Solve the equation by completing the square
s^2+2s-6=0
s=
s=
Please answer this ASAP ! And with step by step expiation please !
Answers
Answer:
s = - 1 ± [tex]\sqrt{7}[/tex]
Step-by-step explanation:
Given
s² + 2s - 6 = 0 ( add 6 to both sides )
s² + 2s = 6
To complete the square
add ( half the coefficient of the s- term )² to both sides
s² + 2(1)s + 1 = 6 + 1
(s + 1)² = 7 ( take the square root of both sides )
s + 1 = ± [tex]\sqrt{7}[/tex] ( subtract 1 from both sides )
s = - 1 ± [tex]\sqrt{7}[/tex]
Thus
s = - 1 - [tex]\sqrt{7}[/tex] , s = - 1 + [tex]\sqrt{7}[/tex]
Related Questions
im doing a review for my class I've blurred my name but im struggling getting to understand some of these
Answers
Blanca creates decorative wall hangings. She wants to look at the relationship between the diagonal length of the hangings and their weight. The data show a linear pattern with the summary statistics shown below: standard deviation = diagonal length (inches) 7 = 24.1 = 12 y = weight (pounds) y = 12.9 S = 16.2 0.0 Find the equation of the least-squares regression line for predicting the weight of the wall hanging from its diagonal length. Round your entries to the nearest hundredth
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Answer: y=-16.38+1.22x
Step-by-step explanation:
Answer:y=-16.38+1.22x
Step-by-step explanation:
The domain for f(x) and g(x) is the set of all real numbers.
Let f(x) = 3x + 5 and g(x) = x2.
Find f(x) + g(x).
Answers
Answer:
f(x) + g(x) = x^2 + 3x + 5
Step-by-step explanation:
In order to do this, you need to substitute f(x) for 3x +5 and substitute g(x) for x2 (which I'm assuming is x squared, which I will be wrIting as x^2. If this is not the problem, please correct me)
f(x) + g(x) = 3x + 5 + x^2
Now, you need to put the varibles in decreasing order of exponents.
f(x) + g(x) = x^2 + 3x + 5
Answer:
Step-by-step explanation:
The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.
Let P = {4, 5, 6, 7, 8), Q = {5, 6, 7), and R = {1, 2}, Find PUQ. 0 A. {1, 2, 4, 5, 6, 7, 8} o B. {5, 6, 7} c. [4, 5, 6, 7, 8} 0 D. ©
Answers
Answer:
This isn't an equation right?
Step-by-step explanation:um ...
Answer: C: {4,5,6,7,8}
Step-by-step explanation:
What numbers would be in the in the 4 sections of a 2 x 2 array that shows the problem 19 x 11?
100, 100, 90, 9
100, 10, 90, 9
100, 90, 10, 1
10, 10, 9, 9
Answers
Answer:
100, 90, 10, 1
Step-by-step explanation:
HELP ASAP!
38 points if you answer pls
Answers
Answer:
b
Step-by-step explanation:
WILL MARK BRAINLIEST please help geometry problem in the picture
Answers
Answer:
I think its c im rlly sorry if im wrong
Step-by-step explanation:
Im trying to get to vituoso :3
What is the y intercept of a line that has a slope of-3 and passes through point (-5,4)
-17
-11
7
19
Answers
help its 50 percent of my grade
Answers
Answer:A=144 P=40
Step-by-step explanation:
Answer:
Area is [tex]96^{2}[/tex] feet
Perimeter is 40ft
PLEASE HELP MEEE!!!Which fraction is equivalent to a ratio of 3 to 4?
Answers
Answer:
3/4
Step-by-step explanation:
Just swap the colon (:) for a slash (/)
Answer:
Any of these should work for ya :)
3/4 = 6/8 = 9/12 = 12/16
= 15/20 = 18/24 = 21/28 = 24/32
= 27/36 = 30/40 = 33/44 = 36/48
= 39/52 = 42/56 = 45/60 = 48/64
= 51/68 = 54/72 = 57/76 = 60/80
= 63/84 = 66/88 = 69/92 = 72/96
= 75/100 = 78/104 = 81/108 = 84/112
= 87/116 = 90/120 = 93/124 = 96/128
= 99/132 = 102/136 = 105/140 = 108/144
= 111/148 = 114/152 = 117/156 = 120/160
= 123/164 = 126/168 = 129/172 = 132/176
= 135/180 = 138/184 = 141/188 = 144/192
= 147/196 = 150/200 = 153/204 = 156/208
= 159/212 = 162/216 = 165/220 = 168/224
= 171/228 = 174/232 = 177/236 = 180/240
= 183/244 = 186/248 = 189/252 = 192/256
= 195/260 = 198/264 = 201/268 = 204/272
= 207/276 = 210/280 = 213/284 = 216/288
= 219/292 = 222/296 = 225/300 = 228/304
= 231/308 = 234/312 = 237/316 = 240/320
= 243/324 = 246/328 = 249/332 = 252/336
= 255/340 = 258/344 = 261/348 = 264/352
= 267/356 = 270/360 = 273/364 = 276/368
= 279/372 = 282/376 = 285/380 = 288/384
= 291/388 = 294/392 = 297/396 = 300/400
<3 Enjoy,
Dea
matematica ayuda xfis
Answers
Answer:
خ
Step-by-step explanation:
PLEASE I NEED THE ANSWER TO 1 + 1
Answers
Answer:
uhhhhh 3
Step-by-step explanation:
Step-by-step explanation: I know, hardest question known to man.
10 points
i need help
Answers
Answer: How fast was she going per hour? 12.5 miles.
#2 is 2.7 hours in 4.5 miles
Step-by-step explanation:
Match the vocabulary word with the correct definition.
3
1. apothem
2. inscribed polygon
a polygon that is constructed inside
of the circumference of a circle in which
the vertices of the polygon lie on the
circumference of the circle.
2
a line segment drawn from the
center of a convex polygon (inscribed in
a circle) to the midpoint of any side of
the polygon.
a convex polygon in which all of the
side lengths are equal and all of the
interior angles have equal measure.
3. regular polygon
Answers
Answer:
apothem: a line segment drawn from the center of a convex polygon (inscribed in a circle) to the midpoint of any side of the polygon.
regular polygon:a convex polygon in which all of the side lengths are equal and all of the interior angles have equal measure.
inscribed polygon:a polygon that is constructed inside of the circumference of a circle in which the vertices of the polygon lie on the circumference of the circle.
Step-by-step explanation:
The words that matched with the correct definition are given below.
What is apothem?The apothem is the angle between a chord's middle and the circle's center. The apothem of a regular polygon is only the in radius, or the distance from the center to a side.
The correct definitions are:
Apothem : a line segment drawn from the center of a convex polygon (inscribed in a circle) to the midpoint of any side of the polygon.
Regular polygon : a convex polygon in which all the side lengths are equal and all the interior angles have equal measure.
Inscribed polygon : a polygon that is constructed inside the circumference of a circle, in which the vertices of the polygon lie on the circumference of the circle.
Therefore, the correct definitions are given above.
To learn more about the apothem;
https://brainly.com/question/9172186
#SPJ2
On a test, Alice had 80% of the problems right. If she had
20 problems correct, how many questions were on the test?
Show work please
Answers
Answer: she would get 100%
Step-by-step explanation: every correct question u get 5 points so 20 * 5 = 100
Answer:
25
Step-by-step explanation:
80% = 0.80
0.80x = 20
0.80x/0.80 = 20/0.80
x = 25
So there was 25 questions on the test
( PLEASE HELP , TIMED ) A pet supply store sells three dog collars and two leashes for $59.75. The same pet store sells one dog collar and three leashes for $53.75. Find the cost of one dog collar and one leash.
Answers
Answer:
how can i help also comment me i wanna talk bc im lonely lol
Step-by-step explanation:
The cost of one dog collar and one dog leash are 10.25 dollars and 14.5 dollars respectively
How to form an equation?let
the cost of each dog collars = x
the cost of each leashes = y
Therefore,
3x + 2y = 59.75
x + 3y = 53.75
Hence,
3x + 2y = 59.75
3x + 9y = 161.25
7y = 101.5
y = 101.5 / 7
y = 14.5
Therefore,
x + 3y = 53.75
x + 3(14.5) = 53.75
x = 53.75 - 43.5
x = 10.25
learn more on equation here: https://brainly.com/question/12060253
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Which of the following sets of data does NOT represent a function?
a. Set A
b. Set B
c. Set C
d. Set D
Answers
Answer:
D
Step-by-step explanation:
Set D is not a functions. Functions are defined as each x having only 1 y value associated with it. 2 in the x column has two values associated with it: 1 and 2
D is not a function.
if you're at the state fair with some friends and deciding between buying a jumbo pack of 50 ride tickets for $45 or medium pack of 30 ride tickets for $28.50 which pack is the better deal jumbo or medium now say sorry
Answers
I need to find the area of these if you do it I will give you a 5-star rating and share you with other people brainiest included
Answers
Answer:
get up a calculator and multiply the numbers and it will give you an answer
Step-by-step explanation:
hope this helps
Situation:
A 33 gram sample of a substance that's
used to detect explosives has a k-value
of 0.1473.
N = Noe
-kt
No = initial mass (at time t = 0)
N = mass at time t
k = a positive constant that depends on
the substance itself and on the units
used to measure time
t = time, in days
Find the substances half life, and days. Round your answer to the nearest 10th
Answers
Answer:
Half life = 4.7 days
Step-by-step explanation:
Formula to get the final amount of the substance after the time 't',
[tex]N_t=N_0e^{-kt}[/tex]
Here, [tex]N_t[/tex] = Final amount of the substance
[tex]N_0[/tex] = Initial amount
k = decay constant
t = Duration or time
Now by substituting the values in the formula,
[tex]N_t=N_0e^{-0.1473t}[/tex]
If [tex]N_t=\frac{1}{2}(N_0)[/tex] [For half life]
[tex]\frac{1}{2}(N_0)=N_0e^{-0.1473t}[/tex]
[tex]\frac{1}{2}=e^{-0.1473t}[/tex]
[tex]2=e^{0.1473t}[/tex]
ln(2) = [tex]\text{ln}(e^{0.1473t})[/tex]
0.69315 = 0.1473t
t = 4.71 days
t ≈ 4.7 days
Therefore, half life of the substance is 4.7 days.
Answer:
4.7
Step-by-step explanation:
3/5x+2+20 What is the answer
Answers
Answer:
Which table represents a function?
Answers
Answer:
D
Step-by-step explanation:
A recipe says, "1 part cocoa to 4 parts sugar." How much sugar will you need if you use 20 grams of cocoa?
Answers
Answer:
80
Step-by-step explanation:
1 part of cocoa to 4 parts of sugar means every one part of cocoa is timed by four parts sugar so 20 times four is 80.
Determine the intercepts of the line.
7x-5=4y -6
X-intercept:
y-intercept:
Answers
Answer:
x-intercept : (-0.1429,0)
y-intercept : (0,0.25
what is approximately equal to
[tex] \sqrt{47} [/tex]
A: 40
B: 7
C: 16
D: 9.4
Answers
Answer:
d
Step-by-step explanation:
d
5x − 8( 1 + 7x ) = −8
Answers
Answer:
x = 0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
5x - 8(1 + 7x) = -8
Step 2: Solve for x
Distribute -8: 5x - 8 - 56x = -8Combine like terms: -51x - 8 = -8Isolate x term: -51x = 0Isolate x: x = 0Step 3: Check
Plug in x into the original equation to verify it is a solution.
Substitute in x: 5(0) - 8(1 + 7(0)) = -8Multiply: 0 - 8(1 + 0) = -8Add: -8(1) = -8Multiply: -8 = -8Here we see that -8 does indeed equal -8.
∴ x = 0 is a solution of the equation.
What is the area of a triangle with 2 ft by 2 ft
Answers
Answer:
A=hbb
2
Step-by-step explanation:
Answer:
If the base is 2 and the height is 2, the area is 2
Step-by-step explanation:
5. An airline ticket to Florida from a certain city costs $249. How much money does
the airline collect if 85 tickets are sold?
Answers
Answer: $21165
Step-by-step explanation:
249 x 85 = 21165
Can some one
help please I don’t understand this problem.
This is for regular Geometry.
Answers
A. 5
B. 7
C. 31
D. 11
Answers
Answer:
the answer is five by using the formula for the area of a trapezoid you have to add and subtract like terms...... blah blah blah... at the end you divide both sides by _8 and there u have 5 ur welcome lol