What is the equation of the graph below?
А
y = 2(x + 4)2 – 2
B
y = (x – 4)2 – 2
C y = 2(x - 4)2 – 2
D
y = 2(x – 4)2 + 4
Answers
Answer:
f(x) = 1(x - 4)^2 - 2
Step-by-step explanation:
Recall that the vertex form of the equation of a parabola is
f(x) = a(x - h)^2 + k, where (h, k) is the vertex and a is a scale factor which stretches or compresses the graph vertically.
Looking carefully at the graph, we see that h must be 4 and k must be -2.
Thus, the equation of this parabola is f(x) = 1(x - 4)^2 - 2 (which matches Answer B)
Related Questions
Determine all of the roots of the polynomial P(x) = x3 - 8x2 - 8x + 24.
Answers
Answer: (x^2−10x+12)(x+2)
Step-by-step explanation:
Factor x^3−8x^2-8x+24 using Polynomial Division
Aria has a points card for a movie theater. She receives 85 rewards points just for signing up. She earns 12.5 points for each visit to the movie theater. She needs 185 points for a free movie ticket. How many visits must Aria make to earn a free movie ticket?
Answers
Answer:
8 visits
Step-by-step explanation:
Create an equation, where x is the number of visits to the theater.
Since she gets 12.5 points for each visit, the number of points from visits will be represented by 12.5x.
85 will be added to this, since she gets 85 points for signing up. Then, this will be set equal to 185, since she needs 185 points for the free ticket.
12.5x + 85 = 185
Solve for x:
12.5x = 100
x = 8
So, Aria needs to make 8 visits to earn a free movie ticket
Aria must make 8 visits to earn a free movie ticket when She needs 185 points for a free movie ticket.
By given she has 85 rewards points just for signing up.
She earns 12.5 points for each visit to the movie theater.
She needs 185 points for a free movie ticket.
We must find how many visits does aria has to make to earn a free movie ticket
What is equation?If two expressions with equal sign is called as equation.
Let x is the number of visits to the theater.
Since she gets 12.5 points for each visit, the number of points from visits will be represented by 12.5x.
85 will be added to this, since she gets 85 points for signing up. Then, this will be set equal to 185, since she needs 185 points for the free ticket.
12.5x + 85 = 185
12.5x = 100
x = 8
So, Aria needs to make 8 visits to earn a free movie ticket
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What is the value of X?
Answers
Answer: 75
Step-by-step explanation:
hi everyone i got a 16/20 on a final what percent is that im jw
Answers
Answer:
80%
Step-by-step explanation:
Plz help brainlest!!!!!
Answers
Answer:
$6.50
Step-by-step explanation:
43.50-24=19.5
19.5/3=6.5
Answer: Each snack costs $6.50
Step-by-step explanation:
Subtract 43.50 by 24
Then divide
Erin completes 11 transactions in his bank account. In 6 transactions, he withdraws $10 each time. in 5 transactions, he deposits $20 each time. Find the total net change in dollars.
Answers
Answer:
The answer is 30
Please give me Brainliest it would mean a lot
Ashley is deciding between two jobs.
Job A pays $2000 a month with a
monthly raise of $85. Job B pays $2000
a month with a monthly raise of 4%.
a. Write a function to represent the
monthly salary for job B.
Answers
Answer:
job A because 4% of 2000 is 80 and job A is 5 dollars extra
Fill in the missing number
7x3=(__x3)+(4x3)
Answers
Answer:3
Step-by-step explanation:
7x3=21 4x3=12 21÷12=9 3x3=9
Answer:
3Step-by-step explanation:
7 × 3 = (x × 3) + (4 × 3)21 = 3x + 123x = 21 - 123x = 9x = 9/3x = 37 × 3 = (3 × 3) + (4 × 3)
39)117
What is the answer
Answers
Answer:
the answer of this question is 1/3
39/117 = 1/3
Help!please do this fast!!!
Answers
Answer:
The ordered pair works for the first equation on the top, but not the second equation on the bottom.
Step-by-step explanation:
You have to plug in the x and y values into the equations:
x - 2y = -6
2 - 2(4) = -6
That equation works.
...now for the next one...
3x + 2y = 12
3(2) + 2(4) = 12
That equation doesn't work.
Hope this helps!
Observe:
2-2(4)=-6
-6=-6 this is a true statement
3(2)-2(4)=12
6-8=12
-2≠12 this is a false statement
Therefore the solution 2,4 doesn’t apply to the system since it only applies to one of the equations
Bryan initially filled a measuring cup with 3/10 of a cup of syrup from a large jug. Then he poured 1/10 of a cup back into the jug. How much syrup remains in the measuring cup?
Answers
A band is playing at an auditorium with floor seats and balcony seats. The band wants to sell the floor tickets for $15 each and balcony tickets for $12 each. They want to make at least $3,000 in ticket sales.
1. How much money will they collect for selling x floor tickets?
Answers
Answer:
Not sure
Step-by-step explanation:
Annual sales for a company are $155,000 and increases at a rate if 8% per year for 9 years
Answers
155,000 + 12,400 = 167,400
- this is the rate for one year, find 8% of 167,400 and use addition to add your answer to 167,400 find the cost of the 2nd year, keep doing this until you have reached 9 years
The value of annual sales in 9 years is $309,845.72.
What is the value of annual sales in 9 years?In order to determine the annual sales of the company in 9 years, the formula to be used is:
FV = P (1 + r)^n
Where:
FV = Future value P = Present value R = interest rate N = number of years$155,000 x (1.08)^9 = $309,845.72
To learn more about future value, please check: https://brainly.com/question/18760477
Tameka borrowed $300 to buy a digital music player she will pay the money back in 1 year at 5%simple interest how much money will tameka pay in interest
Answers
Answer:
$15 in interest
Step-by-step explanation:
sorry if it is wrong. I found 5% of 300 which is 15.
$15 money will tameka pay in interest.
What is interest?
Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.
Here, we have,
formula: I = Prt.
here, we get,
given that,
Tameka borrowed $300 to buy a digital music player she will pay the money back in 1 year at 5%simple interest.
P=$300
r=5%
t=1year
so, I =$300*5%*1
=$15
Hence, $15 money will tameka pay in interest.
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The answers are
A. 1/3 cm/s
B. 1/2 cm/s
C. 2/3 cm/s
D. 3/2 cm/s
Please help!!
Answers
Answer:C
Step-by-step explanation:
C. 2/3 cm/s
what is a median in a dot plot
Answers
Answer:
the median is the middle set of data.
Step-by-step explanation:
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answers
Answer:
B.
Step-by-step explanation:
What is the area of the right trapezoid?
A) 28 square inches
B) 35 square inches
C) 56 square inches
D) 70 square inches
Answers
Answer:
c
Step-by-step explanation:
because are of trapizium =( a+b/2) × h
Given U = { a,b,c,d,e,f,g,h,i} P = {a,e,i} and Q = { b, a, g} List the elements of P' *
1 point
{b,c,d,f,g,h}
{a,e,i}
{b,a,g}
{a,b,c,d,e,f,g,h,i}
If A = { 1,2,3} and B = {2,1,3} . A and B are said to be *
1 point
equal sets
equivalent sets
empty set
finite sets
P = { 2,4,6,8} and Q = { a,b,c,d} . Will P =Q *
1 point
True
False
T={ colours of the rainbow} This an example of *
1 point
Choose
B = set of letters in the word ENGLISH. then n(B) = *
1 point
6
7
5
8
What type of set is shown in the diagram below? *
1 point

equal
disjoint
equivalent
infinite
R = { cars that fly}. R is an _____________ set *
1 point
empty
equivalent
equal
infinite
If P={m,n,l,} determine the number of subsets that can be formed from P *
1 point
4
12
8
16
Convert 17/3 to a mixed number *
2 points
5 2/3
10/3
3 1/3
51/3
48/60 reduced to its lowest term = *
2 points
12/15
4/5
10/14
3/4
Name the angles below in the order given *
3 points

right, acute, reflex
acute, right, obtuse
reflex, straight, full
obtuse, right, acute
What is the size of the missing angle? *
2 points

90
220
140
100
What is the size of y? *
2 points

115
245
295
65
What type of triangle is shown below? *
1 point

Equilateral
Isosceles
Right angled
Scalene
Calculate the value of x *
3 points

65
245
112
133
Calculate the value of x *
3 points

112
22
158
180
What is the value of e? *
3 points

65
130
50
100
A quadrilateral with two pairs of parallel sides and all angles equal is called a _____________ *
1 point
parallelogram
rectangle
trapezium
kite
*
3 points

75
100
260
50
*
3 points

129
309
160
51
*
3 points

120
128
52
90
Answers
Step-by-step explanation:
Given U = { a,b,c,d,e,f,g,h,i} P = {a,e,i} and Q = { b, a, g} List the elements of P' *
1 point
{b,c,d,f,g,h}
{a,e,i}
{b,a,g}
{a,b,c,d,e,f,g,h,i}
since P and Q share the same letter you're putting “A” in the middle where the two intersect. since U have B and Q have b we're putting it outside. so Q only supposed to have G. P is empty and U now have B,C,D,F,H.
p^1- p complement means everything outside of P so that will be b,c,d,f,g,h.
Factorize (4y-5)²+80y
Answers
Answer:
16y^2+40y+25
Step-by-step explanation:
[tex] {16y}^{2} + 40y + 25[/tex]
Step-by-step explanation:
(4y−5)^2+80y
Use binomial theorem (a−b)^2=a^2−2ab+b^2 to expand (4y−5)^2.
16y^2−40y+25+80y
Combine −40y and 80y to get 40y.
16y^2+40y+25
"Expand the brackets and simplify" (please i need help asap)
Answers
ok, b)
you can times anything inside bracket by 8. so, 8r -40 + 12
You can simplify to 8r - 28.
d)
You can rearrange it to 6a + 12a -12/3 -15/3
= 18a - 27/3
If Alfie tosses the paper cup more times, what is the expected number of times that the cup will land on its side?
Answers
Question:
Alfie tossed a paper cup in the air 150 times and recorded the side it landed on.
Right side up = 60 Upside down = 53 Side = 37
If Alfie tosses the paper cup 100 more times what is the expected number of times the cup will land on its side?
Answer:
The expected number of times the cup will land on its side is 25 times
Step-by-step explanation:
Given
[tex]Right = 60[/tex]
[tex]Upside\ down = 53[/tex]
[tex]Side = 37[/tex]
Required
First, we calculate the probability of landing on side
[tex]P(Side) = \frac{n(Side)}{Total}[/tex]
[tex]P(Side) = \frac{37}{150}[/tex]
[tex]P(Side) = 0.247[/tex]
Next, we calculate the expected value; E(x) using:
[tex]E(x) = n * P(x)[/tex]
When tossed 100 more times:
n = 100 and P(x) = P(Side) = 0.247
So:
[tex]E(x) = 100 * 0.247[/tex]
[tex]E(x) = 24.7[/tex]
[tex]E(x) = 25[/tex] --- approximated
Hence, it is expected that it will land on its side 25 times
what is the missing value in the equivalent ratio 18:27= 16:__
answer choices:
a:24
b:25
c:26
Answers
find the area plz and thank u have explanation
Answers
Step-by-step explanation:
a pentagon is 5 equilaterial triangles meaning you would use the formula of area of a triangle and multiply that by 5.
422.5m^2 is the answer
Please help me in number 34 please!!!!
Answers
Answer:
D
Step-by-step explanation:
use math wwwway , it gives ypu the answer and explenation
factor the polynomial
Answers
Answer:
Step-by-step explanation:
[tex]6a^2-13ab-5b^2\\ \\ 6a^2+2ab-15ab-5b^2\\ \\ 2a(3a+b)-5b(3a+b)\\ \\ (2a-5b)(3a+b)[/tex]
PLEASE HELP ME!!!
Determine whether the function rule models discrete or continuous data.
Function # 1: A movie store sells DVDs for $15 each. The function C(d) = 15d relates the total cost of movies to the number purchased d.
Function # 2: A produce stand sells roasted peanuts for $2.99 per pound. The function C(p) = 2.99p relates the total cost of the peanuts to the number of pounds purchased p.
A.) Functions # 1 models discrete data. Function # 2 models continuous data.
B.) Functions # 1 models continuous data. Function # 2 models continuous data.
C.) Functions # 1 models continuous data. Function # 2 models discrete data.
D.) Functions # 1 models discrete data. Function # 2 models discrete data.
Answers
Answer:
the answer is a tell me if this helps!!
if i had 8 cents and i divied it bye 8 how much will it be help
Answers
Answer:
1 simple
Step-by-step explanation:
What is the value of x?
Answers
Answer:
25
Step-by-step explanation:
plz help i really need it
n/5 - 3 = -6
A) -20
B) -2
C) 15
D) -15
Answers
Hope this helps :)
Answer:
D
Step-by-step explanation:
n/5 = -3
n = -3 x 5
n = -15