Does someone knows how to solve this. Step by step?

Completing the Square:

x^2-6x=15​

Answers

Answer 1

Answer:

[tex]x_1=3+2\sqrt{6}[/tex]

[tex]x_2=3-2\sqrt{6}[/tex]

Step-by-step explanation

[tex]\rule{100mm}{0.5mm}[/tex]

                           [tex]x^2-6x=15[/tex]

[tex]x^2-6x+\left(\dfrac{6}{2}\right)^2-\left(\dfrac{6}{2}\right)^2=15[/tex]

                   [tex]x^2-6x+3^2=15+3^2[/tex]

                     [tex]x^2-6x+9=15+9[/tex]

                          [tex](x-3)^2=24[/tex]

                       [tex]\sqrt{(x-3)^2} =\sqrt{24}[/tex]

                              [tex]x-3=\pm2\sqrt{6}[/tex]

                                  [tex]\red{\boxed{x_1=3+2\sqrt{6}}}[/tex]

                                  [tex]\red{\boxed{x_2=3-2\sqrt{6}}}[/tex]                                

[tex]\rule {100mm}{0.5mm}[/tex]


Related Questions

Jeanna is making holiday cupcakes for her family. She typically makes 2 dozen red velvet and 3 dozen gingerbread spice cake. Since everyone is staying home for the holiday, she needs to increase this standard amount by 3 to have enough to send to family and friends far and wide. How many dozens of cupcakes will Jeanna need to make?

Answers

Answer:

15 dozens of cakes

Step-by-step explanation:

It is given that Jeanna is making cupcakes for her family and she normally makes 2 dozens of red velvet cakes and 3 dozens of gingerbread spice cakes. But as everybody is staying at home, Jeanna wants to increase the standard amount by 3 for enough cakes.

So,

2 dozens of velvet cakes, i.e.

2 x 12 = 24 red velvet cakes

Increasing this amount by 3 times will give us 24 x 3 = 72 red velvet cakes.

Similarly,

3 dozens of gingerbread spice cakes, i.e.

3 x 12 = 36 gingerbread spice cakes

Increasing this amount by 3 times will give us 36 x 3 = 108 gingerbread spice cakes.

Therefore the total number of cakes is = 72 + 108

                                                                 = 180 cakes.

We know 1 dozen = 12

Therefore dividing 180 cakes by 12, we get

[tex]$=\frac{180}{12}$[/tex]

= 15 dozen cakes.

Therefore, now Jeanna will have to make 15 dozens of cupcakes for all.

Find the equation of the line.
Use exact numbers.
y=___x+____


Answers

The correct answer is
Y= 2x + 4

Because the line lies on the number “4” which is on the Y axis
And the slope is 4 spaces up and 2 spaces to the right

Pleaseeeee answer !!!!!!!!!! What is the triangle ?! Will
Mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

Isosceles Obtuse

Step-by-step explanation:

one angle is greater than 90 degrees makes it obtuse

two sides are same so isoscleles

pls give brainliest

Solve for w.

−(1/4w+8)+8=3

w=134
w = 52
w=−34
w=−12

Answers

Solve for w by simplifying both sides of the equation, then isolating the variable.

D. w = −12

Derin is buying a new car at the price of $14,799.99. If he must pay 5% in sales tax, how much will his new car really cost him

Answers

it will cost him 15,539.99

Shirts are on sale for 30% off. The original price of one shirt is $15. What is the discounted price of the shirt? Write your answer as a dollar amount.

Answers

Answer:

4.5

Step-by-step explanation:

15 x 0.30

Answer:

$35

Step-by-step explanation:

$15 divided by 30%=$50

$50 was the original price

50-15=35

$35 was the discounted price

A landscaping service company charges customers a one-time fee and an hourly rate of $15. For 1 hour of service, the company charges $45. Write an equation to represent the total charge C for h hours of landscaping.

Answers

Answer:

C = $30 + $15h

Step-by-step explanation:

Given that:

Hourly rate = $15

One time fee = x

Amount charged for an hour of service = $45

Hence,

One time fee + $15* 1 = $45

One time fee = $45 - $15

One time fee = $30

Hence, total charge C for h hours of landscaping:

Total charge = one time fee + (hourly charge * number of hours)

C = $30 + $15h

A dog has a litter of 5 puppies. You plan to adopt 2 of the puppies. In how many ways can you choose 2 of the puppies from the litter?

Answers

Step-by-step explanation:

Number of choices = 5C2 = 5 * 4 / (1 * 2) = 10.

please help me out! I need help asap

Answers

Answer:

That's a lot also can i get brainliest please

Step-by-step explanation:

1: 16.50

2: 45.00

3: 30

4: half or 1.5

5: 60

6: 20

7: 315

ACe
medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing 119 pounds requires 136 milligrams of medicine.
What is the weight of a patient who requires 200 milligrams of medicine?

Answers

Answer:

weight of the patient = 175 pounds

Step-by-step explanation:

Patient body weight : medicine

119 : 136

What is the weight of a patient who requires 200 milligrams of medicine?

Let

Patient body weight = x

Patient body weight : medicine

x : 200

Equate both proportions

119 : 136 = x : 200

119 / 136 = x / 200

Cross product

119 * 200 = 136 * x

23,800 = 136x

x = 23,800 / 136

= 175

x = 175 pounds

Lorraine and Bea are learning to type on a computer keyboard, Lorraine's
typing speed is represented by the equation y = 9x where y is the number of
words she types and is the number of minutes, Bea's typing speed is given by the graph

Answers

Answer:

A

Step-by-step explanation:

I took one for the team

Answer:

yes for the exam its a

Step-by-step explanation:

Which fraction is equivalent to 0.4?

StartFraction 4 over 100 EndFraction
One-fourth
Four-tenths
StartFraction 4 over 1 EndFraction

Answers

Answer:

Four-tenths

Step-by-step explanation:

Four-tenths

Hope it helps you in your learning process.

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.

(04.07A) Two quantities are related, as shown in the table below: x y 2 10 4 9 6 8 8 7 Which equation best represents the relationship? y = 1 over 2x + 11 y = negative 1 over 2x + 11 y = 2x + 10 y = 2x + 11

Answers

Answer:

y = negative 1 over 2x + 11

Step-by-step explanation:

I know this because I had the same test as you and that is what I put and I got it right.

please help!!! if anyone knows

Answers

Answer:

The answer is 24in a am very sure

Step-by-step explanation:

Answer: The missing side is 24 inches

Step-by-step explanation:

Since it is a right angle that  means that we can use the Pythagorean Theorem formula to solve for   the B.

The formula says that  a^2 + b^2 = c^2   Since we know  a is 18 and c is 30 we will input the value into the formula to solve for b.

18^2 + b^2 = 30^2

324 + b^2 = 900

-324               -324

  b^2 = 576

  b = [tex]\sqrt{576}[/tex]  

  b  = 24

What value(s) of x in the relation below would
create a set of ordered pairs that is not a function?
Justify your answer.
{(0, 5) (1, 5) (2, 6) (x, 7)}

Answers

3 Answers: x = 0, x = 1, or x = 2

==================================================

Explanation:

The relation

{(0, 5) (1, 5) (2, 6) (x, 7)}

has points with x coordinates of: 0, 1, 2, and x.

If we repeated any of the x values listed so far, then we will not have a function.

So if we had the points (0,5) and (0,7), then the input x = 0 leads to multiple outputs. A function is only possible when any input x leads to exactly one output y.

This means that if x = 0, 1, or 2, then we won't have a function.

Side note: The y values can repeat, but if they do, then we won't have a one-to-one function. In this case, y = 5 repeats, so this function is not one-to-one (assuming x is not 0, not 1, and not 2).

You are running an experiment in class where you draw colored marbles out of a bag. There are
eight marbles in the bag, you will draw five times, and you will replace the marble each time. How many ways can you draw the marbles out of the bag?

A: 40

B: 3,360

C: 4,096

D: 32,768

Answers

Answer:

32768 ways

Step-by-step explanation:

Given

Marbles = 8 marbles

Selection = 5 (with replacement)

Required

Determine the number of ways

Because it is a selection with replacement; each selection is as follows:

[tex]First = 8\ marbles[/tex]

[tex]Second = 8\ marbles[/tex]

[tex]Third= 8\ marbles[/tex]

[tex]Fourth = 8\ marbles[/tex]

[tex]Fifth = 8\ marbles[/tex]

Total number of ways is then calculated as:

[tex]Total = 8 * 8 * 8 * 8 * 8[/tex]

[tex]Total = 32768[/tex]

How do linear and exponential functions compare over time?

Answers

Answer:

Exponential Functions

In linear functions, rate of change is constant: as x goes up, y will go up a consistent amount. In exponential functions, the rate of change increases by a consistent multiplier—it will never be the same, but there will be a pattern.

I need help ASAP :) thank you!

Answers

Answer:

x=2, y=0

Step-by-step explanation:

Evaluate the expression.
4.2°

Answers

Answer:

4.2°

Step-by-step explanation:

The result can be shown in multiple forms.

Exact Form: 4.2°

Decimal Form: 4.2

I hope this helps!

can somebody teach me how to do this 1 math question, its about solve for the area! WILL Give Brainiest!

Answers

Answer:

area is 100m  bc u do 10 times 10

Step-by-step explanation:

Answer:

139.27 meters squared

Step-by-step explanation:

So what you're doing is calculating the square's area and half of the circle's area.

The square's area is 100m^2 since 10*10=100

For the circle part, you use πr^2. You know the diameter of the circle, and radius is half of the diameter, so 10/2=5.

π*5^2 = 78.54 m^2

Since you have half of a circle you divide this by 2.

39.27

Finally you add your two areas together

100+39.27=139.27 meters ^2

Solve y−4=3x+5y for y.

Answers

Answer:

-8y = 3x

Step-by-step explanation:

-4y=3x+4

Answer:
y=3/-4x-1


(the slash is a fraction sign)

Micheal walks 3.5 km every day . How far does he walk in 9 days . Write in meters

Answers

31500 meters.

Step-by-step explanation:

3.5 km times 9 = 31.5 km

25.5 km = 31500 meters

Let me know if you have any issues or need help!

Answer:

31500 meters

Step-by-step explanation:

If he walks 3.5 km a day and he walks 9 days, then multiply those together.  That will give you 31.5 km. Converted to meters would give you 31500.

The teacher baked a batch of muffins there's are 16 muffin in a batch she ate 1/4 of the batch she baked two more batches how many muffins does she have now

Answers

Answer:

Step-by-step explanation:

she ate 1/4 of the batch = 16/4 = 4 muffins were left

she baked two more batches = 16* 2 = 32

4 + 32 = 36 muffins

or

no. of muffins in a batch: 16

no of muffins he ate = 1/4 of 16

                                 = 4

no. of muffins left: 16 - 4= 12

his mother then baked 2 more batches= 16+16

                                                                =32

no. of muffins left = 32+12 = 44

dont forget to mark this as the branliest answer if it helped you!

#HAVE FUN!! with muffins!!!

#GautamPro

Answer:

44

Step-by-step explanation:

16-4 equals 12 each batch equals 16. 16 times 2 equals 32 plus 12 equals 44

help!! offering lots of points and brainliest!

Answers

Answer:

It would be C

Step-by-step explanation:

So, shows in the graph, you can see that the change in rise is 100, because to get to 150 from 50, you add 100

And the run is 1, because to go from 0 to 1, you add 1

Meaning the slope is 100/1

Hope this helped!

5.
16 yd)
14 yd
6 yd

Answers

are you looking for the perimeter or area or what

A 20-oz bottle of soda costs $2.98.What is the cost per ounce?

Answers

Answer:

$0.15

Step-by-step explanation:

Answer:

0.149

Step-by-step explanation:

2.98 divided by 20 = 0.149

Answer - 0.149

-2+(-0.7)+(-3)+(-0.1)

Answers

Answer:

-5.8

Step-by-step explanation:

-2-.7-3-.1= -5.8

Answer: -5.8

Glad I could help!

You and two friends buy snacks for a field trip. Using the
information given in the table, determine the price per pound for mixed nuts,
granola, and dried fruit.

Answers

Answer:

13.15

Step-by-step explanation:

Increase £2123 by 8%
Give your answer rounded to 2 DP.

Answers

Answer:

2292.84

Step-by-step explanation:

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