Can someone please help me with this

Can Someone Please Help Me With This

Answers

Answer 1

Answer:

13)5m-10

14)8y+16

15)-3m-12

16)a²+3a

17)h²-2h

18)2m²+8m

19)-2z+16

20)-4x²+40x

21) 12x and 60

22)x and 4

Answer 2
13.5m-10
14.8y+16
15.-3m-12
16.a^2+3a
17.h^2-2h
18.2m^2+8m
19.-2z+16
20.-4x^2+40
21. sum 2x+46
product 60x
22 sum 2x+18
product20x

Related Questions

What is the distance between the points (-3, 9) and (5, 1)? Round to the
nearest tenth, if necessary.

Answers

Answer: 11.3

Step-by-step explanation:

To find the distance, we will need the distance formula.

[tex]D=\sqrt{(x_{2}-x_{1} ) ^2+(y_{2}-y_{1})^2 }[/tex]

Since we know our x and y, we can plug them into this equation.

[tex]D=\sqrt{(5-(-3))^2+(1-9)^2}[/tex]

[tex]D=\sqrt{(8)^2+(-8)^2}[/tex]

[tex]D=\sqrt{64+64}[/tex]

[tex]D=\sqrt{128}[/tex]

[tex]D=11.3[/tex]

The distance between the points is 11.3.

Juan is going to take a flight from Orlando, Florida, to Los Angeles, California.
The flight leaves Orlando at 9:15 a.m. Orlando time and arrives in Los Angeles
at 1:20 p.m.Los Angeles time. If Orlando is in the eastern time zone and Los
Angeles is in the Pacific time zone, how long is the flight? Use the following to
help you answer the question 12:00 p.m. eastern time = 11:00 a.m. central
time = 10:00 a.m. mountain time = 9:00 a.m. Pacific time.
A. 7 h 05 min
B. 5 h 15 min
C. 3 h 15 min
D. 4 h 15 min

Answers

Answer:

The correct option is A:

A) Time of flight = 7 hours 5 minutes

Step-by-step explanation:

If

For eastern time zone, t = 12:00 pm

Then, pacific time zone , t =  9:00 am

Which means the pacific time lags 3 hours to eastern time

Time of departure = 9:15 am (eastern time)

TIme of arrival = 1:20 pm (pacific time)

Either convert both of them into eastarn time zone or pacific time zone to find the time of the flight. The answer for both will be the same.

Converting both in pacific time zone.

Time of arrival = 1:20 pm (pacific time)

Time of departure = (9:15 am (eastern time) - 3 hours) (pacific time)

Time of departure =  6:15am (pacific time)

Time of flight = Time of arrival - Time of departure

Time of flight = 1:20pm - 6:15am

Time of flight = 7 hours 5 minutes

Can someone help me solve one of these?

Answers

Answer:

  see below

Step-by-step explanation:

When the letters are replaced and mixed between draws, the draws are independent. In that case, the probability of a sequence is the product of the probabilities of the individual letters in the sequence.

The individual probabilities are ...

  D  -  1/4

  E  -  2/4

  R  -  1/4

__

So, the probability for a sequence like DD is ...

  p(D)·p(D) = (1/4)(1/4) = 1/16

Of course, to convert to a percentage, multiply by 100%:

  1/16 × 100% = 6.25%

The attachment shows the rest of them.

A portion of the Quadratic Formula proof is shown. Fill in the missing reason. Statements Reasons ax2 + bx + c = 0 Given ax2 + bx = −c Subtract c from both sides of the equation x squared plus b over a times x equals negative c over a Divide both sides of the equation by a x squared plus b over a times x plus the quantity b over 2 times a squared equals negative c over a plus the quantity b over 2 times a squared Complete the square and add the quantity b over 2 times a squared to both sides x squared plus b over a times x plus the quantity b over 2 times a squared equals negative c over a plus b squared over 4 times a squared Square the quantity b over 2 times a on the right side of the equation x squared plus b over a times x plus the quantity b over 2 times a end quantity squared equals negative 4 times a times c over 4 times a squared plus b squared over 4 times a squared Find a common denominator on the right side of the equation x squared plus b over a times x plus the quantity b over 2 times a squared equals b squared minus 4 times a times c all over 4 times a squared Add the fractions together on the right side of the equation quantity x plus b over 2 times a end quantity squared equals b squared minus 4 times a times c all over 4 times a squared ? Rewrite the perfect square trinomial as a binomial squared on the left side of the equation Take the square root of both sides of the equation Multiply both sides of the equation by 2 Square the left side of the equation

Answers

Answer:

Find a common denominator on the right side of the equation

Step-by-step explanation:

I was taking the test and couldn't find the answer to this question anywhere so let me help you out...  

abidemiokin provided a wonderful step-by-step explanation for solving the formula, but left out the actual answer for the question which is what I'm here for. I read through abidemiokin's explanation and reviewed my options before choosing the best answer. As you see in step 5 of my edited version of abidemiokin's explanation the missing step is there. In the provided question we see steps 1,2, 3, and 4 being identical to those in the explanation below. From this, it is clear the next step (step 5) would be the next step, and as it is one of the options we can trust that it is correct.

(If you still have doubts then trust the fact that I took the test and the answer I provided above was indeed correct.)

Given the quadratic equation ax²+bx+c = 0, to derive the quadratic formula from the equation, the following steps must be followed;

ax²+bx+c = 0

Step 1: Subtract c from both sides

ax²+bx+c-c = 0-c

ax²+bx = -c

Step 2: Divide both sides of the equation by a

ax²/a + bx/a = -c/a

x² + bx/a = -c/a

Step 3: Complete the square and add the quantity (b/2a)² times a squared to both sides

x² + bx/a +  (b/2a)² = -c/a +  (b/2a)²

Step 4: Square the quantity  b/2a on the right side of the equation

x² + bx/a +  (b/2a)² =  -c/a +  b²/4a²

Step 5: Find a common denominator on the right side of the equation which is 4a²

x² + bx/a +  (b/2a)² =  -4ac/4a² +  b²/4a²

Step 6: Add the fractions together on the right side of the equation

x² + bx/a +  (b/2a)² =  (-4ac+  b²)/4a²

Note: The fraction at the right-hand side of the equation is to be added together not multiplied as shown in the question.

Step 7: The equation on the left is to be written as a perfect square as shown

(x+b/2a)² =  (-4ac+  b²)/4a²

Step 8: Take the square root of both sides

√(x+b/2a)² = √ (-4ac+  b²)/4a²

(x+b/2a) =  √(-4ac+  b²)/2a

Step 9: subtract b/2a from both sides

x+b/2a - b/2a =  -b/2a + √(-4ac+  b²)/2a

x =  -b/2a + √(-4ac+  b²)/2a

Step 10: Add the fractions together on the right-hand side

x =  -b±√(-4ac+  b²)/2a

This gives the required equation

Answer: A  Find a common denominator on the right side of the equation

Step-by-step explanation: Took the test of FLVS

X/5-2=11 what is the solution

Answers

Answer:

x=65

Step-by-step explanation:

x/5 - 2 = 11

x/5= 11+2

x/5=13

x=13×5

x=65

Answer:

X = 55 is the answer.

Step-by-step explanation:

Question = x/5 - 2 = 11

1. Isolate the variable

x/5 - 2 = 11

    + 2   + 2

x/5 = 11

2. Remove the fraction

x/5 = 11

*5      *5

3. Simplify

x = 55

The answer is x = 55.

Hope this helped,

Kavitha

Given that the triangles shown below are similar, what is the value of X?

Answers

Answer:

24

Step-by-step explanation:

Each side from triangle AHM to triangle DPL is divided by 2

32/2 = 16

40/2 = 20

Therefore, 48 / 2 = 24

Answer:

x = 24 (Answer B)

Step-by-step explanation:

Notice that the side lengths of the first (larger) triangle are twice (2x) the corresponding sides of the second (smaller) triangle.

Thus the length of x is half of the corresponding side in the larger triangle, that is:  x = half of 48, or x = 24 (Answer B)

Ordered pair for this point? (The point is circled in Blue)

Answers

Answer:

( -3, 1)

........

Answer:

(-3, 1)

Step-by-step explanation:

The point lies on the line x = -3.

The point lies on the line y = 1.

Where both lines intersect, that is the coordinate.

(x, y)

(-3, 1)

What is the area of the parallelogram

Answers

Answer:

A = 300 cm^2

Step-by-step explanation:

The area of the parallelogram is

A = bh

A = 20 *15

A = 300 cm^2

Complete the square to rewrite y= x2 - 6x + 2 in vertex form. Then state
whether the vertex is a maximum or a minimum and give its coordinates.

Answers

Answer:

see explanation

Step-by-step explanation:

Given

y = x² - 6x + 2

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 6x

y = x² + 2(- 3)x + 9 - 9 + 2

  = (x - 3)² - 7 ← in vertex form

with vertex = (3, - 7 ) and a = 1

Since a > 0 then vertex is a minimum

Answer:

The vertex is a minimum.

What is (-i)5?
A -1
B 1
C -I
D i

Answers

Answer:

-i^5=-i

Step-by-step explanation:

rewrite the equation ;

i^4=1

I^4 *-i = 1*-i=-i

PLEASE HELP! The time it takes to drive from Orangeville to the Vaughan Mills Mall is normally distributed with a mean of 52 minutes and standard deviation of 5 minutes. What intervals could you estimate, using the knowledge from this activity that do not include the mean as a max or min? For example, is an interval we could estimate? However, it includes the mean as the maximum of the interval. Another example is as an example of a probability interval that we know from this activity, but it includes the mean as the minimum.

Answers

Answer:

P(X≤57) = 84%

P(X≥57) = 16%

P(47≤X≤57) = 68%

P(X≤47) = 16%

P(X≥47) = 84%

Step-by-step explanation:

We know P(X≤52) = 50%, but this includes the mean as a maximum.

We know P(52≤X≤57) = 34%, but this includes the mean as a minimum.

But if we combine them, we get P(X≤57) = 84%.

We could also say P(X≥57) = 16%.

Since normal distributions are symmetrical, we can also show that P(47≤X≤52) = 34%.  So P(47≤X≤57) = 68%, P(X≤47) = 16%, and P(X≥47) = 84%.

Please answer I’m not good with math

Answers

angleGEF, the first option!!

Answer: A

Step-by-step explanation:

it's easy

6. At a bus interchange, a number of passengers boarded a bus. At the first
bus stop, of the passengers alighted the bus and 6 people boarded the
bus. At the 2nd bus stop, of the passengers alighted and 10 passengers
boarded the bus. There were 24 passengers on the bus when it left the
2nd bus stop. How many passengers boarded the bus at the interchange?​

Answers

Answer:

The answer is given below

Step-by-step explanation:

Let the number of passengers that boarded the bus at the interchange be x.

At the first  bus stop, 1/4 of the passengers alighted the bus and 6 people boarded the  bus.

Therefore The number of passengers when the bus left the first bus stop = [tex]x-\frac{1}{4}x +6=\frac{3}{4}x+6[/tex]

At the 2nd bus stop, 8/15 of the passengers alighted and 10 passengers  boarded the bus.

Therefore The number of passengers when the bus left the second bus stop

[tex]=\frac{3}{4}x+6-\frac{8}{15}( \frac{3}{4}x+6)+10=\frac{3}{4}x+6-\frac{8}{20}x-3.2+10\\\\=\frac{7}{20}x+12.8[/tex]

Given that there were 24 passengers on the bus when it left the  2nd bus stop

[tex]\frac{7}{20}x+12.8=24\\7x+256=480\\7x=480-256\\7x=224\\x=32[/tex]

Therefore 32 passengers boarded the bus at the interchange

describe the rule of continuing this sequence 44, 41, 38, 35, 32

Answers

Answer:

aₙ= 47 -3n

Step-by-step explanation:

44, 41, 38, 35, 32

This is AP with 1st term of 44 and common difference of -3

nth term of this AP:

aₙ= a₁+(n-1)d= 44+(n-1)*(-3)= 44 - 3n+3= 47-3naₙ= 47 -3n

Drag steps in the given order to evaluate this expression. −3(−3+2)−6

Answers

Answer:

See Explanation Below

Step-by-step explanation:

Given

[tex]-3(-3 + 2) - 6[/tex]

Required

Drag the steps

Note that not all steps in the given diagram will be used;

Step 1: Perform Multiplication; 9 + -6 - 6

Step 2: Simplify: -3

Further Explanation:

Step 1 is gotten by opening the bracket;

[tex]-3(-3 + 2) - 6[/tex]

[tex]9 +-6 - 6[/tex]

Step 2 is gotten by solving step 1 further

[tex]9 +-6 - 6[/tex]

[tex]9 - 6 - 6[/tex]

[tex]9 - 12[/tex]

[tex]-3[/tex]

Which is a valid prediction about the continuous function
f(x)?
f(x) < 0 over the interval (-00, 0).
f(x) > 0 over the interval (-1,00).
f(x) > 0 over the interval [-1, 1].
f(x) < 0 over the interval (0, 2).
pls hurry

Answers

Answer:

Option C.

Step-by-step explanation:

Note: In option C interval should be (-1,1) instead of [-1,1].

From the given table it is clear that the value of f(x) is 0 at x=-1 and x=1.

The value of f(x) is negative over the interval [tex](\infty,-1)\text{ and }(1,\infty)[/tex]. So,

[tex]f(x)<0[/tex] over the interval [tex](\infty,-1)\text{ and }(1,\infty)[/tex]

The value of f(x) is positive over the interval [tex](-1,1)[/tex]. So,

[tex]f(x)>0[/tex] over the interval [tex](-1,1)[/tex]

Therefore, the correct option is C.

Cecilia made an envelope to mail a letter. She colored the regular trapezoid flap on the bottom of the envelope blue, as shown. What is the area of the blue flap of the envelope? 14 Inches squared 18 Inches squared 45 Inches squared 90 Inches squared

Answers

Answer:

The correct option is:

14 inches

Step-by-step explanation:

The question is incomplete because the picture of the flap is not shown in the question nor the measurements are given. First lets complete the question. The figure was this question is attached below.

We can see that the bottom width of the trapezoid is 9 inches, the top width of the trapezoid is 5 inches, and it has a height of 2 inches.

The area of trapezoid is given as:

Area = ((Top width + Bottom width)/2) · h

Area = ((9+5)/2) · 2

Area = (14/2) · 2

Area = 7 · 2

Area = 14 inch²

Answer:

14

Step-by-step explanation:

Find the area under the standard normal curve to the left of z = 1.5

Answers

Answer:

0.9332

Step-by-step explanation:

Using the normal distribution, it is found that the area under the standard normal curve to the left of z = 1.5 is of 0.9332.

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

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X, which also represents the area under the normal curve to the left of Z.

Looking at the standard normal table:

z = 1.5 has a p-value of 0.9332.

Thus, the area under the standard normal curve to the left of z = 1.5 is of 0.9332.

A similar problem is given at https://brainly.com/question/6316394


SOLVE and CHECK the following word problem. (6 marks)
The length of a rectangle is 3 m greater than the width. The perimeter is 38 m. What
are the dimensions of the rectangle?​

Answers

Answer:

x = 8

Step-by-step explanation:

Let us take the breadth as 'x'

breadth = x

length = 3 + x

perimeter = 38m

perimeter of a rectangle = 2 ( l + b )

= 2( x + x + 3 ) = 38

4x + 6 = 38

4x = 38-6

x = 32/4

x = 8

breadth = 8

length = 11

What is the product of Three-fourths and Negative StartFraction 6 over 7 EndFraction?
Negative StartFraction 7 over 8 EndFraction
Negative StartFraction 9 over 14 EndFraction
StartFraction 9 over 14 EndFraction

Answers

Answer:

[tex]-\frac{9}{14}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4}*-\frac{6}{7}\\\\\frac{3}{2} *\frac{3}{7} \leftarrow \text{Cross Cancel Common Factor}\\\\ -\frac{3*3}{2*7}\\\\-\frac{9}{14}[/tex]

Answer:

negative 9/14

Step-by-step explanation:

A survey of students' pets were taken. If [tex]\frac{1}{4}[/tex] of the students had a dog only, 20% had a cat only, 15% had multiple pets, and 0.08 had pets other than cats or dogs. What fraction of the students did not have a pet? PLS SHOW WORK!

Answers

Answer:

32% of the students did not have a pet.

Step-by-step explanation:

From the total students (100%):

1/4 of them had a dog only, [tex]\frac{1}{4}=0.25=25\%[/tex]. Then, 25% had a dog only.20% only had a cat.15% had multiple pets.0.08=8% only had other than cats or dogs.Adding up all these cases, we obtain the proportion of students that had at least one pet: [tex]25\%+20\%+15\%+8\%=68\%[/tex]. Then, 68% of the students did have a pet.The rest of the students [tex]100\%-68\%=32\%[/tex], did not have any pet.

Calculate the original price of these items before the
percentage changes shown. Show all of your working.

a) A coat that costs £46.50
after a 7% price reduction

b) A jumper that costs £32.80 after a price increase of
6%

Answers

Answer:

50 and 30.94

Step-by-step explanation:

a

The coat cost 46.5 pounds after a 7 percent reduction

so we can write:

46.5⇒ (100-7)⇒ 93 percent x(the initial price) ⇒ 100 percent

using the proprtionality relation:

x= (100*46.5)/93 = 50

so the initial price of the coat is 50 pounds

b

The jumper costs 32.8 pounds after an increase of 6 percent

so:

32.8⇒(100+6)⇒ 106 percent x (the initial price)⇒ 100 percent

using proportionality:

x= (100*32.8)/106 = 30.94

the initial price is 30.94 pounds

Answer:

a. £50

b. £30.94

Step-by-step explanation:

100-7=93

x×93/100=46.50

x×93=46.50×100=4650

x=4650/93=50 £

b.

100+6=106

y×106/100=32.80

y×100=32.80×100=3280

y=3280/106≈30.94£

HELP ME PLEASE 10 POINTS ON IT PLEASE HELP ASAP WITH EXPLANATION PLEASE​

Answers

a) 382 mm

b) 505 mm

c) 3162 mm

d) 3103 mm

e) 5008400 mm

f) 9046850 mm

basically, there are 10mm in a cm, so you times by ten,

1000mm in a m so multiply by 1000

1000000mm in a km

Algebra 1 help please

Answers

3x-9≤12

3x≤21

x≤7

-5x+10≤20

-5x≤10

x≥-2

Answer:

X = 4

Step-by-step explanation:

First, You need to rewrite the expression to look like this

9 - 3x = 12

An inequality basically means equals and the next step is to subtract 9 from both sides so it would look like this

3x = 12

Then divide both sides by 3 to get

x = 4

A washer and a dryer cost $708 combined. The washer costs $58 more than the dryer. What is the cost of the dryer?

Answers

Answer:

$325

Step-by-step explanation:

Let x be the price of the washer.

Let y be the price of the dryer.

x + y = 708

x = y + 58

Put x as y+58 in the first equation and solve for y.

y + 58 + y = 708

2y + 58 = 708

2y = 650

y = 650/2

y = 325

Put y as 325 in the second equation and solve for x.

x = 325 + 58

x = 383

The cost of the washer is $383.

The cost of the dryer is $325.

Answer:

Step-by-step explanation:

Cost of dryer = $ d

Cost of washer = d + 58

Total cost = $ 708

d + (d + 58) = 708

2d + 58 = 708

         2d = 708 - 58

         2d = 650

           d = 650/2

      d = 325

Cost of washer = 325 + 58 = $ 383

Cost of dryer = $ 325

Complete the equation of the line through (-6,-5) (−4,−4) PLZ HELP !!!

Answers

Answer: y=1/2x−2

Step-by-step explanation:

A jumbo chocolate bar with a rectangular shape measures 13 centimeters in length, 7 centimeters in width, and 2 centimeters in thickness. Due to escalating costs of cocoa, the management has decided to reduce the volume of the bar by 20 %. To accomplish this reduction, management decides that the new bar should have the same 2 centimeter thickness, but the length and width of each should be reduced by an equal number of centimeters. What should be the dimensions of the new candy bar?

Answers

Answer:

Reduce every dimension except thickness by 20%.

The requried new dimensions of the candy bar are approximately 3.4775 cm in length, 2 cm in width (maintained), and 2 cm in thickness.

To find the dimensions of the new candy bar after reducing the volume by 20%, we need to determine the reduction in length and width.

Let's start by calculating the original volume of the candy bar using the formula: volume = length × width × thickness.

Original volume = 13 cm × 7 cm × 2 cm = 182 cm³

Since the management wants to reduce the volume by 20%, we need to find 20% of the original volume and subtract it from the original volume.

20% of 182 cm³ = 0.2 × 182 cm³ = 36.4 cm³

Reduced volume = 182 cm³ - 36.4 cm³ = 145.6 cm³

Now, we need to determine the new dimensions while maintaining the 2 cm thickness.

Let's assume the reduction in length and width is x cm for both dimensions.

The new volume can be calculated using the formula:
volume = (length - x) × (width - x) × thickness.

Setting this equal to the reduced volume, we have:

(13 - x) × (7 - x) × 2 = 145.6

Simplifying and rearranging the equation, we get:

(91 - 20x + x²) = 72.8

x² - 20x + 18.2 = 0

Using the quadratic formula, we can solve for x:

[tex]x = \dfrac{-(-20)\pm \sqrt{(-20)^2- 4(1)(18.2)}} {2(1)}\\x = \dfrac{20 \pm \sqrt{400 - 72.8}} {2}\\x =\dfrac {20 \pm \sqrt{327.2}} {2}[/tex]

x ≈ (20 ± 18.09) / 2

Taking the positive value, we have:

x ≈ (20 + 18.09) / 2

x ≈ 19.045 / 2

x ≈ 9.5225

Since the dimensions cannot be negative, we discard the negative value.

Therefore, the reduction in length and width is approximately 9.5225 cm.

To find the new dimensions, we subtract this value from the original length and width:

New length = 13 cm - 9.5225 cm ≈ 3.4775 cm

New width = 7 cm - 9.5225 cm ≈ -2.5225 cm (discard as it is negative)

Therefore, the new dimensions of the candy bar are approximately 3.4775 cm in length, 2 cm in width (maintained), and 2 cm in thickness.

Learn more about dimensions here:

https://brainly.com/question/31154493

#SPJ4

Determine the magnitude of the difference of the following vectors: 7-7
ū=77 - 127
v=-21 +7
12.08
a.
C.
14.21
b. 13.83
d.
15.81

Answers

Hi there! Let’s see if I can help you <3

The Answer is: 15.81!

Here’s the step by step explication:

First we must find the difference of U and V: (7i-12j)-(-2i+j)

Distributed all out will equal: 9i-13j

We can then go ahead and use Pythagorean therm to find the magnitude: V = Square root of (9)^2 + (-13)^2

This equals Square root of 250!

Depending on the form your teacher wants to answer in it would finally be 5 square roots of 10 or in decimal form; approximately 15.8114!

HOPE IT HELPED YOUUU <3

There are only red,blue and green counters in a bag. There are 6 red counters,4 blue counters and 8 green counters. Matt takes a counter from the bag at random a) What is the probability that the counter is red.Give your answer in a fraction. b) What is the probability that the counter is not blue.Give the answer as a fraction. pls help.

Answers

Answer:

a) 1/3

b) 7/9

Step-by-step explanation:

The first part asks for the probability that Matt takes the red counter.

There are 6 red counters out of total 6+4+8 = 18 counters.

6/18

Simplify the fraction.

= 1/3

The second part asks for the probability that the counter is not blue.

The counters that are blue are 4. Not blue becomes 18-4 = 14. 14 red or green counters out of total 18.

14/18

= 7/9

Answer:

Total outcome =  6 + 4 + 8 = 18

a) Probablity that the counter is red = 6/18 = 1/3

b) Probablity that the counter is blue = 14/18 = 7/9

The Quadratic Formula x =
-btvb2 - 4ac
2a
was used to solve the equation 2x + 10x - 6 = 0. Fill in the missing denominator of the solution.
-5+ 37

Answers

Answer:

2

Step-by-step explanation:

I think the answer is 2, because 2a=4, but when simplified, you can divide both the numerator and denominator by 2, making the denominator 4/2= 2.

The missing denominator of the solution is 2.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have,

2x² + 10x -6 = 0

Now, using Discriminant Method

x = [ -b ± √ (b² -4ac)] / 2a

Here, a= 2, b= 10 and c=-6

So, x = [ -10 ± √(10² - 4(2)(-6)] / 2(2)

x = [ -10 ± √ 100 + 48]/ 4

x = (-10 ± 2√37)/ 4

x = (-5 ± √37)/2

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