Solve the equation
x2 + 4x - 7 = 0
by completing the square.
Give your answers correct to 2 decimal places.

Answers

Answer 1

Answer:

x ≈ 1.32, x ≈ - 5.32

Step-by-step explanation:

Given

x² + 4x - 7 = 0 ( add 7 to both sides )

x² + 4x = 7

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(2)x + 4 = 7 + 4

(x + 2)² = 11 ( take the square root of both sides )

x + 2 = ± [tex]\sqrt11}[/tex] ( subtract 2 from both sides )

x = - 2 ± [tex]\sqrt{11}[/tex]

Thus

x = - 2 - [tex]\sqrt{11}[/tex] ≈ - 5.32 ( to 2 dec. places )

x = - 2 + [tex]\sqrt{11}[/tex] ≈ 1.32 ( to 2 dec. places )


Related Questions

Walter chrysler sells car engines. He receives a 11% commission on the first $50,000 in sales and 17% on anything over $50000. He had a good month and sold $225,000 worth of engines.(btw walter chrysler was a machinist who founded chrysler) How big was his check for the month?

A. 35250
B. 41522
C. 64000
D. 220000​

Answers

Answer:

I am not sure about this

Step-by-step explanation:

but it says big check for the month he gets 50000 and 11% commission

so it can not be B OR A

IT MOST BE HIGHEST I SUTRACT 50000 BY 225000 AND MY FINALLY ANSWER IS

220000 THAT IS MY ANSWER BUT I AM NOT SURE

drag each label to the correct location on the table. Classify text as CRT or LED. consumes less energy
uses liquid crystals
uses electron gun
heavier in weight
lighter in weight
consumes more energy
lifespan is approximately 60,000 hours
lifespan is approximately 43,800 hours

Answers

1.Led
2.CRT
3.CRT
4.Led
5.CRT
6.Led
7.CRT

Answer:

CRTs are: heavier in weight, they consume more energy, the lifespan is 43,800 hours, and they use electron guns.

LEDs are: lighter in weight, they consume less energy, the lifespan is 60,000 hours, and they use liquid crystals.

Step-by-step explanation: i took the test :)

10) g(n) = -21+ 3n; Find gl-6)
A) 152
B) -20
C) 1
D) 90

Answers

10) g(n) = -21+ 3n; Find gl-6)
A) 152
B) -20
C) 1
D) 90
Your answer would be B

If this helped can I please get brainliest

whats the slope of (-1,4) and (-2,5)

Answers

Answer:

m=-1

Step-by-step explanation:

Answer: m = -1

Step-by-step explanation: Use the slope formula to find the slope m.

Help me please!!!!

Adrienne and Suki simplified the expression -(8) - (-6). Their work is shown
below. *
Adrienne's Work
Suki's Work
-8-(-6)= -14
-8-(-6)=-2
A. Whose answer is correct?
B. Explain the error the other person made.
Your answer

Answers

Answer:

im pretty sure it would be -8-(-6)=-2 for the first one

Please please please quick quick quick

Answers

Answer:

y= -1/5x + 4/5  (The bottom answer)

Step-by-step explanation:

Sorry for the late response!

Good luck with the rest of your assessment!

If the value of x is 6 what is the value of y PIC included
PlEASE help hurry

Answers

Answer:

the value of y = 5

Step-by-step explanation:

help please anyone?
giving brainliestt

Answers

Answer:

School Y = 4 points

School X = 12 points

Step-by-step explanation:

school x=school y+8

school x=3 school y

x=y+8

x=3y

3y=y+8

2y=8

y=4

x=12

HELPPPPPPO‼️‼️‼️
Based on an analysis of the map, what conclusion can be drawn about the slave population in the colonies?

Answers

I may be wrong but my answer is

The slave population is high because of all of the growing crops and they need labor to grow more crops and harvest them. so of course there would be more slaves in those areas, with the most crops. So you can say the slave population in the colonies is high

Please help do tomorrow 2n^2+3n-10

Answers

Answer:

the answer for that would be 2n^2-7

PLEASE HELP! BRAINLIEST FOR THE CORRECT ANSWER!!!

Answers

Answer:

i think

Step-by-step explanation:

18:63

14:15

13:7

12:6

A school survey asked 120 fifth-graders what they bought to give as gifts for Mothers Day. The results are shown in the circle graph.

How many more fifth-graders bought clothes than bought perfume

Answers

Answer:

40

Step-by-step explanation:

Choose the scenario that could be represented by :
A. Five pounds of oats are divided equally among eight horses.
B. Five friends, share eight cookies equally.
C. An eight-hour bus trip is divided into five equal parts.
D. An eight-foot ribbon is cut into five equal pieces.

Answers

Answer:

The answer is A

Step-by-step explanation:

I took the test

Answer:

The answer is A

Step-by-step explanation:

I took the test too

Select the correct answer.
What is the factored form of b^3 − 1,000?

A. (b + 10)(b2 − 10b + 100)
B. (b − 10)(b2 + 10b + 100)
C. (b − 10)(10b2 + b + 100)
D. (b + 10)(10b2 − b + 100)

Answers

The factored form is B. (b-10)([tex]b^{2}[/tex]+10b+100)

(-1,1) and (0,4) are on the line what is the linear equation in standard form

Answers

Answer:

y-3x=4

Step-by-step explanation:

1-4/-1-0=3

1 = 3(-1)+b

1=-3+b

b=4

The equation of linear equation in standard form consisting points (-1, 1) and (0, 4) is,

⇒ y = 3x + 4

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (-1, 1) and (0, 4)

Now,

Since, The equation of line passes through the points (-1, 1) and (0, 4).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (4 - 1) / (0 - (-1))

m = 3 / 1

m = 3

Thus, The equation of line with slope 3 is,

⇒ y - 1 = 3 (x - (-1))

⇒ y - 1 = 3 (x + 1)

⇒ y - 1 = 3x + 3

⇒ y = 3x + 3 + 1

⇒ y = 3x + 4

Therefore, The equation of linear equation in standard form is,

⇒ y = 3x + 4

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

A

B

C

Neither of them

Answers

None of them are correct.

14 minus 40 divided by -2

Answers

Answer:

13

Step-by-step explanation:

what is the x-intercept of the graph of the function f(x) = x2 - 16x + 64?

Answers

Answer:

(8,0)

Step-by-step explanation:

$4 for
1
4
of a pie. What is the cost of a whole pie?

Answers

Answer:

$16

Step-by-step explanation:

1/4x4=1

So 4x4 = 16

16 because if 1/4 of the pie is 4 dollars u need 3/4 more which would be 12 dollars so if u add 12 plus 4 u get 16 so the answer is 16

h(n)=2n-1; find h(3y)

Answers

Answer:

The speed of a wave depends on the characteristics of the medium. For example, in the case of a guitar, the strings vibrate to produce the sound. The speed of the waves on the strings, and the wavelength, determine the frequency of the sound produced. The strings on a guitar have different thickness but may be made of similar material. They have different linear densities, where the linear density is defined as the mass per length,

μ

=

mass of string

length of string

=

m

l

.

In this chapter, we consider only string with a constant linear density. If the linear density is constant, then the mass

(

Δ

m

)

of a small length of string

(

Δ

x

)

is

Δ

m

=

μ

Δ

x

.

For example, if the string has a length of 2.00 m and a mass of 0.06 kg, then the linear density is

μ

=

0.06

kg

2.00

m

=

0.03

kg

m

.

If a 1.00-mm section is cut from the string, the mass of the 1.00-mm length is

Δ

m

=

μ

Δ

x

=

(

0.03

kg

m

)

0.001

m

=

3.00

×

10

5

kg

.

The guitar also has a method to change the tension of the strings. The tension of the strings is adjusted by turning spindles, called the tuning pegs, around which the strings are wrapped. For the guitar, the linear density of the string and the tension in the string determine the speed of the waves in the string and the frequency of the sound produced is proportional to the wave speed.

Hope it is helpful to you

Find the length of the missing side. The triangle is not drawn to scale

Answers

Answer:10

Step-by-step explanation:Use the Pythagorean theorem a^2 + b^2 = c^2, a is 8 and b is 6 so now you have 8^2 + 6^2 = C^2 this simplifies to 64 + 36 = c^2 those 2 numbers add up to 100 so C^2 is 100 then to get C you take the square root of 100 which is 10

The missing side 10.

Option C is the correct answer.

What is the Pythagorean theorem?

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

Applying the Pythagorean theorem.

c² = 6² + 8²

c² = 36 + 64

c² = 100

c = √100

c = 10

Thus,

The missing side is 10.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

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16) The zero of a polynomial ax+b (a is not zero) is

a/b
b/a
-a/b
-b/a​

Answers

Answer:

x = - [tex]\frac{b}{a}[/tex] ( a ≠ 0 )

Step-by-step explanation:

To find the zero, let the polynomial equal zero, that is

ax + b = 0 ( subtract b from both sides )

ax = - b ( divide both sides by a )

x = - [tex]\frac{b}{a}[/tex]

YALLL HELPPPPJSJSJSJ
Question 1 of 10
The 12 regional financial institutions that implement monetary policy in
different districts around the country make up the:
A. Federal Open Market Committee.
B. Federal Reserve Board of Governors.
C. Federal Reserve Expansionary Organization.
D. Federal Reserve banks.
SUBMIT

Answers

The 12 regional financial institutions that implement monetary policy in

different districts around the country make up the federal reserve banks.

What are federal reserve banks?

This federal reserve bank should hold the cash reserves and the loan should be made for the motives like depository institutions, currency circulation, and give the payment service to the various banks.

Hence, The 12 regional financial institutions that implement monetary policy in different districts around the country make up the federal reserve banks.

Learn more about bank here: https://brainly.com/question/15641418

Does this graph represent a function?

Answers

Answer:

no because it doesn't pass the line test

Step-by-step explanation:

twice the greater of two integers odd integers is 13 less than 3 times the lesser number. find the integers. what are the integers to this riddle?

Answers

Answer:

17 and 19

Step-by-step explanation:

n= lesser integer       n+2= greater integer

2(n+2) = 3n -13

2n +4  = 3n-13

n= 17

lesser number =17

The other greater  number = 19 (they are odd,so skipping 18)

19 x 2 = 38

17x3 - 13 =51-13 = 38

PLEASE HELP ASAP!!!!!!!!!!

Answers

Answer:

2 31/100

Step-by-step explanation:

What is 8.04 × 101? please answer qwestion

Answers

Answer:

812.04

Step-by-step explanation:

multiply the two to get this answer

Answer:

812.04

Step-by-step explanation:

Lin’s bike travels 100 meters when her wheels rotate 55 times. What is the circumference of her wheels?

____ m

Answers

Answer:

the circumference of her wheel is 1.81 m

Lin’s bike travels 100 meters when her wheels rotate 55 times.

here, n = 55 rotation and D = 100 meter.

Diameter is the distance bike travel

n is the number of times rotation

C is the circumference of the wheel

The ratio of the sides of a triangle is 3:4:5 and its perimeter is 48 inches. Find the length of the shortest side.

Answers

Answer:

12 inches

Step-by-step explanation:

3+4+5=12

48/12=4

3*4=12

what terms are equal to 32XY

Answers

Answer:

xy & 10xy.

Step-by-step explanation:

The original value is 32xy. Because it has the variable xy, you need to choose values with those same variables. This leaves xy and 10xy.

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