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
A bag contains a collection of distinguishable marbles. The bag has three red marbles, five green ones, one lavender one, two yellows, and six orange marbles.
How many sets of four marbles include exactly two green marbles? (Note that this means there must be two other non-green marbles as well).
Answers
Answer:
The total number of sets is 2,640.
Step-by-step explanation:
The number of marbles in the bag are:
S = {3R, 5G, 1L, 2Y and 6O}
There are a total of N = 17 marbles in the bag.
Four marbles are randomly selected.
Assume that the selection was without replacement.
It is provided that two of the marbles are green.
And the remaining two are non-green.
A sample of the selection is as follows:
G, G, _, _
The two green marbles can be selected in 5 × 4 = 20 ways.
So, the remaining two marbles cannot be green.
That leaves us with: 3R, 1L, 2Y and 6O = 12 marbles.
The third marble can be selected in 12 ways.
And the fourth marble can be selected in 11 ways.
So the number of combinations of selecting 4 marbles such that 2 are green and 2 are non-green is:
Total number of sets = 5 × 4 × 12 × 11 = 2640
Thus, the total number of sets is 2,640.
A rectangular garden is fenced on all sides with 278 feet of fencing. The garden is 9 feet longer than it is
wide. Find the length and width of the garden.
Answers
Answer:
Length = 74 feet,
Width = 65 feet
Step-by-step explanation:
If length = l, width = w;
l = 9 + w (Given)
2l + 2w = 278 (Definition of perimeter)
Substitute "9 + w" for l in the second equation;
2(9 + w) + 2w = 278 -> Distribute the "2"
18 + 2w + 2w = 278 -> Combine like terms
18 + 4w = 278 -> Subtract 18 on either side
4w = 260 -> Divide either side by 4
w = 260/4 = 65 feet
l = 9 + 64 = 74 feet
HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Hello, I think you forgot to attach a picture
Step-by-step explanation:
When you're about ask a question there's a little thing that looks like a paper clip then you press that and attach your picture :)
If x = 6 and y = 2, how much less is 2x+y^2 than 6x-2y^2
(the "^2" is an exponent of 2)
Answers
Answer:
8
Step-by-step explanation:
2x=12 2^2=4 6x=36
12+4=16 2^2=4 2*4=8 36-8=28
28-16=8
1. What are the opposite and absolute value of:
a) 7.2 ____,____ b) -3.5 ____, ____ c) 5 ½ ____,____
Answers
Answer:
a) 7.2, -7.2, 7.2
b) -3.5, 3.5, 3.5
c) 5 1/2, -5 1/2, 5 1/2
Step-by-step explanation:
The opposite number of a value is the number that adds to it to make zero. To find the opposite of a number you need to switch the sign, either from positive to negative or vice versa. The absolute value of a number is the distance from zero it is. Since distance cannot be negative you just need to take the number and make it positive.
Evaluate the given expression at x= -4
-3x + 2x^2 + 2
Answers
Answer:
[tex] \huge{ \boxed{ \bold{ \text{46}}}}[/tex]
Step-by-step explanation:
If the value of variables of algebraic expression are given, the value of the term or expression can easily obtained by replacing the variables with numbers.
[tex] \text{ \underline{ Given}} : \text{x = - 4}[/tex]
[tex] \text{ \underline{ To \: find}} : \sf{value \: of \: - 3x + 2 {x}^{2} + 2}[/tex]
[tex] \text{ Plug \: the \: value \: of \: x}[/tex]
[tex]➝ \: \sf{ - 3 * (- 4 )+ 2 * {( - 4)}^{2} + 2}[/tex]
[tex] \text{Remember!} : \text{Multiplying \: a \: negative \: integer \: by \: negative \: integer \: gives \: a \: positive \: integer.}[/tex]
➝[tex] \sf{12 + 2 * {( - 4)}^{2} + 2}[/tex]
[tex] \text{Evaluate \: the \: power}[/tex]
➝[tex] \text{12 + 2 * 16 + 2}[/tex]
[tex] \text{Multiply \: the \: numbers}[/tex]
➝[tex] \text{12 + 32 + 2}[/tex]
[tex] \text{Add \: the \: numbers}[/tex]
[tex]➝ \boxed { \text{46}}[/tex]
[tex] \text{Hope \: I \: helped!}[/tex]
[tex] \text{Best \: regards!}[/tex]
~[tex] \text{TheAnimeGirl}[/tex]
Answer:
46
Step-by-step explanation:
-3(-4)+2(-4)^2+2
PLEASSSSSSSSEE HELP GIVING OUT BRAINLIEST
Answers
Answer:
what type of help do you want?
please help ):
thank you
Answers
Answer:
A
Step-by-step explanation:
Ya Welcome
Answer:
I think its A
Step-by-step explanation:
hope this helps some
find the value of x.
I need to show my work***
THANK YOU
Answers
Answer:
29 = x
Step-by-step explanation:
The two angles shown are vertical angles and vertical angles are equal
59 = 2x+1
subtract 1 from each side
59-1 = 2x+1-1
58 = 2x
Divide by 2
58/2 = 2x/2
29 = x
How many terms are in the expression shown?
2n + 5 – 3p + 4q
Answers
Answer:
4 terms
Step-by-step explanation:
N, number, p , and q. Good luck!
Answer:
4
Step-by-step explanation:
a term is either a single number or variable, or numbers and variables mutiplied together.
What is.. 4x-2=(x+3)+2
Answers
Answer:
x = 7/3
Step-by-step explanation:
4x - 2 = x + 3 + 2
4x - 2 = x + 5
Rearranging the terms, we get,
4x - x = 5 + 2
3x = 7
x = 7/3
Hence, x = 7/3.
1.634 x 2
show your work for brainliest please!
Answers
x. 2
———
3.268
Answer: 3.268
Answer:
3.268
Step-by-step explanation:
line up the decimals. we know that since 2 is a whole number the decimal will be behind the 2 making it 1.634 x 2.000. you can waste paper multimplying by 0, 3 times. Instead add focus on the 2 and the other numbers.
1.634
x 2.000
2x4, 2x3, 2x6, and 2x1
be sure to carrying your numbers and you will get 3268 + 0 + 0 + 0. from here there are 2 numbers behind the decimal so move the decimal left 3 places
3268.0 = 3.268
hope this helps!
At an archeological site, the remains of two ancient step pyramids are congruent. If ABCD~=EFGH, find AD
(Diagrams are not to scale)
AD= ? ft
Answers
Answer: 300ft
Step-by-step explanation:
Shawna wants to purchase some shorts and a few pairs of socks. The shorts cost $10 and a pair of socks cost three dollars. Shawna can spend them no more than $45.
Let’s see represent the number of shorts purchased and Kay represent the number of pairs of socks purchased.
Which in quality represents the situation?
Answers
Answer:
The answer - C
Step-by-step explanation:
c- number of shorts
k - number of socks
10 shorts and 3 socks
10c+3k
no more than $45
no more than is a characteristic of less than or equal to.
10c+3k ≤ 45
And obviously, that isn't an answer choice so you have to switch the sign so it looks like this:
45≥10c+3k
Some softball players hit a softball. Amalia hit the softball 36 inches. Nick hit the softball 6 feet. Lila hit the softball 108 inches. Pablo hit the softball 2 yards. Which two players hit the softball the same distance?
Answers
Answer: Nick and Pablo
Step-by-step explanation:
6 feet and 2 yards are the same distance because each yard is 3 feet
Answer:
6 feet 2 yards
Step-by-step explanation:
Hey, did you hear what Joe did?
Answers
Answer:
joe?
Step-by-step explanation:
Point G(-3,2) is translated using the rule (x+10, y-6). What is the x-coordinate of G'? Enter your answer in the box.
Answers
Answer:
7 is the Anwser
Step-by-step explanation:
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
Find the sum 0.34 + 0.05
Answers
Answer:
0.39
Step-by-step explanation:
You are welcome...
A public health department wants to determine the rate that parents of teen boys are choosing to vaccinate their sons for HPV within the state of Indiana. They conduct a survey of 64 randomly selected families of teen boys.They found that 12% of families had chosen to vaccinate. Which of the following is true?A. The 95% confidence interval is 12% ± the margin of error*standard deviationB. The confidence interval should not be calculated due to the small sample sizeC. A 99% confidence interval will be smaller than the 90% confidence intervalD. The central limit theorem applies to proportions only when the population standard deviation is known
Answers
Answer:
The correct option is B
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 64[/tex]
The proportion that choose to vaccinate the teen boys is [tex]\r p = 0.12[/tex]
considering the first statement
The 95% confidence interval is 12% ± the margin of error*standard deviation is false because
The 95% confidence interval is is %12 ± the margin of error
considering the second statement
The confidence interval should not be calculated due to the small sample size is true because from the central limit theorem
np = 64 * 0.12 = 7.68
and this value is less than 10 hence the confidence interval should not be calculated
considering the third statement
A 99% confidence interval will be smaller than the 90% confidence interval is false
This is because as the confidence level increase (for example from 90% to 99%) the margin of error increase which increases the confidence interval
anyone mind helping? i want to sleep Given: BA is congruent to BC prove angle 1 is congruent to angle 3.
Answers
Answer:
Given that BA = BC which shows that ΔABC is isosceles
And, ∠1 Represents BC
and, ∠2 Represents BA
And as BC and BA are equal, we come to know that ∠1 and ∠2 are equal
∠2 = ∠3 because they are opposite angles.
Therefore we can conclude that ∠1 and ∠3 are congruent because ∠1 =∠2 which ∠2 = ∠3 So, ∠1 = ∠3
If my answer helped, please mark me as the brainliest!!
Thank You!
Answer:
see below
Step-by-step explanation:
since ∠1 ≅ ∠2
opposite angles are equal
therefore, ∠2 ≅ ∠3
What's 11/14 plus 2/7
Answers
Answer:
15/14 or 1 1/14
Step-by-step explanation:
11/14+2/7=
11/14+4/14=
15/14=
1 1/14
Answer:
Step-by-step explanation:
11/4 + 2/7 = 77/28 + 8/28 = 85/28
you borrow $5,860 from a bank you will have monthly payments of $205.10 for 3 years what percent will you pay back in interest over the entire period of the loan
Answers
Answer:
26%
Step-by-step explanation:
Your 36 monthly payments will total ...
36 × $205.10 = $7383.60
$5860 of that is the amount you borrowed. The remainder is the interest you pay:
$7383.60 -5860 = $1,523.60
As a percentage of the original loan amount this is ...
$1523.60/$5860 × 100% = 26%
You pay back 26% of the original loan amount in interest.
Multiply Decimals Q2 Rachel purchases 13 gallons of gas at $2.89 per gallon. How much money does she spend? Round to the nearest cent if necessary. $37.57 $26.89 $38.12 $375.70
Answers
Answer:
b
Step-by-step explanation:
hope this helps you get a good grade on the quiz ect
a Math
What is the angle of C (ZC)?
who
65°
65°
Use the keypad to put your answer in the box
Answers
The line at the bottom is a 180°. So if you add the two angels you already know (65+65) it’s 130. subtract 180-130=50.
A job posting is searching for runway models to walk in a designer fashion show. The posting states that the preferred model should be no more than 2 inches away from being 5 feet 11 inches. Write and solve an absolute value inequality that can be used to determine the height range, in inches, of a preferred model. Graph the solution set on a number line.
Answers
Answer:
70 ≤ x ≤ 74
Step-by-step explanation:
5 feet 11 inches = (5 x 12 inches) + 11 inches
= 72 inches
Since the preferred model should not be no more than 2 inches away from 72 inches, then;
72 inches ± 2 inches
Let the required height be represented by x, the absolute value inequality is;
lx ± 2l ≤ 72
x + 2 ≤ 72
x ≤ 72 - 2
x ≤ 70
Also,
x - 2 ≤ 72
x ≤ 72 + 2
x ≤ 74
Therefore, the preferred height range in inches is;
70 ≤ x ≤ 74
The graph is herewith attached to this answer.
How many seconds equal 3 hours and 17 minutes?
11,820 seconds
1,020 seconds
3,060 seconds
197 seconds
Answers
Answer:
option A 11820 ok thankyou ☺️
Pls help I will give out points and make u the Brainly
Answers
Answer:
x=4
Step-by-step explanation:
thats the answer ^^
Answer:
its the second one
Here is a list of numbers:
-8, -4, -13, 19, -5, 10, -15 ,20 ,12 ,16
State the median.
Answers
Answer:
-4 and 10
Step-by-step explanation:
USE THE INFO BELOW TO SOLVE
Step-by-step explanation:
The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. The median is sometimes used as opposed to the mean when there are outliers in the sequence that might skew the average of the values.
need more help?
pics are below for more examples.
:)
Tyrell filled his 290
gallon pool with water
in 5 hours. How many
gallons per hour did
he use?