11. Solve by completing the square.
- 10x = 5x^2-1

Answers

Answer 1

Answer:

x = (√6/√5) - 1

Step-by-step explanation:

- 10 x = 5x^2 -1

can be written as

5x² + 10x - 1 = 0

completing the square method :

for quadratic equation of the format ax² + bx + c = 0 ,

step 1, divide equation by a

therefore. dividing the equation by 5

=> x² + 2x - (1/5) = 0

=> x² + 2x = 1/5

c - 2b/4 = -1/5 - (2(2)/4) = -(6/5)

b/2 = 1

=> x² + 2x +1 = 6/5

=> (x + 1)² = 6/5

=> x = (√6/√5) - 1


Related Questions

Make a table of a linear function whose equation is y=-2x +4.
Х
у
-1
0
I
1
2

Answers

Answer:

Step-by-step explanation:

y = -2x + 4

x               y

-1             6

0              4

1                2

2               0

y = -2(-1) + 4 = 2 + 4 = 6

y = -2(0) + 4 = 0 + 4 = 4

y = -2(1) + 4 = -2 + 4 = 2

y = -2(2) + 2 = -4 + 4 = 0

This is a serious question.

What is 69 x 1 59/20

Will give brainliest

Answers

Answer:

10971/20

Step-by-step explanation:

69 * 159/20

69/1 * 159/20

69 * 159 = 10971

1 * 20 = 20

So the answer is basically 10971/20.

The table shows conversions of common units of length.

Approximately how many inches are in 2500 millimeters?

Please hurry up with your answer!!

Answers

Answer:

98.4252

Step-by-step explanation:

This is because 1 millimeter is 0.0393701 inches;2,500 millimeters =0.0393701 multiply 2,500=98.4252.

Answer:

It’s would be 98

Step-by-step explanation:

Have a good rest of your day:)

HELP TIMED!

Piece Wise functions

Answers

Answer:

Last Option: (-∞, 4) U (4, ∞)

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

We see that our x-values span all numbers except x = -4. Therefore, it is not included in our domain:

(-∞, 4) U (4, ∞)

Please answer fast! (10 points)

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Line m has no y-intercept, and its x-intercept Is (3, 0). Line n has no x-intercept, and its y-intercept Is (0, -4).
The equation of line m is ____
and the equation of line n is ____

Answers

Answer:

can u show me a picture of this problem.

Step-by-step explanation:

At a game booth, a student gets a box of candy as the prize for winning a game. The boxes come in four colors: white, red, green, and blue. There are 8 boxes of each color. All the boxes are equally likely to be given away as prizes. Which expression shows the probability of the first winner receiving a white box and the second winner also receiving a box of the same color? (1 point) 8 over 32 multiplied by 8 over 31 8 over 32 plus 8 over 31 8 over 32 plus 7 over 31 8 over 32 multiplied by 7 over 31

Answers

Answer:

32 multiplied by 8 over 31 8 over 32 plus

Step-by-step explanation:

i think this is the answer not quite sure tho

Answer:

32 multiplied by 8 over 31 8 over 32 plus

Step-by-step explanation:

4.25 -2.5x = 14.75
I need help

Answers

[tex]\text {Hey! Let's Solve this Equation!}[/tex]

[tex]\text {\underline {The First Step is to do Keep Change Change (KCC)}}[/tex]

[tex]\text {Keep: 4.25}\\\text {Change: - into +}\\\text {Change: 2.5x into -2.5x}[/tex]

[tex]\text {\underline {The Next Step is to Flip the Equation}}[/tex]

[tex]\text {Before: 4.25+-2.5x=14.75}\\\text {After: -2.5x+4.25=14.75}[/tex]

[tex]\text {\underline {The Next Step is to Subtract 4.25}}[/tex]

[tex]\text {-2.5x+4.25-4.25=14.75-4.25=10.5}\\\text {-2.5x=10.5}[/tex]

[tex]\text {\underline {The Final Step is to Divide -2.5}}[/tex]

[tex]\text {-2.5x/-2.5=10.5/-2.5}[/tex]

[tex]\text {Remember that Dividing a Positive to a Negative will Equal a Negative.}[/tex]

[tex]\text {Your Answer Would Be:}[/tex]

[tex]\fbox {x=-4.2}[/tex]

[tex]\text {Best of Luck!}[/tex]

Hey there!☺

[tex]Answer:\boxed{x=-4.2}[/tex]

[tex]Explanation:[/tex]

[tex]4.25-2.5x=14.75[/tex]

Let's start by simplifying both sides in the equation.

[tex]4.25+-2.5x=14.75\\-2.5x+4.25=14.75[/tex]

Now we subtract 4.25 from both sides in the equation.

[tex]-2.5x+4.25-4.25=14.75-4.25\\-2.5x=10.5[/tex]

Now in our third/final step, we will divide both sides by -2.5.

[tex]\frac{-2.5x}{-2.5}= \frac{10.5}{-2.5}[/tex]

Now we simplify 10.5/-2.5.

[tex]\frac{10.5}{-2.5}=-4.2[/tex]

[tex]x=-4.2[/tex]

Hope this helps!

If RS=5, ST=15, what is the length of RT? Show your work

Answers

Answer:

20 Units

Step-by-step explanation:

RS plus ST equals RT.

Take this visual:

_____/_______________

R       S                                 T

5 un                15 un

Using the segment addition postulate, we can tell RS+ST=RT

5+15=20

Hope this helps :-)

Please help. What is the slope for #2?

Answers

Answer: -4

Step-by-step explanation:

To find the slope, you want to use the slope formula [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. You can use any two points to solve. Let's use (-2,3) and (-1,-1).

[tex]m=\frac{-1-3}{-1-(-2)} =\frac{-4}{1} =-4[/tex]

Another way to tell is by looking at the arrows with a -4 written next to it. That also tells you what the slope is.

Which equation has the solution x =
3?
8x – 1= 23
Submit Answer
O 82 +1= 21
6x + 3= 81
6x + 7 = -25

Answers

Let's solve each equation for x

8x - 1 = 23

Add 1 to each side.

8x = 24

Divide both sides by 8

x = 3

Luckily, we already found the equation which has the solution of x = 3

The answer is: 8x - 1 = 23

(please help) the question is in the comments because idk whats going on with brainly-

Answers

I need help too I’m in 9th grade math and I’m having an exam right now pls help it’s multi poll questions

Given the equation: y=(x-1)(x+3). what are the x-intercepts? *

Answers

Answer:(

(1,0),(-3,0)

Step-by-step explanation:

Evaluate the expression for d = 43.4.
Write your answer as a decimal or whole number.
4.4(d − 35) =

Answers

Answer:

36.96

Step-by-step explanation:

given

d = 43.4

equation

4.4(d - 35) =

plug d in

4.4(43.4 - 35) =

solve within parentheses

4.4(8.4) =

multiply

36.96

-1=(5+x)/6
Please help me

Answers

Answer:

-11

Step-by-step explanation:

Answer:

[tex]x=-11[/tex]

Step-by-step explanation:

[tex]-1=\frac{\left(5+x\right)}{6}[/tex]

Switch sides:

[tex]\frac{\left(5+x\right)}{6}=-1[/tex]

Multiply both sides by 6:

[tex]\frac{6\left(5+x\right)}{6}=6\left(-1\right)[/tex]

[tex]5+x=-6[/tex]

Subtract 5 from both sides:

[tex]5+x-5=-6-5[/tex]

[tex]x=-11[/tex]

If M is the midpoint of segment AB, then which of the following statements is/are true? AB=MB AM=MB Segment AM is congruent to segment MB.

Answers

AB is the large segment.

AM is half of the large segment.

MB is the second half of the large segment.

AM = MB is true.

Segment AM is congruent to segment MB is true.

AB = MB is false.

The statements that are true.

-Segment AM is congruent to segment MB.

- AM = MB.

What is a midpoint of a line segment?

The midpoint of a line segment is given as,

x = (a + c)/2

y = (b + d) / 2

Where (x, y) is the midpoint and (a, b) and (c, d) are the two endpoints.

We have,

If M is the midpoint of segment AB, then the following statements are true.

- AB = 2MB

Since M is the midpoint of AB, MB is half the length of AB.

Therefore,

AB is twice as long as MB.

- AM = MB

Since M is the midpoint of AB, AM, and MB are equal in length.

This is a property of the midpoint of a segment.

Now,

Segment AM is congruent to segment MB.

Since AM and MB are equal in length (as stated in statement 2), they are congruent to each other.

Therefore,

Segment AM is congruent to segment MB with AM = MB statement being true.

Learn more about midpoints of line segments here:

https://brainly.com/question/13792156

#SPJ3

f(x) = 4x - 2
g(x) = 3x - 1
find (f - g) (2)

Answers

Answer:

Step-by-step explanation:

4x - 2 - 3x + 1 = x - 1 is the solution

The Square Root of a whole number is Always, Sometimes or Never a rational
number? *
Always
Sometimes
Never

Answers

The answer is Sometimes

The square root of a whole number is rational Sometimes :)

✨I don't understand ✨​

Answers

Answer:

it is not a that all i know i am not a roket scientist in school LOL

Step-by-step explanation:

In the following problem, which step uses the additive identity to get to the next step? -18 + 73 + 18 -18 + 18 + 73 0 + 73 73 Step 1 Step 3 Step 4 Step 2

Answers

Answer:

Additive identity is 0.

step 3 used the additive identity property.

3. 0+73

Step-by-step explanation:

i think the answer is step 3 sorry if im wrong

Find 7% sales tax on an item that costs 5.95 ​

Answers

Answer:

I got $0.42

Step-by-step explanation:

marked price of an article is rs 1500 what is selling price with 10 %vat



Answers

Answer:

if no discount is allowed

MP = SP = 1500

sp with vat = sp = vat amount

vat amount = vat% of sp

                    = 10% 0f 1500

                    = 150

sp with vat = sp = vat amount

                   = 1500 + 150

                  =   1650

1/5(6+3+1)^2


Need answer asap

Answers

20


step by step explanation:

Which fraction is equal to the decimal 0.125?
I need help now!!!!!!!

Answers

Answer:

125/1000

Step-by-step explanation:

Which of the following expressions match the translation “nineteen more than the product of 4 and a number”? 4n + 19 4(n + 19) 19(n + 4) 4 + 19n

Answers

Answer:

4n+19

Step-by-step explanation:

The product of 4 and a number=4n

nineteen more than=+19

therefore the equation is 4n+19

Hope this helps!

Answer:

4n+19

Step-by-step explanation:

4n+19

nineteen more than=+19

therefore the equation is 4n+19

Hope this helps!

On average, Mary can drive to the supermarket in 10 minutes but, depending on traffic, the drive can vary from the average by 5 minutes.

Which absolute value equation can be used to calculate Mary's maximum and minimum drive times?

Let x represent the maximum and minimum time.


∣∣x−5∣∣=10

∣∣x+10∣∣=5

∣∣x+5∣∣=10

|x−10|=5

Answers

Answer:

|x−10|=5

The maximum and minimum time(x) gets subtracted by 10 resulting in the 5 minute time vary.

Answer:

its D. |x−10|=5 if you dont believe me heres proof

Step-by-step explanation:

Carson bought 2.5 pounds of gummy bears for $2.75 per pound. How much did he spend on gummy bears? (Round your answer to the nearest hundredths place.) Please help meeeeeeee

Answers

Since this number has a decimal. Break the answer apart. 2.75•2=$5.50. That would be for two pounds. For another additional 0.5 pounds, you would divide $2.75/2= 1.375. This would be rounded up to 1.38. Now you add 5.50+1.38=$6.88

What is the answer ?Pls help!

Answers

it would also be 31.6

what is 4n-2n=4 i got lost on that

Answers

Answer:

n = 2

Step-by-step explanation:

4-2 = 2n

[tex]\frac{2n}{4} =2[/tex]

4 x 2 =  8

2 x 2 = 4

8 - 4 = 4

An airplane flies with a constant speed of 920 km/h. How far can it travel and 4 hours 12 minutes?​

Answers

Answer:

3,864 Km

Step-by-step explanation:

920/60=15.333333

15.33333*252=3,864

If XY= 30, and XZ= 100, then YZ= ____.

Answers

Answer:

yz= 100-30

yz= 70.

hope it helps.

Other Questions
Urgent please help!!!!! A die is tossed. If the number rolled is greater than 2, what is the probability that the number rolled is 3? Now, demonstrate a net force of 300 N to the right. How many ways can you do it? When Joseph first starts working at a grocery store, his hourly rate is $10. For each year he works at the grocery store, his hourly rate increases by $0.50. Joseph's hourly rate R, in dollars, is a function of t, the number of years he works at the grocery store. Write the function's formula. Exercise 2-6 Analyzing account entries and balances LO A1 Use the information in each of the following separate cases to calculate the unknown amount. Corentine Co. had $152,000 of accounts payable on September 30 and $132,500 on October 31. Total purchases on account during October were $281,000. Determine how much cash was paid on accounts payable during October. On September 30, Valerian Co. had a $102,500 balance in Accounts Receivable. During October, the company collected $102,890 from its credit customers. The October 31 balance in Accounts Receivable was $89,000. Determine the amount of sales on account that occurred in October. During October, Alameda Company had $102,500 of cash receipts and $103,150 of cash disbursements. The October 31 Cash balance was $18,600. Determine how much cash the company had at the close of business on September 30. General____built a road to Fort Duquesne, but was killed on the way to the fort.A) BraddockB)AbrahamC)LeeD)AmherstE)Wolfe Is 0.45 repeating an integer The __________ were hired hands to help with ranching on the settlements.a.vaquerosb.ayuntamientosc.alcaldesd.soldiers An analog baseband audio signal with a bandwidth of 4kHz is transmitted through a transmission channel with additive white noise. The channel is assumed to be distortionless, and the power spectral density of white noise, No/2 is 10 WHz. An RC low-pass filter with a 3-dB bandwidth of 8 kHz is used at the receiver to limit the output noise power. Calculate the output noise power. Read the folowing dialogue carefully. Then answer the following question.Pablo: Hola, me llamo Pablo.Luisa: Me llamo Luisa. Mucho gusto. Cmo ests?Pablo: Bien, gracias. Y t?Luisa: Muy bien, gracias. Hasta luego.Pablo: Adis.Decide if the following statement is True or False.Luisa plans to see Pablo later.O TrueO False Taino went to a professional basketball game. He spent $54.85 for a ticket, $4.99 for a hot dog, and $2.15 for a soda. What is the total amount that he spent? Use mental math to find the sum. Which of the following opera types sought to reflect simplicity and real human emotions?a.opera seriab.opera buffac.serious operad.tragic opera If g (x) = StartFraction x + 1 Over x minus 2 EndFraction and h(x) = 4 x, what is the value of (g circle h) (negative 3)?Eight-fifthsFive-halvesFifteen-halvesEighteen-fifths Which of the following school items is made for fixing mistakes?un marcadoruna plumaun blocuna goma de borrar What were two effects of the Navigation Acts? how is scientific notation used in the real world why more and more services are being developed by businesses today? what is -66 2/3 - 24 1/8 + -78 3/4 A car accelerates from rest at 7.55 m/s2 for 4.25 s. Determine the final velocity of the car.And calculate the cars displacement. At a grocery store, Rick bought 4 loaves of bread and 3 gallons of milk for $20. Danny bought 6 loaves of bread and 2 gallons of milk for $25. Identify the cost of a loaf of bread and a gallon of milk