Answers
Answer:
f(x)= -(x-2)^2+2
Step-by-step explanation:
the same valuve needs the be added to both sides
f(x)+?= -x^2+4x+?-2
to complete the square -x^2+4x-4= -(x-2)^2 add the -4 to the expression
f(x)+?= -x^2+4x-4-2
since -4 was added to the right side, also add -4 the the left side
f(x)-4= -x^2+4x+?-2
now factor out the negative sign from the expression
f(x)-4= -(x^2-4x+4)-2
using a^2-ab+b^2=(a-b)^2
f(x)-4= -(x-2)^2-2
move the constant the the right side and change its sign
f(x)= -(x-2)^2-2+4
now calculate the sum
f(x)= -(x-2)^2+2
Related Questions
Mark and his brother signed up for the Catch Up phone plan. They share the minutes every month equally. How many minutes can Mark use each day without going over his share
Answers
Answer:
12 minutes.
Step-by-step explanation:
HELP PLS I GIVE ALL MY MONEY
Suppose the linear cost function C(x) = 6x gives the cost for buying x items. If the items are sold in packages of 10, and no one can buy more than 5 packages, then the RANGE of the function C is
Answers
Answer:
The range of C is :60≤C≤300
Now I need all your money like you said you would give me :)
Step-by-step explanation:
And i need brainliest
Find the mass of the object if it has a volume of 20 mL and a density of 3 g/mL.
Answers
Answer:
60 g
Step-by-step explanation:
Use the density formula, D = m/v, where m is the mass and v is volume
Plug in the volume and density, then solve for the mass:
D = m/v
3 = m/20
60 = m
So, the mass is 60 g
Volume of object = 20 mL
Density of object = 3 g/mL
To Find :We have to find mass of the object[tex].[/tex]
Solution :★ Density is defined as the mass of object per unit volume.
It is a scar quantity having only magnitude.
Mathematically, ρ = M/V
ρ denotes densityM denotes massV denotes volumeBy substituting the values, we get
⭆ 3 = M/20
⭆ M = 3 × 20
⭆ M = 60 g
∴ Mass of the object is 60g.
Hope It Helps!b) Identify three common multiples of
54 and 36
Answers
Answer:
3, 2, 6
Step-by-step explanation:
( 4.5 x 10 ⁴ ) ÷ (300) =
Answers
Answer:150
Step-by-step explanation:
Answer:
150
Step-by-step explanation:
what’s the sum of g and -7
Answers
I don’t understand the question.
Which expression is equivalent to (cd)5
Answers
Answer:
A
Step-by-step explanation:
Laina reads 25 : 30
If laine reads 200 pages at the same rate how long will it take her
Answers
Answer:
i sorry but idk the annswer
Answer:
240
Step-by-step explanation:
200/25=8
30x8=240
hope this helps i didn't really understand the question much
Find the exact length of the third side. 2 4
Answers
Answer:
There isn't enough information on this question
Step-by-step explanation:
write down two prime numbers that have a sum of 32
Answers
Answer:
3 and 29
OR
13 and 19
Step-by-step explanation:
3+29=32
OR
13+19=32
Note: Prime numbers are those that can only be divided by one or itself!
Please help with this question.
Answers
Answer:
teqawg veqwargth4ve fqhvreh
Step-by-step explanation:
aferd thgaReghaergheargh
Let f(x)=x2−18 and g(x)=17−x. Perform the composition or operation indicated.
f/g(−8)
Answers
Answer:
[tex]2x - 18 \div 17 - x = 2( - 8) - 18 \div 17 - ( - 8) \\ - 16 - 18 \div 17 + 8 \\ = - 34 \div 25[/tex]
Elias bought 7 new shirts for school.
Five shirts cost $60.90. He also bought
a pair of pants for $14.99. Without tax,
what is the total amount Elias spent?
Answers
Answer:
$100.25
Step-by-step explanation:
This question says that 5 shirts cost $60.90, so you would divide the two numbers to find out the price of 1 shirt
$60.90÷5=$12.18
Then you would just solve this equation
T=$12.18x+$14.99
T= Total Money Spent
x= Number of Shirts
Plug in the 7 shirts and solve
T=$12.18(7)+$14.99
T=$85.26+$14.99
T=$100.25
A group of friends bought 6 movie tickets. they used a coupon for $2.00 off the cost of one of the tickets, and their total cost with the coupon was $50.50. write an equation that can be used to determine the regular cost C of each movie ticket
Answers
Answer:
each ticket is $8.75
Step-by-step explanation:
c=8$8.75
The equation that can be used to determine the cost of each movie ticket is C = $48.50 / 6.
What is the equation that can be used to determine the cost of each movie ticket?Total cost of the 6 movie tickets = (6 x cost of each ticket) - value of one coupon
50.50 = 6C - $2
Combine similar terms
$50.50 - $2 = 6C
$48.50 = 6C
Divide both sides of the equawtion by 6
C = $48.50 / 6
To learn more about division, please check: https://brainly.com/question/194007
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3)h-6)=2(5-2h) what’s h
Answers
Answer:
h=4
Step-by-step explanation:
3h-18=10-4h
-18=10-7h
-28=-7h
-h=-7
h=7
need a lil help.. EDGE2020
Answers
Answer:
2nd option
Step-by-step explanation:
2 parts ginger ale to 3 parts raspberry juice
Which of the following is the equation of the line that passes through the points (−3,4) and (6, 7)?
A. y = 1/3x + 5
B. y = 3x – 11
C. y = -1/3x + 9
D. y = -3x + 25
Answers
What is the fraction in simplest form?
14/16
7/8
28/32
7/16
7/9
Answers
Answer:
7/8
Step-by-step explanation:
Question 6
Which number has the lowest value?
A 0.30 +0.54 +0.13
B 0.10 +0.66 +0.25
C 0.23 +0.23 +0.45
0.30+ 0.41 +0.23
Answers
Answer: C.
Step-by-step explanation: You add all the numbers in A, B, C. Then look at which one has the lowest value.
A. is .97
B. is 1.01
C. . is .91
D. is .94
So C. has the lowest value
The number which has the lowest value is 0.23 +0.23 +0.45, the correct option is C.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
A 0.30 +0.54 +0.13
B 0.10 +0.66 +0.25
C 0.23 +0.23 +0.45
0.30+ 0.41 +0.23
Now
A 0.30 +0.54 +0.13=0.97
B 0.10 +0.66 +0.25=1.01
C 0.23 +0.23 +0.45=0.91
0.30+ 0.41 +0.23=0.94
Therefore, the algebra with lowest value will be 0.23 +0.23 +0.45
More about the Algebra link is given below.
brainly.com/question/953809
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In a group of students, 30 played chess, 19 played volleyball, 25 played
basketball, 14 played both volleyball and chess, 8 played both baskethall
and volleyball, 15 played both basketball and chess and 5 played both
three events. How many played chess only, basketball only and volleyball
only? How many students are there in all?
Answers
Answer:
Explained below.
Step-by-step explanation:
Denote the events as follows:
C = chess
V = volleyball
B = basketball
The data provided is as follows:
n (C) = 30
n (V) = 19
n (B) = 25
n (C ∩ V) = 14
n (B ∩ V) = 8
n (B ∩ C) = 15
n (C ∩ V ∩ B) = 5
Consider the Venn diagram below.
The number of students who played only chess is marked in pink:
n (Only C) = 6
The number of students who played only volleyball is marked in blue:
n (Only V) = 2
The number of students who played only basketball is marked in orange:
n (Only B) = 7
The number of students who played all three is marked in grey:
n (C ∩ V ∩ B) = 5
Which statement is an example of the distributive property?
O 3+ (2)(15) = 3(2) + 3(15)
3(2 + 15) = 3 + 2(3) + 15
3(2 + 15) = 3(2) + 3(15)
03(2 + 15) = 3(2) + 15
Answers
Answer:
3(2+15)= 3(2) + 3(15)
Step-by-step explanation:
Keith Hernandez has asked Jerry and Kramer to help him move into a new apartment on Sunday morning. He has asked them both in case one of them does not show up. From past experience, Keith knows that there is a 41% chance that Jerry will not show up and a 31% chance that Kramer will not show up. Even though Jerry and Kramer know each other, their decisions can be assumed to be independent.
a. What is the probability that both Jerry and Kramer will show up? (Round your answer to 2 decimal places.)
Probability
b. What is the probability that at least one of them will show up? (Round your answer to 2 decimal places.)
Probability
c. What is the probability that neither Jerry nor Kramer will show up? (Round your answer to 2 decimal places.)
Probability
Answers
Answer:
a. 0.41
b. 0.87
c. 0.13
Step-by-step explanation:
From the above question:
We are told that:
Probability that Jerry will not show up = 41% = 0.41
Probability that Jerry will show up =
100 - 41 = 59 = 0.59
Probability that Kramer will not show up = 31% = 0.31
Probability that Kramer will show up
= 100 - 31 = 69% = 0.69
Even though Jerry and Kramer know each other, their decisions can be assumed to be independent.
a. What is the probability that both Jerry and Kramer will show up? (Round your answer to 2 decimal places.)
= P(A) × P(B)
= Probability the Jerry will show up × Probability that Kramer will show up
= 0.69 × 0.59
= 0.4071
≈ 2 decimal places = 0.41
b. What is the probability that at least one of them will show up? (Round your answer to 2 decimal places.)
Probability = 1 - the probability that both Jerry and Kramer will not show up
= 1 - (0.41 × 0.31)
= 1 - 0.1271
= 0.8729
Approximately to 2 decimal places = 0.87
c. What is the probability that neither Jerry nor Kramer will show up? (Round your answer to 2 decimal places.)
Probability = Probability the Jerry will not show up × Probability that Kramer will not show up
= 0.41 × 0.31
= 0.1271
To 2 decimal places = 0.13
1. (12 points) The tennis team at Taft High School has 8 players, and the tennis team at McKinley High School has 7 players. Rebecca is on the team at Taft, and her sister Leah is on the team at McKinley. The two teams are going to play a tournament with 4 rounds. In each round, one player from Taft will play a match against one player from McKinley. Each player can play in at most one match. A schedule for the tournament consists of an ordered list of the names of the players from each school who will play in each of the four rounds. The schedule does not include the results of each match. (a) How many schedules are there?
Answers
Complete Question
1. (12 points) The tennis team at Taft High School has 8 players, and the tennis team at McKinley High School has 7 players. Rebecca is on the team at Taft, and her sister Leah is on the team at McKinley. The two teams are going to play a tournament with 4 rounds. In each round, one player from Taft will play a match against one player from McKinley. Each player can play in at most one match. A schedule for the tournament consists of an ordered list of the names of the players from each school who will play in each of the four rounds. The schedule does not include the results of each match.
(a) How many schedules are there?
(b) How many schedules include neither sister?
Answer:
a
[tex]N = 1,411,200[/tex]
b
[tex]M = 302, 400[/tex]
Step-by-step explanation:
From the question we are told that
The number of players in Taft High School is t = 8
The number of players in McKinley High School is k = 7
The number of rounds is n = 4
The highest number of match each player can play is w = 1
Generally the total number of schedules is
[tex]N = ^tP_4 * ^k P_4[/tex]
[tex]N = ^8P_4 * ^7 P_4[/tex]
=> [tex]N = \frac{8!}{(8-4)!} * \frac{7!}{(7-4)!}[/tex]
=> [tex]N = \frac{8!}{4!} * \frac{7!}{3!}[/tex]
=> [tex]N = \frac{8*7 *6*5*4*3*2*1}{4*3*2*1} * \frac{7*6*5*4*3*2*1}{3*2*1}[/tex]
=> [tex]N = 1,411,200[/tex]
Generally the number of schedules that include neither of the sisters is mathematically represented as
[tex]M= \ ^{t-1}P_4 *\ ^ {k-1} P_4[/tex]
[tex]M= \ ^{8-1}P_4 *\ ^ {7-1} P_4[/tex]
=> [tex]M= \ ^{7}P_4 *\ ^ {6} P_4[/tex]
=> [tex]M = \frac{7!}{(7-4)!} * \frac{6!}{(6-4)!}[/tex]
=> [tex]M = \frac{7!}{3!} * \frac{6!}{2!}[/tex]
=> [tex]M = \frac{7 *6*5*4*3*2*1}{3*2*1} * \frac{6*5*4*3*2*1}{2*1}[/tex]
=> [tex]M = 302, 400[/tex]
The coefficient is always between which two numbers
Answers
Answer:
The correlation coefficient always takes a value between -1 and 1, with 1 or -1 indicating perfect correlation
Step-by-step explanation:
Answer:
-1 and 1, with 1 or -1
Step-by-step explanation:
The correlation coefficient always takes a value between -1 and 1, with 1 or -1
Find the value of x (5x+4) (8x-71)
Answers
Answer:
8.89793770
Step-by-step explanation:
Simplify the following expression.
44[(9 + 3) + 72 - 6 * 2.5 - 19] - [42 - 3(77 + (3.5 2)) - 9]
Answers
The value of the expression is 2419.
The required answer is 2400.5
What is simplification?Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus.
Now the given expression is,
44[(9 + 3) + 72 - 6 * 2.5 - 19] - [42 - 3(77 + (3.5 - 2)) - 9]
It can be simplified using PEMDAS rule.
P is parenthesis
E is exponents
M is multiplication
D is division
A is addition
S is subtraction
Firstly we will solve parenthesis, thus
44[(9 + 3) + 72 - 6 * 2.5 - 19] - [42 - 3(77 + (3.5 - 2)) - 9]
= 44[(12) + 72 - 6 * 2.5 - 19] - [42 - 3(77 + (1.5)) - 9]
= 44[12 + 72 - 6 * 2.5 - 19] - [42 - 3(78.5) - 9]
Now we will solve multiplication,
= 44[12 + 72 - 15 - 19] - [42 - 235.5 - 9]
Now we will solve addition,
= 44[84 - 15 - 19] - [42 - 235.5 - 9]
Now we will solve subtraction,
= 44[84 -34] - [42 - 244.5]
= 44[50] - [42 - 244.5]
= 44[50] - [-200.5]
= 2200+ 200.5
= 2400.5
Thus, the required answer is 2400.5
To learn more about simplification :
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1/3 + 5 3/4 pls I rlly need help
Answers
Answer:
6 1/12
Step-by-step explanation:
Make 1/3 and 3/4 have the same denominator.
1/3 times 4/4 is 4/12
3/4 times 3/3 is 9/12
4/12 + 9/12 = 13/12 = 1 1/12
1 1/12 +5 = 6 1/12
6.08333333333333333333333333333333333333333333
find the unkown angle of a triangle
Answers
Step-by-step explanation:
Find
Triangle A(because there are two triangles)
take 28°+39°=67°
an angle is 180° in total so you take
180°-67°=113°
Angle x = 113°
Angle y = 67°
Triangle B
64°+67° = 131°
180°-131°=49°
Angle z =49°
What is the value of the expression 1/3^−5 ?
Answers
Answer:
243
Step-by-step explanation:
hope its right
If f(x) = 22 – 4x – 5, find the following:
a. f(-2)
b. f (10)
.c. f(0)
Answers
Answer:
a.25
b.-23
c.17
Step-by-step explanation:
Plug each value in for x and solve
