X^2+2x+1=4 complete the square

Answers

Answer 1

Answer:

[tex] {x}^{2} +2 x + 1 = 4 \\ {(x + 1)}^{2} = 4 \\( x + 1) = + 2 \: and \: (x + 1) = - 2 \\ \boxed{x = 1 \: and \: x = - 3}[/tex]

x= 1 or x= -3 is the right answer.

Related Questions

Marla bought 1250 pounds of pecans at $1.29 per pound and another 1500 pounds of pecans at $1.59 per pound. She sold all the pecans for \$6.75 per kilogram. After paying her suppliers, how much money did she make?

Answers

Answer:

After paying her suppliers, she made $4,575.

Step-by-step explanation:

First, you have to multiply the number of pounds purchased for the price:

$1.29*1250=$1,612.5

$1.50*1500=$2,250

Now, you can add both amounts to find the total cost:

$1,612.5+$2,250=$3,862.5

Now, you have to find the total amount of lb purchased and determine the kg they represent given that 1 kg is equal to 2.20 lb:

1250+1500=2750

2.20 lb  →  1 kg

2750 lb →    x

x=(2750*1)/2.20= 1250 kg

Now, you can find the total amount sold by multiplying the price per kilogram for the amount of kg:

$6.75*1250=$8,437.5

Finally, you have to subtract the total cost from the total amount sold:

$8,437.5-$3,862.5=$4,575

According to this, the answer is that after paying her suppliers, she made $4,575.

Which algebraic expression represents this mathematical statement? 32 more than a number

A. m
B. s
C. d
D. x

Answers

A.m which is an algebraic expression represents the mathematical statement 32 more than a number

Find the y-intercept of the graph

Answers

Answer:

The y intercept is zero

Step-by-step explanation:

Show if 2 is a SOLUTION or NOT a SOLUTION to the equation 0.5(x + 0.8) = 1.4

Answers

Step-by-step answer:

0.5(x+0.8)=1.4

0.5x+0.4=1.4

0.5x+0.4-0.4=1.4-0.4

0.5x=1

0.5x/0.5=1/0.5

x=2

Plzzzzz give me Brainliest!!!!!  


If 2+√2 and 2-√2 are the roots of the quadratic equation
-3x²+11x +c=0, find the value of c. The ans is -6,may you show me the steps?

Answers

hope it will help you..........

The area of a circle will _____ be larger than the area of a polygon circumscribed about the circle.

always
often
sometimes
never

Answers

The area of a circle will SOMETIMES be larger than the area of a polygon circumscribed about the circle.

Non linear??????????

Answers

Answer:

Yes. That is correct

Step-by-step explanation:

yes. that is right


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– 2y – 10 = x
- 10x - y = -14

Answers

Answer:

hey there guys ^^

Step-by-step explanation:

what is 11^0 x 5x - 789

X=6

Answers

I think is -4729x I use symbolab

Answer:

-759

Step-by-step explanation:

Any number powered by 0 equals to 1, so the equation then becomes 1 × 5x - 789, but then x is 6, so it's 30 - 789, which is -759.

Write the equation of the line with the slope =5 and that goes through point (3,-5)

Answers

Answer:

[tex]y=5x-20[/tex]

Step-by-step explanation:

Point-slope form.

[tex]\frac{y-(-5)}{x-3} = 5\\y+5 = 5x-15\\y=5x-20[/tex]

Solve And Graph 12 + 6 _> 42

Answers

Answer:

Steps

12+6>42

simplify

18>42

There for the solution us FALSE

Omar has a new credit card. He earned 300 reward points for every 100 dollars he spends. If Omar earned 1800 reward points, how much money did he spend?

Answers

$600
1800 divided by 300= 6
Just out 2 zeros behind the 6 and u have 600

for a field trip a bus company charges a flat fee plus an additional fee per student. for 25 students, the total cost is $200, if there are 30 students, the total cost is $230. write an equation in point slope form,where y repersents a cost for any given number of x students

Answers

Answer: The answer is 8

Step-by-step explanation: 8 x 25 =200

Apple jack are the best

what is the solution of x in 2-3(6-2x)=1/2(10x-8)

Answers

Answer:

answer is 12

....

.

.

...

.

. :-)))

A real estate agency an agent salty house for 313,000. The commission rate is 4.5 for the real estate agency in the commission rate for the agent is 20% of the amount the real estate agent gets. How much did the agency make on the house? How much did the agent earn in comission

Answers

Answer:

313000/100 X 4.5 = 14085

14085/100 X 20 = 2817

14085 - 2817 = 11268

agency = 11268

agent = 2817

12. Which of these is an algebraic
expression?
A 3 - 1.4
B 1.4 - 3
C 1.4 - n
D 1.4 + 3

Answers

Answer:

C.

Step-by-step explanation:

Hi there!

for an expression to be algebraic, there needs to be a variable.

The only option with a variable is c, with a variable of n.

I hope this helped!

When a ball is thrown into the air, it falls back to the round. What
causes this to happen?
A.The round shape of the ball.
B.The way the ball is thrown.
C.The force of air against the ball.
D.The force of gravity on the ball.

Answers

Answer:

force of gravity on the ball

Step-by-step explanation:

when you throw something up it will come down

Find the unit rate.
$11.40 for 6 gallons

Answers

Answer:

$ 1.90 for 1 Gallon

Step-by-step explanation:

11.40/6 = 1.90

another way you can show the answer is: $1.90/1 Gal.

Solve the following system of equations:
y=2x + 1
y = -x+4

x= ?
y=?​

Answers

Answer:

x= 1, y=3

Step-by-step explanation:

y= 2x +1

y= -x +4

Those two equation are in a system that means they need to be true in the same time. Just like I would say look for a car that is red and is a truck in this case we look for x and y is true that y = 2x+1 and is true that y= =x+4.

so y= 2x+1 but y is -x+4 so substitute

-x+4 = 2x +1,  add x on both sides

4= 2x+x +1, subtract 1 from both sides

4-1 = 2x +x, combine like terms

3 = 3x , divide both sides by 3

x=1

if x=1 we substitute in y= -1 +4 = 3

Helllp,??????????????

Answers

If the first question mark is 3 then the next is 13 than the next still 13 and the right one 26 and then lastly x is equally to 2
Or
3x+9+10x=33
13x+9=33
13x=26
X=2

1.
We want to solve the following system of equations using the substitution method.
Equation 1
y = 4x + 17
Equation 2
y = 2x + 7

First solve for x.

Answers

Answer:

2x + 7= 4x + 17

x=−5

What is the value − 3 1/4 ∙ 2 1/3

Answers

Answer:

the value of this is-217÷4 = -54.25

Help with his plz ASAP!!

Answers

Answer:

what do you need help on?

Plz help 2 more questions left

Answers

Answer:

1st ? -> -6x

2nd ? -> 4x

3rd ? from left -> 4x

4th ? -> 24

5th ? -> 6

A bridge spans a distance of 1012m. Large cables are attached to the tops of the towers, 45 m above the road. The road is suspended from the large cables by many smaller vertical cables. The smallest vertical cable measures about 1.5m. Determine a quadratic equation for the large cables.

Answers

Answer:

A quadratic equation for the large cables is [tex]f(x) = \dfrac{87 }{512072} \cdot x^2 + 1.5[/tex]

Step-by-step explanation:

The shape of the quadratic equation representing the large cables is a parabola

Taking the point of the smallest vertical cables as the vertex, (h, k) with coordinates, (0, 1.5), we have;

h = -b/(2·a)

∴ 0 = -b/(2·a), from which we have, b = 2·a × 0 = 0

k = 1.5 = c - (b²/(4·a) = c - (0/(4·a)) = c

∴ c = 1.5

The standard form of the quadratic equation, a·(x - h)² + k is therefore, given as follows;

f(x) = a·(x - 0)² + 1.5 = a·x² + 1.5

At the towers which are on either side of the bridge, when x = 1012/2 = 506, f(x) = y = 45

Therefore, we have;

45 = a·506² + 1.5

a = (45 - 1.5)/506² = 87/512072 ≈ 1.699 × 10⁻⁴

The quadratic equation for the large cables, f(x), can therefore be presented as follows;

[tex]f(x) = \dfrac{87 }{512072} \cdot x^2 + 1.5[/tex]

Sam bought a kite that he could do stunts with for $52. If he
paid $4.42 in sales tax, what was the sales tax rate?

Answers

Answer:

8.5%

Step-by-step explanation:

8.50% of 52= 4.42

What are the solutions of -1 <=x-3<4? help asap ​

Answers

I think the answer is -1=x-3<4

Solve 3x - 7 = 32
Plssss helpp

Answers

Answer:

x=13

Step-by-step explanation:

Move all terms that don't contain  x to the right side and solve.

Brainly plss

Answer:

x=13

Step-by-step explanation:

Solve the equation below for y.

12(y−8) = 14y−2

Answers

Answer:

y=-47

Step-by-step explanation:

12(y-8)=14y-2

12y-96=14y-2

-96=14y-2-12y

-96=2y-2

-96+2=2y

-94=2y

-94/2=y

-47=y

y=-47

Answer:

-47

Step-by-step explanation:

easy question. what’s the value of x :)))

Answers

5 it’s the answer
The correct answer



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