3+ х = х2 + 3x
rewrite by completing the square

Answers

Answer 1

Answer:

Step-by-step explanation:

Completing square:

3 + x = x² + 3x

x² + 3x = x + 3

Step 1: Subtract 'x' from both sides

x² + 3x - x = 3

x² + 2x = 3

Step 2: Divide the coefficeint of x by 2 and square the result

2 ÷ 2 = 1

1² = 1

Step 3: Now add 1 to both the sides

x² + 2x + 1  = 3 + 1

x² + 2x + 1 = 4

The LHS of the equation is in the form a² + 2ab + b² = (a +b)²

(x + 1)² = 2²

Take square root,

x + 1 = ± 2

x + 1 = 2      ;x + 1 = -2

     x = 2 - 1 ;     x  = - 2-1

      x = 1     ;     x = -3

Solution: x = 1,-3


Related Questions

Pls help me with these

Answers

6. d = 24 and w = (-4)

   [tex]-\frac{d}{6} -5-8w=-\frac{24}{6} -5-8(-4)=-4-5+32=23[/tex]

7. n = 7 and d = 2

   [tex]-7d +2(6n - 9)\\ = -7(2) + 2(6(7) - 9) \\= -14 +2(42-9)\\=-14+2(33) = -14 + 66 = 52[/tex]

8. d = (-6) and w = (-9)

    [tex]8-\frac{d}{3} +6w=8-\frac{(-6)}{3} +6(-9)=8+2-54 = -44[/tex]

9. s = 4 and z = (-5)

    [tex]\frac{8}{s} +3+4z=\frac{8}{4} +3+4(-5)=2 + 3 - 20 = 5 -20 = -15[/tex]

Hope that helps!

Find the area of the shaded region, if the height of the parallelogram is 41 units.

PLS HELP! WILL MARK BRAINLIEST AND GIVE LOTS OF POINTS!!

Answers

2,242 units

A = l x W

If you put the right triangle on the right of the parallelogram and fit it into the triangular gap on the left, you can see it makes a rectangle.

41 x 62 = 2,542 units

Unshaded region = 25 x 12 = 300 units

2,542 units - 300 units = 2,242 units

what is the value of 7 in 3.573

Answers

Answer:

7 is in the hundredths place

Step-by-step explanation:

If your asking for the place value the 7 is the hundredths hope this is what your looking for

11. State the zero product property.

Answers

Answer:

The Zero Product Property states that if the product of two numbers is zero, then at least one of the numbers is zero. In symbols, where a and b represent numbers, if ab=0, then a = 0 or b=0

Step-by-step explanation:

Answer:

The identity property of 0, also known as the identity property of addition, tells us that any number + 0 = the original number. Adding zero will not change the "identity" or value of the number you are adding it to. For example: 5 + 0 = 5.

6 + 0 = 6

1 + 0 = 1 ... etc.

I am greater than -4 and less than 12. I am a multiple of 10. What number am I?

Answers

Answer:

I believe it is 10!

Step-by-step explanation:

The multiples of 10 are: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200 and so on.

The only multiple between -4 and 12 is 10!

Hope this helps!!!!

Is Figure B a scale copy of Figure A?
Figure B
Figure A

Answers

Answer:

yes, if this is the answer you're looking for

Step-by-step explanation:

Yes. The scale factor is 1/2 or Divide by 2

answers needed asap, assignment is due 29, april 2022

Answers

Answer:

The answer is 3

Step-by-step explanation:

Answer:

The unit rate would be 3 dollars per pound!

A fabric company can produce 10,200 yards of fabric per year currently. The company's goal is to increase the amount of
fabric it can produce by 450 yards each year. If the company meets its goal, how many total yards of fabric will it have
produced after 9 years?

Answers

The answer is 95,850 because 10,200+450x9years is the equation used

2(x+4)>-12 I can’t figure it out

Answers

Answer:

x > -12

Step-by-step explanation:

Think of X as 1, so its kinda like 1x, so (1x+4=5x). Times the 2, = 10x.

1. X + 4 = 5x

2. 5x · 2 = 10x

3. Place the variables, X > -12

Answer: X > -12

The seventh grade wants to break last year’s record of 78 coats collected for the annual clothing drive. They have already collected 13 coats.

Which inequality represents the number of coats, c, that the seventh grade must still collect?

Answers

Answer:

c + 13c ≥ 78c

78c - 13c =

65c

Question 4 of 10
What is the probability that a data value in a normal distribution is between a
z-score of -0.28 and a z-score of 0.642 Round your answer to the nearest
tenth of a percent.
O A. 34.9%
O B. 73.3%
O c. 58.1%
O D. 90.9%
SUBIRI

Answers

the answer is D
real explanation: take 0.642 & divide it by -0.28.

a shipment to a warehouse consists of 4,000 MP3 players. The manager chooses a random sample of 50 MP3 players and finds 4 that are defective. How many MP3 players in the shipment are likely to be defective?

Answers

Answer:

320

Step-by-step explanation:

Answer:

320 MP3 players

Step-by-step explanation:

4/50 MP3 players are defective

Multiply by 80 to get the whole shipment

4/50 x 80 = 320/4000

help me please need help​

Answers

Step-by-step explanation:

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

Sarah takes 550 mg of an antibiotic. Every hour, her body breaks down 25% of the remaining drug. How much will be left after 12 hours?.

Answers

The amount of drugs that will be left after 12 hours is 17.42 mg provided Sarah takes 550 mg of an antibiotic every hour.

What is exponential decay?

Exponential decay can be described as a reduced amount of an original substance by a definite percentage over a period of time. It can be determined by using the formula:

[tex]\mathbf{y = a(1 - r)^t}[/tex]

where;

y = total amount,          a = initial amount = 550 mgr = the growth rate = 0.25t = number of growth periods = 12 hours

[tex]\mathbf{y = 550(1 - 0.25)^{12}}[/tex]

y = 17.42 mg

Therefore, we can conclude that the amount of drugs that will be left after 12 hours is 17.42 mg.

Learn more about the exponential decay model here:

https://brainly.com/question/12940982

A candelabra holds 5 identical cylindrical candles, each with a diameter of 6 centimeters and a height of 9 centimeters. How many cubic centimeters of wax are in all the candles on the candelabra combined?

Answers

Answer:

Step-by-step explanation:

one candle volume = area of base (circle) × height

V=r²πh

V=6²×π×9

   =36cm²×π×9cm²

  =351π cm³

  ≈1017.36 cm³

then multiply by 5 because there are 5 candles

= 5×351π cm³ = 1755 cm³

≈ 5510.7 cm³

The top of a building is 65 meters away from a spot located 16 meters away from the foot of the building what is the height of the building

Answers

Answer:

81

Step-by-step explanation:

65 meters plus the 16 is 81

Answer:

Step-by-step explanation:

AB represent the building. C represents the spot

The building forms right angle with the ground.

BC will be the hypotenuse and AB, AC are the legs

Use Pythagorean theorem,

AB² + AC² = BC²

AB² + 16² = 65²

AB² + 256 = 4225

          AB² = 4225 - 256

                 = 3969

          [tex]AB = \sqrt{3969} =\sqrt{63*63}[/tex]

AB = 63 m

height of the building = 63 m

Fie bought 3 yards of fabric at $9.35 per' yard and thread for another $2.99
ew a quilt. If she sold her quilt at a local craft fair for $45. how much profit
she make?

Answers

Answer:

$13.96

Step-by-step explanation:

1st, we figure out how much it cost to make the quilt.  The thread cost $2.99.  She bought 3 yards of fabric for $9.35 per yard, so the fabric cost $9.35 x 3 = $28.05.

The quilt cost $28.05 + $2.99 = $31.04

Profit is sales price less the cost of the item.  It's the money left over.

Sales price $45.00 - cost $31.04 = $13.96 is her profit

3,500(1+.04) to the 10th power I will give branliest for right answers

Answers

Answer:

3500×1.04

3500\times 1.216653 simplify

3500×1.216653 simplify

Simplify  3500\times 1.2166533500×1.216653  to  4258.2851584258.285158.

4258.285158 simplifed

Step-by-step explanation:

hope this helps if not please let me know

Given the following graph, define a) the vertex, b) the intercepts, c) the axis of symmetry, and the sign of the lead coefficient.

Answers

Answer:

Option D is correct

[tex]Slope[/tex] [tex]of[/tex] [tex]AC=Slope[/tex] [tex]of[/tex] [tex]DF[/tex]

Step-by-step explanation:

Given:

1.

ΔABC and ΔDEF are similar

Property of similar states that corresponding sides are in proportion.

2.

[tex]\frac{BC}{EF}=\frac{AB}{DE}[/tex] [By property of similar triangles]

Property of proportions allows you to cross multiply the equation.

then;

3.

[tex]\frac{AB}{BC}=\frac{DE}{EF}[/tex]   [Property of proportion]

Definition of slope: Slope is described as the steepness and direction of line.

then by definition of slope;

4.

[tex]Slope[/tex] [tex]of[/tex] [tex]AC=\frac{BC}{AB}[/tex]

5.

[tex]Slope[/tex] [tex]of[/tex] [tex]DF=\frac{EF}{DE}[/tex]

6.

Substitution property of equality states that:

If a = b then a can be substituted in place of b in any equation or vice-versa.

then;

[tex]Slope[/tex] [tex]of[/tex] [tex]AC= Slope[/tex] [tex]of[/tex] [tex]DF[/tex]

Therefore, the missing step in 6 we get,

[tex]Slope[/tex] [tex]of[/tex] [tex]AC= Slope[/tex] [tex]of[/tex] [tex]DF[/tex]


I need help too find area
(it’s a regular polygon

Answers

Answer:

Dali Lang po Yan Kaya mopo yan

The symbol for a radioactive nuclide is superscript 210 subscript 84 upper p o.. which statement is correct? the atomic number of the radioactive nuclide is 210. the mass number of the radioactive nuclide is 294. the number of neutrons present in the nucleus of each atom is 126. the number of protons present in the nucleus of each atom is 210.

Answers

The correct statement for the symbol of a radioactive nuclide is the number of neutrons present in the nucleus of each atom is 126.

What is radioactive nuclide?

Radioactive nuclide or radioisotope is a different species of chemical element which have a similar mass.

These elements have unstable nuclei, which waste energy by emitting radiation such as alpha, and beta-gamma rays.

Thus, the correct option is C, the number of neutrons present in the nucleus of each atom is 126.

Learn more about radioactive nuclide

https://brainly.com/question/4189425

Answer:

c

Step-by-step explanation:

Help asap!!! NO LINKS PLS!!

Answers

Answer:

18

Solution:First, evaluate 2^3, which equals 8.Next, evaluate 4^2, which equals 16.This is the simplified expression:3/4(8+16)3/4(24)Multiply:18

Hope it helps.

Do comment if you have any query.

a dozen oranges cost 12 pesos so how much do 60 oranges cost

Answers

Find out how much one orange costs (the unit rate:

12 / 12 = 1
Therefore one orange is one pesos

So 60 x 1 = 60

60 oranges costs 60 pesos

Whats the sum of 3/7 and 1/21

Answers

Answer:

10/21

Step-by-step explanation:

3/7 + 1/21

= 9/21 + 1/21

=9 + q/21

= 10/21

Simplify the expression. Write your answer as a power.

Answers

Answer:

Step-by-step explanation:

8 with an exponet of 30 over 8 with an exponent of 8 ( aka ) 240/64

7/2 inches by 3/2 inches?

Answers

Answer:

5.25 inches or [tex]5 \frac{1}{4}[/tex] inches

Step-by-step explanation:

I believe that the question is what do they multiply to..? If so, we start by making them both in decimal form:

7 / 2 = 3.5

3 / 2 = 1.5

Now, we multiply:

3.5 * 1.5 = 5.25

If you want fraction form, we can turn .25 to 1/4.

Fraction form: [tex]5 \frac{1}{4}[/tex]

A beach toy in the shape of a pyramid has a rectangular base with dimensions of 4 inches by 12 inches. The height of the rectangular pyramid is 10 inches.

How many cubic inches of sand is needed to fill the beach toy?

Enter your answer in the box.

Question 1 options:

Answers

The amount of sand needed = volume of rectangular pyramid = 160 cubic inches of sand.

What is the Volume of a Rectangular Pyramid?

Volume of rectangular pyramid = 1/3(base area × height of pyramid)

Given the following:

Base area of the pyramid = 4 in. × 12 in. = 48 in.²Height = 10 in.

Amount of sand needed to fill each beach toy = Volume of rectangular pyramid = 1/3(48 × 10) = 160 cubic inches of sand.

Learn more about volume of rectangular pyramid on:

https://brainly.com/question/1153556

Can someone step by step turn 3y-9x=-81 into slope-intercept form!???

Answers

To turn something into the slope-intercept form

  ⇒ must know the slope-intercept form ⇒ [tex]y = mx +b[/tex]

m: the value of the slopeb: y-intercept

To convert our current form into slope-intercept form

 ⇒ must solve for 'y'

    ⇒ (in other words) move everything to one side and 'y' by itself on the

    other

        [tex]3y - 9x = -81\\3y =9x-81\\y = 3x - 27[/tex]

     *purely extra information (not necessary for final answer)

slope is 3y-intercept is -27

Slope-intercept form: y = 3x - 27

Hope that helps!

The sum of two numbers is 122. The difference of the first number and twice the second number is 23. Find the two numbers.

Answers

Answer:

One is 89 , the other is 33.

Step-by-step explanation:

Set up a system of 2 equations:

x + y = 122

x - 2y = 23        Subtracting:

0 + 3y = 99

y = 33.

So:

x + 33 = 122

x = 122 -33 = 89.

Answer:

first number= 89 and second number= 33

Step-by-step explanation:

here, let the first number be X and the second number be y,then

From the question,

x + y = 122 ---- eq i

x -2y = 23 ----- eq ii

From substitution method,

From eq i,

x + y = 122

or, x =122 - y

Now, putting the vale of x in eq ii,we get,

122 -y -2y = 23

or, -3y = 23-122

or, -3y = -99 (cut minus sign in both sides)

or, y=99/3

or, y = 33

Again, putting the value of y in eq i,we get,

x + 33 = 122

or, x= 122-33

or, x=89

BRAINLIESTTTTTTTTTTTTTTTTTTTTTTTTTTtt

Answers

Step-by-step explanation below:
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