Which polynomial function could be represented by the graph below?
On a coordinate plane, a parabola opens up. It goes through (2, 0), has a vertex at (3, negative 3), and goes through (4, 0).
Answers
Answer:
f(x) = 3(x - 3)^2 - 3Step-by-step explanation:
Let the base function be
f(x) = ax^2It has the vertex at (3, -3), so it is translated 3 units right and 3 units down:
f(x) = a(x - 3)^2 - 3It has zero's at (2, 0) and (4, 0)
Substitute and solve for a:
a(x - 3)^2 - 3 = 0a(2 - 3)^2 = 3a = 3or
a(4 - 3)^2 - 3 = 0a = 3So the function is:
f(x) = 3(x - 3)^2 - 3See the attached
Answer:
f(x) = 3x2 – 18x + 24
Step-by-step explanation:
just took the test
Related Questions
8, 12, 18, ... whats the 6th term.
Answers
Answer:
50
Step-by-step explanation:
HURRY HAS TO BE DONE BY 10:50 Fill in the blank with the correct number.
The number ________
is divisible by 3, 4, 5, and 9.
OA) 24
OB) 45
OC) 90
OD) 180
Answers
Answer:
i think its 180
Step-by-step explanation:
A line passes through the point (-9,8) and has a slope of -4/3. Write an equation in point slope form for this line
Answers
Answer:
y-8=-4/3(x+9)
Step-by-step explanation:
y-y1=m(x-x1)
y-8=-4/3(x-(-9))
y-8=-4/3(x+9)
Montana is known for having very chilly winters. One night, the temperature was falling by 2 degrees Fahrenheit each hour. At sunset, the temperature was -5 degrees Fahrenheit. How many hours will it take for the temperature to reach -19° F?
Answers
Answer:
7 hours
Step-by-step explanation:
We are given that
At sunset, the temperature=-5 degrees Fahrenheit
Each hour, temperature falling=2degrees Fahrenheit
We have to find time taken to reach the temperature -19° F.
Let x be the time time taken to reach the temperature -19° F
According to question
[tex]-5+x(-2)=-19[/tex]
Where we taking 2 negative because temperature decreases.
[tex]-5-2x=-19[/tex]
[tex]-5+19=2x[/tex]
[tex]14=2x[/tex]
[tex]x=\frac{14}{2}[/tex]
[tex]x=7[/tex]
Hence, it will take 7 hours for the temperature to reach -19° F.
The perimeter of the square below is 116 m. What is the value of a?
5a +9
Answers
(5a+9)4=116
20a+36=116
20a=116-36
20a/20=80/20
a=4
Anthony works at a company where he gets a set 5% raise every year. If his current salary is
$71,000, what will his salary be in 13 years?
If necessary, round your answer to the nearest cent.
Answers
5% of 71,000 is 3,550, 3,550 c 13(years) = 46,150(what the company will add to his salary) 71,000 + 46,150 = 117,150
5. A number m is less than – 3 or greater than or equal to 1.
write the sentence as an inequality.
Answers
Answer:
m < -3 or m ≥ 1
Step-by-step explanation:
The table represents a linear function. The rate of change between the points (–5, 10) and (–4, 5) is –5. What is the rate of change between the points (–3, 0) and (–2, –5)?
x
y
–5
10
–4
5
–3
0
–2
–5
–5
Negative StartFraction 1 Over 5 EndFraction
One-fifth
5
Answers
Answer:
use the slope formula y2-y1/x2-x1 and you should get -5-0/-2+3= -5 which means the rate of change should be 5
Answer:
5
Step-by-step explanation:
-4x+5 + -13x+39=180 angle measure
Answers
Step-by-step explanation:
−4x+5−13x+39=180
Step 1: Simplify both sides of the equation.
−4x+5−13x+39=180
−4x+5+−13x+39=180
(−4x+−13x)+(5+39)=180(Combine Like Terms)
−17x+44=180
−17x+44=180
Step 2: Subtract 44 from both sides.
−17x+44−44=180−44
−17x=136
Step 3: Divide both sides by -17.−17x
−17
=
136
−17
x=−8
Answer:
x=−8
need help please show your work
find the missing angles of triangles
Answers
Answer:
angle: 71
x = -3
Step-by-step explanation:
step 1: 180-(55+54) = 71
step 2: x+74=71 (subtract 74 from both sides)
step 3: x=-3
step 4: -3+74=71
Segment A'B' is parallel to segment AB.
What is the length of segment AB?
Answers
Answer:
7.5
Step-by-step explanation:
5/6=x/9
cross multiply
6x=45
x=45/6
x=7 3/6 = 7 1/2 = 7.5
Can someone help me I think I'm doing my math wrong
Answers
Answer:
Ay bruv I need to see the answer choices to help
Step-by-step explanation:
If the candies cost $0.80 per pound, how much money did Zachary spend all together? Show your work.
Answers
Answer:
Step-by-step explanation:
tfygggggggggggggggggggghzegrxdrcgfexrydgbfetyrhfgvbyhgrthvbthg6cygn
What is the equation of the line that passes through the point (3, 5) and has a slope
of 2?
Answers
substitute in the equation with the point to get the y intercept
5=2(3)+b
5=6+b
b= -1
so the equation is :
y=2x-1
hope this helps !
guys i need your hell with this question please help and show your work. will mark you brainliest please
Answers
Multiply the fractions
Lilly records the age, in years, and the height, in inches, of the starting players on the girls’ middle school basketball team.
She records them as ordered pairs (age, height): (11, 62), (12, 64), (13, 65), (13, 67), and (14, 68).
Is this relation a function? Explain.
Answers
Answer:
Im not sure but i think its b or c
Step-by-step explanation:
I would probably mostly recommend b
Two numbers have a sum of 12 and a difference of 4. What is the smaller of the two numbers?
Answers
Can someone answer this im so lost
Answers
Step-by-step explanation:
The first important details are given at the start, where the beginning amount of snow is 12 inches. This is a positive number.
Then, the next sentences tell us that the snow melts at a pace of 2 inches for an x number of days.
This can be represented by -2x because the word "melts" indicates a negative value.
From this, the equation can be made :)
What is the range of the function represented by the graph?
On a coordinate plane, points are at (0, 1), (1, 2), (2, 3), (3, 4).
{0, 1, 2, 3}
{1, 2, 3, 4}
1 less-than-or-equal-to y less-than-or-equal-to 4
0 less-than-or-equal-to x less-than-or-equal-to 3
Answers
Answer:
{1,2,3,4}
Step-by-step explanation:
cant be zero, also got it right on edge 2020
Answer:
{1,2,3,4}
Step-by-step explanation:
please it’s due in 30 minutes i will give brainly
Answers
Answer:
Area = 113.01 m²
Step-by-step explanation:
From the picture attached,
Area of the quadrilateral ABCD = Area of triangle ABC+ Area of triangle ACD
Construction to be done → Draw a perpendicular from a point A to the opposite side CD
Area of Δ ABC = [tex]\frac{1}{2}(AB)(BC)[/tex]
= [tex]\frac{1}{2}(12)(10)[/tex]
= 60 m²
Area of triangle ACD = [tex]\frac{1}{2}(AE)(CD)[/tex]
From ΔAEC,
sin(29°) = [tex]\frac{AE}{AC}[/tex]
AC = [tex]\sqrt{(12)^2+(10)^2}[/tex] [By Pythagoras theorem]
AC = [tex]\sqrt{244}[/tex]
AC = 15.62 m
Therefore, AE = 15.62sin(29)
= 7.57 m
Area of ΔACD = [tex]\frac{1}{2}(7.57)(14)[/tex]
= 53.01 m²
Area of ABCD = 60 + 53.01
= 113.01 m²
Factorise 3y^3-4xy+2y
Answers
Answer:
3y^3-4xy+2y
y(3y²-4x+2)
An airline claims that there is a 0.10 probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight. This outcome is independent from flight to flight. Sam is a frequent flier who always purchases coach-class tickets.
For the following questions, pick the correct value rounded to the nearest hundredth.
What is the probability that Sam will be upgraded exactly 3 times in his next 20 flights?
What is the probability that Sam will be upgraded at most 4 times in his next 20 flights?
What is the probability that Sam’s first upgrade will occur on the third flight?
Answers
Answer:
b
Step-by-step explanation:
a) The probability that Sam will be upgraded exactly 3 times in his next 20 flights is 19.01 %
b) The probability that Sam will be upgraded at most 4 times in his next 20 flights is 95.68 %
c) The probability that Sam’s first upgrade will occur on the third flight is 0.0729
What is a Binomial Distribution?
The binomial distribution is a type of probability distribution that predicts the likelihood of obtaining one of two outcomes given a set of inputs. It summarizes the number of tries where each trial has the equal chance of producing the same result.
The formula for Binomial Distribution is given by
P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ
where
n = number of trials
x = number of successes
p = probability of getting a success in one trial
q = probability of getting a failure in one trial
q = 1 - p
Given data ,
Let the probability of getting a coach-class ticket be p
The value of p = 0.10
a)
The probability that Sam will be upgraded exactly 3 times in his next 20 flights
The number of trials = 20
The probability of success p = 0.10
The probability of failure q = 1 - p
The probability of failure q = 0.90
x = 3
Substituting the values in the equation , we get
P ( 3 ) = [ 20! / ( 17 )! 3! ] ( 0.10 )³ ( 0.90 )¹⁷
P ( 3 ) = 0.1901
P ( 3 ) = 19.01 %
b)
The probability that Sam will be upgraded at most 4 times in his next 20 flights
The number of trials = 20
The probability of success p = 0.10
The probability of failure q = 1 - p
The probability of failure q = 0.90
x ≤ 4
Substituting the values in the equation , we get
P ( x ≤ 4 ) = [ 20! / ( 16 )! 4! ] ( 0.10 )⁴ ( 0.90 )¹⁶
P ( x ≤ 4 ) = 0.9568
P ( x ≤ 4 ) = 95.68 %
c)
The probability that Sam’s first upgrade will occur on the third flight
A = ( 0.9 ) ( 0.9 ) ( 0.9 ) ( 0.1 )
A = 0.0729
A = 7.29 %
Hence , the solution is calculated by binomial distribution
To learn more about binomial distribution click :
https://brainly.com/question/29350029
#SPJ2
What is the perimeter of each figure? I'm sorry-
Answers
Answer:
1. 4x + 10
2. 3x + 22
I'm getting an answer but it doesn't make sense. I don't know WHAT I'M DOING WRONG. (I think x should be 3 and y should be 2 but I can't get that)
Answers
+2x +2x
8=3x-1
9=3x
x=3
-2(3)+8=y
-6+8=y
y=2
Between what 2 consecutive numbers does the square root of 15 fall?
1. 15
2. 4
3. 16
4. 3
5. 14
6. 2
7. 5
Answers
Answer: In between 3 and 4
Step-by-step explanation:
Brainliest pllllzzzzz
BRAINLIEST PLEASE!!
convert 40/99 into a decimal round to the nearest tenth if possible
Answers
Answer:
.40
Step-by-step explanation:
convert the fraction to a decimal by dividing the numerator by the denominator.
45% of the students at Mannion Middle School walk to school. If 234 students walk to school, how many students are at Mannion Middle School?
Answers
Answer:
520
Step-by-step explanation:
234=45%
26=5%
100/5=20
20X26=520
Answer:c520 is the answer your welcome! :)
Step-by-step explanation:
150 miles to 4 hours ratio
Answers
Answer:
150 miles to 4 hours ratio is 75:2
Step-by-step explanation:
Identify the next three terms of the sequence below:
-6, -10, -14,...
Answers
Answer:
-18, -22, -26, -30
Step-by-step explanation:
add negative 4 each time
Please help! I will mark brainliest if you are correct