show all the steps for x=10x^2-2

Answers

Answer 1
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x-(10*x^2-2)=0

Step-1 : Multiply the coefficient of the first term by the constant -10 • 2 = -20

Step-2 : Find two factors of -20 whose sum equals the coefficient of the middle term, which is 1 .

-20 + 1 = -19
-10 + 2 = -8
-5 + 4 = -1
-4 + 5 = 1 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 5
-10x2 - 4x + 5x + 2

Step-4 : Add up the first 2 terms, pulling out like factors :
-2x • (5x+2)
Add up the last 2 terms, pulling out common factors :
1 • (5x+2)
Step-5 : Add up the four terms of step 4 :
(-2x+1) • (5x+2)

Solve : 5x+2 = 0

Subtract 2 from both sides of the equation :
5x = -2
Divide both sides of the equation by 5:
x = -2/5 = -0.400

Solve : -2x+1 = 0

Subtract 1 from both sides of the equation :
-2x = -1
Multiply both sides of the equation by (-1) : 2x = 1


Divide both sides of the equation by 2:
x = 1/2 = 0.500

Root plot for : y = -10x2+x+2
Axis of Symmetry (dashed) {x}={ 0.05}
Vertex at {x,y} = { 0.05, 2.02}
x -Intercepts (Roots) :
Root 1 at {x,y} = { 0.50, 0.00}
Root 2 at {x,y} = {-0.40, 0.00}

Related Questions

Please help! Brainliest answer if you do!

Answers

Answer:

C.

Step-by-step explanation:

Roberto orders 13 quarts of special BBQ sauce. It costs him a total of $206.57. write an equation that can be used to find how much each quart cost. solve the equation

Answers

9514 1404 393

Answer:

  13c = 206.57

Step-by-step explanation:

If c is the cost of 1 quart of sauce, then 13c is the cost of 13 quarts. We are told that is $206.57, so the equation is ...

  13c = $206.57

__

You may be required to leave the dollar sign out of the equation. If you leave it in, then the answer comes with its own units (dollars).

  c = $206.57/13 = $15.89

Can someone solve this with explaining it

Answers

Answer:72

Step-by-step explanation:

72+37=109

180-109=72

I IS MATH

Answer:

72°+37°+x°=180°(being exterior angles)

109°+x°=180°

x°=180°-109°

x°=71°

A 180 pound weight is supported by two ropes each at 30 degrees, as shown in the figure. Find the tension in each rope.

Answers

Answer:

= 41.32N  

To find N amount

You find the kg weight then times it by 10 then divide that amount by 1/2

So that 180pounds = 81.6466 x 10kg

x10 = 816.466

81.6466 / 2 = 40.8233

sin(30) = 40.8233/T

T =  40.8233/sin (30) =  N / sin(30) = Tension = calculator = -41.3178070464 = 41.32 N

Find the probability of selecting a vowel from the word “MATHEMATICS” [please help!!!!]​

Answers

There is a 4/11 chance that you will pick a vowel.

A plant has an initial height of 1 inch and grows at a constant rate of 3 inches each month.A second plant that also grows at a constant rate has an initial height of 4 inches and is 28 inches tall after 1 year. After how many months are the plants the same height?

Answers

Answer:

3 MONTHS

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST

p-5 = 19
answer step by step & explain

Answers

Answer:

Step-by-step explanation:

Very simple.

p - 5 = 19

So to take out the -5 on that side, you must also do the same thing to the other side. So adding 5 in one side of the equal sign would mean you have to do the same thing on the other side of the equal sign.

SO:

p-5 +5 = 19+5

p = 24

P=26

26-5=19


(19+5 is also 26 so you can check your work that way)

Kerry has a 50% off coupon for GameStop. How much will a $35.95 game cost if he uses the coupon?
A.$28.71
B.$5.24
C233.00
D. None of the above

Answers

Answer:

D: None of the above because 35.95/2=17.975.

Step-by-step explanation:

Divide 35.95 by 2.

Answer: D. None of the above

Steps:
x = 35.95 - (35.95 * 50%)
x = 35.95 - (35.95 * 0.50)
x = 35.95 - 17.975
x = 17.975

Check:
17.975 = 35.95 - (35.95 * 50%)
17.975 = 35.95 - (35.95 * 0.50)
17.975 = 35.95 - 17.975
17.975 = 17.975 ✅

Help with this please!

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: y + 4= 9/4(x - 3)

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

The answer is y+4: 9/4 ( x-3)

60 minutes is what percentage of 1 hour?​

Answers

Answer:

100%

Step-by-step explanation:

Answer: 100 is your answer hope this helped

plz make brainly

Step-by-step explanation:

Hurry need help on number 1 fast pls pls pls!!!

Answers

Answer:

the second answer is the answer

PLEASE HELPPP!! fill in the blank with + or -
reporting if you post a inappropriate comment.

Answers

Answer:

Top box is +, left box is +, right box is -, bottom box is +

Step-by-step explanation:

Hopefully that makes sense lol

The sum of two numbers is10 . The difference is2 .

​Find the two numbers by creating a system of equations for the situation.
​Then, graph each linear equation.

​Finally, indicate the solution by marking the point of intersection.


show your answer in a graph​

Answers

Answer:

6 and 4

Step-by-step explanation:

Let the numbers are x and y.

Then the equations are:

x + y = 10 (blue line)x - y = 2 (red line)

The graph are attached with the intersection marked:

(6, 4)

what is the measure of ZDEG on circle O?​

Answers

Answer:

∠ DEG = 50°

Step-by-step explanation:

Angles on the circle subtended by the same arc are congruent.

∠ CFG and ∠ DEG are angles on the circle subtended by arc CD , then

∠ DEG = ∠ CFG = 50°

Answer:

50° parallel lines subtended on circumference theorem, and congruent angles seen as subtended on same arc lone examples attached.

Show how to use substitution or elimination to solve the following system of equations. Write your solution as an ordered pair:
7x + y = 5 , 7x + y = -2

( , )

And please tell me if you used substitution or elimination. TYSM

Answers

Answer:

x=.5, y=-5.5

Step-by-step explanation:

7x+y=5, 7x+y=-2

Simplifing 7x+y=5 first

7x+y=5

y=-7x+5

Next, 7x+y=-2

7x+y=-2

y=-7x-2

Plugging in -7x+5 into y

-7x+5=-7x-2

-14x=-7

x=.5

Plugging .5 into y=-7x-2

y=-7(.5)-2

y=-3.5-2

y=-5.5

I used substitution if your couldn't tell

Hope it helps!

Brainliest maybe? :o

which statements are true about the multiplication division properties of rational expressions check all that apply ?

A. closure property of multiplication states that the product of two rational expressions as a rational expression

B. the commutative property only holds true for the multiplication of rational expressions

C. the associative property holds true for both multiplication and addition of rational expressions

D the associative property states that the way in which two or more factors are grouped in a product changes the value of the product

E. the properties of rational expression multiplication and division are parallel to the properties of rational number multiplication and division ​

Answers

Answer:

a and c statements are true

Step-by-step explanation:

closure property of multiplication states that the product of two rational expressions as a rational expression

C. the associative property holds true for both multiplication and addition of rational expressions

Answer:

The answer is a, b, and e

Step-by-step explanation:

use the model below to write and solve equation

Answers

Answer is:

X is 1, very simple

I need help with this please help me out

Answers

Answer:

A and E

Step-by-step explanation:

hope that helps

Find the area of each regular polygon. Round your answer to the nearest tenth if necessary​

Answers

Answer:

Step-by-step explanation:

13). Area of a square = (Side)²

                                   = (BC)²

     Since, diagonals of a square bisect each other at 90°,

     ΔBOC is a right triangle.

     By applying Pythagoras theorem in the given triangle,

     BC² = OB² + OC²

     BC² = 2(OB)²

     BC² = 2(7√2)²

     BC = [tex]\sqrt{196}[/tex]

     Area of square ABCD = (BC)²

                                          = (√196)²

                                          = 196 units²

14). Measure of interior angles of the regular hexagon = 120°

     Area of the regular hexagon = [tex]\frac{3\sqrt{3}}{2}(\text{side})^2[/tex]

      From the given picture,

      m∠BAC = m∠ABC = m∠ACB = 60°

      Therefore, ΔABC is an isosceles triangle.

      And all sides of this triangle will be equal in measure.

      AB = AC = BC = 9 units

      Area of the given regular hexagon = [tex]\frac{3\sqrt{3}}{2}(9)^2[/tex]

                                                                 = 210.44 square units

                                                                 ≈ 210.4 square units

what is it what is it what is it?!

Answers

Answer:

1.0 g element will be remaining after 19 minutes

Step-by-step explanation:

Answer:

1.0 g element will be remaining after 19 minutes

Step-by-step explanation:

pls help asap no wrong answer pls

Answers

Answer:

I believe both A and B are correct

Step-by-step explanation:

Answer:

diagram b

Step-by-step explanation:

x
Combine like terms:
10k - 2k + 7s2 - 32

Answers

Answer:

[tex]7s^{2}[/tex] + 8k - 32

Which values are solutions of the inequality 5 Choose ALL that apply.


9 or 13 or 15 or 20

Answers

Answer:

a i forgot

Step-by-step explanation:

15!!!! POINTSS what is the mode in the data shown below

Answers

Answer is 20, hope this helps BRAINLIEST?
Here is the other answer so that you can give the person above me brainest

Solve for x. round to the nearest then tenth. Please help!!!

Answers

Answer:

13.7

Step-by-step explanation:

Answer:

x=36

Step-by-step explanation:

22+x=58

22-22= cross that out

58-22= 36

x=36

which sentence best describes percy's rectangle ​

Answers

Umm I would say birds of a feather flock together

50 POINTS: Please help thank you so much!! (Image attached) The polygons are similar. Find the values of the variables.

I know from the answer key that the answers are x=
3 \sqrt{10}310​
and y=
2 \sqrt{10}210​
but I'm not sure how to get there...​

Answers

Answer:

x = 3/5√10

y = 2√10

Step-by-step explanation:

using the Pythagorean theorem:

y² = 7² - 3² = 49 - 9

y² = 40

y = 2√10

3/4.5 = y/5x

4.5y = 15x

substitute for y:

4.5(2√10) = 15x

15x = 9√10

divide both sides of the equation by 15:

x = (9√10)/15 = 3/5√10

Find the probability that a randomly selected points within a square falls in the blue shaded area (circle)

Answers

Answer:

78.8 %

Step-by-step explanation:

From the question,

Area of the square = L²

A = L²

Where L = Length of the square.

From the diagram,

L = 4 in

Therefore,

A = 4²

A = 16 in².

Also,

Area of the circle (A') = πr²

Where r = radius of the circle.

Given: r = 2 in

Therefore,

A' = 22/7(2²)

A = 12.6 in²

Hence,

The probability that a randomly selected points within a square falls in the blue shaded area (Pr) = A'/A

Pr = 12.6/16

Pr = 0.7875

Pr(%) = 78.75

Pr(%) = 78.8 %

a first number plus twice a second number is 8 twice the first number plus the second totals 25

Answers

Answer:

x=14 y=-3

Step-by-step explanation:

Just asking for the answer to this problem.

Answers

Answer:

371.26

Step-by-step explanation:

Using trig we can do tan(68)*5 to find the height of the parallelogram, after this we can do the height times 30 to find the answer

It’s got to be 371.26
Other Questions
In one paragraph, explain how the community uses humiliation to enforce the rules.Make sure to use examples from the first three chapters tosupport your answer. Help! Thanks if you do! Find the slope of the line. Please help.Is algebra. What item is the best of propaganda?A. a campaign ad showing a candidate shaking hands with soldiers B. A news article that describes a candidates visit to a military baseC. The number of active duty personnel at a local military base D. The result from poll asking soldiers which candidate they support What are three of the most important rivers in Africa? Why are they so important to the people of Africa? What was the death rate at Jamestown in the early years? ________% Which object has the greatest inertia? A. 20 Kg mass moving at 20 m/s B. 10 Kg mass moving at 5 m/s C. 45 Kg mass moving at 10 m/s D. 55 Kg mass moving at 1 m/s If x=7-4 3 then find the value of (x+1/x)^2 a violin is less than 0.5 m long. a bass fiddle is more than 1.5 m long. which instrument do you expect to be able to play notes with a lower pitch and why? What does the term 5p mean in the expression 5p - 10?which is multiplied by p.The ?5 represents the ?the ? Write the slope-intercept form of the equation that goes through the point (0,0)and is parallel to the line that has a slope of -6. What inference can be made from the phylogenetic tree?Choose 1 answer:Species A was probably much larger than any of the other organisms.BSpecies G is extinct.Species F and G are more closely related than species B and E.Species C is the most recent common ancestor of species B and D. ome stretching exercise can be harmful, even if performed correctly.Please select the best answer from the choices provided.TF Which persuasive appeal do you think is the most effective in advertising? Explain. Which of the following is an argument that economists would most likely use to justify the need for a replacement forGDP?GDP fails to reflect income.OGDP fails to reflect value of services.GDP fails to reflect value of income and goods.OGDP fails to reflect true wealth and assets. Are all isosceles triangles similar? Are all right triangle similar? Are all isosceles right triangles similar? Explain.Please don't answer with one answer, blank or a ridiculous response. This is serious please. And don't send links that are viruses Please explain each one. X^2/3 5x =5x^5/3Can someone explain how the exponent is 5/3? find the area of the cube Between 1800 -1850, the U.S. population grew from 5 million to _____________.a.10 millionc.23 millionb.16 milliond.130 millionPlease select the best answer from the choices providedABCD