if x=a and x=b for the solution of x^2-3=2x and a<b what is b-a​

Answers

Answer 1

9514 1404 393

Answer:

  4

Step-by-step explanation:

Written in standard form, the quadratic is ...

  x^2 -2x -3 = 0

This can be factored as ...

  (x -3)(x +1) = 0

so the solutions are ...

  x = 3, x = -1 . . . . . . values of x that make the factors zero

The difference of interest is ...

  3 -(-1) = 4


Related Questions

HELP PLS!!! You invested ​$25,000 in two accounts paying 7% and 8% annual​ interest, respectively. If the total interest earned for the year was $1900, how much was invested at each​ rate?

Answers

All u have to do is divide the answer is %3

Lian has $1.00 . She has only nickles and dimes. Lian has twice as many dimes and nickles

Answers

Answer:

4 nickels and 8 dimes

Step-by-step explanation:

4 nickels is 0.20 and 8 dimes is 0.80

Answer:

4 nickles 8 dimes

Step-by-step explanation:

4 nickles 8 dimes

plsssssssssss helpppppppppppppppppppppppp

Answers

Answer:

6ft

Step-by-step explanation:

Just use 11 ft - 5ft = 6 ft

Have a good day

One angle of a triangle measures 102°. The other two angles are congruent.

Enter and solve an equation to find the measure x of the congruent angles.

An equation is_______ = 180.

The congruent angles each measure _______°.

Answers

Answer:

if i am rightthe two other angles arre 39

Step-by-step explanation:

if a triganle is 180 degrees and you have already one angle then all you do is subtract 180 and 102

180-102= 78

then since you need the other two angles all you do is divide it by 2

so 78/2= 39 so the two missing anlges are 39

Solve by factoring:

3x−17x^1/2+10=0

Answers

Answer:x=5,2/3

Step-by-step explanation:

-b plus over minus square root over b squared -4(ac)/2a

17 plus over minus square root (-17) squared -4 x (3 x10)/2 x 3

x= 17 plus minus 13/6

x=5,2/3

Is (1,3) a solution of y = 3x2?

Answers

No this is the awnser-3x+y=2

t - 27 = - ( 27 - t )

Answers

Answer:

0

I dont remember why but I know for a fact it's zero

0

When there is a in front of an expression in parentheses, change the sign of each term in the expression

The statement is true for any value of , because both sides are identical

A car travels at a constant speed of 20m/s.Work out the distance travelled [in meters] by the car after (a) 4seconds (b) 12seconds (c) 3mins (d) 2hrs​

Answers

Answer:

This is quite an easy question u should try it yourself

Step-by-step explanation:

The formula is

V= d / t

Therefore the distance is

D = vt

So since they alredy gave u that v = 20m/s

Just put in the time, remember to change it to seconds

Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $29 monthly fee and charges an additional $0.13 for each minute of calls. The second plan has an $11 monthly fee and charges an additional $0.17 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?

Answers

Answer:
With 250 minutes of calls the cost of the two plans is the same

Step-by-step explanation:
We must write an equation to represent the cost of each call plan.
For the first plan
Monthly fee
$ 13
Cost per minute
$ 0.17
If we call x the number of call minutes then the equation representing the cost c for this plan is:

For the second plan
monthly fee
$ 23
Cost per minute
$ 0.13
If we call x the number of call minutes then the equation representing the cost c for this plan is:

To know when the cost of both plans are equal, we equate the two equations and solve for x.



With 250 minutes of calls the cost of the two plans is the same: $55.5

8x+9 equals 5X +6 what is the value of X

Answers

8x + 9 = 5x + 6

8x - 5x = 6 - 9

3x = -3 / : 3

x = -1 ← the end answer

plese help me fast I will mark you brainlist​

Answers

Answer:

x= 70 y= 70

Step-by-step explanation:

What are the coordinates of the point on the directed line segment from (−4,10) to (-2, -2) that partitions the segment into a ratio of 3 to 1? HURRYYYY!!!!

Answers

Answer:

(-2.5 , 1)

Step-by-step explanation:

the x- coordinates :

[(3×(-2)) + (1×(-4))] /(3+1)

= (-6 +(-4))/(4)

= -10/4

= -2.5

the y-coordinates :

[(3×(-2)) + (1×10)] / (3+1)

= (-6+10)/(4)

= 4/4

= 1

so, the coordinates are (-2.5 , 1)

Answer:

(-2.5, 1)

Step-by-step explanation:

Directed line segment from (−4,10) to (-2, -2).

The ratio = 3/1.

The coordinates are:

x = -4 + 3/4*(-2 - (-4)) = -4 + 3/4*(2) = -4  + 1.5 = - 2.5y = 10 + 3/4(-2 - 10) = 10 + 3/4*(-12) = 10 - 9 = 1

Can someone help me?? 3+3

Answers

Answer:

6

Step-by-step explanation:

count your fingers

The answer is 6 . I hope this helped you

What is the value of x?
A
60°
95-
A. 1550
B. 60°
C. 35°
D. 25°

Answers

180° - 95° = 85°

x = 180° - 85° - 60°

x = 35°
The value of x is c which is 35

What is 4 x 2? thank you!

Answers

Answer:

8

Step-by-step explanation:

4 + 4 = 8

4 x 2 = 8

hope this helps

Answer:

answer is 8 because 4+4 =8 and 2+2+2+2 =8

Help please hurry i need done in 20 minutes

Answers

Answer:

OKAY I WAS STRESSING FOR A QUICK MINUTE THINKING I WAS GETTING SOMETHING WRONG BUT THINK THE ANSWER IS CORRECT

So Cos0= 15/64 (SIMPLIFIED) or in decimal form 0.234375

Step-by-step explanation:

7/8² is 49/64 or (in decimal form) 0.765625

1 - 0.765625 = 0.234375

My nephew needs help with this question

Answers

The domain is the set of all the x-values/inputs used by the function.  

The range is the set of all y-values/outputs used by the function.

For #1:

The domain is { 1, 0, -1, 4 } because those are the x-values.

The range is { 3, 5, 7, -6 } because those are the x-values.

I'll let you try #2.  if you write back with your answer, I'll reply to let you know if you did it correctly.

is 453 exactly divisible by 2​

Answers

Answer:

No, for any number to be divisible by 2, the one and only rule is that it's even. This number is odd

How much water should be added to 1 gallon of pure antifreeze to obtain a solution that is 10% ​antifreeze?

To obtain a 10% antifreeze​ solution, _ ​gallon(s) of water should be added.

Answers

Answer:

Let x = amount of water to be added with 0% antifreeze

1 = amount of pure antifreeze at 100%

x+1 = amount of the mixture at 60% antifreeze

Step-by-step explanation:

1= .60x + .60

Subtract .60 from each side:

1-.60 = .60x

.40 = .60x

Divide both sides by .60

Check: Total antifreeze = 1 gallon in total mixture of 1 + 2/3 gallon = 5/3 gallons. 1 gallon divided by 5/3 equals 3/5 which is 60%. It checks.

The following are all 5 quiz scores of a student in a statistics course. Each quiz was graded on a 10-point scale.

Answers

Answer:

I think

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Hope this help! Try my best :)

is 2 1/3 a rational number

Answers

The mixed number 2 1/3 is a rational number. It can be written as the improper fraction 7/3.

Answer:

it is a rational number.

Step-by-step explanation:

rational numbers are numbers which can be written as a fraction.

V=S^3 S=20 please help me lol

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:

V = 8,000

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Evaluating...}}\\\\V=s^3\\-----------\\\rightarrow V=(20)^3\\\\\rightarrow V = 20 * 20 * 20 \\\\\rightarrow V = 8,000[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

In 2004, baseball player Lance Berkman had
172 hits out of 544 at bats. What was Lance
Berkman's Batting Average in 2004 rounded to
the nearest thousandth?

Answers

Answer:1 thousandth

Step-by-step explanation:

1/9 y -5 = - 7 what does Y equal?

Answers

⅑y - 5 = -7

⅑y = -7 + 5

⅑y = -2 / · 9

y = -18

Dominic earns $14.25 an hour. Last week he worked 28 hours. How much did Dominic earn last week?

Answers

Answer:

$399

Step-by-step explanation:

If he earns $14.25 an hour and works 28 hours, we can find out how much he's earned by multiplying the rate per hour by the number of hours,

14.25 × 28 =

399

He earned $399 last week.

What is the slope of a line perpendicular to the line whose equation is x+y=5x+y=5. Fully simplify your answer.

Answers

Answer:

1

Step-by-step explanation:

x+y = 5

Put this equation in slope intercept form y = mx+b where m is the slope

y = -x +5

The slope of the line is -1

Perpendicular lines have slopes that multiply to -1

-1 * m = -1

m = 1

The slope of the perpendicular line is 1

Find x and RS if RS = 5x, ST = 3x, and RT =48

Answers

Answer:

x = 6, RS = 30

Step-by-step explanation:

5x + 3x = 48

8x = 48

8x/8 = 48/8

x = 6

RS = 5x

RS = 5(6)

RS = 30

how to calculate angle which is 25 degree?

Answers

For calculate a angle we use Protactor .First place the protractor at 0 and starting point of angle .Now count the angle where it meets .

In the figure below, S is between Q and T, and R is the midpoint of QS. If RT = 14 and RS = 6, find QT.

Please Help Quickly!

Answers

Answer:

QT = 26

Step-by-step explanation:

QT = RT + QR + RS

QR = RS

QT = 14 + 6 + 6

QT = 20 + 6

QT = 26

Solve the equation z^4+4z^2+16=0

Answers

Answer:

As this is a quartic equation, we should expect four roots (although some may end being repeated). Notice also that the equation is symmetrical, which suggests that there might be an element of symmetry in the answer.

First, as this equation is a quadratic in terms of z2 , we can use our formula for finding the roots of a quadratic equation to give the value(s) of z2 . [If you have a problem seeing this, use the substitution y=z2 , and you get a quadratic in y .]

z2=−4±42−4×1×16√2×1=−4±16−64√2

=−4±−48√2=−2±12−−√i=−2±23–√i

=4(−12±3√2)i

=4(cos(2kπ3)+isin(2kπ3)) , where k∈1,2

=4e2kiπ3

As this is the value of z2 , whereas we want z , we need to take the square roots of both sides

z=4–√ekiπ3+nπ , where n∈0,1

=2e(k+3n)iπ3

=2cis((k+3n)iπ3)

As we have two values of k and two values of n , this gives us four solutions.

Writing these angles in terms of degrees, we have: 60, 120, 240 and 300

Evaluating, we end up with the four solutions

z=1±3–√i∪z=−1±3–√i

You can substitute z^2 = x,

Then you get x^2+4x+16=0

Step-by-step explanation:

z=1±3–√i∪z=−1±3–√i

You can substitute z^2 = x,

Then you get x^2+4x+16=0

Then you can use classical x1,2 = (-b +- √[b^2–4ac])/2a

X1,2=(-4+-√[16–16*4])/2

After you solve that you substitute back z^2 = x

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