Mathematics College

find all complex solutions of 5x^2+5x+4=0

Answers

Answer 1

Answer:

-1/2 + i/10 sqrt(55) , -1/2 - i/10 sqrt(55)

Step-by-step explanation:

5x^2+5x+4=0

a=5 b= 5 c=4

Using the quadratic formula

-b ± sqrt( b^2 -4ac)

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

-5 ± sqrt( 5^2 - 4(5)(4))

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

2(5)

-5±sqrt( 25 - 80)

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

-5± sqrt(-55)

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

-5/10 ± 1/10 i sqrt(55)

-1/2 + i/10 sqrt(55) and -1/2 - i/10 sqrt(55)

Answer 2

Answer:

x= -5 ± i√55 / 10

Step-by-step explanation:

hope i helped

Related Questions

Which of the following statements are true? Select all that apply.

A. ∠3 ≅ ∠2 because they are alternate interior angles.
B. m∠1 + m∠3 = 180° because they form a straight angle.
C. ∠3 ≅ ∠6 because they are alternate interior angles.
D. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.

Answers

The true statement are

2. <1 + <3 = 180 because form a straight angle.

3. ∠3 ≅ ∠6 because they are alternate interior angles.

4. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.

What are parallel lines?

Two lines in a plane are said to be parallel if they do not intersect when extended infinitely in both directions.

Two lines cut by a transversal line are parallel if the corresponding angles so formed are equal. In general, the corresponding angles are in relative positions and lie along the same side of the transversal.Two lines cut by a transversal line are parallel if the alternate interior angles so formed are equal. In general, the pairs of the alternate interior are found in the inner side but lie on the opposite sides of the transversal.Two lines cut by a transversal line are parallel if the alternate exterior angles so formed are equal. In general, the pairs of alternate exterior angles are found on the outer side but lie opposite each other.

As, from the figure

1. <3 = <2 because of vertically opposite angle.

Hence, it is false

2. <1 + <3 = 180 because form a straight angle.

Hence, it is true.

3. ∠3 ≅ ∠6 because they are alternate interior angles.

Hence, it is true.

4. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.

Hence, it is true.

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How many minutes does it take for the goose to fly 1 mile if it takes 6 minutes to fly 18 miles

Answers

Answer:

1/3 minutes

Step-by-step explanation:

We can write a ratio to solve

6 minutes x minutes

---------------- = ------------------

18 miles 1 mile

Using cross products

6 * 1 = 18 x

6 = 18x

Divide each side by 18

6/18 = 18x/18

1/3 = x

1/3 minutes

What is the slope of this graph?

a.4

b.−4

c.14

d.−14

Answers

Answer:

Step-by-step explanation:

just look at where the line crosses the coordinate plane

-1⅓ + 2⅓ what is answer

Answers

The answer to -1 1/3 + 2 1/3 is 1

Ok done. Thank to me :>

Compare the quantities in Column A and Column B.
Column A
Column B
the y-intercept of the the y-intercept of the
line for the equation line for the equation
2y = 3x - 4
4x-2y=4
[A] The quantity in Column A is greater. [B] The quantity in Column B is greater.
[C] The quantities are equal.
[D] The relationship cannot be determined from the information given.

Answers

The y-intercept of [tex]2y = 3x - 4[/tex] and the y-intercept of [tex]4x - 2y=4[/tex] are equal

The equations are given as:

[tex]2y = 3x - 4[/tex]

[tex]4x - 2y=4[/tex]

Make y the subject in both equations

First equation

[tex]2y = 3x - 4[/tex]

[tex]y = \frac 32x - 2[/tex]

Second equation

[tex]4x - 2y=4[/tex]

[tex]y = 2x - 2[/tex]

A linear equation is represented as:

[tex]y = mx + b[/tex]

Where b represents the y-intercept

So: By comparison,

[tex]b_1 = 2[/tex] --- the y-intercept of the first equation

[tex]b_2 = 2[/tex] --- the y-intercept of the second equation

2 = 2.

Hence, the y-intercept of [tex]2y = 3x - 4[/tex] and the y-intercept of [tex]4x - 2y=4[/tex] are equal

Answers

Answer:

27.8%

Step-by-step explanation:

[tex]\frac{32.5}{45} =0.722[/tex]

0.722 = 72.2%

The % reduction is:

(100-72.2)% = 27.8%

Hope this helps

Heres an easy question. Solve this.
[tex]\frac{1}{5}[/tex]y = 10

Answers

Answer:

y=50

Step-by-step explanation:

[tex]\frac{1}{5}[/tex]y=10

y=10÷[tex]\frac{1}{5}[/tex]

=50

Find the perimeter of the rectangle whose: length = 1m, breadth = 75cm

Pls all answer fast PLS

Answers

Length of the rectangle = 1 mBreadth of the rectangle = 75 cm = 0.75 mWe know, perimeter of a rectangle = 2(length + breadth)Therefore, perimeter of the rectangle= 2(1 + 0.75) m = 2(1.75) m = 3.5 m

Answer:

The perimeter of the rectangle is 3.5 m or 350 cm.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Need help fast worth 20 points
Select the correct answer.
Which set of absolute values is compared correctly
OA. 1-10] < |-5| < |17| < 151
OB. 1-5| > |-10| > |-12| > |17||
OC. |10| > |-15] > [-5| > 12||
OD. |-101 < [12] < |-15| < |17||

Answers

Answer:

i think its b.

Step-by-step explanation:

correct me if im wrong. and it was worth 10 points instead of 20.

Prime number after

167, 118, 82, 57, 41, ?

Answers

Prime numbers after 167, 118, 82, 57, 41, are:

37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2

Prime numbers are numbers that only have two factors, 1, and themselves.

Apart from these factors, no number can divide them without a remainder.

By observation, the numbers 167, 118, 83, 57, 41, are written in descending order.

This means that the prime number to be chosen will be lesser than 41

Prime numbers lesser than 41 are:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37

Learn more on prime numbers here: https://brainly.com/question/145452

Casey borrowed $4500 at a 5% interest rate for 4 years.
What was the total interest?
Enter your answer in the box.
Hint: Use the formula I=P*R*T where
I= Interest Earned/Owed
P= Principal
R= Rate
T= Time
PLEASE HURRYYYY!

Answers

I = P x R x T

I = $4500 x 5% x 4

5% = .5

4500 x .5 x 4 = 9,000

I think this should be correct .

Describe how to find your x-intercepts ?

Answers

The y-intercepts are points where the graph of a function or an equation crosses or “touches” the y-axis of the Cartesian Plane. You welcome!

Which choices are equivalent to the expression below? Check all that apply.
5/3
I A. 75
]
B. v3.15
I C. 75
O D. 125. 3
IE. 45
0 F 15.15

Answers

Answer:

ADF

Step-by-step explanation:

A.root 75=root25 xroot3=5root3

B.=root15

C=75

D=5root3

E:=root9xroot5=3root5

F=root5xroot5xroot3=5root3

The solution is Option A , Option D , Option F

The values of the equations are √75 , √25 x √3 and √15 x √5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 5√3 be equation (1)

On simplifying the equation , we get

The value of A = √ ( 5 )² ( 3 )

The value of A = √25 x √3

The value of A = √75

The value of A = √15 x √5

Hence , the values of the equations are √75 , √25 x √3 and √15 x √5

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[tex]5/4+3/4+1/4=[/tex]

Answers

5/4 + 3/4 + 1/4

=9/4

= 2 1/4

= 2.25

It takes 58 pounds of seed to completely plant a 9-acre field. How many acres can be planted per pound of seed?

Answers

Answer:

6 4/9

Step-by-step explanation:

You divide 58 and 8 and your answer would be 6.444444 repeating.

When divide f(x)=ax³+bx²+cx+d by (x+3), the remainder is 4, then what is the remainder when divide 2f(x)-6 by (x+3)?

Answers

Answer:

Step-by-step explanation:

When divide f(x)=ax³+bx²+cx+d by (x+3), the remainder is 4:

f(x) = m*(x + 3) + 4, where m is the quotient

Then 2f(x) - 6 is:

2[m(x + 3) + 4] - 6 = 2m(x + 3) + 8 - 6 = 2m(x + 3) + 2

As we see the remainder is 2

99 points

solve the system of equations by graphing

k12 test interim checkpoint 4

Answers

Answer:

Step-by-step explanation:

f ( x 2 − 3 x + 2 ) = − x 2 + 3 x + 3

NO LINKS!!

Which type of comic does not have vertices or foci?

Answers

Answer:

b) Circle

Step-by-step explanation:

All of the conic sections have vertices and foci. These features are not usually talked about for a circle, so perhaps "circle" is the expected answer.

A circle is a special case of ellipse with eccentricity 0. Its foci are coincident at its center, and its vertices are the ends of any pair of perpendicular diameters.

what is the exact value of tan(-π/3)?
A. -√3
B. -√3/3
C.√3/3
D. √3

Answers

[tex]\tan \left(-\dfrac{\pi}3\right)\\\\=-\tan \left(\dfrac{\pi}3\right)\\\\=-\sqrt 3[/tex]

3 movie tickets cost 36$. at this rate, the cost per ticket is $..

Answers

Answer: The cost per ticket is $12.

Step-by-step explanation:

Easy question about multiplication? unsure why not getting full marks

Answers

i think that you have forgot to divide at the end, like the first one would be 28 because you would divide by an estimate of 2

HELP ME OUT PLEASE!!!

Determine which graph shows y as a function of x.

Answers

bottom right graph. it’s the only one that passes the vertical line test, making it the only function

if (a+b)^2=54, and (a-b)^=46, then a^2+b^2=?

Answers

[tex](a+b)^2 =a^2 +b^2 + 2ab = 54~~~.....(i)\\\\(a-b)^2 = a^2 +b^2 -2ab = 46~~~.....(i)\\\\\\(i)+(ii):\\\\(a+b)^2 +(a-b)^2 = 54+46\\\\\implies a^2 +b^2 + 2ab + a^2 +b^2 - 2ab =100\\\\\implies 2a^2 +2b^2 =100\\\\ \\\implies 2(a^2 +b^2) =100\\\\\implies a^2 +b^2 = \dfrac{100}2 = 50[/tex]

Can someone solve this question ~
[tex] - 6 \: log_{3}(x - 2) = - 24[/tex]
[tex]ɴᵉᵉᵈ \: ɢᵉⁿᵘⁱⁿᵉ \: ᴀⁿˢʷᵉʳ[/tex]

Answers

[tex]\huge \sf༆ Answer ༄[/tex]

The value of x is ~

[tex] \sf \: 83[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve ~

[tex] \sf \: - 6 log_{3}(x - 2) = - 24[/tex]

[tex] \sf \: log_{3}(x - 2) = \dfrac{ - 24}{ - 6} [/tex]

[tex] \sf \: log_{3}(x - 2) = 4[/tex]

[tex]x - 2 = {(3)}^{4} [/tex]

[tex]x - 2= 81[/tex]

[tex]x = 81 + 2[/tex]

[tex]x = 83[/tex]

You're welcome spammy ~

The value of x from the given expression is 5

Laws of logarithm

Given the logarithm expression

[tex]-6log_3(x-2)=-24[/tex]

According to the law of logarithm, if [tex]log_ab=c, \ hence \ b= a^c[/tex]

Applying this law to the given question, we can see that:

[tex](x-2)^{-6}=3^{-24}\\(x-2)^6=3^{24}\\(x-2)^6=3^6\\[/tex]

Cancel out the exponents to have:

x - 2 = 3

x = 2 + 3

x = 5

Hence the value of x is 5

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Question 3 of 10
Find tan 0

Answers

[tex]\tan \theta = \dfrac{\text{Opposite side}}{\text{Adjacent side}} = \dfrac{16}{12}[/tex]

Estimate the quotient. 2,506 / 2

Answers

Answer:

1253

Step-by-step explanation:

2500/2 is 1250.

so 2506/2 will be a bit above.

1253 is an estimate

If you have to fly from JFK airport in New York to LAX airport in Los Angeles, you will fly 2,475 miles. If the average amount of time for a plane to fly from JFK to LAX is 5 hours and 30 minutes, what is the average speed that a plane flies on this trip? Include the appropriate units.

Answers

Answer:

450 miles / hour or 201.17 meters/second

Step-by-step explanation:

Speed = distance / time

Distance = 2475 miles

Time = 5 hours and 30 minutes

I will solve this in both miles per hour and meters per second and I am unaware of the appropriate units for your class.

Since 30 minutes = 1/2 an hour, 5 hours and 30 minutes = 5.5 hours

2475 miles / 5.5 hours = 450 miles / hour

1609.34 meters = 1 mile

3600 seconds = 1 hour

450 miles / hour * 1609.34 meters/1 mile * 1 hour/3600 seconds = 201.1675 meters/second (can round to 201.17)

Note that when multiplying, I am simply multiplying the result by 1. Since

1609.34 meters = 1 mile , 1609.34 meters/1 mile = 1 if I divide both sides by 1. Because I multiply by 1, the number is still the same. In terms of the numerator and denominator, I choose which is which by analyzing which units should cancel out. For example, I multiply by 1 hour/3600 seconds because in miles/hour, hour is on the bottom, and hour is on the top in hours/seconds.

Henry goes to the carnival with 3
friends. They each ride 5 rides at
$5.50 per ride. Two of them buy an
ice cream cone for $2.00 each. Henry
buys a hot dog for $4.00 and his
friend has a hamburger for $3.00.
Each of the 4 friends buys a drink for
$1,75. What is the total amount they
spend at the fair?

Answers

Answer:

$5.50 x 5 = $27.5

$27.5 x 4 = 110$

$2.00 x 2 = $4.00

$4.00

$3.00

$1.75 x 4 = 7$

27.5 + 110 + 4.00 + 4.00 + 3.00 + 7 = 155.5

Step-by-step explanation:

can you me as brainliest if its right?\

my first answer was wrong

3 x 5 = 15 rides
15 x 5.50 = $82.50
2 x 2 = $4
+ $2
+ 3
4 x 1.75 = $7
= $98.50
that’s what i got

What is the opposite of 3.5? Write your answer as a decimal

Answers

The opposite of 3.5 is -3.5

A fair coin is tossed four times. What is the probability of obtaining at least three tails?

Answers

The probability of obtaining at least three tails is; 5/16

When tossing a coin four times, the number of possibilities since one is either a tail or head is;

Total number of possibilities = 2⁴ = 16

Now, various ways of getting at least three tails are;

TTTH, TTHT, THTT, HTTT, and TTTT.

This is a total of 5 different ways.

Thus;

P(obtaining at least 3 tails) = 5/16

Read more about probability when a coin is tossed at; https://brainly.com/question/1334780

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