Solve x2 + 12x + 25 = 17 by completing the square. Select all the possible solutions.
A.
6+√7
B. 6+277
C. 6-2/7
D. 6-V7
E 6-287
Answers
Answer:
A,C,D I think.
Step-by-step explanation:
The solution to the quadratic equation is x = -6 ± 2√7
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
x² + 12x + 25 = 17
Subtracting 17 on both sides , we get
x² + 12x + 8 = 0
And , roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
On simplifying , we get
x = ( -12/2 ) ± √ ( 12 )² - 4 ( 1 ) ( 8 ) / 2
x = -6 ± √ ( 144 - 32 ) / 2
x = -6 ± √112/2
And , the value of x = -6 ± 2√28/2
x = -6 ± 2√7
Hence , the solutions are x = -6 + 2√7 and -6 - 2√7
To learn more about quadratic equations click :
https://brainly.com/question/25652857
#SPJ2
Related Questions
There are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon. How many milliliters are in 1 quart?
Answers
does anybody know this answer I'm just checking the (answer asap)
Answers
Answer:
you are right
Step-by-step explanation:
C=d*pi
a. for d/C, it would be d/C=1/pi
c. for pi/C, it would be pi/C=1/d
d. for pi/d, it would be I don't wanna do, but it doesn't matter cause it's wrong
therefore, C/d=pi
is correct
Help what do I divide it with to get the answer
Answers
Answer:
2.95, 2.25 and 2.016
Step-by-step explanation:
Can y’all help me on these plzz I’ll mark Brainly!!!!!!!
Answers
Answer:
its d for number 1
Step-by-step explanation:
how to you find out the angles in a regular polygon
Answers
Answer:
Answer is on the pic
Step-by-step explanation:
I hope it's helpful!
can someone help me with these questions (jimmy if u see this u can help too)
Answers
Answers:
Line of best fit: b = 0.40n+30 The average cost of each extra call is 40 cents.Pete pays 43.60 dollars in a month when he makes 34 calls.Please read the disclaimer below.
=============================================
Explanation:
Disclaimer: The issue is that without the coordinate values, it's impossible to determine the regression line. It's not clear where some (or most) of the red points are located. Often that's why a table is needed. I would ask your teacher for clarification.
With that said, I'll still give it a shot.
---------------
Part 1
The blue regression line appears to go through the two points (0,30) and (50,50). Let's find the slope through this line
m = (y2-y1)/(x2-x1)
m = (50-30)/(50-0)
m = 20/50
m = 0.40
The y intercept is b = 30 since the blue line appears to cross the y axis at this location.
So y = mx+b turns into y = 0.40x+30
Replace x with n and replace y with b
We go from y = 0.40x+30 to b = 0.40n+30 which is the regression line.
Again this is all based on the assumptions that the blue line goes through (0,30) and (50,50).
---------------
Part 2
Assuming we have the correct regression equation, we can immediately see that each extra call costs $0.40 which is the same as 40 cents. So it's 40 cents per call. This is the slope value, which is the rate of change. Each time n goes up by 1, b goes up by 0.40
Because the regression line estimates the actual observed values, we won't always land on a red point. But the goal is to get as close as possible.
----------------
Part 3
Again assuming we have the correct regression equation, we plug in n = 34 and evaluate to determine the bill
b = 0.40*n + 30
b = 0.40*34 + 30
b = 43.60
Pete would pay $43.60 if he made 34 calls.
Vx+5=x-1
What are all the values of x that make the equation true?
O A. -1 only
B. 3 only
C. 4 only
D. -2 and 3
O E. -1 and 4
Answers
help me and I will give u brain..................
Answers
Which of the following is equal to the expression listed below?
45 + 18
A. (9 +5)(9+2)
B. 9+ (5 x 2)
C. (9 x 5)(9 x 2)
D. 9(5+2)
Answers
Answer:
Step-by-step explanation:
9(5 + 2)
the answer is D
An ice cream shop uses 6 bananas to make 4 identical sundaes. How many bananas are used in each sundae?
Answers
Answer: 1.5 bananas per sundae
Step-by-step explanation:
There was a total of 6 bananas used in making 4 sundaes.
To find the number of bananas used per sundae, you should divide the number of bananas by the number of sundaes.
= No. of bananas / No. of sundaes
= 6 / 4
= 1.5 bananas per sundae
The weather forecast says there’s 70% probability of rain tomorrow. What are the odds against rain
Answers
Answer:
30%
Step-by-step explanation:
Key skills needed: Probability
1) There is a 70% chance of rain.
2) We need to find the chances against rain.
3) To do this, we need to use the fact that
70% + x = 100% (Since all the probabilities add up to 1 or 100%)
4) If you subtract 70% from both sides, x = 30%
5) This means the probability against rain is 30%.
Hope you understood and have a nice day!! :D
answer as soon as possible please !
Answers
Answer:
60
Step-by-step explanation:
4/3 = x/45
45/3=15
15*4=60
x=60
List 6 words that relate to area and explain why you chose/selected them.
Answer Please.
Answers
The ascent can be modeled by a different proportional relationship y=kx. What is the value of k in this case?
Write your answer as a simplified fraction
Answers
Answer: the the answer
35814/3600
Are the fractions equivalent?
Answers
Answer:
7. no
8.yes
9.yes
10.no
I hope this helps!
Answer:
7. no
8. yes
9. yes
10. no
Step-by-step explanation:
the square of a number minus 14
Answers
Answer:
-196
explain: √3.742 - 14 = -196
Need help please its Calculus. Ill give the 5 stars as well.
Answers
Answer:
[tex]\displaystyle y = 2e^\bigg{\frac{x^3}{3}} + 1[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of OperationsEquality PropertiesAlgebra I
FunctionsFunction NotationExponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Algebra II
Natural logarithms ln and Euler's number eCalculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Slope Fields
Separation of VariablesSolving DifferentialsIntegrals
AntiderivativesIntegration Constant C
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
U-Substitution
Logarithmic Integration: [tex]\displaystyle \int {\frac{1}{u}} \, dx = ln|u| + C[/tex]
Step-by-step explanation:
*Note:
When solving differential equations in slope fields, disregard the integration constant C for variable y.
Step 1: Define
[tex]\displaystyle \frac{dy}{dx} = x^2(y - 1)[/tex]
[tex]\displaystyle f(0) = 3[/tex]
Step 2: Rewrite
Separation of Variables. Get differential equation to a form where we can integrate both sides and rewrite Leibniz Notation.
[Separation of Variables] Rewrite Leibniz Notation: [tex]\displaystyle dy = x^2(y - 1) \ dx[/tex][Separation of Variables] Isolate y's together: [tex]\displaystyle \frac{1}{y - 1} \ dy = x^2 \ dx[/tex]Step 3: Find General Solution Pt. 1
[Differential] Integrate both sides: [tex]\displaystyle \int {\frac{1}{y - 1}} \, dy = \int {x^2} \, dx[/tex][dx Integral] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle \int {\frac{1}{y - 1}} \, dy = \frac{x^3}{3} + C[/tex]Step 4: Find General Solution Pt. 2
Identify variables for u-substitution for dy.
Set: [tex]\displaystyle u = y - 1[/tex]Differentiate [Basic Power Rule]: [tex]\displaystyle du = dy[/tex]Step 5: Find General Solution Pt. 3
[dy Integral] U-Substitution: [tex]\displaystyle \int {\frac{1}{u}} \, du = \frac{x^3}{3} + C[/tex][dy Integral] Integrate [Logarithmic Integration]: [tex]\displaystyle ln|u| = \frac{x^3}{3} + C[/tex][Equality Property] e both sides: [tex]\displaystyle e^\bigg{ln|u|} = e^\bigg{\frac{x^3}{3} + C}[/tex]Simplify: [tex]\displaystyle |u| = Ce^\bigg{\frac{x^3}{3}}[/tex]Rewrite: [tex]\displaystyle u = \pm Ce^\bigg{\frac{x^3}{3}}[/tex]Back-Substitute: [tex]\displaystyle y - 1 = \pm Ce^\bigg{\frac{x^3}{3}}[/tex][Equality Property] Isolate y: [tex]\displaystyle y = \pm Ce^\bigg{\frac{x^3}{3}} + 1[/tex]General Form: [tex]\displaystyle y = \pm Ce^\bigg{\frac{x^3}{3}} + 1[/tex]
Step 6: Find Particular Solution
Substitute in function values [General Form]: [tex]\displaystyle 3 = \pm Ce^\bigg{\frac{0^3}{3}} + 1[/tex]Simplify: [tex]\displaystyle 3 = \pm C + 1[/tex][Equality Property] Isolate C: [tex]\displaystyle 2 = \pm C[/tex]Rewrite: [tex]\displaystyle C = 2[/tex]Substitute in C [General Form]: [tex]\displaystyle y = 2e^\bigg{\frac{x^3}{3}} + 1[/tex]∴ our particular solution is [tex]\displaystyle y = 2e^\bigg{\frac{x^3}{3}} + 1[/tex].
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentials and Slope Fields
Book: College Calculus 10e
7. Mrs. Bauer and her family went to dinner. Their dinner bill was $56.50 before tax and tip. An 8% sales tax needs to be applied and then they decided to leave a 15% tip. What is their total bill after the tax and then tip is applied?
Answers
Answer:
it will be 56
Step-by-step explanation:
maney because I am 9nyears old
Answer:
it will be 56
Step-by-step explanation:
what is the weight shown by the arrow?
Answers
Answer:
550
Step-by-step explanation:
A 56 inch pipe is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.
The shorter piece is ___inches long.
Answers
Answer:
Piece A: 42 inches
Piece B: 14 inches
Step-by-step explanation:
If the pipe is 56 inches long and divided into 2 parts with a 3;1 ratio, then you would divide 56 by 4 (3;1->3+1) to get 14. 14 would be the smaller piece, then you'd multiply 14 by 3 to get 42 inches because theres 3 parts for the larger piece in the ratio of 3;1. :) the explanation is probably really weird but the answer should be correct anyways
Which part of this graph shows a nonlinear relationship?
Answers
Answer:
B. 2
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Linear means in a straight line, and 2 is not in a straight line
Determine the value of the variable from the image below
Answers
Answer:
29
Step-by-step explanation:
32+28+30 is 90 degrees which is a right angle
please just explain how to do this lol ty <3
Answers
Step-by-step explanation:
1. Increase amount = 40-25=15 Increase percent = (15/25)×100%= 60%.
2.Increase amount = 30-15 = 15. Increase percent = ( 15/15)× 100% = 100%.
3. Increase amount= 50-18=32 Increase percent= (32/18) x100% = 177.77%
4. Increase amount= 80-22=58 Increase percent= (58/80) x 100% = 72.5% -----> 73% (when rounded of to the nearest 10's).
5. Increase amount= 18-16=2 Increase percent = (2/18)×100 %= 11.111...% -----> 11% (when rounded of to the nearest 10's).
6. Increase amount = 10-3=7 Increase percent= (7/10)×100% = 70%.
7. Increase amount = 100-85 = 15 Increase percent = ( 15/100) × 100% = 15%
witch formula would you use when u are looking for the slope of a line and given two points on the line
a point slope formula
b slope formula
c slope formula and point slope
d slope intercept formula
Answers
Answer:
you are probably gonna get it wrong
Step-by-step explanation:
i dont know the answer
: The population of birds on an island is estimated to increase by 10% every year.
The population of birds on the island is 20000.
Calculate an estimate for the population of birds in three years time.
Answers
Answer:
26620
Step-by-step explanation:
20,000 x 10% is 2000 = 22000
22,000 x 10% is 2200 = 24200
24200 x 10% is 2420 = 26620
Answer:
22,000
Step-by-step explanation:
equations is total amount = amount x (multiplier)^years
step one: 100+10 over 100 = 1.1 which the multiplier
step two : substitute 20,000 X(1.1)^3
3 because of how may years
and step three enter on calculator and get 22,000 as the answer
HELP ME WITH THIS QUESTION PLEASE AND ILL GIVE SOMEBODY THE BRAINLIEST ANSWER
I want to get an iwatch 3, the 38mm costs $169.00 at Walmart, and the 42 mm cost $199.00. The difference is found by using?
A. Multiplication
B. Division
C. Addition
D. Subtraction
Answers
Answer:
it should be D. subtraction
Convert from Standard Form to Slope-Intercept Form.
2x + 5y = 40
pls help
Answers
Answer: y = -2/5x +8
Step-by-step explanation:
5y = -2x + 40 (subtract 2x from both sides)y = -2/5x + 40/5 (divide both sides by 5)y = -2/5x + 8 (simplify)Calculate the slope of the line.Please help!!
Answers
How do i find the inverse of a function?
Answers
Answer:
the inverse of something is a fraction
Step-by-step explanation:
If you wanna inverse something from a number do 5 = 1/5
If u wanna do fraction to a number 1/5=5
and if you have a term it would just be that term like x if you were to inverse 5x = x
please help I did not learn this
Answers
Answer:
2^8
Step-by-step explanation:
Answer:
2 and a little 3 on top of the 2
Step-by-step explanation: