super urgent can someone help me with this i spent a lot of points and i received a fake answer

Super Urgent Can Someone Help Me With This I Spent A Lot Of Points And I Received A Fake Answer

Answers

Answer 1

Answer:

(a)  3, 2, -3, -7, -12, -18, -25, -33 etc.

(b)  -44, -12, -4, 4, 12, 44

Step-by-step explanation:

Integer: whole numbers (including negatives)

To factor a quadratic in the form [tex]ax^2+bx+c[/tex]

Find 2 two numbers (d and e) that multiply to [tex]ac[/tex] and sum to [tex]b[/tex] Rewrite [tex]b[/tex] as the sum of these 2 numbers: [tex]d+e=b[/tex]Factorize the first two terms and the last two terms separately, then factor out the comment term.

Question (a)

Given quadratic:  [tex]kx^2+5x+2[/tex]

[tex]\implies a=k, b=5\: \textsf{and}\:c=2[/tex]

You don't have to do this, but it is helpful to first find the range of k.  To do this, use the discriminant [tex]b^2-4ac[/tex].

If the quadratic has 2 real roots then [tex]b^2-4ac > 0[/tex]

If the quadratic has 1 real root then [tex]b^2-4ac = 0[/tex]

Therefore, set the discriminant to ≥ 0

[tex]\implies 5^2-4(k)(2)\geq 0[/tex]

[tex]\implies 25-8k\geq 0[/tex]

[tex]\implies -8k\geq -25[/tex]

[tex]\implies 8k\leq 25[/tex]

[tex]\implies k\leq 3.125[/tex]

As k is an integer, [tex]k\leq 3[/tex]

Given quadratic:  [tex]kx^2+5x+2[/tex]

[tex]\implies ac=k \cdot 2=2k[/tex]

[tex]\implies d+e=5[/tex]

So we need to find pairs of numbers that sum to 5 and multiply to a (negative or positive) even number, since [tex]ac=2k[/tex]

2 + 3 = 5  and  2 · 3 = 6   ⇒  2k = 6 ⇒ k = 3

1 + 4 = 5  and  1 · 4 = 4  ⇒  2k = 4 ⇒ k = 2

-1 + 6 = 5  and  -1 · 6 = -6   ⇒  2k = -6 ⇒ k = -3

-2 + 7 = 5  and  -2 · 7 = -14   ⇒  2k = -14 ⇒ k = -7

-3 + 8 = 5  and  -3 · 8 = -24  ⇒  2k = -24 ⇒ k = -12

-4 + 9 = 5  and  -4 · 9 = -36  ⇒  2k = -36 ⇒ k = -18

-5 + 10 = 5  and  -5 · 10 = -50  ⇒  2k = -50 ⇒ k = -25

-6 + 11 = 5  and  -6 · 11 = -66  ⇒  2k = -66 ⇒ k = -33

etc.

Therefore, possible values of k are:

3, 2, -3, -7, -12, -18, -25, -33 etc.

-------------------------------------------------------------------------------------------

Question (b)

Given quadratic:  [tex]9x^2+kx-5[/tex]

[tex]\implies a=9, b=k\: \textsf{and}\:c=-5[/tex]

[tex]\implies ac=9 \cdot -5=-45[/tex]

Find factors of -45:

1 and -45-1 and 453 and -15-3 and 155 and -9-5 and 9

As [tex]a+c=k[/tex]:

1 + -45 = -44-1 + 45 = 443 + -15 = -12-3 + 15 = 125 + -9 = -4-5 + 9 = 4

Therefore, all possible values of k are  -44, -12, -4, 4, 12, 44


Related Questions

Help help help help math math

Answers

Answer:

[tex]x = \geqslant 34[/tex]

Step-by-step explanation:

x is greater than or equal to 34, because the illustration shows, that it can go beyond 34. The filled in dot also means that x can also be equal to 34. (i hope i explained it in a good way)

Hector was thinking of a two-digit counting number, and he asked Simon to guess the number. Describe how you can find the probability that Simon will guess correctly on the first try.​

Answers

Answer:

1/89

Step-by-step explanation:

Two digit numbers include all numbers from 10 to 99. 99-10 = 89. Therefore the probability that Simon guesses the number correctly on the first try is 1 out of 89 which can be written as 1/89.

write an expression for the cost of t books at 13 cents each​

Answers

Answer:

13n+20 is the correct answer to ypur question

Step-by-step explanation:

Find the length of the second base of a trapezoid with one base measuring 15 feet, a height of 7.6 feet, and an area of 98.8 square feet

answer choices
9 ft

10 ft

11 ft

12 ft

Answers

Answer:

11 feet

Explanation:

area of trapezoid: 1/2 * (a + b) * h

Here given:

a = 15 feetheight = 7.6 feetarea = 98.8 feet²

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

Solving steps:

⇒ 1/2 * (15 + b) * 7.6 = 98.8

⇒ (15 + b) * 7.6 = 197.6

⇒ (15 + b) = 26

⇒ b = 11 ft

Area =1/2(Sum of parallel sides)(Height)

Let unknown be x

1/2(x+15.5)(7.6)=98.83.8(x+15.5}=98.8x+15.5=26x=26 .03-15.5x=10.53x≈11ft

The temperature in Denver, Colorado this
morning was -7°. In the afternoon, the
temperature rose to 16º.
What does this mean?
A. The temperature is 16° below zero
B. The temperature is 16° above zero
PLEASE HELP!!

Answers

The answer is b
Hope this helps

the three sides of a triangle are 11/3 cm , 15/4 cm and 26/9 cm . find it's perimeter .​

Answers

☘︎Answer :-

[tex] \sf\longmapsto \: \frac{371}{36} [/tex]

☘︎ Solution :-

Given : Three sides are 11/3 cm , 15/4 cm and 26/9 cm To find : perimeter of the triangle

Perimeter of a triangle = Sum of the length of the three sides

perimeter of the given triangle = 11/3 + 15/4 + 26/9

Make the denominator same by taking the LCM of the denominators .

( LCM of 3 , 4 and 9 is 36 )

[tex]\sf\longmapsto \: \frac{132 \: + \: 135 \: + \: 104}{36} \: \: \: [/tex]

[tex]\sf\longmapsto \: \frac{371}{36} \: cm \: [/tex]

Therefore, the perimeter of a triangle is 371/36 cm

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.
11
220
X

Answers

Answer: X is 11,

Step-by-step explanation:

Hope it helps you

i need some help here... pls help 8th grade

Answers

d: 90, because it is equal to the angle next to it. They are both right angles, and add up to 180 degrees: a straight line.

e: 81, as it is the corresponding opposite.

f: 99, as there are two 81-degree angles. These two angles add up to 162. A full circle is 360 degrees, so if you subtract 162 from 360, you will get 198. 198 divided by 2 (since there are 2 even corresponding angles) is 99 degrees.

Pls help me
Pls show your answer pls and thank you

Answers

Answer:

Step 1

According to given details

Number of delivered pizzas at the weekly meeting=5

Number of slices in one pizza =8

(a)

Now evaluate total number of slices

Number of slices in one pizza =8

Total slices =8x5

=40 slice

(b)

Yes, we can find more than one way

= 5 ÷ 1/8

= 5x8/1

=40/1

Answer correctly for brainliest I dont want to rush you but i need this in like 1-2 minutes

Answers

Answer:

the correct answers are A, C, and D

Step-by-step explanation:

Those are the only ones that make sense enough!

What is the average height of 6th grade students?

And

What was the low temperature...?

Those responses will be given as numerical values

E.G. 162cm or 2 degrees Celsius (2*C)

(Edit: the first & third options are the correct ones)

Hope this helps!

Please help me! Thank you

Answers

Answer: 4

Step-by-step explanation: how i know by guessing

Identify the range of the function shown in the graph.

Answers

Answer:

B.

Step-by-step explanation:

the range is the y values of the line.

so it would be [3, 6]

B form.
Given the system of equations below, write the system in AX
- 112 - 13y = - 62
72 - 3y = 25
[3]
Il

Answers

Answer:

  [tex]X=\left[\begin{array}{cc}-5&2\\0&8\\8&1\end{array}\right][/tex]

Step-by-step explanation:

Solving the given matrix equation, we find ...

  X = (1/4)(C - B)

These operations, subtraction and multiplication by a scalar, are done on a term-by-term basis. A calculator or spreadsheet can do these for you.

For example, the middle right term (row 2, col 2) is ...

  (38 -6)/4 = 32/4 = 8

Answer:

[tex]X =\begin {bmatrix} -5 & 2\\0 &8\\8 & 1\end{bmatrix}[/tex]

Step-by-step explanation:

[tex] Given \:\: B=\begin {bmatrix} 8 & -2\\-1 & 6\\-8 & -10\end{bmatrix} \: and\: C=\begin {bmatrix} -12 & 6\\-1 & 38\\24 & -6\end{bmatrix}[/tex]

To Solve: 4X + B = C

[tex]\implies 4X + \begin {bmatrix} 8 & -2\\-1 & 6\\-8 & -10\end{bmatrix}=\begin {bmatrix} -12 & 6\\-1 & 38\\24 & -6\end{bmatrix}[/tex]

[tex]\implies 4X =\begin {bmatrix} -12 & 6\\-1 & 38\\24 & -6\end{bmatrix}- \begin {bmatrix} 8 & -2\\-1 & 6\\-8 & -10\end{bmatrix}[/tex]

[tex]\implies 4X =\begin {bmatrix} -12-8 & 6-(-2)\\-1 -(-1)& 38-6\\24-(-8) & -6-(-10)\end{bmatrix}[/tex]

[tex]\implies 4X =\begin {bmatrix} -12-8 & 6+2\\-1 +1 & 38-6\\24+8 & -6+10\end{bmatrix}[/tex]

[tex]\implies 4X =\begin {bmatrix} -20 & 8\\0& 32\\32 & 4\end{bmatrix}[/tex]

[tex]\implies X =\frac{1}{4}\begin {bmatrix} -20 & 8\\0& 32\\32 & 4\end{bmatrix}[/tex]

[tex]\implies X =\begin {bmatrix} \frac{-20}{4} & \frac{8}{4}\\\\\frac{0}{4}& \frac{32}{4}\\\\ \frac{32}{4} & \frac{4}{4}\end{bmatrix}[/tex]

[tex]\implies X =\begin {bmatrix} -5 & 2\\0 &8\\8 & 1\end{bmatrix}[/tex]

3. The number 84 can be expressed as the
sum of 54 + 30. Which shows how to use
the distributive property to rewrite that
sum as a multiple of a sum whose addends
have no common factors greater than 1?
A. 2(27 + 15)
B. 3(18 + 10)
C. 5(11 + 0)
D. 6(9 + 5)

Answers

Answer:

D. 6(9 + 5)

Step-by-step explanation:

NEED HELP STAT if you dont know the answer for sure then dont say it, 100 POINTS
Which statements include two quantities in the real world that are additive inverses?

Select each correct answer.


A rock climber ascends 19 feet and then descends 9 feet.

A child runs 10 feet to the right and then runs 10 feet to the left.

A person removes 14 cans from a shelf and puts 15 cans back on the shelf.

A person deposits $430 in to a bank account and then withdraws $430 from the account.

Answers

B

&

D

Step-by-step explanation:

Answer:

The Answers are A and D

Step-by-step explanation:

I took the test and got em right!

A globe on Fred’s desk
is shaped like a sphere
with a volume of 14,130
cubic inches. Find the
radius of the globe

Answers

Answer: 18,840*pi

Step-by-step explanation:

The volume of a globe would be 4/3*pi*radius^3 so that would be 4/3*14,130= 18840*pi or approximately 59,187.6055

During its grand opening sale, a local electronics store gave customers a chance to win a new flat screen TV. Customers only had to fill out a card with their name, address, and telephone number and drop it into a box. One winner would be chosen at random. This is an example of a

Answers

Using sampling concepts, it is found that this is an example of a random sample.

How are samples classified?

Samples may be classified as:

Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.

In this problem, one winner is chosen at random from all the participants, hence random sampling is used.

More can be learned about sampling concepts at https://brainly.com/question/25122507

Problem Situation: Gabi buys tickets to the movies.
She buys 1 adult ticket for $14 and 3 youth tickets.
She pays a total of $35.
What is the cost of each youth ticket?
Complete the equation to represent this situation.
The letter t represents the cost of a youth ticket.

Answers

Let that be y

14+3y=35

Now solve

3y=35-143y=21y=21/3y=7

Each youth ticket costs 7$

Answer So you can add a number with the letter t and then add and then you can 35 dollers

All change 5. Three friends collected aluminum cans from the neighborhood to recycle. In total they collected 300 cans. Manny collected 90, Jim collected 100, and Bib collected 110. What percentage did each collect?

A. Manny 30% Jim 25% Bob 45%

B. Manny 30% Jim 33.3% Bob 36.7%

C. Manny 20% Jim 33.3% Bob 46.7%

D. Manny 18% Jim 42% Bob 50%

Please help I'll mark brainliest​

Answers

Answer:

i think it b i dont know for sure

Step-by-step explanation:

please i reallly need help right now 25 points

Answers

Answer:

D) all real numbers except x = 6

Step-by-step explanation:

If there is a solid line or dot at an x value, then it is included in the domain. Since there are open dots at x = 6, that means it is not included in the domain. With that being said, the domain can be written as:

(-∞, 6)∪(6, ∞)

Hope this helps!

round to nearest tenth. Please solve
0.48 divide 9.23
8 divide 6.43
0.4 divide 28.08
3.5 divide 2.29
.072 divide 345
2.1 divide 1.488

thank you

Answers

Answer:

.1, 1.2, 0, 1.5, 0, 1.4 // 19.2, .8, 70.2, .7, 4791.7, .7

Step-by-step explanation:

The first set is if you meant the first number divided BY the second and the second set of numbers is if you meant it vice versa. If it was worded better I could understand better.

whats the value of 6.4•(8 + 15)​

Answers

Answer: 147.2

Step-by-step explanation:

(8+15) = 23

23 x 6.4= 147.2

Answer: 147.2

Step-by-step explanation: 8+15= 23 so 23*6.4 is 147.2

pleaseeee helpp!!!! Nowwww

Answers

Answer:

ITS B because sqrt 11 is 3.something

Step-by-step explanation:

HELP PLS 50 PTS! To the nearest 50 square feet, what is the area of the actual store?

Question 1 options:

2,350 square feet


2,450 square feet


2,500 square feet


2,400 square feet

Answers

○ 2,350 square feet

○ 2,450 square feet

○ 2,500 square feet

● 2,400 square feet answer

Step-by-step explanation:

wellcome

rip

This equation shows the relationship between the amount of water (w), in liters, filled in Tank A and the number of minutes (m) it took to fill it.


w = 100 + 80.5m


This table shows the relationship between the amount of water, in liters, filled in Tank B and the number of minutes it took to fill the tank


Amount of water filled in Tank B:

Minutes: Amount of water: (liters)

0 154

2 384

6 844


What is the difference, in liters, between the total amount of water filled in Tank A and Tank B after 4 minutes?

Answers

Answer:

192 liters

Step-by-step explanation:

Tank A

w = 100 + 80.5m

where:

w = water in litersm = time in minutes

Therefore, when m = 4:

⇒ w = 100 + 80.5(4) = 422 liters

Tank B

Given ordered pairs:  (0, 154)  (2, 384)  (6, 844)

[tex]\sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{384-154}{2-0}=115[/tex]

Point-slope form of linear equation: [tex]\sf y-y_1=m(x-x_1)[/tex]

(where m is the slope and (x₁, y₁) is a point on the line)

[tex]\sf \implies y-154=115(x-0)[/tex]

[tex]\sf \implies y=115x+154[/tex]

Therefore, the equation for Tank B is:

w = 115m + 154

Therefore, when m = 4:

⇒ w = 115(4) + 154 = 614 liters

Difference

614 - 422 = 192 liters

Find equation for tank B

(0,154)(2,384)

Slope:-

m=384-154/2=230/2=115

Equation in point slope form

w-154=115(m)w=115m+154

For tank B

w=100+80.5m

Put 4on both

Tank A:-

w=100+80.5(4)w=100+322w=422L

TankB

w=115(4)+154w=460+154w=614L

Difference:-

614-422192L

Please help me as soon as posable!! In hurry!!(24 points)

In a geometric sequence, a_ 2 = 2, a_ 3 = 20, and a_4 = 200.
Which equation can be used to find the nth term of the sequence, a_n?

A) a_n =2^n-1
B) a_n =2 · 18^n-1
C) a_n =10 · 2^n-1
D) a_n =1/5 · 10^n-1

Answers

The sequence is geometric, so

[tex]a_n = r a_{n-1}[/tex]

for some constant r. From this rule, it follows that

[tex]a_3 = r a_2 \implies 20 = 2r \implies r = 10[/tex]

and we can determine the first term to be

[tex]a_2 = r a_1 \implies 2 = 10 a_1 \implies a_1 = \dfrac15[/tex]

Now, by substitution we have

[tex]a_n = r a_{n-1} = r^2 a_{n-2} = r^3 a_{n-3} = \cdots[/tex]

and so on down to (D)

[tex]a_n = r^{n-1} a_1 = 10^{n-1} \cdot \dfrac15[/tex]

(notice how the exponent on r and the subscript on a add up to n)

a radioactive substance that has half-life lof 32 years. Find the constant k in the decay formula for the substance

I put up 50 PTS if you just say a random word I will report you

Answers

Answer:

[tex]\displaystyle k = \frac{1}{32}\ln\frac{1}{2} \approx -0.02166[/tex]

Step-by-step explanation:

The decay formula is given by:
[tex]\displaystyle P(t) = P_0e^{kt}[/tex]

Where k is some constant, P₀ is the initial population, and t is the number of years.

Because the substance has a half-life of 32 years, P(t) = 1/2P₀ when t = 32. Substitute:
[tex]\displaystyle \frac{1}{2}P_0 = P_0 e^{k(32)}[/tex]

Solve for k:

[tex]\displaystyle \begin{aligned} \frac{1}{2} & = e^{32k} \\ \\ \ln\left(e^{32k}\right) & = \ln\left(\frac{1}{2}\right) \\ \\ 32k & = \ln\frac{1}{2} \\ \\ k & = \frac{1}{32}\ln\frac{1}{2} \\ \\ &\approx -0.02166\end{aligned}[/tex]

In conclusion, the value of k is about -0.02166.

The value of k in the exponential decay formula is k = 0.022

How to find the value of k?

To find the constant k in the decay formula for the radioactive substance, we can use the formula for exponential decay, which is given by:

N(t) = N₀*exp(-kt)

where:

N(t) is the amount of the radioactive substance at time t.N₀ is the initial amount of the substance at t = 0 (time of measurement).e is the base of the natural logarithm (approximately 2.71828).k is the decay constant we need to find.t is the time elapsed (in this case, t is measured in years since the half-life is given in years).

The half-life of the substance is the time it takes for half of the substance to decay, which is 32 years in this case. So, after one half-life, N(t) = N₀ / 2.

Now, let's set up the equation for one half-life:

N(t) = N₀ * exp(-k * 32)

Since N(t) = N₀ / 2 after one half-life, we can write:

N₀ / 2 = N₀ * e^(-k * 32)

Now, divide both sides by N₀:

1/2 = exp(-k * 32)

To solve for k, take the natural logarithm (ln) of both sides:

ln(1/2) = -k * 32

k = ln(1/2) / -32

k = 0.022

Learn more about half-life at:

https://brainly.com/question/1160651

#SPJ3

Calculus Problem

1. Find the volume of the solid whose base is bounded by the graphs of y = 8 - x^2and y = x^2,
with the indicated cross sections perpendicular to the x-axis:
a. Squares
b. Semi-Circles
C. Equilateral Triangles

Answers

The two parabolas intersect for

[tex]8-x^2 = x^2 \implies 2x^2 = 8 \implies x^2 = 4 \implies x=\pm2[/tex]

and so the base of each solid is the set

[tex]B = \left\{(x,y) \,:\, -2\le x\le2 \text{ and } x^2 \le y \le 8-x^2\right\}[/tex]

The side length of each cross section that coincides with B is equal to the vertical distance between the two parabolas, [tex]|x^2-(8-x^2)| = 2|x^2-4|[/tex]. But since -2 ≤ x ≤ 2, this reduces to [tex]2(x^2-4)[/tex].

a. Square cross sections will contribute a volume of

[tex]\left(2(x^2-4)\right)^2 \, \Delta x = 4(x^2-4)^2 \, \Delta x[/tex]

where ∆x is the thickness of the section. Then the volume would be

[tex]\displaystyle \int_{-2}^2 4(x^2-4)^2 \, dx = 8 \int_0^2 (x^2-4)^2 \, dx \\\\ = 8 \int_0^2 (x^4-8x^2+16) \, dx \\\\ = 8 \left(\frac{2^5}5 - \frac{8\times2^3}3 + 16\times2\right) = \boxed{\frac{2048}{15}}[/tex]

where we take advantage of symmetry in the first line.

b. For a semicircle, the side length we found earlier corresponds to diameter. Each semicircular cross section will contribute a volume of

[tex]\dfrac\pi8 \left(2(x^2-4)\right)^2 \, \Delta x = \dfrac\pi2 (x^2-4)^2 \, \Delta x[/tex]

We end up with the same integral as before except for the leading constant:

[tex]\displaystyle \int_{-2}^2 \frac\pi2 (x^2-4)^2 \, dx = \pi \int_0^2 (x^2-4)^2 \, dx[/tex]

Using the result of part (a), the volume is

[tex]\displaystyle \frac\pi8 \times 8 \int_0^2 (x^2-4)^2 \, dx = \boxed{\frac{256\pi}{15}}}[/tex]

c. An equilateral triangle with side length s has area √3/4 s², hence the volume of a given section is

[tex]\dfrac{\sqrt3}4 \left(2(x^2-4)\right)^2 \, \Delta x = \sqrt3 (x^2-4)^2 \, \Delta x[/tex]

and using the result of part (a) again, the volume is

[tex]\displaystyle \int_{-2}^2 \sqrt 3(x^2-4)^2 \, dx = \frac{\sqrt3}4 \times 8 \int_0^2 (x^2-4)^2 \, dx = \boxed{\frac{512}{5\sqrt3}}[/tex]

PLEASE HELP
What can you say about the y-values of the two functions f(x) = 3x2 -3 and
g(x) = 2* -3?
A. f(x) and g(x) have equivalent minimum y-values.
B. f(x) has the smallest possible y-value.
C. The minimum y-value of g(x) approaches -3.
D. g(x) has the smallest possible y-value.

Answers

Answer:  


g(x) has the smallest possible y-value of -3

Step-by-step explanation:


f(x) = 3ˣ - 3   This is an exponential graph shifted down three units. So, it has an asymptote at y = -3, which means it approaches -3 but does not touch it.Range: y > 3   (-3, ∞)   g(x) = 7x² - 3  ⇒ g(x) = 7(x - 0)² - 3   This is a parabola with vertex at (0, -3) Range: y ≥ 3   [-3, ∞)

Use the quadratic formula to find the solutions to the quadratic equation below. x^2 - 6x - 5 = 0

Answers

Step-by-step explanation:

We know the quadratic formula, which is :

[tex] \\ {\longrightarrow \qquad{ \sf{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} }}} \\ \\ [/tex]

Here,

a = 1b = -6c = -5

So,

[tex] \\ {\longrightarrow \qquad{ \sf{x = \frac{ - ( - 6) \pm \sqrt{ {( - 6)}^{2} - 4(1)( - 5) } }{2(1)} }}} \\ \\ [/tex]

[tex] {\longrightarrow \qquad{ \sf{x = \frac{ 6 \pm \sqrt{ 36 - 4( - 5) } }{2} }}} \\ \\ [/tex]

[tex]{\longrightarrow \qquad{ \sf{x = \frac{ 6 \pm \sqrt{ 36 + 20 } }{2} }}} \\ \\ [/tex]

[tex]{\longrightarrow \qquad{ \sf{x = \frac{ 6 \pm \sqrt{ 56 } }{2} }}} \\ \\ [/tex]

[tex]{\longrightarrow \qquad{ \sf{x = \frac{ 6 \pm \sqrt{ 2(28) } }{2} }}} \\ \\ [/tex]

[tex]{\longrightarrow \qquad{ \sf{x = \frac{ 6 \pm \sqrt{ 2(2)(14) } }{2} }}} \\ \\ [/tex]

[tex]{\longrightarrow \qquad{ \sf{x = \frac{ 6 \pm \sqrt{ 2(2)(2)(7) } }{2} }}} \\ \\ [/tex]

[tex]{\longrightarrow \qquad{ \sf{x = \frac{ 6 \pm \sqrt{ 2} . \sqrt{2} . \sqrt{2 . 7} }{2} }}} \\ \\ [/tex]

[tex]{\longrightarrow \qquad{ \sf{x = \frac{ 6 \pm 2 \sqrt{14} }{2} }}} \\ \\ [/tex]

Now, Separating the solutions :

[tex] \\ {\longrightarrow \qquad{ \sf{x = \frac{ 6 + 2 \sqrt{14} }{2} }}} \\ \\ [/tex]

[tex] {\longrightarrow \qquad{ \sf{x = 3 + \sqrt{14}}}}\\ \\ [/tex]

[tex]\\ {\longrightarrow \qquad{ \sf{x = \frac{ 6 - 2 \sqrt{14} }{2} }}} \\ \\ [/tex]

[tex] {\longrightarrow \qquad{ \sf{x = 3 - \sqrt{14}}}}\\ \\ [/tex]

Other Questions
How can unpaid volunteer work help you choose a career? WILL GIVE BRAINLIESTPart AWhat were the major events that happened around the time of the presidential elections shown in the maps that shaped how people voted?1932- 1948-1964-1968- Furnace for firing clay Your homeowners policy has a premium of $150, a deductible of $5000, and a limit of $300,000. Your home suffers $500,000 in damages. How much will you pay? How much will your insurance pay? What contains genetic material but is not clarified as living? A.Bacteria B.Protozoa C. Virus D.lizard Whats the value of x. If you work with children, why is it important to be ever vigilant for any signs of child abuse? Which sentence includes an antonym for the word divide? A) The family was able to combine all of the ingredients in order to make a delicious crock pot meal. B) The couple decided to split up because they didnt see how a long distance relationship was going to work. C) The plan for Biology class was to dissect a frog. Not a lot of students were very pleased. D) Sometimes, you cannot easily separate your work and home life Which of the following was a result of the Meiji Restoration in Japan in the late 19th century? Seetha, the receptionist of Mind Zone a mind game center, recorded the number of visitors per day in her logbook and calculated the average per week. While doing the monthly updates she noticed that the data on a particular day is missing as water spilled over it. What would be the missing value? Nancy found that x=1 is one solution to the quadratic equation (x 2)2=a. what is the value of a? -9 -3 3 9 A rectangles length is 5 inches more than twice its width. its area is 50 square inches. which equation can be used to find its width, w? 2w(2w 5) = 50 2w(w 5) = 50 w(2w 5) = 50 w(w 5) = 50 Which Cold War event first suggested that Soviet military power might be on par with that of the United States Select the more effective use of correlative conjunctions to join these sentences.The junior varsity team is riding the bus to the playoffs. The varsity team is riding the same bus.A. Not only the Junior Varsity but also the Varsity team is riding the bus to the playoffs.B. Not only the Junior Varsity but the Varsity team is riding the bus to the playoffs. What is the attention Grabber for this essay? How Could it be improvedI believe in the truth setting you free. When I was young I used to have no qualms with telling a lie to suit my purposes, whether my purposes were to get out of trouble, getting what I wanted, or to make myself look good. As I grew older and experienced more of life, I became swayed from the dark side to believe in the value of truth. I believe that lying builds you your own prison cell brick by brick, with each lie building on top of the other. As the esteemed Fox Mulder said, The truth is out there. I believe in finding the truth in yourself and everything around you. 20 characters is all you need what is the distance between (4,7) and (-3,9) "Tory" is another name for You are out at a park and see someone waking their dogs this person has 3 dogs that are all the same but they have different fur colors one is black one is brown and one is light brown explain how a change in their DNA makes their possible fur color in dogs is controlled much the same way as it is in deer mice ( I will you 60 points trust me) PLEASE HELP 20 POINTS