What are the solutions of x2 - 2x +17 - 0?
O A. x = 1+2, or x = 1 - 2
O B. X = 1+4, or x = 1- 47
O c. x = 2, or x = -2
O D. x = 4; or x = -4/
Answers
Answer:
option B
Step-by-step explanation:
[tex]x^2 - 2x + 17 = 0 \ , \ [ \ where \ a = 1 , \ b = - 2 \ c = 17 \ ][/tex]
[tex]x = \frac{- b \ \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{2 \ \pm \sqrt{2^2 - (4 \times 1 \times 17)}}{ 2 \times 1}\\\\x = \frac{2 \ \pm \sqrt{4 - 68}}{ 2 }\\\\x = \frac{2 \ \pm \sqrt{-64}}{ 2 }\\\\x = \frac{2 \ \pm \sqrt{8^2 \times -1}}{ 2 }\\\\x = \frac{2 \ \pm \ 8\sqrt{ -1}}{ 2 }\\\\[/tex]
[tex]x = \frac{2 \ \pm\ 8 i}{ 2 }\\\\[/tex] [tex][ \ where \ i = \ \sqrt{i} \ ][/tex]
[tex]x = 1 \ \pm \ 4i\\\\x = 1 + 4i , \ x = 1 - 4i[/tex]
Answer:
O B. [tex]x=1+4i[/tex] or [tex]x=1-4i[/tex]
Step-by-step explanation:
Use the Quadratic Formula for the Quadratic Equation!
Quadratic Equation: [tex]x^{2} -2x+17=0[/tex]
Quadratic Formula: [tex]x= \frac{-b±\sqrt{b^2-4ac} }{2a}[/tex]
**********************************************************************
Now set up the values like this!
[tex]ax^{2} +bx+c[/tex]
**********************************************************************
[tex]x=\frac{-b±\sqrt{-2^2-(4(0)(17)} }{2(0)}[/tex]
[tex]x=\frac{-b±\sqrt{4-(1)} }{0}[/tex]
x = 1 - 4i
x = 1 + 4i
Related Questions
What is the slope of every perpendicular line to y-2/3x=-4
Answers
Answer:
The slope of the line perpendicular is -3/2.
Step-by-step explanation:
y-2/3x=-4
y = 2/3x - 4
The slope of the line perpendicular is -3/2.
Can someone help me?It's urgent and thank you!
Answers
([-8+3x)^2= 2^2
-8+3x=4
3x=4+8
X=12/3
Final answer:
X=4
I hope you understand my explanation so good luck and best of wishes!!
gary has $227.36 in his bank account. her must maintain a minimum balance of $550 in his account to avoid paying monthly service fee. how much money can gary deposit into his account to avoid paying this fee?
Answers
Answer:322.64 (I think)
Step-by-step explanation:
550-227.36=322.64
Answer:
what the other person said here
Lily bought a car for $13500. She paid for it in 36 equal monthly payments. Calculate the amount she paid each month.
Answers
Answer:
375
Step-by-step explanation:
Lily paid $750 each month for 36 months to pay off her car loan.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example: so
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To calculate the amount that Lily paid each month, we can divide the total cost of the car by the number of monthly payments:
So,
Amount paid each month
= Total cost / Number of payments
In this case,
The total cost is $13,500 and the number of payments is 36:
Amount paid each month = $13,500 / 36
We can simplify this fraction by dividing both the numerator and the denominator by the greatest common factor of 13,500 and 36, which is 18:
Amount paid each month = $750
Therefore,
Lily paid $750 each month for 36 months to pay off her car loan.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
What is the domain of the function y=3sqrtx-1?
-infinity
-1
0 less than or equal to x
1 less than of equal to x
Answers
Answer:
Step-by-step explanation:
If Megan sells 22 cakes, then f(22) = 121?
Answers
I don't know what the question is but I'm pretty sure the answer is 5.5.
X = 5.5 or the price of each cake is 5.5$
Find the volume, in cm?, of a right circular cylinder with radius 10 cm and height 14 cm.
A. 9600x cm3
O
B. 19601 cm3
C. 14001 cm
D. 3501 cm
o
E. 140 cm
Answers
Which of the following options could represent a possible set of interior angles of a triangle? 45°, 105°, and 120° O 60°, 150° and 150° 15. 35 and 40 35. 65, and 80
Answers
Answer:
Divide the each part and get the circle 360 and triangle 180
At a sale this week, a Michael Kors bag is on sale for $258.40. This is a 62% discount off the original price. What is the original price.
Answers
100-62=38
258.40 x 100= 25840
25840/38=680
Helpppppp me please
Answers
Answer:
x=2
Step-by-step explanation:
The x is known which means that it is the one that is parallel to the y axis.
Answer:
x = 2
Step-by-step explanation:
The y axis is a vertical line
x = 2 would create a vertical line making it parallel with the y axis
In the diagram of A XYZ, which term describes point ?
Z
X
++
W
Y
Answers
Answer:
c
Step-by-step explanation:
ans is c we can clearly see there in this triangle c only describes it
What is the product of (3x - 4y) and (- 2x + 5y - 6)?
A.) - 6x? + 7xy - 18x – 20y? + 24y
B.) - 6x² + 23xy - 18x - 20y? + 24y
C.) 6x? + 23xy - 18x - 20y2 + 24y
D.) - 6x² + 23xy - 18x + 20y? - 24y
Answers
Answer:
The answer is option c
Step-by-step explanation:
Product means we have to multiply
[tex](3x - 4y) \times ( - 2x + 5y - 6) \\ 3x( - 2x + 5y - 6) - 4y( - 2x + 5y - 6) \\ - 6x {}^{2} + 15xy - 18x + 8xy - 20y { }^{2} + 24[/tex]
You then group like terms
[tex] - 6x {}^{2} + 15xy + 18xy - 20y {}^{2} + 24 \\ 6x {}^{2} + 23xy - 20y {}^{2} + 24[/tex]
And there's your answer
Andreas plays soccer video game he earns three stars for every goal he scores and loses 3/4 stars every time he misses the goal he scores five goals and Misses the goal four times how many stars does he have
Answers
Answer: 12 stars
Step-by-step explanation:
First find out the number of stars he gained by scoring goals:
= Number of goals scored * Stars if goal is scored
= 5 * 3
= 15 stars
Then find out the number of stars he is to lose by missing the goal:
= No. of goals missed * stars if goal missed
= 4 * 3/4 stars
= 3 stars
The total number of stars he has are:
= Stars gained - Stars lost
= 15 - 3
= 12 stars
Can someone explain how to do this and add the formula please
Answers
Answer:
5 is 35 and 6 is 50
Step-by-step explanation:
To solve 5, you need to know how many degrees is the line, which is 180 because lines are 180 degrees. You then subtract 110 from 180 which equals to 70. What you have left now is 2k. A number times 2 will equal to 70, so k=35.
For 6, if you ever see two lines intersecting each other, it means that it is 360 degrees. We already have one angle, which is 120. The other angle is d+70 degrees, and any angle that is reflecting the other angle will have the same value. So, d equals 50
(sorry if you still can't understand it I'm not good at English
WILL GIVE BRIANLINEST
MATH
Is it 81x^2 sq cm ?
Or 18x^2 sq cm
Or 81x sq cm
Or 18x sq cm
Answers
With area, you multiple two sides. With a square, all sides are equal and so, you just take 9x and multiply it by 9x.
9 x 9= 81
X x X= X^2
And so, the answer is 81x^2
Answer:
81x^2 sq cm
Step-by-step explanation:
Area formula: length × width
Squares are the same size on all 4 sides, which means because 1 side is 9x cm, all other sides will also be 9x cm.
Area: 9x cm × 9x cm = 81x^2 cm^2
sq = ^2
Yr is the circundcenter of ASTU, find each measures.
It’s
Sv =9
Yw =9
Sy= 11
Yx = 11
So am I right??
Answers
Answer:
yes you are
Step-by-step explanation:
what is 0.15 divided by 9 as a decimal please only correct answers this is a final
Answers
Answer:
0.01666666666
Answer:
60
Step-by-step explanation:
if you flip it around from "0.15 divided by 9" and turn it into "9 divided by 0.15" you will the answer 60.
(hopes this helps )
of 5 Sarah, Fiona and David share £40 in a ratio 3:3:2. How much money does each person get?
Answers
Answer:
15
15
10
Step-by-step explanation:
3/8 x £40 = £15 for Sarah
3/8 x £40 = £15 for Fiona
2/8 x£40 = £10 for david
Answer:
Sarah gets [tex]\frac{3}{8}[/tex] × 40 = £15
Fiona gets [tex]\frac{3}{8}[/tex] × 40 = £15
David gets [tex]\frac{2}{8}[/tex] × 40 = £10
Step-by-step explanation:
If £40 is shared between three person in the ratio of 3:3:2 then calculate the amount each person gets.
To find the amount each person gets we are goin to change the ratios of each person into fractions.
To turn to fraction add all portions in the ratio:
3 + 3 + 2 = 8 (this will be the denominator for all proportions.)
Therefore Sarah gets [tex]\frac{3}{8}[/tex], Fiona gets [tex]\frac{3}{8}[/tex] and David gets [tex]\frac{2}{8}[/tex].
Sarah gets [tex]\frac{3}{8}[/tex] × 40 = £15
Fiona gets [tex]\frac{3}{8}[/tex] × 40 = £15
David gets [tex]\frac{2}{8}[/tex] × 40 = £10
Two lines are intersecting. What is the value of x? Enter your answer in the box. (x + 23) (2x + 4)° Help! Please!!!
Answers
Answer:
[tex]x = 51^o[/tex]
Step-by-step explanation:
Given
Intersecting lines
Required
Find x
To do this, we make use of:
[tex]x + 23^o + 2x + 4^o = 180^o[/tex] --- angle on a straight line
Collect like terms
[tex]x + 2x = 180^o - 4^o - 23^o[/tex]
[tex]3x = 153^o[/tex]
Divide both sides by 3
[tex]x = 51^o[/tex]
13.
Graph y= x2+2. Identify the vertex of the graph. Tell whether it is a minimum or maximum.
A. (2, 0); maximum
B. (2, 0); minimum
C. (0, 2); maximum
D. (0, 2); minimum
Answers
Answer:
D. (0, 2); minimum
Step-by-step explanation:
Use the formula
x = − b/ 2 a
to find the maximum and minimum.
( 0 , 2 )
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
( 0 , 2 )
Focus:
( 0 , 9 /4 )
Axis of Symmetry:
x
=
0
Directrix:
y
=
7
4
x
y
−
2
6
−
1
3
0
2
1
3
2
6
Rewrite in vertex form and use this form to find the vertex
( h , k )
.
( 0 , 2 )
I have been trying to solve this for the past 10 minutes pls helpp
Answers
Step-by-step explanation:
[tex]\sqrt{2} = 1,414213562 = 1,41\\[/tex] ( with calculator )
[tex]\sqrt{3} = 1,732050808 = 1,73[/tex] ( with calculator )
Sow , you need 2 irrationale numbers between 1,41 and 1,73
What is a irrationale number ?
Irrational number, any real number that cannot be expressed as the quotient of two integers. ... For example, there is no number among integers and fractions that equals the square root of 2.
An example : 1.234343 , [tex]\sqrt{9\\}[/tex] , π ...
In the file you can find some more info.
Sow we can say 1,583909 and 1,683738 is a Irrationale number between
1,41 and 1,73 = between [tex]\sqrt{2}[/tex] and [tex]\sqrt{3}[/tex]
if there is any mistake , pls call me.
Regards The Gentlemen
g(x) = x4 − 4x2 + 7x − 8?
Answers
Answer:
to put in the value of any variable in this equation(for example 2 ) we will write it as
g(2) = 4(2) - 4(2)^2 + 7(2) -8
g(2) = 8 - 16 + 14 - 8
g(2) = -2
Step-by-step explanation:
zeroes of polynomial p(x)=2x^2-9-3x are :
Answers
Answer:
x = - [tex]\frac{3}{2}[/tex], x = 3
Step-by-step explanation:
To find the zeros let p(x) = 0 , that is
2x² - 3x - 9 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 9 = - 18 and sum = - 3
The factors are - 6 and + 3
Use these factors to split the x- term
2x² - 6x + 3x - 9 = 0 ( factor the first/second and third/fourth terms)
2x(x - 3) + 3(x - 3) = 0 ← factor out (x - 3) from each term
(x - 3)(2x + 3) = 0
Equate each factor to zero and solve for x
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - [tex]\frac{3}{2}[/tex]
x - 3 = 0 ⇒ x = 3
A town has a population of 5000 and grows at 4% every year. What will be the population after 7 years, to the nearest whole number?
Answers
Answer:
6580 approx
Step-by-step explanation:
Given data
Population= 5000
Rate= 4%
Time = 7years
We are going to apply the compound interest formula
A=P(1+r)^t
substitute
A= 5000(1+0.04)^7
A= 5000(1.04)^7
A=5000*1.3159
A= 6579.5
Hence the population after 7 years is 6580 approx
Solve for x. Assume that lines which appear tangent are tangent. X=
Answers
Answer:
x = 32
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(x+18) * 18 = 30^2
(x+18) * 18 = 900
Divide each side by 18
(x+18) * 18/18 = 900/18
(x+18) = 50
Subtract 18 from each side
x+18-18 = 50-18
x=32
Answer:
50
Step-by-step explanation:
tangent-secant theorem
What is the correct ratio of each rational root of the polynomial Function
Answers
Answer:
factor of 6 and 5
Step-by-step explanation:
What is the value of k??
Answers
Answer:k=10
Step-by-step explanation:
A an election, a total of 240 votes were cast for four candidates. The winner won by a margin of 8, 13, and 15 votes over the other three candidates. What was the lowest number of votes received by a candidate?
Answers
Answer: 54
Step-by-step explanation:
Total votes: 240
Votes for the winner: x
Votes for candidate 1: x - 8
Votes for candidate 2: x - 13
Votes for candidate 3: x - 15
Equation to find the amount of votes of the winner (x) is:
240 = x + x - 8 + x - 13 + x - 15
Combine x and x to get 2x.
240=2x−8+x−13+x−15
Combine 2x and x to get 3x.
240=3x−8−13+x−15
Subtract 13 from −8 to get −21.
240=3x−21+x−15
Combine 3x and x to get 4x.
240=4x−21−15
Subtract 15 from −21 to get −36.
240=4x−36
Swap sides so that all variable terms are on the left hand side.
4x−36=240
Add 36 to both sides.
4x=240+36
Add 240 and 36 to get 276.
4x=276
Divide both sides by 4.
x= 4/276
Divide 276 by 4 to get 69.
x=69
Votes for the winner: 69
Votes for candidate 1: 69 - 8 = 61
Votes for candidate 2: 69 - 13 = 56
Votes for candidate 3: 69 - 15 = 54
The candidate that had the lowest number of votes received 54 votes.
Given that 1 pound = 16 ounces, convert 144 ounces to pounds.
OA. 25 pounds
ОВ.
11 pounds
OC.
9 pounds
OD. 72 pounds
Answers
Answer:
7 1/8 lbs
Step-by-step explanation:
144 ounces * 1 lbs/ 16 ounces
The ounces cancel
144/16 lbs
7 1/8 lbs
Calculate the slope of the line represented by each table.
Please help me!
Answers
Answer:
slope=2
Step-by-step explanation:
im guezssing
I'll do the first one (on the left) to get you started.
Pick any two rows you want from the table. I'll pick the first and third rows.
These rows say that (2,-1) and (4,4) are points on the line.
Use the slope formula to get...
m = (y2-y1)/(x2-x1)
m = (4-(-1))/(4-2)
m = (4+1)/(4-2)
m = 5/2 is the slope
Answer: 5/2