explanation:
The hypothesis would be correct due to the empirical evidence and that it has been studied that way.
Hope this Helps!!
:D
2x29(4x3)= what is the answer to this problem
Answers
Answer:
10,092
Step-by-step explanation:
841×12
Last year, a 1.6-gallon container of ice cream sold for $5.99. This year, the same ice cream, now in a 1.2-gallon container, sells for the same price of $5.99. By what percentage was the weight of a container of the ice cream reduced? A. 75% B. 25% C. 60% D. 40%
Answers
Answer:
25% is the answer
Step-by-step explanation:
From last year to this year, the weight of the container is reduced by
B. 25%
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Last year, a 1.6-gallon container of ice cream sold for $5.99. This year, the same ice cream is now in a 1.2-gallon container.
So, The amount of icecream increased this year is,
= (1.6 - 1.2) gallons.
= 0.4 gallons.
Now to obtain percentage change we'll divide the net amount change by the original amount and multiply it by 100% which is,
= (0.4/1.6)×100%.
= 0.25×100%.
= 25%.
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How did they figure out the answer was 4 for the fraction problem solving. There are 36 people in the Newtown Hiking Club. 2/3 of the club must vote yes if the club is to hike the Northern Trail. 20 people have voted yes. How many more yes votes are needed?
Answers
Answer:
Step-by-step explanation:
PLEASE HELP ME ASAP
i’ll give you brainliest if it’s correct please help me :(
TWO PART QUESTION
Emilio throws a marshmallow into the air from his balcony. The height of the marshmallow (in feet) is represented by the equation h= -16(t-1/4)^2+49, where T is the time (in seconds) after he throws the marshmallow. What is the maximum height of the marshmallow?
SECOND PART
Emilio throws a marshmallow into the air from his balcony. The height of the marshmallow (in feet) is represented by the equation h= -16(t-1/4)^2+49, where T is the time (in seconds) after he throws the marshmallow. How long after Emilio throws the marshmallow does it reach its maximum height?
Answers
Answer:
part 1 = 49
part 2 = .25 seconds
Step-by-step explanation:
hope that can help!