a^2-2(a+b)-b^2 plz can anyone solve this factorization
Answers
Step-by-step explanation:
Hope it helps If u have any confusion regarding this kindly inform me , i will try my best to answer
[tex]\tt\displaystyle\ \star a^2-b^2=(a-b)(a+b)\star\\\\ a^2-2(a+b)-b^2=a^2-b^2-2(a+b)=\\\\\underline{(a+b)}(a-b)-2\underline{(a+b)}=\boxed{(a+b)(a-b-2)}[/tex]
Related Questions
A candidate for one of Ohio's two U.S. Senate seats wishes to compare her support among registered voters in the northern half of the state with her support among registered voters in the southern half of the state. A random sample of 2000 registered voters in the northern half of the state is selected, of which 1062 support the candidate. Additionally, a random sample of 2000 registered voters in the southern half of the state is selected, of which 900 support the candidate. A 95% confidence interval for the difference in proportion of registered voters that support this candidate between the northern and southern halves of the state is:
Answers
Answer:
The 95% confidence interval for the difference in proportion of registered voters that support this candidate between the northern and southern halves of the state is (0.05, 0.112).
Step-by-step explanation:
Before building the confidence interval, the central limit theorem and subtraction of normal variables is explained.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Northern half:
1062 out of 2000, so:
[tex]p_N = \frac{1062}{2000} = 0.531[/tex]
[tex]s_N = \sqrt{\frac{0.531*0.469}{2000}} = 0.0112[/tex]
Southern half:
900 out of 2000, so:
[tex]p_S = \frac{900}{2000} = 0.45[/tex]
[tex]s_S = \sqrt{\frac{0.45*0.55}{2000}} = 0.0111[/tex]
Distribution of the difference:
[tex]p = p_N - p_S = 0.531 - 0.45 = 0.081[/tex]
[tex]s = \sqrt{s_N^2 + s_S^2} = \sqrt{0.0112^2 + 0.0111^2} = 0.0158[/tex]
Confidence interval:
The confidence interval is:
[tex]p \pm zs[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower bound of the interval is:
[tex]p - zs = 0.081 - 1.96*0.0158 = 0.05[/tex]
The upper bound of the interval is:
[tex]p + zs = 0.081 + 1.96*0.0158 = 0.112[/tex]
The 95% confidence interval for the difference in proportion of registered voters that support this candidate between the northern and southern halves of the state is (0.05, 0.112).
[tex]\frac{\sqrt{x} +1}{x-\sqrt{x} +1}[/tex] Với x≥0. Tìm GTLN
Answers
Answer:
Step-by-step explanation:
[tex]\frac{\sqrt{x}+1 }{x-\sqrt{x}+1 }=\frac{\sqrt{x}+1}{(x+1)-\sqrt{x}}\\\\=\frac{(\sqrt{x}+1)([x+1]+\sqrt{x})}{([x+1]-\sqrt{x})+([x+1)+\sqrt{x}])}\\\\=\frac{\sqrt{x}*x+\sqrt{x}*1+\sqrt{x}*\sqrt{x}+1*x+1*1+1*\sqrt{x}}{(x+1)^{2}-(\sqrt{x})^{2}}\\\\\\=\frac{x\sqrt{x}+\sqrt{x}+x+1+x+\sqrt{x}}{x^{2}+2x+1-x}\\\\=\frac{x\sqrt{x}+2\sqrt{x}+2x+1}{x^{2}+x+1}\\\\[/tex]
Since opening night, attendance at Play A has increased steadily, while attendance at Play B first rose and then fell. Equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. On what day(s) was the attendance the same at both plays? What was the attendance?
Play A: y=25x+136
Play B: y=-x^2+44x+76
Answers
Answer: Day 4 and 15
Step-by-step explanation:
Set up system of equations:
[tex]25x+136=-x^2+44x+76[/tex]
Simplify:
[tex]x^2-19x+60=0[/tex]
Factor: Both factors must be positive as the days can only be natural numbers.
[tex](x-15)(x-4)=0[/tex]
x=4,15
Please help me i need this
fast
Answers
Answer:
just restart your device
pls helppppppp it’s due in 20 minutes
Answers
Answer:
hope this helps you
havea great dayy
Answer:
39
Step-by-step explanation:
3(6m-17)
3(30-17)
3(13)
39
A number added to -25 results in an even less
value. Which of the following could be that
number? Select all that apply and model the situation to prove your choice(s).
a) 3
b) 2
c) 1
d)0
e)-1
f)-2
g) -3
Answers
Not A because: -25+3= -22 which is more than -25
Not B because: -25+2=-23 which is more than -25
Not C because: -25+1=-24 which is more than -25
Not D because: -25+0=-25 which is not less than -25
E because: -25+-1=-26 which is less than -25
F because: -25+-2=-27 which is less than -25 G because: -25+-3=-28 which is less than -25
a person has 2 balls, a second one had (2)^2 = 4 balls, a third had (4)^2 = 16, how many balls will the tenth person have?
Answers
Answer:
256
Step-by-step explanation:
because all of them are squared so
2^2= 4 balls
2 x 2
4^2 = 16 balls
4 x 4
16^2 = 256 balls
16 x 16
Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
Answers
Answer: 9ft
One side is given 16ft
The other is 7ft
The 7ft is in the same length of the 16ft line
So 16-7 = 9ft
Must click thanks and mark brainliest
last one! 50 points!
Answers
Answer:
sin theta = -2 sqrt(14)/15
Step-by-step explanation:
cos theta = adj / hyp
We can find the opp side by using the Pythagorean theorem
adj ^2 + opp ^2 = hyp^2
(-13)^2 + opp ^2 = 15^2
169 + opp ^2 = 225
opp ^2 = 225 -169
opp ^2 =56
Taking the square root of each side
sqrt( opp^2) = sqrt(56)
opp = sqrt(4 * 14)
opp = 2 sqrt(14)
Since we are in the third quadrant opp is negative
opp = -2 sqrt(14)
We know
sin theta = opp / hyp
sin theta = -2 sqrt(14)/15
Given that :
[tex] \frak {\cos( \theta_{1} ) = - \frac{13}{15} }[/tex]
To find :
[tex] \frak{ sin( \theta_{1} )}[/tex]
We know that cos θ is base/hypotentuse
So, here the base is -13 and the hypotentuse is 15
As we got the base and hypotentuse, perpendicular needs to be found out
Now, applying Pythagoras Theorem
According to Pythagoras theorem we know that :
(Hypotentuse)² = (Base)² + (Perpendicular)²Let us assume perpendicular be x
Putting the values we get
(15)² = (-13)² + (x)² 225 = 169 + x²By transposing we get
x² = 225 - 169x = √56 x = 2√14sin θ formula : Perpendicular/Hypotentuse
[tex] \star \: \: \underline{ \overline{ \boxed{ \frak{ sin (\theta_{1})} = \frac{-2 \sqrt{14} }{15} }}}[/tex]
Hence, the answer is -2√14/15
please help me is for my homework
Answers
Answer:
50%
Step-by-step explanation:
so 1 half is colored in so 1/2 is also 50%
Answer:
it's 50% because it's half the circle
which of the following functions are an example of exponential decay???
Answers
Answer:
C. II only
Step-by-step explanation:
iyzgkxhldlufulduo
Identify the segments that are parallel, if any, if ∠KCB≅∠JAC.
Answers
The two lines are parallel if they are at same distant, but these lines will never meet at any point.
Parallel lines do not intersect each other. These lines are equidistant from each other.
In the given angles the line CB will be parallel to line AC.
CB ≅ AC
These two lines will be equidistant from each other since they both form an equivalent angle. These lines will not intersect with each other.
Learn more at https://brainly.com/question/24370301
Taehyung was sitting on the ground flying a kite. He had 22 feet of line let out to fly his kite, and the kite was 14 feet in front of him. How high was the kite?
Answers
30^∘ Another boy is standing on the roof of a 10 second string be x mIn Δ ABC sin 30^∘ = AC/AB 1/2 = AC/100 AC =
Answer: hope this helps ♡
The kite was 16.9 feet high.
Step-by-step explanation:
Pythagorean theorem
b = [tex]\sqrt{c^{2} - a^{2} }[/tex]
b = [tex]\sqrt{22^{2} - 14^{2} }[/tex]
b = [tex]\sqrt{484 - 196}[/tex]
b = [tex]\sqrt{288}[/tex]
b = 16.9
a 4 pint carton of frozen yogurt costs 6.08 what is the price per cup
Answers
Answer:
?
Step-by-step explanation:
My last person to ask a question
Answer:
$0.76 per cup or 76 cents per cup
Step-by-step explanation:
1 pint is 2 cups
4 pints is 8 cups
We can use ratios to solve
8 cups 1 cup
------------------ = -----------------
6.08 dollars x dollars
Using cross products
8x = 6.08
Divide each side by 8
x =6.08/8
x=.76
13. A pair of shoes sell for $27 per pair. There is a sale tomorrow on shoes offering two pairs for $45.
How much will 3 pairs of shoes cost today?
Answers
Answer:
$72
Step-by-step explanation:
The sale offers 2 pair of shoes for $45, but the price is same for 1 pair of shoes.
The cost of 3 pair of shoes
= The sale price of 2 pair of shoes + Regular price of 1 pair of shoes
= $45 + $27
= $72
So, 3 pairs of shoes will cost $72 today.
Please help me solve this fast!
Answers
Answer:
base = 18.89
legs = 16.89
Step-by-step explanation:
x + x + 68 = 180
2x + 68 = 180
2x = 112
x = 56
The altitude = 14
Tan(56) = opposite / adjacent
adjacent = base
opposite = altitude
Tan(56) = opposite / base Multiply both sides by the base
base * Tan(56) = opposite Divide by Tan(56)
base = opposite / Tan(56)
base = 14/tan(56)
base = 9.443
The base is actually twice this length because the altitude lands on the midpoint of the opposite side and is perpendicular to the third side (base).
base = 18.886
Legs are the hypotenuse formed by 1/2 the base and the attitude.
Sin(56) = opposite / hypotenuse
Sin(56) = altitude / hypotenuse
hypotenuse = altitude / Sin(56)
hypotenuse = 14 / sin(56)
hypotenuse = 16.887
Rounded
base = 18.89
legs = 16.89
125 Children get one pen, there are 8
pens in a pack. How many pens are
needed?
Answers
Answer:
16 packs
Step-by-step explanation:
Take the number of children and divide by the number of pens in a pack
125/8
15.625
We need to round up to get the number of packs
16 packs
Answer:
125 pens and 16 packs.
Step-by-step explanation:
Given:
Each child gets 1 pen.There are 125 children.Each pack has 8 pens.Each child gets 1 pen, so there needs to be 125 pens.
Since there are 8 pens in a pack, there will need to be:
125 / 8 = 15.62
Estimate:
16 packs
There needs to be 16 packs for the 125 children.
Plzzzz someone help. Will mark brainiest is correct!!!!
Photo attached
Answers
Answer:
Your last step ( step 5 ) :
[tex] {x}^{2} + \frac{b}{a} x + \frac{ {b}^{2} }{4 {a}^{2} } = - \frac{c}{a} + \frac{ {b}^{2} }{4 {a}^{2} } [/tex]
Step 6:
[tex]{ \boxed{x + ( \frac{b}{2a}) = ± \frac{ \sqrt{ {b}^{2} - 4ac } }{ \sqrt{4a^2} } }}[/tex]
Step-by-step explanation:
[tex] {x}^{2} + \frac{b}{a} x + \frac{ {b}^{2} }{4 {a}^{2} } = - \frac{4ac}{4 {a}^{2} } + \frac{ {b}^{2} }{4 {a}^{2} } \\ \\ {x}^{2} + \frac{b}{a} x = \frac{4ac}{4a {}^{2} } \\ \\ {x} = \sqrt{ \frac{ - 4ac + b {}^{2} }{4a {}^{2} } } [/tex]
.,............. ..... ..nnkkjk
What is the value of x in the equation 4(2x + 14) = 0?
A. 9
B. 7
C. -7
D. -9
Answers
Answer:
-7
Step-by-step explanation:
2(2x+14)=0
2x+14=0
2x=-14
x=-14/2
x=-7
Answered by GAUTHMATH
Can someone help me please?
Answers
Answer:
p(a) =|2a+2|
p(–9) = | 2 (–9) +2 | = | –18 +2 | = | – 16 | = + 16
I hope I helped you^_^
A translation is shown on the grid below in which triangle A is the pre-image and triangle B is the image.
x+0
x+6
x-6
x+4
Answers
Answer: x+6
Step-by-step explanation:
Find the exact value of the indicated trigonometric function for the acute angle a:
Given: sin a=5/13, Find: cos a and tan a
Answers
Answer:
cos a = 12/13
tan a = 5/12
You use these properties to solve the question,
sin²a+cos²a=1
tana=sina/cosa
A room is twice as long as it is broad and its height is 8 m. if the cost of painting its walls at Rs. 20 per m² is Rs 9600 , find the cost of carpeting its floor at Rs. 400 per m²
Answers
Answer:
Step-by-step explanation:
no body is answering
Evaluate the expression
Answers
Answer:
Is -15
Step-by-step explanation:
A bag contains 42 red, 45 green, 20
yellow, and 32 purple candies. You
pick one candy at random. Find the
probability that it is green or yellow.
Answers
Answer:
=65/139
Step-by-step explanation:
42 red, 45 green, 20yellow, and 32 purple candies = 139 candies
P( green or yellow) = green or yellow / total
=(45+20) / 139
=65/139
CAN SOMEBODY HELP ME PLS GIVE THE CORRECT ANSWER IM FAILING BUT ITs PYTHAGOREAN THEOREM
Answers
Answer:
c=65
Step-by-step explanation:
Answer:
c=65
Step-by-step explanation:
c=a2+b2=63
632+162=65
Find the value of a. Round
the nearest tenth.
Answers
Answer:
a = 24.0
Step-by-step explanation:
We can use the law of sines to solve
sin 150 sin 12
---------- = ----------
a 10
Using cross products
10 sin 150 = a sin 12
10 sin 150 / sin 12 = a
a=24.04867
To the nearest tenth
a = 24.0
2. Mr. McGrath is ordering pizza for the girls soccer team. A large cheese pizza costs $10, plus 80¢ for each
additional topping (including extra cheese!).
Complete the table below.
Answers
Answer:
i think iys 6 lol
Step-by-step explanation:
its wright
worth 10pts can someone help?
Answers
Answer:
y = -x+2
Step-by-step explanation:
The y intercept is 2
The slope is found by using 2 point
I picked (0,2) and (2,0)
m = ( y2-y1)/(x2-x1)
= ( 0-2)/(2-0)
= -2/2 = -1
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = -1x+2
y = -x+2
Given two consecutive even integers whose sum is 186, find the smaller of the two integers.
Answers
Answer:
92 is the smaller even integer
Step-by-step explanation:
x = first even integer
x+2 = second even integer
(x) + (x+2) = 186
Combine like terms
2x+2 = 186
Subtract 2 from each side
2x+2-2 =186-2
2x = 184
Divide by 2
2x/2 = 184/2
x = 92
x+2 = 94
Step-by-step explanation:
let,two even consecutive number be x and x+2
now,according to the question
x+x+2=186
or, 2x=186-2
or, 2x= 184
or, x= 184/2
:- x= 92
Hence,
x=92 and x+2= 94
two even consecutive numbers are 92 and 94
