Solve the following quadratic by completing the square. (Hint: It won't factor) x2-10x+5=0

Answers

Answer 1

[tex]5+2\sqrt{5} , 5-2\sqrt{5}[/tex]    Answer:   5±2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

x2 -10x=5=0

x2-10x+25=-5+25

(x-5)(x-5)=20

[tex](x-5)^{2} =\sqrt{20}[/tex]

[tex]\sqrt{x-5}=\sqrt{20}[/tex]

x-5=±[tex]\sqrt{20[/tex]

x=5±[tex]\sqrt{5*4[/tex]

x=5±2[tex]\sqrt{5}[/tex]


Related Questions

Can someone PLEASE HELLPP MEE

Answers

for x=-4, y=17. for x=-2, y=11. for x=0, y=5. for x=2, y=-1.

Alr let’s try this again...
Kiba is the best :3 Kiba is the best :3 Kiba is the best :3 Kiba is the best :3 Kiba is the best :3 Kiba is the best :3 Kiba is the best :3 Kiba is the best :3
If kiba and I went on a date and our total bill was $39.99 plus $3 dollar tip, what is our total bill for that date? ;))

Answers

Answer:

$42.99

Step-by-step explanation:

$39.99 + $3= $42.99

Answer:

42.99

Step-by-step explanation:

I also a agree that kiba is the best

If RT¯¯¯¯¯¯ is extended to contain a point W so the UW has a length of 8, what is the length of SW?

Answers

Answer:

8

Step-by-step explanation:

SW and UW are equal because they are at the midpoint . A midpoint is a point on a line segment that divides it into two congruent segments.

I WILL GIVE BRAINLEST!!!!!!!


Angela has 5 fewer quarters than twice the number of her dimes. If d represents
the number of dimes Angela has, which expression represents the total number of
Angela’s quarters and dimes?
A. 2d – 5
B. 5 – 2d
C. d + (2 – 5d)
D. d + (2d – 5)


PLSSS SHOW YOUR WORK PLSSSS

Answers

Answer:

A

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Let’s say that she has 10 dimes. 2(10)-5=Q

20-5=15

15 quarters

We doubled her dimes, and subtracted 5 to find quarters.

You can fill anything for D and remind true

Tell whether the following equation has one, zero, or infinitely many solutions. 2(4x + 10) = 8x + 20. Group of answer choices:

A) Infinitely many solutions

B) One solution

C) Zero solutions

Answers

Answer:

The equation will have infinitely many solutions.

Option A is correct

Step-by-step explanation:

We need to tell if the equation [tex]2(4x + 10) = 8x + 20[/tex] has one, zero, or infinitely many solutions.

First we solve the equation to find the value of x

[tex]2(4x + 10) = 8x + 20[/tex]

First multiply 2 with terms inside the bracket

[tex]8x+20=8x+20[/tex]

Now Subtract 20 from both sides

[tex]8x+20-20=8x+20-20[/tex]

[tex]8x=8x\\0=0[/tex]

So, the equation will be true for all values of x

As after solving the equation we get 0=0 so, the equation will have infinitely many solutions.

Option A is correct

Which point is located at
2.15?
PLEASE HELP IN 30 MINUTES

Answers

Answer:

it is a

Step-by-step explanation:

Answer:

a

Step-by-step explalan

Given 4s+3-8t when s=7 and t=2.

Answers

Answer:

15

Step-by-step explanation:

[tex]4x+3-8t\\\\s=7\\\\t=2\\\\4(7)+3-8(2)\\\\28+3-16\\\\28-13\\\\15[/tex]

PLEASE HELP!!! WILL GIVE BRAINLIEST!!!

Answers

Answer:

112 degrees

Step-by-step explanation:

The other 2 interior angles are (180-44)/2 which is 68.

180 (straight line) -68 = 112

SIMPLE CORDINATES. BRAINLIEST, 5 STAR, AND A LIKE IN RETURN. SHOW SOME WORK PLEASE THIS IS DUE SOON.

Answers

Answer:

i think point A ( -3 , 4)

(-3,4)

zasxedcrfvtgbyhjffgh...

Answers

Answer:

yes?

Step-by-step explanation:

Can somebody who knows how to do this plz help answer all the questions correct..thanks!

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :D

Answers

Answer:

1) 50/100 - 50%

2) 70/100 - 70%

3) 60/100 - 60%

4) 68/100 - 68%

5) 38/100 - 38%

6) 0.05/100 - 5%

Using PT in the Coordinate System
llus
Find the distance between the two points.
(-1,3)
(4,2)
✓ [?]
Enter the number that
goes beneath the
radical symbol.

Answers

Answer:

The distance between the two points is [tex]\sqrt{26}[/tex]

Step-by-step explanation:

The formula of the distance between two points (x1, y1) and (x2, y2) is

d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]

∵ The points are (-1, 3) and (4, 2)

x1 = -1 and x2 = 4

y1 = 3 and y2 = 2

→ Substitute them in the formula of the distance above

∵ d = [tex]\sqrt{(4--1)^{2}+(2-3)^{2}}[/tex]

∴ d = [tex]\sqrt{(4+1)^{2}+(-1)^{2}}[/tex]

∴ d = [tex]\sqrt{(5)^{2}+1}[/tex]

∴ d = [tex]\sqrt{25+1}[/tex]

∴ d = [tex]\sqrt{26}[/tex]

The distance between the two points is [tex]\sqrt{26}[/tex]

A consumer group is investigating the relationship between sugar content and number of calories for different brands of cereal. The equation of the line of best fit for the data is y = 4x + 80, where x is the number of grams of sugar and y is the number of calories in one serving.

What is the meaning of the y-intercept in the line of best fit?

A. Out of all the brands of cereal, the greatest number of calories in one serving was 80.
B. The number of calories in one serving is estimated to be 80 if there is 0 grams of sugar.
C. Out of all the brands of cereal, there were 0 brands of cereal that had 80 calories in one serving.
D. The number of calories in one serving is expected to increase by 80 for each increase in 1 gram of sugar.​

Answers

Answer:

The answer is B

Step-by-step explanation:

B says that 80 grams is what you have if x is 0 which makes more sense than the rest

The statement second states "The number of calories in one serving is estimated to be 80 if there are 0 grams of sugar" option (B) is correct.

What is the line of best fit?

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

We have:

The equation of the line of best fit for the data:

y = 4x + 80

If we put x = 0 then y:

y = 4(0) + 80

y = 80

This means the number of calories in one serving is estimated to be 80 if there are 0 grams of sugar.

Thus, the statement second states "The number of calories in one serving is estimated to be 80 if there are 0 grams of sugar" option (B) is correct.

Learn more about the line of best fit here:

brainly.com/question/14279419

#SPJ2

The auto repair shop took 2.5 hours to repair Victoria's car. The cost of the
parts needed was $93, and the total bill was $248. What is the repair shop's charge per
hour for labor?

Answers

Answer:D

Step-by-step explanation:

An auto repair shop charged $75/h  for labor plus an additional $89 for parts.

If the shop worked for 2 h.

C = Represented the total repair cost .

Than the equation becomes

C = 75 × 2 + 89

C = 75 (2) + 89

Therefore the total cost for the repair  is represented by C = 75 (2) + 89 .

Option (D) is correct .

Answer:

Step-by-step explanation:

the charge is 77 dollars per hour of labor

Osvaldo wants to go to school to be a reporter. He takes out a loan for $140,000. The interest rate on this will be 3% for 4 years. What would the interest be that Osvaldo would have to pay?

Answers

9514 1404 393

Answer:

  $16,800

Step-by-step explanation:

The interest is computed using the formula ...

  I = Prt

where P is the loan amount, r is the annual rate, and t is the number of years.

Filling in your given information, you have ...

  I = $140,000 × 0.03 × 4 = $16,800

Osvaldo would have to pay $16,800 in interest.

Need answer ASAP! Plsss!!!

Answers

Answer:

2/9

Step-by-step explanation:

You multiply the probability of the green ball which is 8/12 by the probability of the purple ball which is 4/12 and you get 0.222 which is also 2/9.

Some one help ASAP it’s already 2am I want sleep please help I give crowns

Answers

Final Answer: [tex]x = 12[/tex]

Steps/Reasons/Explanation:

Question: What is the solution to the equation [tex]\frac{1}{2}x + 3 = \frac{2}{3}x + 1?[/tex]

Step 1: Simplify [tex]\frac{1}{2}x[/tex] to [tex]\frac{x}{2}[/tex].

[tex]\frac{x}{2} + 3 = \frac{2}{3}x + 1[/tex]

Step 2: Simplify [tex]\frac{2}{3}x[/tex] to [tex]\frac{2x}{3}[/tex].

[tex]\frac{x}{2} + 3 = \frac{2x}{3} + 1[/tex]

Step 3: Multiply both sides by [tex]6[/tex] (LCM of [tex]2, 3[/tex]).

[tex]3x + 18 = 4x + 6[/tex]

Step 4: Subtract [tex]3x[/tex] from both sides.

[tex]18 = 4x + 6 - 3x[/tex]

Step 5: Simplify [tex]4x + 6 - 3x[/tex] to [tex]x + 6[/tex].

[tex]18 = x + 6[/tex]

Step 6: Subtract [tex]6[/tex] from both sides.

[tex]18 - 6 = x[/tex]

Step 7: Simplify [tex]18 - 6[/tex] to [tex]12[/tex].

[tex]12 = x[/tex]

Step 8: Switch sides.

[tex]x = 12[/tex]

~I hope I helped you :)~

please help !!! due soon!!!!!

Answers

Answer:

B

Step-by-step explanation:

B is the correct option

Moira solved a problem on the board. What error did Moira make and how can she correct it?

Answers

Answer:

you need to tell us what error she made first then you would find another way to solve the problem and look at all the posiibiltys

Step-by-step explanation:

What is 60% of 40, show your work?

Answers

Answer:

24

Step-by-step explanation:

40×60%=240 240÷100= 24%

Samantha was training to play basketball. She threw the ball 19 times. Gabrielle wrote down all Samantha's throws and for all the ones who got in the basket she added 5 points. For all the throws that weren't successful, she got rid of 3 points. At the end Samantha got 55 points. How many times did Samantha throw the ball in the basket successfully?

Answers

Answer:

15 times.

Step-by-step explanation:

5 x 14 = 70 points

3 x (19-14) = 3 x 5 = 15 points

70 points - 15 points = 55 points.

what is the greatest common factor between 20 and 25

Answers

Answer:

5

Step-by-step explanation:

Solve the inequality.
4x - 12 < 16

Answers

Answer:

x<7

I Believe

                     

-(4x - 7) + 1 = 2 (5 - 2x) solve for x

Answers

Answer:

No solution

Step-by-step explanation:

-(4x - 7) + 1 = 2(5 - 2x)

-4x + 7 + 1 = 10 - 4x

-4x + 8 = 10 - 4x

-4x + 8 ≠ -4x + 10

No solution

Give an example of a data set with an outlier. Describe how the outlier affects the mean, median, and mode of the data ​

Answers

Answer:

Outlier An extreme value in a set of data which is much higher or lower than the other numbers. ... Outliers affect the mean value of the data but have little effect on the median or mode of a given set of data.

Step-by-step explanation:

Hope it is helpful....

I just need help with answering this question

Answers

Answer:

I learned this I I kinda remember what you do is times everything together example 4×7×6 like that do all the sides

Step-by-step explanation:

multiply 17, 12, and 24. then multiply 10, 4, and 12. then add those 2 products.

HOPE THIS HELPS :)

The GCF of 36 uw 3y and 45 u 2y is _____. 9 uy 3 uy 1,620 u 2w 3y 180 u 2w 3y

Answers

Given:

[tex]36uw^3y[/tex] and [tex]45u^2y[/tex]

To find:

The GCF of given expressions.

Solution:

The factor forms of given terms are:

[tex]36uw^3y=2\times 2\times 3\times 3\times u\times w\times w\times w\times y[/tex]

[tex]45u^2y=3\times 3\times 5\times u\times u\times y[/tex]

Now, greatest common factor (GCF) of given terms is

[tex]GCF(36uw^3y,45u^2y)=3\times 3\times u\times y[/tex]

[tex]GCF(36uw^3y,45u^2y)=9uy[/tex]

So, the GCF of given terms is 9uy.

Therefore, the correct option is A.

9) How much edging is needed to go
around a bulletin board that is 3 feet
high and 2 feet wide?

Answers

Answer:

10 feet worth

Step-by-step explanation:

3+3=6

2+2=4

6+4=10

factorise the following
a) 32a^2-98b^2
b)m ^2 -64n^2

Answers

Answer:

a) 2(4a + 7b)(4a - 7b)

b) (m - 8n)(m + 8n)

Step-by-step explanation:

[tex]a)32a^{2} - 98b^{2}\\=(2 * 16)a^{2} - (2*49)b^{2}\\=2(16a^{2} -49b^{2})\\=2 ([4a]^{2}-[7b]^{2})\\=2(4a+7b)(4a-7b)[/tex]

[tex]b) m^{2} - 64n^{2}\\= (m)^{2} - (8n)^{2} \\= (m-8n)(m+8n)[/tex]

happy to help:)

2.5 years = (how many weeks)

Answers

Answer:

130.357 weeks

Step-by-step explanation:

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