Answer:
y = –2(x – 1)² + 1
Step-by-step explanation:
Given the quadratic function, y = -2x²+ 4x - 1:
where a = -2, b = 4, and c = -1
The vertex of a parabola is the point on the graph where the parabola intersects the axis of symmetry. The axis of symmetry occurs at x = h. Therefore, the x-coordinate of the vertex is the same as h.
To find the vertex, (h, k), you need to solve for h by using the formula:
Plug in the values into the formula:
[tex]h = \frac{-b}{2a}[/tex]
[tex]h = \frac{-4}{2(-2)} = 1[/tex]
Therefore, h = 1.
Next, to find the k, plug in the value of h into the original equation:
k = -2x²+ 4x - 1
k = -2(1)²+ 4(1) - 1
k = 1
Therefore, the value of k = 1.
The vertex (h, k ) occurs at point (1, 1).
Now that you have the value for the vertex, you can plug these values into the vertex form:
y = a(x - h)² + k
a = determines whether the graph opens up or down; it also makes the parent function wider or narrower.
If a is positive, the graph opens up. If a is negative, the graph opens down.h = determines how far left or right the parent function is translated.
k = determines how far up or down the parent function is translated.
Plug in the vertex, (1, 1) into the vertex form:
y = –2(x – 1)² + 1
This parabola is downward facing, with its vertex, (1, 1) as its maximum point on the graph.
Evaluate e - 1/2f when e = 15 and f = 2
Answer:
14 is correct answer
Step-by-step explanation:
15-1/2*2
15-1/4
15*4/4-1/4
60-1/4
59/4
= 14.75
(Hope this helps can I pls have brainlist (crown)☺️)
Answer:
Step-by-step explanation:
e-1/2f
15-1/2*2
15-1
14
True or false
8/15<3/5
Answer:
True
Step-by-step explanation:
This is true, because you have to convert the fraction (3/5) into the same denominator as (8/15).
3/5 = 9/15
9/15 is greater than 8/15 so, 8/15 is less than 9/15
Hope this Helps!
Answer:
3/5
Step-by-step explanation:
3/5 is greater than 8/15
Date
Class
Name
2.1 Independent Practice
FL
8.EE.1.1
my.hrw.
21. Explain why the exponents cannot be added in the product 123. 113.
Why the exponents cannot be added in the product 12 to the power of 2 • 11 to the power of 3
9514 1404 393
Answer:
the bases are different
Step-by-step explanation:
It is useful to remember that an exponent signifies repeated multiplication:
12² = 12×12 . . . . 2 factors of 12
11³ = 11×11×11 . . . 3 factors of 11
In the product ...
12² × 11³ = 12×12×11×11×11
there are no factors that are repeated 2+3=5 times. It makes no sense to add any exponents in this product.
6. Find the value of b and the measurement of
each angle
(7b-2)
(3b+2)°
Answer:
b = 10
Step-by-step explanation:
"7b - 2" is supplementary to "3b + 2"
7b - 2 + 3b + 2 = 180
7b + 3b - 2 + 2 = 180
10b + 0 = 180
10b/10 - 180/10
b = 18
Write an equation for the situation. Do not solve it
Joe ate 2 hamburgers and then he divided the remaining burgers amongst his 5 friends. Every friend received 2 burgers. How many burgers did Joey start with?
Answer:
x -2/5 = 2
Step-by-step explanation:
x = hamburgers total
Joey ate 2 = -2
Divided by 5 friends = /5
Answer:
x = 2 + (5 x 2)
Step-by-step explanation:
Let x represent the total number of burgers
Erik worked from 3:30 P.M. to 4:05 P.M. Mary worked ſo of an hour. Who worked longer? Explain and show your work.
Answer:
Mary because she worked a hour and Erik worked 35 mins you need to 30 mins to make a hour and it was already 3:30 for him so he work 35 mins brainliet pls
Step-by-step explanation:
Nancy Wrote two equivalent expressions. If she sets them equal to each other, will them equation have one solution, no solutions, or infinitely many solutions? Use an example to support your answer.
The answer is infinetely many solutions.
6+6=6+6
12=12
If USA’s fastest man Yohan Blake completed 100 meters in 10 seconds , find average speed in meters per seconds
Answer:
10 m/s
Step-by-step explanation:
He does 100 meters in 10 seconds.
Divide both numbers by 10.
He does 10 meters in 1 second.
1. What is 20 1/2+ (- 34) − (7− 10 +12) simplified? Show work to support the answer.
Answer:
-45/2
Step-by-step explanation:
Step by step in the screenshots!!
What is the area of rhombus ABCD?
16 is the answer.
your welcome.
Solve equation for 3(2x - 5) - (2x - 5) = 6(4x + 5)
Answer:
x=-2
Step-by-step explanation:
14. The value of a baseball player's rookie card began to increase
once the player retired in 1996. The value has increased by
$2.52 each year since then.
a. How much was the baseball card worth in 1997?
In 1998? In 1999?
1. $2.52
2. $5.02
3. $7.54
I hope this helped! SO sorry if its wrong :(
Alice is deciding where to go on her next trip. She is reviewing some information packets. She has packets advertising European trips numbered 1,2,3, packets advertising African trips numbered 1,2,3,4,5,6, and packets advertising South American trips numbered 1,2. If a single packet is picked at random, what is the probability that the packet is advertising a South American trip AND has an odd number?
Provide the final answer as a fraction.
Answer:
1/11
There are a total of 3+6+2=11 packets. Of these, there is 1 card that is advertising a South American trip and has an odd number, so the answer is 1/11.
Step-by-step explanation:
Answer:
1/11
Step-by-step explanation:
Cos/1+Sin = 1-Sin/Cos
Answer:
if you are asking for true or false it would be false
Step-by-step explanation:
The equation y = 0.7x represents the distance Henry hikes in miles over time in hours. The graph represents the rate that Clark hikes. Determine which hiker is faster. Complete the explanation.
Answer:
Henry’s unit rate is 0.7 miles per hour. Clark’s unit rate is 1.5 miles per hour . So, Ckark is faster.
Step-by-step explanation:
Distance covered by Henry is represented by y = 0.7x, where x = time (hrs), and y = distance (miles).
Distance covered in 1 hour by Henry would be:
y = 0.7(1) = 0.7 miles per hour
Distance covered by Clark in 1 hour = 1.5 miles per hour
Ckark covers more miles per hour than Henry covers in one hour, therefore, Ckark is faster.
Hope this helped!
Have a wonderful day!
PLS HELP ME UNDERSTAND THIS
Answer:
Exact form: 44/15
Decimal form: 2.93 repeating
Mixed number form: 2 14/15
Step-by-step explanation:
I will give you 80 points If you help me please help me
Elevator 1 in a building moved from ground position to a final position of +16 feet. Elevator 2 in the same building moved from ground to a final position of –25 feet. Which statement best describes the final positions of these two elevators? (1 point)
Elevator 1 is 16 feet below ground level, and elevator 2 is 25 feet above ground level.
Elevator 1 is 16 feet below ground level, and Elevator 2 is 25 feet above the position of Elevator 1.
Elevator 1 is 16 feet above ground level, and elevator 2 is 25 feet below ground level.
Elevator 1 is 16 feet above ground level, and Elevator 2 is 25 feet below the position of Elevator 1.
Answer:
Elevator 1 is 16 feet above ground level, and elevator 2 is 25 feet below ground level
Step-by-step explanation:
Elevator one is moving up, so it means it's above ground level since it started on the ground
Elevator is moving negative floors, so it is moving below.
Let me know if you have any questions!
Please help me quickly due at 9:00 pm !!!!
Can someone explain how you do this and not only give me the answer?
Liam is currently twice as old as Sally. 4 years ago, Liam was three times as old as Sally. How old is Liam now?
Answer:
16
Step-by-step explanation:
L = 2 * S
L-4 = (S-4) * 3
L-4 = 3S - 12
L = 3S - 8
2S = 3S - 8
-S = -8
S = 8
L = 16
Answer:
16
Step-by-step explanation:
Pls help I’ll brainlest ASAP
Answer:
I called her two times, but she did not call back
Step-by-step explanation:
main clause, then subordinate clause(:
Answer:
I called her two times, but she did not call back.
Konrad is trying to show his teacher why the sum of two rational numbers is another rational number. His first steps are shown. Which is the best method Konrad could use to continue?
Answer:
mn + pq = mq+pnnq
Show that mq, pn, and nq are all integers.
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
mn + pq = mq+pnnq
Show that mq, pn, and nq are all integers.
Nothing to worry about
Answer:
Your're my bestie
Crislie Mea
given f(x)=21x+11 , find f(3)
Answer:
f(3) =74
Step-by-step explanation:
21(3)+63
63+11
=74
Write the equation of each of the following lines. A vertical line through the point (3,-9)
Answer:
vhchyjgfufycjchccydychvhcycycfhchchc
What does it mean when they ask to express four thousand, fifty?
Answer:
Numbers
Step-by-step explanation:
Here you go:
24000+50
24,050.
Like bro
*sorry read it as 4050 ^_^*
Answer:
it means to put it in numerical form I believe so the answer would be 24,050
HELP
If you are traveling at a speed of 60 miles per hour, how many feet per second is this? 1 mile = 5280 feet
Answer:
87.99213
Step-by-step explanation:
help me guys I don't get this ?
Answer:
Yes sure but can't see the attachment .......
Answer:
If you could provide the question and possible answer choices, I could help you.
Suppose a life insurance company sells a $230,000 one-year term life insurance policy to a 24-year-old female for $200. The probability that the female survives the year is 0.999569. Compute and interpret the expected value of this policy to the insurance company. The expected value is $ (Round to two decimal places as needed
Suppose a life insurance company sells a $150,000 one-year term life insurance policy to a 23-year-old female for $260 the expected value of this policy to the insurance company will be:$198.35
Expected value=(260×0.999589)-(150,000-$260)×(1-0.999589)
Expected value=259.89314-149,740×0.000411
Expected value=$198.35
Interpretation of the Expected value:
Based on the above calculation the insurance company is expect to make an average profit of $198.35 on every 23-year-old female it insured for 1 year.
Inconclusion Suppose a life insurance company sells a $150,000 one-year term life insurance policy to a 23-year-old female for $260 the expected value of this policy to the insurance company will be:$198.35
please help me (i don’t know how to do it)
Answer:
The answer is in the attached picture below.