Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each quadratic graph to its respective function,
-2(x - 1)(x + 3)
()
(3 + 3)(3 – 1)
(4)
(I - 3)(x + 1)
f(1) = 0.5(x + 6)(x - 2)
7(4) = 0.5(4 - 6)(x + 2)
2(x + 6) (3 - 2)
Answers
Answer: first graph is F(x) = 0.5(x-6) (x+2)
Second graph f(x) = (x - 3) ( x + 1 )
Third graph f(x) = -2(x - 1) (x + 3 )
Step-by-step explanation:
Type functions into Desmos graphing calculator and it will plot the points for you.
PLATO
The required quadratic function shown in the graph is
f(x)=0.5(x+2)(x-6).
Let us suppose the quadratic function
[tex]f(x)=a(x-\alpha )(x-\beta )[/tex]......(1)
where α and β are roots of the quadratic equation f(x)=0
What is a quadratic equation?Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where a≠0
From the shown graph we can see the roots of f(x)=0 as:
[tex]\alpha =-2[/tex]
[tex]\beta =6[/tex]
So, (1) becomes [tex]f(x)=a(x+2 )(x-6 )[/tex].....(2)
Since the graph is intersecting the y-axis at (0, -6)
So, (0, -6) will satisfy the (2)
So put x=0 and f(x)= -6 in (2)
[tex]-6=a(0-2)(0-6)[/tex]
[tex]a=\frac{-1}{2}=0.5[/tex]
So, [tex]f(x)=0.5(x+2 )(x-6 )[/tex]
Thus, the required quadratic function shown in the graph is
f(x)=0.5(x+2)(x-6).
To get more about quadratic equations visit:
https://brainly.com/question/1214333
Related Questions
Daniel and Audrey are reading the same book. At the beginning of the month, Daniel was on page 49 and Audrey was on page 22. Daniel will read 17 pages per day and Audrey will read 20 pages per day. Let
D
D represent the page of the book that Daniel is on at the end of
t
t days into the month, and let
A
A represent the page of the book that Audrey is on at the end of
t
t days into the month. Write an equation for each situation, in terms of
t
,
t, and determine what page Daniel and Audrey will be on on the day they are both on the same page.
Can you plz help me because it says that it’s wrong?
Answers
Answer:
202
Step-by-step explanation:
So it has to end in 2 because 20t+22 will always be a 2.
day1:
17x1+49=66
no 2
day2:
17x2+49=83
odd
day3:
D=100
no 2
day4:
odd
day5:
D=134
no 2
etc
keep adding 17 to D until you get one that ends in 2
D=202
A=202
Find the diameter of a circle with the given dimensions. 1. d = 6 cm
Answers
But the diamerter equals d, so 6.
Answer:
its 6
Step-by-step explanation:
because your finding the diameter.
4x4+4x3-9x2-x+2 = x-1
Answers
Answer:
x= 13/2
Step-by-step explanation:
multiply 4x4+4x3-9x2-x+2=x-1
calculate 16+12-18-x+2=x-1
move the terms 12-x=x-1
collect like terms calculate -x-x=-1-12
divide both sides -2x=-13
solution x=13/2
For a polygon with 10 sides, which equation below represents the sum of the interior angles in the polygon?
Answers
Answer:
I mean I don't know your options, but the answer is probably something like y=180x
Step-by-step explanation:
Answer:
1440
Step-by-step explanation:
Sum= (180)(8)=1440
Better:
Sum= (x-2)(180)
x represents the number of sides
So it would be
sum=(10-2)(180)
The answer then would be 1440
Mia found the volume of a rectangular prism to be 840 mm3. As she was telling her father about it. she remembered that the base had a length of 10 mm and a width of 12 mm, but she could not remember the height maybe there is a way you can find it by going backwards . her father suggested. Can you help Mia find the height of her prism. Explain your solution.
Answers
Answer:
H = 7mm
Step-by-step explanation:
Height of Prism
So to calculate the height, multiply L · H · W. But since there is no height we will multiply what is given and then divide the volume by the product. For this case, the volume of the prism is 840 and its length is 10 and its width is 12. Multiply 10 and 12 then dividing 840 by 120. The height of the prism is 7.
Solve
Volume if the rectangular prism is given by the formula
V = L · H · W
Length, Height, Width of the prism
L = 10mm H = 12mm Volume = 840mm³
10 · 12 · h = 840
∴ 840 ÷ 120 = 7
H = 7mm
A person invested $7,400 in an account growing at a rate allowing the money to
double every 6 years. How much money would be in the account after 4 years, to the
nearest dollar?
Answers
Using an exponential function, it is found that $11,747 will be in the account after 4 years.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem, considering the initial investment of $7,400, and the fact that it doubles every 6 years, the equation is given by:
[tex]A(t) = 7400(2)^{\frac{t}{6}}[/tex]
Hence the amount in 4 years is given by:
[tex]A(4) = 7400(2)^{\frac{4}{6}} = 11747[/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
#SPJ1
Answer:
Step-by-step explanation:
11747
3x + 2y = -2
2x - 2y = -18
Answers
Answer:
What’s your Question?
Step-by-step explanation:
The Oates family went out to
dinner. The price of the meal was
$33.95. They left a 15% tip.
What was the total cost?
Answers
Answer:
$39.04
Step-by-step explanation:
1.Approach
To solve this problem, one must first find the amount of tip that was left, then add the value to the cost of the meal. The amount of tip given can be found by dividing the percent value of the tip by (100) and then multiplying the result by the price of the meal.
2.Find the amount of tip
To find the amount of tip that was left, divide the percent value of the tip by (100). This technique converts the percent into a decimal. After doing so, multiply the result by the cost of the meal.
Tip as a percent: 15%
Tip as a decimal: 0.15
Amount of tip left:
33.95 * 0.15 = 5.0925
Round the result
~5.09
3.Find the total bill
Disincluding the tax, one now has to add the tip to the cost of the meal to find the total amount paid.
(tip) + (price)
= (5.09) + (33.95)
= (39.04)
Please look at photo and ignore already selected answer
Answers
Answer:
Question (A) firgue b is pallorgram
Question ( B) Only A is a rentengle
Question (C) is already right
Step-by-step explanation:
B. Shape A
C. Shape C
Mark as brainliest plz
Which known factor affects prices in the financial markets?
A-International stocks
B-Media speculation
C-Government policy
D-Foreign companies
I know it’s not A becuse I failed it on Frist try with that answer
Answers
Can someone please help me with this question?
Answers
Answer:
Answer is D hope this helps :)
Step-by-step explanation:
Suppose a scientist has 13 liters of acid and she needs 16 liters for an experiment.
How many more liters of acid does she need for the experiment?
Which equation best describes this situation?
a. 16+x=13
b. 13+x=16
c. x=13
d. x=16
Answers
please help me tysm if you do
Answers
Answer:
R=155°
S=25°
T=155°
Step-by-step explanation:
R + 25° =180°
R = 180° - 25°
R = 155°
(2) S + 155° =180°
S = 180° - 155°
S = 25°
T = R because t is opposite of r
I hope this was helpful
Adrian and Violetta gat a soccer ball. The soccer ball is size 4.They want it to be size 5.They know the diameter is 9 inches. Find the volume of the soccer ball.
Answers
Answer:
382 inches
Step-by-step explanation:
Given that :
The size of the soccer ball that Adrian and Violetta got is = 4
The diameter of the soccer ball is = 9 inches
Therefore, the radius of the soccer ball is, r = [tex]$\frac{9}{2}$[/tex] inches
So the volume of the soccer ball is :
[tex]V = \frac{4}{3} \pi r^3[/tex]
[tex]V = \frac{4}{3} \times \frac{22}{7} \times \left(\frac{9}{2}\right)^3[/tex]
[tex]V = \frac{4}{3} \times \frac{22}{7} \times \frac{9}{2} \times \frac{9}{2} \times \frac{9}{2}[/tex]
V ≈ 382 inches
GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
1
Answers
Answer:
(5,-1) Hope It Help
Step-by-step explanation:
Brainliest please
(13x + 12x) divided by 4 = 10
What is x
Answers
Answer: x is 8/5
Step-by-step explanation:
Answer:
x = [tex]\frac{8}{5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{13x+12x}{4}[/tex] = 10 ( multiply both sides by 4 to clear the fraction )
25x = 40 ( divide both sides by 25 )
x = [tex]\frac{40}{25}[/tex] = [tex]\frac{8}{5}[/tex]
Can someone help me with these two charts please
Answers
A large candy bar was 102 calories. The smaller candy bar has 18 percent less
calories. How many calories does the smaller candy bar have?
Answers
Answer:
89 I think
Step-by-step explanation:
my bad if I'm wrong I bearly woke up
Evaluate 12÷s−∣−2∣ if s=0.6
Answers
Answer:
s=20 divided by 12
Step-by-step explanation:
A car travels 30 km in 5.5 hours and 400 km in 5.5 hours find the average speed of the car during the entire journey
Answers
Answer:
This is your answer
Answer: 39.09 km per hour average
Step-by-step explanation:
add total distance and divide by total time
(30+400)/(5.5+5.5)
430/11=39.0909
A line has an unlimited amount of points on it. Why do you think this is true?
Answers
Answer:
bc if it has no points it will go on infinitely
Step-by-step explanation:
can someone help me with this
Answers
Answer:
a) 256
b) 24x³z*5 (wouldnt let me make it z to the fifth for some reason lol but)
c)282429536481x∧20
Step-by-step explanation:
In a right triangle, if sin 0 = 8/17 what is cos 0 explain?
Answers
Answer:
We have sin² x + cos² x =1 for all real x.
Therefore, sin² x = 1 – cos² x = 1 – (8/17)² = 1 – 64/289 = 225/289 = (15/17)².
However, remember that if x² = a², then x can be +a or –a.
Therefore, sin x can be either –15/17 or +15/17.
Everyone but Anirban so far has forgotten the negative solution.
Step-by-step explanation:
Given that sinθ=817 and cosθ<0 , we have: cosθ=−√1−sin2θ. cosθ=−√1−(817)2. cosθ=−√1−64289.
Peter is 8 years younger than Jonne. In 5 years time, Jonne will be twice as old as Peter. How old is Peter now?
Answers
Answer:
Age of Peter = 3 year
Step-by-step explanation:
Given:
Peter is 8 years younger than Jonne
Assume;
Age of Jonne = a
So,
Age of Peter = a - 8
After 5 years,
2[a - 8 + 5] = a + 5
2a - 6 = a + 5
a = 11
Age of Jonne = 11
Age of Peter = 11 - 8
Age of Peter = 3 year
Sam rented a truck for one day. There was a base fee of $14.95, and there was an additional charge of 97 cents for each mile driven. Sam had to pay $265.21 when he returned the truck. For how many miles did he drive the truck?
Answers
Answer:
258 miles
Step-by-step explanation:
y = # miles truck driven
m = each mile driven
y = 14.95 + 0.97m
265.21 = 14.95 + 0.97m
250.26 = 0.97m
m = 258
How much netherite do i need to make a full beacon again?
Sorry i know this is random i just really wanna know
Answers
Answer:
5,904 scraps
Step-by-step explanation:
36 by 164 blocks
Which of the following points has coordinates that are 5 horizontal units from point A?
A. left parenthesis 3 comma 2 right parenthesis
B. left parenthesis 3 comma 7 right parenthesis
C. left parenthesis negative 2 comma 7 right parenthesis
D. left parenthesis 5 comma 2 right parenthesis
Answers
Answer:
A. left parenthesis 3 comma 2 right parenthesis
Step-by-step explanation:
It's correct 100%
NEED HELP ASAP
Charlie and Lupita both opened bank accounts and deposited $25 each. Lupita used her debit card to buy lunch for $10. Charlie used his debit card to buy a new video game for $50. Which of the following statements about their accounts is NOT true?
Charlie owes the bank more than Lupita has in her account.
The value of Charlie's account is greater than that of Lupita's.
The money in Lupita's account is not enough to pay off Charlie's debt.
Even if Charlie were to add $25 to his account, its value would still be less than Lupita's.
Answers
Answer:
B
Step-by-step explanation:
Which ordered pair is not in the solution set of y > 2x + 1
A. (1, 4)
B.(1, 6)
C.(3, 8)
D.(2, 5)
Answers
Answer:
A. (1, 4)
Step-by-step explanation:
Sana makatulong
If the compound interest paid for rupees 4000 is rupees 420 then find the
amount paid at the end of the time period
Answers
Answer:
[tex]Amount = Rs4420[/tex]
Step-by-step explanation:
Given
[tex]Principal = Rs4000[/tex]
[tex]Interest = Rs420[/tex]
Required
Determine the amount paid
This is calculated as:
[tex]Amount = Principal + Interest[/tex]
[tex]Amount = Rs4000 + Rs420[/tex]
[tex]Amount = Rs4420[/tex]