What steps do I need to take to solve the last part of this equation and how do I solve them using the quadratic formula?

What Steps Do I Need To Take To Solve The Last Part Of This Equation And How Do I Solve Them Using The

Answers

Answer 1

Answer:

  simplify the radical

Step-by-step explanation:

You have shown the solution using the quadratic formula.

The final step is to simplify the radical expression. That is done by factoring out perfect squares and simplifying the fraction.

  [tex]x=\dfrac{\pm\sqrt{120}}{12}=\dfrac{\pm\sqrt{2^2\cdot30}}{12}=\dfrac{\pm2\sqrt{30}}{12}\\\\x=\dfrac{\pm\sqrt{30}}{6}=\left\{\dfrac{1}{6}\sqrt{30}\,,\ -\dfrac{1}{6}\sqrt{30}\right\}[/tex]

_____

Additional comment

0 is the additive identity element, so adding or subtracting zero changes nothing.

  [tex]0\pm\sqrt{120}=\pm\sqrt{120}[/tex]


Related Questions

Robert bought a rope that is 28 yards long. He to cut
the rope into 18 inch pieces. How many 18 inch pieces
of rope will he have?

Answers

Answer:

The answer is 56. There would be 56, 18 inch pieces of rope.

Step-by-step explanation:

Give Brainliest if you would like :)

____________________​

Answers

Answer:

The solution is 215/2

Step-by-step explanation:

2×21,5÷2/5

= 2×43/2×5/2

= 43/2×5

= 215/2

= 107 1/2

a group of five friends goes to the state fair. each friend pays the entrance fee and buys one booklet of ride tickets and a meal ticket. the entrance fee is d dollars. a booklet of ride tickets cost 2.5 times the entrance fee. a meal ticket costs $4 less than the entrance fee. the expression 5d + 5(2.5d) + 5(d-4) represents the amount the friends pay all together in dollars. which part of the expression represents the total amount the friends pay for meal tickets?

a. d-4
b. 5(2.5d)
c. 2.5d
d. 5(d-4)

Answers

Answer:

d. 5(d - 4)

Step-by-step explanation:

the entrance fee is d dollars

a booklet of ride tickets cost 2.5 times the entrance fee = 2.5d

a meal ticket costs $4 less than the entrance fee = d - 4

One meal ticket costs d - 4.

Five meal tickets cost 5(d - 4).

Answer: d. 5(d - 4)

2 regular octagons have sides of lengths 21 and 28, respectively. find the scale factor and ratio of the areas.

Answers

by definition two regular polygons of the same amount of sides will be similar.  Check the picture below.

Each grass square measures 1 foot by 1 foot. How much fence is needed to go around the garden?

Answers

Answer:

  42 feet

Step-by-step explanation:

The length of fence is equal to the perimeter of the shape. That can be found by adding the lengths of the edges.

__

Clockwise from the upper left corner, the sum of edge lengths is ...

  2 +6 + 3 + 6 + 2 + 7 + 1 + 1 + 5 + 1 + 1 + 7 . . . . feet

  = 8 + 9 + 9 + 2 + 6 + 8 . . . . added pairwise

  = 17 + 11 + 14

  = 28 + 14 = 42 . . . feet

42 feet of fence is needed to go around the garden

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

Answer:

24 :)

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Lets solve!!

7^2 + b^2 = 25^2

49 + b^2 = 625

Now we subtract!!

625 - 49 = b^2

576 = b^2

Now we neeed to find the square root!!

[tex]\sqrt{576}[/tex] = 24

Have an amazing day!!

Please rate and mark brainliest!!

last time, TO ALL AMAZING MATHMATICIANS PLS HELP ASAP, please do not put links in I won't click them and I know they're not the correct answer. Please these are urgent and I know its kind of tedious but i need help. Thank you so much to the kind smart person who ends up answering this.

Answers

Answer:

I just answered these with your most recent post.

3. can you subtract a binomial from another binomial and end up with a monomial? explain.

b) can you add monomial and end up with a binomial? explain

Answers

Answer:

Yes

Step-by-step explanation:

Let's pick 2 bionomials for this proof.

(3x+4) and (2x-4)

If we subtract (2x-4) from (3x+4) we will be left with x to the first power, which is a monimal.

So yes, you can subtract a binomial from another binomial and get a monomial.

Hope this helps!

factor each completely

n^2 - 11n + 10

Answers

[tex] {n}^{2} - 11n + 10 = [/tex]

[tex](n - 1)(n - 10)[/tex]

.................................................

Canada had 12,968,000 visitors while Mexico had 9,807,000 visitors. How many combined visitors did they have?
A. 22,775 visitors
B. 21,775,000 visitors
C. 22,765,000 visitors
D. 22,775,000 visitors

Answers

Answer: D

Step-by-step explanation: Add the two numbers

In a group of 42 students, 10 study both Art and Biology.
13 study Biology but not Art.
7 study neither subject.
Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?

Answers

given:

in a group of 42 students 10 students study both, 13 study only biology and 7 study neither of the subject.

to find:

the probability of the students who studies art and biology.

solution:

A= students study art

B= students study biology

N=42

n (ANB)= 10

n (A'NB)= 13

n (A'NB')= 7

the number of students who study only art:

n (ANB')= N- n(ANB) - n(A'NB) - n(A'NB')

= 42.10 - 13 - 7

= 12

the number of students who study only art:

= 16

p (ANB)= n (ANB)/N

= 10/40

= 0.238

probability the student who studies art and biology is 0.238.

PLEASE HELP
You will take a test containing two types of questions, multiple choice and free response. MC questions are worth 4 points each and free response are worth 7 points each. You must answer at least 4 of the MC and no more than 10 you must answer at least 3 FR questions, but no more than 10. Total, you may only answer 18 questions. How many type of each question must you answer to maximize your score.

Answers

Answer:

I think the answer is 16 to maximize the score

Scrooge Mc duck has $16 in savings at the beginning of a month she then decides to save a dollars every week write an inequality in its simplest terms that represents the solution describing how many weeks it takes Scrooge to accumulate at least $120

Answers

Answer:

120 <= 16+(w*d)

108<=d*w

Step-by-step explanation:

let w = weeks and d = dollars saved per week

Aline passes through the points (3,18) and (8,23). Write a linear function rule in terms of x and y for
this line.
The linear function rule is y=

Answers

Answer:

y= x+15

Step-by-step explanation:

I am pretty sure this answer is right

M= slope

B= the Y-intercept

I used a graphing calculator to figure this out

The slope is 1/1 with equals 1

and the y intercept is at (0,15) whitch we just use 15

plug them in and you get

y= x+ 15

(Don't need the 1 is frount of x)

How many angles are formed by intersecting roads? Number the angles

Answers

Answer:

there are about 8 angles ,God bless you

Answer:

I count 4 angles

Step-by-step explanation:

See the attached image.

Which exponential model best represents the data? O f(x) = 3(1.2) O f(x) = 2(0.3)* O f(x) = 2(3)* O f(x) = 3(0.2)*​

Answers

The exponential model has an initial value of 3

The exponential model of the data is f(x) = 3 * (1.2)^x

How to determine  the exponential model?

From the complete question,we have the following parameters:

Initial value, a = 3Growth rate, r = 0.2

The exponential model is then calculated as:

f(x) = a * (1 + r)^x

Substitute known values

f(x) = 3 * (1 + 0.2)^x

Evaluate the sum

f(x) = 3 * (1.2)^x

Hence, the exponential model of the data is f(x) = 3 * (1.2)^x

Read more about exponential models at:

https://brainly.com/question/7296382

Answer:

f(x)=3(0.2)^x

Step-by-step explanation:

When x=0

f(0)=3

When x =1

f(1)=0.6

3 x 1.2 =3.6,  3 x 0.2=0.6

So then I just chose f(x)=3(0.2)^x and I got it correct on the quiz :)

What is the volume of the right prism

A. 1275
B. 600
C. 1020
D. 680

Answers

Answer:

B

Step-by-step explanation:

The face of the prism is the right triangle closest to us.

The area of the right triangle is 15 * 8 = 120 / 2 = 60 The general formula for a triangle's area is 1/2 * B * h.

B = 8

h = 15

The volume in general is B*h.

The height in this case is 10 (the height in this case is perpendicular to the surface containing the right triangle).

Volume = B * h

Volume =60 * 10

Volume = 600

help me solve please show steps

Answers

There can be several possibilities and causes

y>2x-1

Then line will be dashed and solution region to be shaded.

y<2x-1

Same like before

y≤2x-1

Solid line should be done and shading the solution region

y≥2x-1

Same like before

y=2x-1

A straight line and no shading

Credit: Mister Brainly

There can be several possibilities and causes:

y>2x-1

Then line will be dashed and solution region to be shaded.

y<2x-1

Same like before

y≤2x-1

Solid line should be done and shading the solution region

y≥2x-1

Same like before

y=2x-1

A straight line and no shading

Write the number names 438543=
ii)80,100,001​

Answers

Answer:

Four lakhs thirty eight thousand five hundred fourty three.

ii)Eight crore ten lakhs one

Follow me friend

Answer:

i)four hundred thirty eight thousand five hundred forty three

ii) eighty million one hundred thousand one

father will fence a circular garden whose radius is 3.5m.How many meters of fencing material will he use

Answers

Radius=r=3.5m

Circumference:-

2πr2π(3.5)7π7(3.14)21.98m

He need 21.98m fencing material

Answer:

22 m

Step-by-step explanation:

Fencing refers to the border of the garden ⇒ circumferenceCircumference = 2πr and r = 3.5 m

Solving

C = 2 x 22/7 x 3.5C = 2 x 1/2 x 22C = 22 m

Jessa has $23 that she wants to divide equally among her 5 children. How much money will each receive?​

Answers

Answer:

23 /5=4.6

4 3/5

4 6/10

65%of 320+?=686
Options are:
a) 480
b) 452
c) 461
d) 475
e) none of these​

Answers

Answer:

e) none of these​

Explanation:

65% * 320 + ? = 686

208 + ? = 686

? = 686 - 208

? = 478

Answer:

e) None of these.

Step-by-step explanation:

Let the unknown number be x, then:

0.65*320 + x = 686

208 + x = 686

x = 686 - 208

= 478

Dose anybody know how to solve this problem

Answers

check the transformation template below, hmmm so to get the graph of "y" move to the right by 1 unit, we can simply make C = -1.

[tex]y=\stackrel{A}{1}\log_2(\stackrel{B}{1}x+\stackrel{C}{0})+\stackrel{D}{0}\qquad \qquad y=\stackrel{A}{1}\log_2(\stackrel{B}{1}x+\stackrel{C}{1})+\stackrel{D}{0} \implies y=\log_2(x-1)[/tex]

now, the x-intercept is simply where the graph touches the x-axis, and when that happens y = 0, so

[tex]\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad a^{log_a x}=x\leftarrow \textit{let's use this rule} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{y}{0}~~ = ~~\log_2(x-1)\implies 2^0=2^{\log_2(x-1)}\implies 2^0=x-1 \\\\\\ 1=x-1\implies 2=x~\hspace{10em}\stackrel{x-intercept}{(2~~,~~0)}[/tex]

f g(x) = 2x + 2, find g(a + h) - g(a).

Answers

Answer: 2h

Step-by-step explanation:

Can someone help me with this??

Answers

Answer:

36

Step-by-step explanation:

10+8+6+6+6

Area of the top rectange is 10 (2x5)

Area of the bottom rectange is 8 (2x4)

Area of the right rectangle is 6 (2x3)

Area of both the triangles are 6 (4x3 divided by 2)

A windowpane is 12 inches by 5 inches. What is the distance between opposite corners
of the windowpane? ( it’s the pythagorean theorem )

Answers

12^2+5^2=144+25=169
x=13

I need Help Please, I will give brainliest!

Answers

Answer: You do I-ready welp I can help you

Step-by-step explanation:

I think it is 1 whole

Ada got a new puppy for Christmas. She went to the pet store to buy the
things she needed for her puppy. She bought a collar for $18.37, an
identification tag for $15.67, a chew toy for $8.23, puppy shampoo for
$19.26, and a food and water dish for $21.28. The pet store gave her an
$7.50 discount for spending more than $50.00. How much did Ada spend
altogether?

Answers

Answer:

Hope it helps you.

Use the relationship between the angles in the figure to answer the question.

Which equation can be used to find the value of x?

Answers

Given↷Two angles ,'52°' & ,'x'To find↷The value of 'x'Answer↷52°Solution↷

We know that,

two angles which are formed by the intersection of two lines ,are equal and are called vertically opposite angles.

ATQ,

angle x lies on a line same as the other given angle which is intersected by an another line ,

hence,

x = 52°

Steven and his family ordered a meal that cost $136.50. Steven paid 14% sales tax and left a 20% tip on $136.50. What was the total cost?

Answers

Answer:

$182.91

Step-by-step explanation:

136.50 times 0.14 (14%) is 19.11

136.50 times 0.2 (20%) is 27.30

13650+19.11+27.30=182.91

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