Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = x2 + x + 1
Axis of symmetry: x = -0.5; Vertex: (-0.5, -0.75); f(x) = x2 - x + 1
Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = -x2 + x
Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = x2 + 2x + 1
Answers
Answer:
Option A: Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = x2 + x + 1
Step-by-step explanation:
1) The axis of symmetry of quadratic graph is the vertical line that divides the graph curve into two congruent halves. In this case, it is: x = -0.5
2) Vertex is the point at which the graph curve changes direction or simply coordinates of the crest or trough of the curve.
The graph given has a trough with the coordinates: x = -0.5, y = 0.75. This is (-0.5, 0.75)
3) The roots of a quadratic equation are the points where the curve crosses the x-axis. In this case, it doesn't cross and so we have imaginary roots.
Now, formula for line of symmetry is; x = -b/2a
Thus; -b/2a = -0.5 or -b/2a = -1/2
Thus, b = 1 and a = 1
Our first and second terms will now be;
x² + x
Looking at the options, the only one with x² + x as it's first 2 terms is option A.
Thus, the complete equation will be x² + x + 1
Related Questions
The elves and reindeer are getting ready for a meeting with Santa.
So far 14 of them have arrived.
If they have 38 legs between them, how many reindeer are at the meeting and how many elves are at the meeting?
Answers
Let [tex]e[/tex] and [tex]r[/tex] be the number of elves and reindeers, respectively.
We know that:
[tex]r+e=14[/tex] (so far 14 of them have arrived)
[tex]4r+2e = 38[/tex](each reindeer has 4 legs and each elf has two)
If we multiply the first equation by 2 we have [tex]2r+2e=28[/tex], and if we subtract this equation from the second we have [tex]2r=10[/tex] which implies [tex]r=5[/tex].
So, there are 5 reindeers and 9 elves (remember that they have to sum up to 14).
The number of reindeers is 5 and the number of elves is 9.
Two equations can be derived from the equation:
e + r = 14 equation 1
2e + 4r = 38 equation 2
Where:
e = number of elves at the meeting
r = number of reindeers at the meeting
In order to determine the value of r, multiply equation 1 by 2.
2e + 2r = 28 equation 3
Subtract equation 3 from 2
2r = 10
Divide both sides of the equation by 2
r = 5
To solve for e substitute for r in equation 1
5 + e = 14
e = 14 - 5
e = 9
A similar question was answered here: brainly.com/question/23589883?referrer=
The ratio of the number of boys to the number of girls in skateboard club is 5 to 4. There are 60 girls in skateboard club. How many boys are in skateboard club?
Answers
Answer:
boys:girls
5:4
?:60
multiply 15.
?=75 boys.
Hope it helps.
Answer:
Hello there.
5:4
75:60
Step-by-step explanation:
if 60/4=15, multiply 15 with 5.
your answer is 75.
Hope it helps, thank you.
PART B The Connecticut Speeding inequality In many places in Connecticut, the speed limit on interstate highways is still 55 miles per hour. The formula used for calculating speeding fines on interstate highways in Connecticut is shown below. Judges in Connecticut have the ability to lower fines to any amount above $0, but fines may not exceed $350.
[tex]f(s) \leqslant 10(s - 55) + 40[/tex]
Maximum fine: $350 Again, frepresents the amount of the fine in dollars and s represents the recorded speed of the car in miles per hour.
1.Write a realistic domain and range for the conneticut speeding inequality as compund inequaleties. Explain your choice.
Answers
Search that question on brainless and you’ll for sure find yourself an answer.
Pls help ASAP Explain why this mapping is or is not a function.
A. This is a function because every input maps to only one output
B. This is a function because every output maps only the input
C. This is not a function because more than on input maps to an output
D. This is not a function because more than one output maps the input
Answers
Answer:
correct answer is a
Step-by-step explanation:
its a function as long as every input has one output, 1 output can have any number of inputs
i choose d mb i got it wrong
- 5х – 3х
What do you get from these like terms?
Answers
you just subtract 3 from negative 5
If there are 129 apples and you take away 12, how many do you have now?
Answers
Answer:
117
Step-by-step explanation:
Answer: 129-12=117
Step-by-step explanation: 117 apples would be left.
When reaching mile marker 7 on a trail, Natalie uses her GPS to find that her current elevation is 6350 feet. If she follows the trail until its end at mile marker 12, her elevation will be 8720 feet. What is the average change in elevation of Natalie’s position from mile marker 7 to mile marker 12, in feet per mile marker?
Answers
Find the difference in elevations:
8720 - 6350 = 2370 feet.
Difference in mile markers: 12-7 = 5
Average change = feet / markers
2370/5 = 474
The answer is 474 feet
Relationships between x and y
Answers
Answer:
they love each other
Step-by-step explanation:
...........
Predictor or independent variable Response or dependent variable
Temperature in degrees Celsius Temperature in degrees Fahrenheit
Area of a house (sq.ft.) Value of the house
Age of a particular make and model car Resale value of the car
Amount spent by a business on advertising in a year Revenue received that year
Height of a 25-year-old man Weight of the man
50mgs for every 60lbs how much mgs for 110 lbs
Answers
Answer:
would it be 40?
Step-by-step explanation:
Answer:
The answer is either 1.0022727272727274, 40, or 1.8375000000000001.
Hope this helps, have a wonderful day/night, stay safe, happy holidays, and merry christmas!
Suppose that the radius of a circle increases at a constant rate of 0.25 cm/sec. When the radius of this circle is 16 cm, the area of the circle increases at a rate of
Answers
Answer:
8πcm²/sec
Step-by-step explanation:
The radius of the circle increases at a rate of dr/dt = 0.25cm/sec
The radius of the circle r = 16cm
The area of the circle increases at a rate of dA/dt = ?
Area of a circle = πr²
We take the derivative with respect to t
dA/dt = 2πrdr/dt
dA/dt = 2 π (16)(0.25)
dA/dt = 8πcm²/sec
Thank you!!!
Answer:
8pi cm^2/sec
Step-by-step explanation:
took the unit test, also give other person brainliest, their answer was REALLY good.
Find the missing angle.
Answers
Answer: 80
Step-by-step explanation:
Total amount in a triangle is 180
180 - 80 - 20 = 80
Edwin Edwards and Karen Davis owned EEE, Inc., which owned three convenience stores, all of which sold gasoline. Reid Ellis delivered to the three convenience stores $26,675.02 worth of gasoline for which he was not paid. Ellis proved that Edwards and Davis owned the business, ran it, and in fact personally ordered the gasoline. He claimed that they were personally liable for the debt owed him by EEE, Inc. Decide. [Ellis v.
Edwards, 348 S.E.2d 764 (Ga. App.)]
Answers
Question Completion:
Note: This is a Law question, not Mathematics.
Answer:
Decision:
Edwards and Davis are not personally liable for the debts of EEE, Inc.
Step-by-step explanation:
That Edwin Edwards and Karen Davis owned EEE Inc. does not force them to be personally liable for the debts of EEE Inc. EEE Inc. is a separate legal entity. There is the legal separation of ownership and the liabilities of Edwards and Davis are limited to the capital they contributed or undertook to contribute to the corporation. The corporate veil is only lifted when it is ascertained that EEE Inc. was not run as a legal entity separate from the owners. We can also conclude that there is no evidence of abuse of the corporate form of EEE Inc. with comingling of assets or for the purpose of promoting fraud or injustice or evasion of tort or contractual responsibility on the part of Edwards and Davis. Therefore, Edwin Edwards and Karen Davis are not personally liable for the debts of EEE Inc. as claimed by Reid Ellis.
as a graded class activity, your teacher asks your class to reflect a triangle across the y-axis and then across the x-axis. Your classmate gets upset because he reversed the order of these reflections and thinks he will have to start over. What can you say to your classmate to help him?
Answers
Answer:
Both processes will yield same results and he need not worry
Step-by-step explanation:
Let us firstly check if we will have same results on both steps
y before x
Let us have the point (x,y) on the triangle
y reflection
(-x,y)
then x reflection
(-x,-y)
Let us now get the order in which my friend followed
x reflection
(x, -y)
y reflection
(-x,-y)
we can see that both processes have same results and thus, my friend need not worry
Answer:
The order of these two reflections
does not
matter. The resulting image
is
the same for a reflection in the y-axis followed by a reflection in the x-axis as for a reflection in the x-axis followed by a reflection in the y-axis.
Step-by-step explanation:
Any help please thank you I appreciate it
Answers
Answer:
x=33
Step-by-step explanation:
The angles have to add up to 180, so you get:
2x - 18 + 4x = 180
6x = 180 + 18
x = 198/6
x = 33
answer this correctly pls and u get brainliest and 50 points
Answers
Answer:
32 degrees
Step-by-step explanation:
One straight line equals 180 degrees
if one angle from one side is 148, then 180-148=32
I need help with this :(
Answers
♀️♀️♀️♀️♀️♀️♀️♀️
Answer:
The sum of the areas of square N and square L is equal to the area of square K
PLEASE HELP!! AND SHOW WORK PLEASE!!
Answers
Answer:
keeping an eye on graph
Step-by-step explanation:
its answer will be
total price for 12.5 pound of rice=$32.5
Please helppppppppppppp me
Answers
Answer:
with what?
Step-by-step explanation:
4.23m 4.27m 3.98m his longest jump was how much longer compared to his shortest jump
Answers
Answer:
.29
Step-by-step explanation: Subtract first by last
Answer:
0.29m longer
Step-by-step explanation:
Longest jump = 4.27m
Shortest jump = 3.98m
4.27 - 3.98 = 0.29m
Two more than 4 times a number is the number less 7. What is the number?
Answers
Solve equation
Subtract x from both side
3x + 2 = -7
Subtract 2 from both side
3x = -9, x = -3
Solution: the number is -3
Suppose that 7 in every 10 auto accidents involve a single vehicle. If 15 auto accidents are randomly selected, compute the probability that at most 4 of them involve a single vehicle.
Answers
Answer:
[tex]\mathbf{P(X \le 4 ) \simeq 0.0006722}[/tex]
Step-by-step explanation:
From the information given:
p = x/n
p = 7/10
p = 0.7
sample size n = 15
Suppose X be the number of accidents involved by a single-vehicle.
Then;
[tex]X \sim Binom (15,0.7)[/tex]
Thus, the required probability that at most 4 involve in a single-vehicle is
[tex]P(X\le 4) \\ \\P(X \le 4) = P(X = 0) + P(X =1 ) + ... + P(X = 4)[/tex]
[tex]P(X \le 4 ) = (^{15}_0) *0.7^0 *0.3^{15-0} + (^{15}_1) *0.7^1 *0.3^{15-1} + (^{15}_2) *0.7^2 *0.3^{15-2} + (^{15}_3) *0.7^3 *0.3^{15-3} + (^{15}_4) *0.7^4 *0.3^{15-4}[/tex]
[tex]P(X \le 4 ) = (\dfrac{15!}{0!(15-0)!}) *0.7^0 *0.3^{15-0} + (\dfrac{15!}{1!(15-1)!}) *0.7^1 *0.3^{15-1} + (\dfrac{15!}{2!(15-2)!}) *0.7^2 *0.3^{15-2} + (\dfrac{15!}{3!(15-3)!}) *0.7^3 *0.3^{15-3} + (\dfrac{15!}{4!(15-4)!}) *0.7^4 *0.3^{15-4}[/tex]
[tex]P(X \le 4 ) =1.4348907 \times 10^{-8} +5.02211745 \times 10^{-7} + 8.20279183 \times 10^{-6} + 8.29393397 \times 10^{-5} + 5.80575378 \times 10^{-4}[/tex]
[tex]P(X \le 4 ) =6.7223407 \times 10^{-4}[/tex]
[tex]\mathbf{P(X \le 4 ) \simeq 0.0006722}[/tex]
15 divided by 6 2/3 =
A. 100
B. 2/14
C. 100 1/4
D. 2 3/4
Answers
What is the probability of the outcome being an A?
Answers
Answer:
The probability of the outcome being an A is 1/2.
Step-by-step explanation:
[tex]\frac{1}{2}[/tex] probability of the outcome being an A, option D.
---------------------------------------------
A probability is the number of desired outcomes divided by the number of total outcomes.
The spinner is divided into 8 regions, thus, there are 8 total outcomes.4 of those regions are A, so there are 4 desired outcomes.---------------------------------------------
The probability of the outcome being an A is:
[tex]p = \frac{4}{8} = \frac{1}{2}[/tex]
Thus:
[tex]\frac{1}{2}[/tex] probability of the outcome being an A, option D.
A similar problem is found at https://brainly.com/question/16069806
Helppppppppppppppppp ASAP
Answers
Answer:
Option c - 2x + 1
Step-by-step explanation:
6x^2 - 10x +3x - 5
2x(3x-5) +1 (3x - 5)
(2x+1) (3x-5)
Paul is thinking of a number.
He says.
"My number is odd. It is a factor of 18 and a multiple of 3"
There are two possible numbers Paul can be thinking of
Write down these two numbers.
Answers
i need help with #1 10 points
Answers
Answer:
No it is not proportional
Step-by-step explanation:
You cant multiply each of the inputs by a constant number to get the output.
There is only 2 of them that you can, but the other 2 no. And you want he whole table so you need all of the inputs not just some. So no, its not proportional.
Hope this helped!
I need help!!!!!!!!!!!!
Answers
Answer:
NO they are not proportional
Step-by-step explanation:
52.3/3=62.45/5 Lets see if that is correct.
52.3/3 is 17.433333333
62.45/5 is 12.49.
No they are not the same
Hope this helps plz hit the crown :D
dont mind this question
Answers
Answer:
hello, there.
Step-by-step explanation:
General kanobi
Can some one help me I will give the brainliest
Answers
Answer:
b,0,1
Step-by-step explanation:
I need help please I have to finish this