please help :)

Use completing the square to determine which of the following gives the solutions to 3x2 − 24x + 40 = 28.

A. 2 ± 43–√
B. 4 ± 23–√
C. 3 ± 32–√
D. 6 ± 25–√

Answers

Answer 1

Answer:

B. I think it should be 4±[tex]2\sqrt{3}[/tex]. Correct me if I am wrong.

Step-by-step explanation:

Hope this helps!

Please Help :)Use Completing The Square To Determine Which Of The Following Gives The Solutions To 3x2
Please Help :)Use Completing The Square To Determine Which Of The Following Gives The Solutions To 3x2
Answer 2

The solutions of the given quadratic equation are x=+√12+4 or x=-√12+4.

What is completing square method?

Steps

Step 1: Divide all terms by a (the coefficient of x2).

Step 2: Move the number term (c/a) to the right side of the equation.

Step 3: Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

The given quadratic equation is 3x²-24x+40=28.

3x²-24x+40-28=0

3x²-24x+12=0

x²-8x+4=0

x²-8x=-4

Now, -8/2 =4 and square of 4 is 16.

Add and 16 on both sides of an equation, we get

x²-8x+16=-4+16

(x-4)²=12

x-4=±√12

x=±√12+4

x=+√12+4 or x=-√12+4

Therefore, the solutions of the given quadratic equation are x=+√12+4 or x=-√12+4.

Learn more about the completing square method here:

https://brainly.in/question/1112385.

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Related Questions

To fill a pool, Barb uses two hoses. The first hose is rated to fill the pool in 10 hours. The second hose is rated to fill it in 5 hours. If Barb adds a third hose that uses the slower rate, how long will it take to fill the pool ?

Answers

Answer: hose Is raled to fill Ihe pool in 10 hours erhe To fill a pool, Barb uses two hosesThe first third hose that uses {ha slower to fill it in 5 hours. If Barb adds second hose is rated "long will it take to fill the pool?

Give Brainliest! Thanks.

It will take 10/3 hours to fill the pool when both the hoses will work together.

The first hose is rated to fill the pool in 10 hours.

This means, In one hour hose will fill 1/10th part of the pool.

The second hose is rated to fill the pool in 5 hours

This means, In one hour hose will fill 1/5th part of the pool.

What will be the total part of the pool to be filled?

The total part of the pool to be filled will be 1.

Let us suppose both the hoses working together takes t hours to fill the pool

So, the first hose will fill the t/10th part of the pool.

The second hose will fill the t/5th part of the pool.

So, [tex]\frac{t}{10} +\frac{t}{5} =1[/tex]

15t =50

t=10/3

Therefore, It will take 10/3 hours to fill the pool when both the hoses will work together.

To get more about such problems visit:

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PLEASE I WILL GIVE BRANILIST pleaseeeeeee

Answers

Answer:

12 is 48% of 25

Step-by-step explanation:

One way we can find a percentage of two numbers is to divide, and then multiply our quotient by 100. In this case, the question is: What percent of 25 is 12? We will divide 12 by 25, which gives us 0.48. 0.48 x 100 is 48, which gives us our answer: 12 is 48% of 25.

A school needs to buy new notebook and desktop computers for its computer lab. The
notebook computers cost $275 each, and the desktop computers cost $350 each. How
much would it cost to buy 20 notebooks and 15 desktop computers? How much
would it cost to buy n notebooks and d desktop computers?

Answers

Answer:

$10750

275n+350d

hope this helps!!

Answer:

notebook computer= $5500

desktop computer= $5250

notebook and desktop computer= $10750

Step-by-step explanation:

First of all, we multiply $275 by 20 which would give you 5500. Next, we multiply 350 by 15 which gives you 5250. now to add the total number of notebook and desktop computers, we add them both, which results to 10750.

Round to the nearest whole number
3.6

Answers

3.2 and 3.6 become 4 , but -3.2 and -3.6 become -4 . down - rounds towards zero.

so 4 thanks for the points and you are welcome for the answer.

The radius of a circle is 12 in.

Find its circumference in terms of Pie

Answers

Answer:

24[tex]\pi \\[/tex]

Step-by-step explanation:

circumference=2rpi

which makes it dpi

12*2=24

so the  circumference is 24pi

Answer:

C = 24π inches

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = 2πr ( r is the radius ) , then

C = 2π × 12 = 24π inches

Answer ASAP

One number is 14 more than another number. If the two numbers have a sum of 40, what
are the numbers?

Answers

Answer:

13 and 27

Step-by-step explanation:

y= x+14

x+y=40

x+ x+14=40

2x+14=40

40-14=26

so, 2x=26

26/2

=13

so, x=13 and

and y equal 40-13

y=27

Please can people help me ( I will be giving brainlyist if 2 people answer)

Answers

Answer:

c. 18 feet

Step-by-step explanation:

The area is 180ft². The height is 10ft.

Now, we need to divide 180ft² by 10ft.

180/10 = 18

ft²/ft = ft

The length of the wall is 18ft.

Answer:

The measure of the wall given is square ft., meaning you can divide it by either length or height to get the corresponding side.

We are given a height of 10 ft.

So 180 / 10 = 18ft

L = 18ft

Have a lovely day!

can anyone please help me find the length of X?

Answers

Solution:

Note that:

2(Perimeter of smaller triangle) = Perimeter of larger triangle

Using the perimeter of the smaller triangle, solve for x.

2(Perimeter of smaller triangle) = Perimeter of larger triangle=> 2(3.5 + x + h) = 7 + 4 + 2h=> 7 + 2x + 2h = 7 + 4 + 2h=> 2x = 4=> x = 2

The length of x is 2 units.

Each student in the class has 100 beads to use on a craft project. Angela used 78% of her beads, Vincent used 3/4 of his beads, Mitchell used 0.8 of his beads, and Caroline used 18/25 of her beads. Who has the least number of beads left?

Answers

Answer:

Caroline

Step-by-step explanation:

Angela = 100 × 0.78 = 78

Vincent = 100 × 3/4 = 75

Mitchell = 100 × 0.8 = 80

Caroline = 100 × 18/25 = 72

Who has the LEAST

Answer:

Caroline has the least number of beads. Caroline has 72 beads

Find the M angle BDC

Answers

Answer:

60°

Step-by-step explanation:

angle b = 180 - 120

= 60°

angle d = 180 - 60 - 60

= 60°

2 out of every 5 dogs at the dog park are girl dogs.  If there are 25 dogs at the dog park how many are girls.​

Answers

Answer:

10 dogs

Step-by-step explanation:

we make 5 times 5 to get 25

then we make also 2 times 5 to know the number of girl dogs

then the answer will be 10

The length of the base of a parallelogram is 14 meters. The parallelogram has an area of 308 square meters.

What is the height of the parallelogram?

Answers

Answer:

22 m

Step-by-step explanation:

A = bh

308 m² = 14 m × h

h = (308 m²)/(14 m)

h = 22 m

Answer: 22 m

How do I solve this with explanation?

Answers

Answer:

x=148

Step-by-step explanation:

x it is verticle from and across from 148 which is congruent to x and x=148

For a standard normal distribution, find the approximate value of P (z greater-than-or-equal-to negative 1. 25). Use the portion of the standard normal table below to help answer the question. Z Probability 0. 00 0. 5000 0. 25 0. 5987 1. 00 0. 8413 1. 25 0. 8944 1. 50 0. 9332 1. 75 0. 9599 11% 39% 61% 89%.

Answers

Answer:

89%

Step-by-step explanation:

You and your friend go out to dinner the cost of the meal is $45. 22 they want to leave a 20% tip how much should they leave for tip

Answers

Answer:

What is 5% of 45.22?

That would be about 2.3

Now times that by 4 then there is your answer :)

use the long division method 1325÷56​

Answers

Answer:

40

Step-by-step explanation:

If you are 80% done with a project, and it took you 7 hours, how much longer until you are 100% done?

Assume you are working at the same rate. Show your work.

Answers

Step-by-step explanation:

80% = 7

divide by 80

1% = 0.0875

times by 100

100% = 8.75

8.75 - 7 = 1.75/1 hr 45 minutes more minutes till 100%

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

A. Find the complement of the angle shown.
B. Find the supplement of the angle shown.
Show all your work.

Answers

Answer:

Complement is 38
Supplement is 128

Step-by-step explanation:


Ok, so you know a complementary angle is 90 degrees and a supplementary angle is 180. To find the complement of the angle is another way of saying “make it add up to 90” You would show your work by writing “x + 52 = 90” to find the complement and “x + 52 = 180” I am assuming you know how to solve from here and that’s how I got the answer. Let me know if you don’t understand

If y = 6x − 3, which of the following sets represents possible inputs and outputs of the function represented as ordered pairs?

{(0, 3), (1, −9), (2, −15)}
{(0, −3), (2, 15), (4, 21)}
{(0, −3), (2, 9), (4, 21)}
{(0, 3), (−2, 15), (4, 21)}

Answers

{(0, -3), (2, 9), (4, 21)} is the answer. Just a little help tho search up Desmos next time its a graphing calculator :P

Hope this helps please give brainleist and rating

If I wash 24 dogs and used 4 bottles of shampoo, How many dogs can I wash with only 1 bottle of shampoo?

Answers

Answer:

6

Step-by-step explanation:

I hoped it helped!!!

You can just divide both 24 by 4 and 4 by 4 to make it 1.


Select all the expressions that are equivalent.

4 – 2k
4k + 2
-2k + 4

2k - 4

Answers

Answer:

A and C:

[tex]4 - 2k \: = - 2k + 4[/tex]

define what the word biased means in a sample

Answers

Step-by-step explanation:

I am biased against people, who put an English question into Mathematics.

it is a fundamental, basic, personality defining mindset or believe that drives preferences.

help me please., please I need help

Answers

Answer: ok well instead of me answering do your best then ill tell you

Step-by-step explanation:

8. If a=3u-v, b=-u +2v and c=3u +4v. where u and v are two non-parallel vectors (1) express c in terms of a and b; (ii) determine the magnitude of the vector d = 3a + 2b +c given that u and v are unit vectors inclined a 60°​

Answers

(i) If we can write c as a linear combination of a and b, then there exist scalars k₁ and k₂ such that

[tex]c = k_1a + k_2b[/tex]

Solve for k₁ and k₂ :

[tex]3u + 4v = k_1 (3u - v) + k_2 (-u + 2v)[/tex]

[tex]3u + 4v = (3k_1 - k_2) u + (-k_1 + 2k_2) v[/tex]

Then we must have

[tex]\begin{cases}3k_1 - k_2 = 3 \\ -k_1 + 2k_2 = 4\end{cases} \implies k_1 = 2, k_2 = 3[/tex]

and so

[tex]\boxed{c = 2a + 3b}[/tex]

(ii) Given that u and v form an angle of 60° between them, we have by the dot product identity

[tex]u \cdot v = \|u\| \|v\| \cos(60^\circ)[/tex]

where ||u|| denotes the magnitude of the vector u. Both u and v are unit vectors, so ||u|| = ||v|| = 1, and

[tex]u \cdot v = \dfrac12[/tex]

A special case of the identity with u = v tells us that for any vector u,

[tex]u \cdot u = \|u\|^2 \cos(0^\circ) = \|u\|^2[/tex]

which means

[tex]u \cdot u = v \cdot v = 1[/tex]

This in turn means we have

[tex]a \cdot a = (3u - v) \cdot (3u - v) = 9 (u \cdot u) + (v \cdot v) - 6 (u \cdot v) = 7[/tex]

[tex]a \cdot b = (3u - v) \cdot (-u + 2v) = -3 (u\cdot u) - 2 (v \cdot v) + 7 (u \cdot v) = -\dfrac32[/tex]

[tex]a \cdot c = (3u - v) \cdot (3u + 4v) = 9 (u\cdot u) - 4 (v\cdot v) + 9 (u \cdot v) = \dfrac{19}2[/tex]

[tex]b\cdot b = (-u + 2v) \cdot (-u + 2v) = (u \cdot u) + 4 (v\cdot v) - 4 (u \cdot v) = 3[/tex]

[tex]b\cdot c = (-u + 2v) \cdot (3u + 4v) = -3 (u\cdot u) + 8 (v\cdot v) + 2 (u\cdot v) = 6[/tex]

[tex]c \cdot c = (3u + 4v) \cdot (3u + 4v) = 9 (u\cdot u) + 16 (v\cdot v) + 24 (u\cdot v) = 37[/tex]

and hence

[tex]d \cdot d = (3a + 2b + c) \cdot (3a + 2b + c)[/tex]

[tex]d \cdot d = 9 (a\cdot a) + 4 (b\cdot b) + (c \cdot c) + 12 (a\cdot b) + 6 (a\cdot c) + 4 (b\cdot c)[/tex]

[tex]d\cdot d = 175[/tex]

and so ||d|| = √175 = 5√7.

What is the exact value of the side length of a square with an area of 30 square units?

Answers

Answer:

5.48

Step-by-step explanation:

Using the formula

A=a2

Solving for a

a=A=30≈5.47723

The exact circumference of a circle is 30tt. What is the diameter?

Answers

Step-by-step explanation:

the circumference of a circle is

C = 2 × pi × r

r = radius = diameter / 2

diameter = 2r

in our case

30×pi = 2×pi×r

30 = 2r = diameter

so, the first answer option is correct.

If the building is a regular pentagon with each side measuring 23 √149, what’s the perimeter?

Answers

Answer:

Step-by-step explanation:

Regular pentagon has 5 equal sides

Perimeter = 5* (23√149)

                 = 115√149

                 

                 

At what point does y = 2x + 3 intercept: a) The y-axis: b) The x-axis:​

Answers

Answer:

a)(0, 3)

b)(-3/2, 0)

Step-by-step explanation:

a) y-axis : x=0

so instead of x you write 0 : y = 2 * 0 + 3

and you get y = 3

b) x-axis : y=0

so instead of y you write 0 : 0 = 2 * x + 3

2 * x = -3

x = -3/2

Find the value of x

Answers

Answer:

27 degrees      

Step-by-step explanation:

12: 180 = 3x - 17 + x + 40 + 2x - 5

180 = 6x + 18

180 - 18 = 6x

162 = 6x

x = 27 degrees

Answer:

Remember the Triangle Angle Sum theory which states that all angles of a triangle add up to 180˚. With this, make the following equation:

(3x-17) + (x + 40) + (2x - 5) = 180

Get rid of parenthesis

3x - 17 + x + 40 + 2x - 5 = 180

Group like terms:

3x + 2x + x + 40 - 17 - 5 = 180

Simplify

6x + 18 = 180

Subtract 18 from both sides.

6x + 18 - 18= 180 -18

6x= 162

Divide both sides by 6

6x/6= 162/6

x= 27

PLEASE ANSWER THIS ASAP
Insert a monomial so that the derived equality will be an identity.

Answers

Answer:

Step-by-step explanation:

(a +b)² = a² + b² + 2ab

a = 3a and b = 2.5b

2ab = 2*3a*2.5b = 15ab

15ab is the monomial that needs to be inserted

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