The graph of function g is a parabola with the vertex located at (5,9). The parabola also passes through the point (3, 1). Which of the following is an
equation in vertex form for this function?
Answers
I just did this the answer is C. g(x) = –2(x – 5)2 + 9
The required function is [tex]g(x)=-2(x-5)^2+9[/tex].
Important information:
Vertex of parabola is at (5,9).Parabola passes through the point (3,1).We need to find the equation in vertex form for the function g.
Parabola:The vertex form of a parabola is:
[tex]g(x)=a(x-h)^2+k[/tex] ...(i)
Where, [tex]a[/tex] is a constant and [tex](h,k)[/tex] is the vertex.
Substitute [tex]h=5,k=9[/tex] in (i).
[tex]g(x)=a(x-5)^2+9[/tex] ...(ii)
Parabola passes through the point (3,1). So, substitute [tex]x=3,g(x)=1[/tex] in (ii).
[tex]1=a(3-5)^2+9[/tex]
[tex]1-9=a(-2)^2[/tex]
[tex]-8=4a[/tex]
[tex]-2=a[/tex]
Substitute [tex]a=-2[/tex] in (ii).
[tex]g(x)=-2(x-5)^2+9[/tex]
Thus, the required function is [tex]g(x)=-2(x-5)^2+9[/tex].
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Related Questions
There are around 6,678,000 households with pet rabbits in the United States. There are about 126.2 million households in the U.S. According to these figures, what is the approximate percentage of U.S. households with pet rabbits?
Answers
Answer:
C
Step-by-step explanation:
Divide the household with pet rabbits by the total number of household in the U.S. to get the proportion of U.S. households with pet rabbits. Then, convert the proportion to a percentage.
6,678,000/126,200,000 ≈ 0.05 = 5%
Answer:
C
Step-by-step explanation:
you have to divde the household pets
The highest recorded temperature in the world is 120°F. The lowest recorded temperature in the world is -129.6°F. What is the difference in the two temperatures?
Group of answer choices
9.6 degrees
29.6 degrees
229.6 degrees
249.6
Answers
Explanation: When you see the subtraction symbol followed by a negative symbol, turn the two signs into a plus sign. As a result, the problem turns into a simple addition problem.
120 + 129.6 = 249.6
Thirty-five less than the square of a number is the same as 2 times the number. Find the number
Answers
9514 1404 393
Answer:
-5 or 7
Step-by-step explanation:
Let x represent the number. The problem statement tells us ...
x^2 -35 = 2x
x^2 -2x -35 = 0 . . . . subtract 2x to put in standard form
(x -7)(x +5) = 0 . . . . . factor
x = 7 or x = -5 . . . . solutions are values of x that make the factors zero
The number could be either -5 or +7.
help need done fast pls.
Answers
So
37+63=100
And well
180-100=80
U=80
Answer:
80 degrees
Step-by-step explanation:
Triangle has 180 add the 2 you already have and subtract from 180
I gave extra points and I will give brainliest
Which of these is an example of a random sample?
A. Mrs. Baker selects the 10 students who raised their hands to volunteer to fill out a survey.
B. Mrs. Baker selects the 10 students whose names are drawn from a bag to fill out a survey.
C. Mrs. Baker selects the 10 students who arrived to class first on Monday to fill out a survey.
D. Mrs. Baker selects the 10 students with the highest grade point averages to fill out a survey.
Answers
Answer:
I think it's A.
Step-by-step explanation:
I hope it is helpful to you
What equation is parallel to
y= - 1\4x + 5 and passes through (2,-3)
QUICK
Answers
Given:
The equation of parallel line is [tex]y=-\dfrac{1}{4}x+5[/tex].
Required line passes through (2,-3).
To find:
The equation of line.
Solution:
We have,
[tex]y=-\dfrac{1}{4}x+5[/tex]
On comparing this equation with [tex]y=mx+b[/tex], where m is slope, we get
[tex]m=-\dfrac{1}{4}[/tex]
Slope of two parallel lines are always same. So, slope of required line is [tex]m=-\dfrac{1}{4}[/tex].
The required line passes through the point (2,-3) having slope [tex]m=-\dfrac{1}{4}[/tex], so the equation of line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(-3)=-\dfrac{1}{4}(x-2)[/tex]
[tex]y+3=-\dfrac{1}{4}(x)-\dfrac{1}{4}(-2)[/tex]
[tex]y+3=-\dfrac{1}{4}(x)+\dfrac{1}{2}[/tex]
Subtracting 3 from both sides, we get
[tex]y=-\dfrac{1}{4}(x)+\dfrac{1}{2}-3[/tex]
[tex]y=-\dfrac{1}{4}(x)+\dfrac{1-6}{2}[/tex]
[tex]y=-\dfrac{1}{4}(x)-\dfrac{5}{2}[/tex]
Therefore, the equation of required line is [tex]y=-\dfrac{1}{4}(x)-\dfrac{5}{2}[/tex].
Evaluate the following expression, when d=2 and z=6
6z + 3(-7d-5)
Answers
Answer:
-21
Step-by-step explanation:
6(6) + 3(-7(2) -5 )
36 + 3( -14 -5)
36 + 3( -19)
= -21
help asap please help
Answers
Answer:
Answer:
The Prime Factorization is:
2 x 5 x 11
Step-by-step explanation:
In the news you hear tuition was expected to increase from $1200 to $2350 over the next 10 years. This represents a ___% increase from current tuition. Round answers to two decimal places.
Answers
Answer:
95.83%
Step-by-step explanation:
There are 48 candies in a pack. Twelve are red. 18 are yellow. What is the ratio of reds to yellows?
Answers
Answer is 5:3
This means the ratio of reds to yellows is 5 to 3
=========================================================
Work Shown
We have 48 candies total and 18 yellow. This means there are 48-18 = 30 red assuming there are no other colors.
The ratio of red to yellow is 30:18. We simply list the number of reds (30), followed by a colon, then the number of yellows.
(number of red):(number of yellow)
The order is important. We cannot swap the items. This is because "reds to yellows" in the instructions has "red" come first.
Once you have the ratio 30:18, you divide both parts by the GCF 6 and you'll end up with the final answer 5:3
So for every 5 red candies we have 3 yellow candies. We can say "the ratio of reds to yellows is 5 to 3".
A photographer charges $25 to travel to a client's location, plus $55 per hour for her
services. What is the duration, in hours, of a photography session that costs $465?
Answers
Answer:
8 Hours
Step-by-step explanation:
First, you have to subtract the 25$ because we already know that that is a stable value (meaning it will not change)
Then, you have to divide 440 by 55 to get an answer of 8 hours for the session :D
To find total multiply 55 by number of hours (h) and then add 25:
Total = 55h + 25
Given the total solve for h:
465 = 55h + 25
Subtract 25 from both sides
440 = 55h
Divide both sides by 55
H = 440/55
H = 8
It was 8 hours
Coach De Leon purchases sports equipment Basketballs cost $20.00 each, and soccer balls cost $18.00 each. He had a budget of $150.00
Part A: Use the drop downs to create an inequality that represent the situation Lets represent the number of soccer balls and let b represent the number of basketballs.
________ ____ ______
Part B: Given the coach's budget, which of the following is a viable option for the equipment he can purchase?
A) 4 basketballs and 6 soccer balls
B) 5 basketballs and 2 soccer balls
C) 2 basketballs and 7 soccer balls
D) 6 basketballs and 5 soccer balls
Answers
Answer: B - 5 basketballs and 2 soccer balls
Step-by-step explanation:
Answer:B
Step-by-step explanation:
if i am on the computer for 5 hours every weekday for a year how long am i on the computer?
Answers
Answer: 300
Step-by-step explanation:
You are on the computer 5 hrs/per weekday, 25 hrs per week, 1300 hrs per year
copy and complete: 7:8:9=x:12:x
Answers
Answer:
kjldsjlkgjvdlskvjlxzk
Step-by-step explanation:
Please I will give you 10 plus 5 more for brainliest
Answers
Answer:
1-12
Step-by-step explanation:
1. left 2. right 3. equal 4. left 5. left 6. equal
sry i was running out of time.
what is 2000555.3053 time 50464.4023
Answers
Find the area of the shape shown below
Answers
Answer:
26.75 units²
Step-by-step explanation:
Decomposing the figure given to us we would have 3 triangles of different dimensions and 1 square.
Find the area of each then sum all together to get the area of the figure.
✔️Area of Triangle 1 (the biggest triangle):
Area = ½*base*height
height = 3.5
base = 2 + 2 + 5 = 9
Area = ½*9*3.5 = 15.75 units²
✔️Area of Triangle 2 (the medium triangle):
Area = ½*base*height
height = 2
base = 5
Area = ½*5*2 = 5 units²
✔️Area of Triangle 3 (the smallest triangle):
Area = ½*base*height
height = 2
base = 2
Area = ½*2*2 = 2 units²
✔️Area of the square:
Area = s²
s = 2
Area = 2² = 4 units²
✅Area of the figure = 15.75 + 5 + 2 + 4 = 26.75 units²
please solve needed asap
Answers
Answer:
x = 56°
Step-by-step explanation:
Base angles of an isosceles triangle are equal.
This:
The angle of the triangle to our right, which is the third unequal angle = 180 - 2(31)
= 180 - 62
= 118°
The base angle of the triangle to our left = 180 - 118 (angles on a straight line)
= 62°
x = 180 - 2(62)
x = 180 - 124
x = 56°
6(n+4)=-18
Please please help me
Answers
Answer:
-1
Step-by-step explanation:
-7+4= -3
-3*6= -18
N= -7
Hope this helped! (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧
( ﾟдﾟ)つ Bye
Mai runs around a 400-meter track at a constant speed of 250 meters per minute. How many minutes does it take Mai to complete 4 laps of the track? Explain or show your reasoning
Answers
Answer:
[tex]6.4[/tex] minutes
Step-by-step explanation:
Given information:
- Track is 400m long
- Mai runs at a constant speed of 250 meters/minute
- - - - - -
To find how many minutes it takes for Mai to complete 4 laps, we need to find the total distance Mai is running for:
[tex]400\times4=1600[/tex] meters
To find how many minutes Mai is running for, we divide by the distance Mai travels per minute:
[tex]1600\div250=6.4[/tex] minutes
∴ Mai takes [tex]6.4[/tex] minutes to run 4 laps around the track.
Hope this helps :)
I WILL MARK BRAINLIEST ! Please help!! Solve for x in the parallelogram below.
Answers
Answer:
x = 3
Step-by-step explanation:
Angle D is congruent to angle B.
Angles E and B are supplementary.
180 - 101 = angle B
B = 79
Solve for x.
79 = 27x - 2
81 = 27x
x = 3
HIIIIIIIIIIIIIIIIII
ADDDDDDDDD MEEEEEEEHHHHHHHHHHHH!!!!!!!!!!!!!!!!!
PLLLLLLLLLSSSSSSSSSSSSSSSS
Answers
Answer:
40, because 40 is 2/5ths of 100.
Mark brainlyest pls
Step-by-step explanation:
Answer:
hi
the answer is 60
Step-by-step explanation:
hope it helps and have a nice day!!! :)
Brainiest is appreciated it would really help
A salesperson at a jewelry store earns 3% commission each week. Last week, heidi sold $530 worth of jewelry. How much did make in commission? How much did the jewelry store make from sales?
Answers
Answer:
Heidi made $15.90 total
How much is (576)(812)??
Answers
Answer:
467712
Step-by-step explanation:
Answer:
467,712
You simply just multiply
Can u pls help huryy!!!
Answers
Answer:
C.
Step-by-step explanation:
because f(x) is directly proportional to the numerator which greater than the denominator ( 5>1 ).
While in other cases, f(x) is inversely proportional to the greatest value which is the denominator
Which calcuation and answer show how to convert 5/16 to a decimal?
Answers
What is the measure of ∠XBC?
m∠XBC = m∠BAC + m∠BCA
3p – 6 = p + 4 + 84
3p – 6 = p + 88
2p – 6 = 88
2p = 94
m∠XBC =
°
Answers
Answer:
m∠XBC = 135
Step-by-step explanation:
What is the measure of ∠XBC?
m∠XBC = m∠BAC + m∠BCA
3p – 6 = p + 4 + 84
3p – 6 = p + 88
2p – 6 = 88
2p = 94
From the simplified expression, we need to find the value of p first
From the last line we can see that;
2p =94
Divide both sides by 2:
2p/2 =94/2
p = 47
From the expression, m∠XBC =3p-6
m∠XBC = 3(47)-6
m∠XBC = 141 -6
m∠XBC = 135
Hence the measure of m∠XBC is 135
Answer:
135 the person above e is correct
Step-by-step explanation:
There are 32 desks in a room,
If x represents the number of rows of desks, which expression would equal the number of desks in each row?
32 x
32-x.
32 +x
32/x
Answers
32/x
Explanation
I think this is correct, the others wouldn’t make sense
The expression would equal the number of desks in each row is 32/x. Therefore, option D is the correct answer.
Given that, there are 32 desks in a room.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Now, x represents the number of rows of desks.
The number of desks in each row = Total number of desks in a room / The number of rows of desks
= 32/x
The expression would equal the number of desks in each row is 32/x. Therefore, option D is the correct answer.
To learn more about an expression visit:
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In Austin Texas, there were 42 days where the temperature reached over 100 degrees. 1/3 of those days were in June. How many days in June did the temperature hit above 100?How man
Answers
Answer: 14 days in June
Step-by-step explanation:
Multiply 1/3 × 42. That is the same as dividing 42/3 = 14
SOMEONE PLZ HELP ME WIT THIS QUESTION
Answers
Answer:
25(x)= 200
Step-by-step explanation:
Total = 200
Per day = 25
x = how many days
25(x)= 200
25(8)= 200
- Sorry i am just a little confused by the question but i hope this helps. Have a great day!
Answer:
x+25=200
Step-by-step explanation: