Given:
The graph of a quadratic function opens downward and has its vertex at (0, 1).
To find:
The quadratic function.
Solution:
The vertex form of a quadratic function is:
[tex]y=a(x-h)^2+k[/tex] ...(i)
Where, a is a constant and (h,k) is the vertex.
If a<0, then graph opens downward and if a>0, then graph opens upward.
It is given that the quadratic function opens downward and has its vertex at (0, 1). It means a must be negative.
Putting h=0 and k=1 in (i), we get
[tex]y=a(x-0)^2+1[/tex]
[tex]y=ax^2+1[/tex]
For [tex]a=-1[/tex],
[tex]y=(-1)x^2+1[/tex]
[tex]y=x^2+1[/tex]
So, option A is correct.
In other options the leading coefficient is positive it means their graphs open upward. So, options B, C and D are incorrect.
Therefore, the correct option is A.
A cylindrical can of cocoa has the dimensions shown at the right. What is the approximate area
available for the label?
Diameter - 7 height - 4
Answer:
164.93 I believe is the answer
Mary wanted to solve the system of equations shown. She first used row reduction to get the system into 2 equations with 2 variables, x and y. She then used her calculator and got the graph shown. What is the solution to her system?
Answer: (2, -1, 3)
Step-by-step explanation:
The graph shows you that x=2 and y=-1 so, plug those values back into one of the equations to solve for z. You should get z=3 giving you a solution of (2, -1, 3).
Could someone help, please?
Answer:
DCB=33
Step-by-step explanation:
We are given the angle for a and we know the angle for ADC is 90 because AB & DC are perpendicular. Given two angles of a triangle we can find the third by subtracting the two known values from 180 because we know a triangle totals 180.
180-33-90=57
So we can also find CDB because we know AB & DC are perpendicular. It is also 90 because two perpendicular lines make a 90 angle.
DCB can be found because we know that ACB makes a 90 angle and the ACD portion is 57. So we subtract 57 from 90.
90-57=33
We can also find CBD by subtracting CDB and DCB from 180.
180-90-33=57
More than question asked but wanted to help you see connections between them.
PLEASE HELP MAX POINTS AND BRAINLIEST!!
What is a function with a rate of change of 1/3 and an inital value of -3?
((put ur equation in slope intercept form y=mx + b))
Answer:
y=1/3x-3
I hope i helped you guy.
x²+9x+a has a factor of (x+8) what is the value of 'a' equal to
Answer:
a = 8
Step-by-step explanation:
(x+8)(x+1) = x^2 + 9x + 8
2x + 3y = 2
Consider the system
3x + 3y = -6
Describe how to solve the system by multiplying the first equation by a constant and subtracting. Why
would this method be less than ideal?
(select) v the first equation by 1.5 and subtract. This would be less than ideal because you would
introduce (select) into the solution process.
HELP ASAP DUE TONIGHT
PLEASE PLEASE PLEASE HELP, AND SHOW WORK!!!! LOOK AT ATTACHMENT.
Answer:
24) $230.45
Step-by-step explanation:
25%=25/100=0.25
0.25*357.35=89.38 (rounded to the nearest hundredth)
357.35-89.38=267.97
Now, we have the 25% discount, it is the same thing for the 14% discount.
14%=14/100=0.14
267.97*0.14=37.52(rounded to the nearest hundredth again)
267.97-37.52=230.45
Therefore, total cost is $230.45
what two numbers is the square root of 23 between?
Answer:
23 lies between. 16 and 25
If c= 205 A=81 and b=50. B=
Answer:
50
Step-by-step explanation:
Did you write it correct? It says b = 50 and ur question is b= ?
Find the common ratio of the following geometric sequence:
4, 8, 16,....
Answer:
Common ratio : 2
nth term : 4 × 2^(n-1)
Step-by-step explanation:
Good luck *_*
Hope this helps ^^
M&M plain candies have a normally distributed weight with a mean of 0.8565 g and a standard
deviation of 0.0518 g. If 465 M&M plain candies are randomly selected, find the probability that
their mean weight is at least 0.8535 g each.
Answer:
0.89417
Step-by-step explanation:
Using the relation to obtain the Zscore :
Z = (x - mean) ÷ standard deviation / sqrt(n)
x = 0.8535
Mean = 0.8565
Standard deviation = 0.0518
Sample size, n = 465
P(x ≤ 0.8535) = (0.8535 - 0.8565) ÷ 0.0518/sqrt(465)
P(x ≥ 0.8535) = - 0.003 / 0.0024021
P(x ≥ 0.8535) = - 1.249
P(Z ≥ - 1.249) = 0.89417
Help pls and no links
Answer:
The answer is A. 4+y^2/2y^2
A rectangle has a length of 12 meters and a width of 400 centimeters. What is the perimeter
in cm, of the rectangle?
A. 824
B. 1,600
C. 2.000
D. 3.200
$51,033
An electronics wholesaler must sell at least $4000 worth of computers and printers per day to stay profitable. Each printer costs
$300 and each computer costs 5900. The store can ship a maximum of 25 items per day. If c represents the number of computers
and p represents the number printers, which THREE statements are correct?
Pls help
Answer:
A,B,D
Step-by-step explanation:
(A) is correct because 5*900+15*300>4000
(B) is correct because 15*900+5*300>4000
(D) is correct because C+P must be less than or equal to 25
Cu cat este mai mare suma numerelor 25 si 17 față de diferența lor? ( se vor folosi doua paranteze mici.)
Given :
Two numbers 25 and 17.
How much larger is the sum of the numbers 25 and 17 compared to their difference? (Two small brackets will be used.)
To Find :
How much larger is the sum of the given numbers as compared to their difference.
Solution :
Sum of given numbers, S = 25 + 17 = 42 .
Difference of given numbers, D = 25 - 17 = 8 .
The difference between S and D is, S - D = 42 - 8 = 34 .
Therefore, sum of the numbers is larger by 34 than in difference.
3+ 5/7x_>_1+x?
Hdjdhdudjdjdheirhdhfhhfh
Answer:
Step-by-step explanation:
girl what is wrong with that screen lol
find the area of the shaded region inside the rectangle hexagon given one of the side lengths is 8.
A 163
B 230
C 300
D 233.3
If l║m and m∠8 = 109°, what is m∠5?
you need to see all the measurements to know what m∠5 to get the answer.
Please help me with this homework
Answer:
16
Step-by-step explanation:
Divide using synthetic division -3 1 8 9 -18
Answer:
Step-by-step explanation:
-3 / 1 8 9 -18
-3 -15 18
_______________
1 5 -6 0
The remainder here is 0 and the quoitient is 1x^2 + 5x - 6.
Find the missing side and angle to the nearest tenth.
AC=
m∠B =
Answer:
AC²=AB²-BC²=13²-10²=169-100=69
AC=√69=~8.3
Step-by-step explanation:
reciproque de pytaghore to solve AC
Complete the table and then graph the function.
y = 3x
Answer:
x y
1 3
2 6
3 9
Step-by-step explanation:
just plot the corresponding points onto your graph
HELP QUICK !! I JUST NEED THE ANSWER
Answer:
the function is shifted up n units
Step-by-step explanation:
because in my opinion it will affect the function y only
Select the functions that have a value of 0.
sin270°
cot270°
cos270°
tan270°
sec270°
csc270°
Answer:
cos270° has a value of 0
Step-by-step explanation:
cos 270°
Can someone help me plzzz and thank you
Answer: 20 I think
Step-by-step explanation:
can someone help me with this please ?!
Answer:
7.10
Step-by-step explanation:
When 1,250 Superscript three-fourths is written in its simplest radical form, which value remains under the radical?
10
6
5
2
Answer:
D is the answer
Step-by-step explanation:
Answer:
D
Explanation:
100%
can someone please help me
Answer:
A)
Step-by-step explanation:
n = -3
Output: (n - 2)
-3 - 2 = -5
It's A because it's the ONLY choice where the output is -5 when the input is -3
Calculate
√6x√20 divided by
√3
Give your answer in the form a√b where a and b are integers, and b is as small as
possible.
Answer:
(√6x√20) / √3 = 2√10
Step-by-step explanation:
hello :
(√6x√20) / √3 =√2x√3 x√4x√5 / √3
because : √6 = √2x√3 and √20= √4x√5 = 2x√5
now simplify by √3 :(√6x√20) / √3 =√2x2x√5
(√6x√20) / √3 = 2√10 so : a =2 and b =10
How might doing math slowly help with problems that are difficult to understand or hard to solve?
Q: How might doing math slowly help with problems that are difficult to understand or hard to solve?
A: It calms you down. When you are stressed, you are most likely to get it wrong because you are panicking. This also helps because you can read the problem correctly and make sure you are doing it right, because in math, If you get 1 small thing wrong, you usually get the entire thing wrong.
I hope this helped!
~flipohrama
