3+x=x^2+3x Rewrite the equation by completing the square. What are the solutions to the equation?

Answers

Answer 1

Answer:

hope this helps

Step-by-step explanation:

3+x=x²+3x

Simply the equations.

= x+3=x²+3x

Subtract x²+3x from both sides.

x+3−(x²+3x)=x2+3x−(x²+3x)

−x2−2x+3=0

Factor left side of equation.

(−x+1)(x+3)=0

−x+1=0 or x+3=0

Answer:

x=1 or x=−3


Related Questions

y = 8x + 6, x = 5 plz help i can get admin if i solve this

Answers

Answer:

y = 46

Step-by-step explanation:

I'm assuming you wanted to solve for y.

x = 5

y = 8(5) + 6

y = 40 +6

y = 46

i need help pleasee​

Answers

Answer:

i t s C i t h i n k s o i t h i n k t h i s wouod help u

It's c hope this helped

Mrs. Peters purchased 120 flowers. The total cost was $55.20. After planting all of the flowers, Mrs. Peters decided she needed an additional 18 plants. About how much should she expect to pay total for the additional flowers.

Answers

Answer: 39.13 for 18 plants

Step-by-step explanation:

120/55.20= 2.17 dollars per plant

18*2.17=39.13

Find x
3x + 7 = -5

Pls help

Answers

Answer:

your answer should be

Step-by-step explanation:

x=2i or like i should say -2i

i hope its right tbh sometimes i make mistakes doing these

These questions are about calculus, I would greatly appreciate your help on both questions! .
asap , please !

Answers

If the function f(x) =(4x² tan x)/sec x , then f'(x) =4( 2x sin(x) + x² cos x) using product rule of differentiation and f'(5) =103.11

What is product rule for differentiation?

Product rule for differentiation states that the differentiation the product of two functions is the product of derivative of first function and second function plus  product of derivative of second function and first function.

If we have consider the differentiation of product of two functions u ,v that we can write product rule as

(u*v)' = u' v  + u v' , where '  represents first derivative  with respect to independent variable

Given f(x) = (4x² tan x)/sec x or we can write it as :

f(x) = (4x² )(sin x) as   1/ sec x is cos x , tan x = sin x / cos x

let u =4x² , v = sin x

Then f(x) =u × v

Using product rule of differentiation:

f'(x) =  u' v + u v'  = (8x sin x) + (4x² cos x) = 4( 2x sin(x) + x² cos x)

To find value of f'(x) at x= 5

f'(5) = 4(10sin5 + 25 cos5) = 103.10569951 = 103.11(rounding off )

Therefore if f(x) = (4x² tan x)/sec x  then f'(x) =4( 2x sin(x) + x² cos x) and f'(5) =103.11

Also. Learn more about differentiation rules from the link below:

https://brainly.com/question/27072366

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ASAP!!!!!!!
On the current balance sheet at the end of the first year, a business has $50,000 in total assets and $18,000 in total
liabilities. Compute the business equity at the end of the first year.

Answers

I think the answer is 32000
Why is that the Formula of equity is E= TA - TL

I need a little more help :( 2/3 = ?/9 3/5 = ?/20 2/10 = ?/20 1/3 = ?/6 4/6 = ?/12

Answers

Answer:

2/3 = 6/9

3/5 = 12/20

2/10 = 4/20

1/3 = 2/6

4/6 = 8/12

`Solve this nonlinear inequality. Express the solution in interval notation and graph the solution set 5x^2+3x

Answers

The solution to the non-linear inequality 5x² + 3x < 0, in interval notation, is: (-0.6,0).

When a function is positive and when it is negative?

We have to look at the graph of the function relative to the x-axis, as follows:

A function is positive when it is above the x-axis.A function is negative when it is below the x-axis.

The inequality for this problem is:

5x² + 3x < 0.

Meaning that the two bullet points above are relevant as we want to find when the function is negative.

The graph of f(x) = 5x² + 3x is given at the end of the answer, and it is negative for:

(-0.6,0).

Which is the solution set for the inequality, and is painted on the graph.

More can be learned about inequalities at https://brainly.com/question/11613554

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An amusement park collected $15,513 in revenue from ticket sales one day. They charge $30 for adults and $9 for children. If there were 865 people in attendance that day, how many were adults?

Answers

The number of adults that are there will be 368 adults.

Let adults = a

Let children = c

The equation to solve the question will be:

a + c = 865 ....... i

30a + 9c = 15513 ...... ii

From equation i, c = 865 - a

Since 30a + 9c = 15513

30a + 9(865 - a) = 15513

30a + 7785 - 9a = 15513

30a - 9a = 15513 - 7785

21a = 7728

a = 7728/21

a = 368

Learn more about equations on:

https://brainly.com/question/13763238

The vertex of this parabola is at (-4,-1). When the y-value is 0, the xvalue is 2
What is the coefficient of the squared term in the parabola's equation?

Answers

The standard form for this parabola is x = a(y-k)^2 + h because this is a sideways-opening parabola. Our h and k values for the vertex are (-4, -1). And it goes through (2,0). We just need to solve for the a. Filling in accordingly, 2 = a(0+1)^2-4 so 2 = a - 4. a = 6. A above.

correct answer is 6!

Simplify this expression: -2(-4x + 2y - 6)

Answers

Answer:

8x - 4y + 12

Step-by-step explanation:

-2(-4x + 2y - 6)

(-2)(-4x) + (-2)(2y) + (-2)(-6)

(2 * 4x) - (2 * 2y) + (2 * 6)

8x - 4y + 12

A silo contains 20 pounds of corn per foot in height. Looking at the model below, about what is the maximum amount of corn the actual silo could hold?

A. 60 pounds
B. 300 pounds
C. 900 pounds
D. 2000 pounds ​

Answers

Answer: its actually 900

Step-by-step explanation:

ANSWER ASAP DUE AT 1 QUESTION 4!!! 15 POINTS

Answers

B because if you divide each coordinate by each other you can see it goes up by 2 so b I think

Help me picture above

Answers

Answer:

Area of rectangle OABC = 18 units²

Step-by-step explanation:

From the graph attached,

Vertices of the rectangle are O(0, 0), C(3, 0) and A(0, 6).

Length of side AO = 6 units

Length of side OC = 3 units

Area of the rectangle = Length × Width

                                    = OC × AO

                                    = 3 × 6

                                    = 18 square units

Plssss help


Answer with one of these answers by looking at the photo PLSS try to get correct
(a) and (b)
Neither
Only (a)
Only (b)

Answers

Answer:

a

Step-by-step explanation:

because all top numbers can go into bottom numbers.

A is the correct answer

(4x-20) and (3x+14) they equal 155 what is X?​

Answers

Answer:

x = 23

Step-by-step explanation:

all you have to do is follow the rules of PEMDAS and treat it like a normal equation of order of operations;

please help this is due at 11

Answers

me at 1:36pm: oh no,  i hope he got his answer

Gears A and B work together. Gear A turns 30 times when Gear B turns 45 times. When Gear B turns 12 times, how many times does Gear A turn?

HELP ME PLZ I BEG OF YOU!?!

Answers

Answer:

8

Step-by-step explanation:

Two dice are rolled; find the probability for total: a) 1, b) 4 or 6; c) <13

Answers

50%
.......................

helppppppppp pleaseee​

Answers

Answer: 1 10/39

Step-by-step explanation:

Javier had 305$ in his bank account his bank charges a fee 7.50$ each month that balance is below 500$ if he makes no that with draws how much money is in Javier bank account at the end of the 3 months

Answers

282.50$ because 7.50x3= 22.50. 305-22.50= 282.50$

The entire graph of the function fis shown in the figure below.
Write the domain and range of fusing interval notation.
(a) domain=
(B) range=

Answers

The domain and the range of the function are given as follows:

a) Domain: -3 ≤ x < 4.

b) Range: -4 < y ≤ 5.

What are the domain and the range of a function?

The domain of a function is the set that contains all the values of the input.The range of a function is the set that contains all the values of the output.

In a graph:

The domain is given by the x-values, the horizontal axis.The range is given by the y-values, the vertical axis.

Hence, for the graphed function:

a) Domain: -3 ≤ x < 4.

b) Range: -4 < y ≤ 5.

More can be learned about the domain and the range of a function at https://brainly.com/question/10197594

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help pls!!!
A ball is launched upwards from a height of 4 feet. The ball’s height as a function of time, in seconds, is modeled by the function h(t)= -16t^2+80t+4. What is the time interval in which the ball has a height greater than 100 feet?

Answers

Answer:   2 < t < 3

This is between 2 and 3 seconds, excluding both endpoints.

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

Explanation:

t = elapsed time in seconds

h(t) = height of the ball at time t

Replace h(t) with 100. Then get everything to one side.

[tex]h(t)= -16t^2+80t+4\\\\100= -16t^2+80t+4\\\\0 = -16t^2+80t+4-100\\\\0= -16t^2+80t-96\\\\-16t^2+80t-96 = 0[/tex]

Next, we'll use the quadratic formula to isolate t.

Plug in a = -16, b = 80, c = -96 which are the coefficients of the last equation mentioned above.

[tex]t = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\t = \frac{-80\pm\sqrt{(80)^2-4(-16)(-96)}}{2(-16)}\\\\t = \frac{-80\pm\sqrt{256}}{-32}\\\\t = \frac{-80\pm16}{-32}\\\\t = \frac{-80+16}{-32} \ \text{ or } \ t = \frac{-80-16}{-32}\\\\t = \frac{-64}{-32} \ \text{ or } \ t = \frac{-96}{-32}\\\\t = 2 \ \text{ or } \ t = 3\\\\[/tex]

Therefore, the ball's height is greater than 100 ft in the air for the interval [tex]2 < t < 3[/tex]

This is between 2 and 3 seconds, excluding both endpoints.

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

Check:

Let's plug in t = 2 to find that...

[tex]h(t)= -16t^2+80t+4\\\\h(2)= -16(2)^2+80(2)+4\\\\h(2)= -16(4)+80(2)+4\\\\h(2)= -64+160+4\\\\h(2)= 100\\\\[/tex]

You should find that h(3) = 100 as well. I'll let you do those steps.

Since h(2) = 100 and h(3) = 100, this confirms the two solutions we found earlier.

If basketballs cost $18.00 each, how much will 3 basketballs cost in all?


Pls help meee

Answers

umm

18.00 x 3 = 54

$54.00

BIG POINTS please help me

Answers

Answer:

I would C because it is in the middle of 20 and 40

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

xqdfhsisdlifjbosiuhodijxcn

Answers

Xqffhsisdlosnsnamdjallaksb

Step-by-step explanation:

ummmm ok then hahaha :)

3(x – 2) = 3x + 4 solve for X

Answers

Answer:

The answer is: Use a calculator.

Step-by-step explanation

With the calculator you are able to do ANY problem.

Answer: There is no solution.

Step-by-step explanation:

Simplify both sides of the equation

subtract 3x from both sides

add 6 to both sides

0=10

The answer is - there are no solutions

Consider the sequence 2,9,16,23,30 state the smallest prime number from this sequence.

Answers

Answer:

Step-by-step explanation:

The answer is 2 because 2 is a prime number

Help please! I’ll give brainliest!

Answers

Answer:

y= -2(-6) +5

y= 12+5

y= 17

y= -2(-3) +5

y= 6 +5

y= 11

y= -2(0) +5

y= 0+5

y=5

y= -2(3) +5

y= -6 +5

y= -1

How oils the following triangle be classified ?
A. Isosceles acute
B. Scalene acute
C. Scalene Antier
D.isosceles obtuse

Answers

B. Scalene acute

the triangle has all different sides and are all less than 90 degrees
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