Which of the following statements is true
regarding the solutions to the quadratic
equation 5x2 + 6x + 2 = 0?

Answers

Answer 1

Answer:

  c. This quadratic equation has two complex solutions.

Step-by-step explanation:

Of the choices ...

  a. This quadratic equation has exactly one real solution.

  b. This quadratic equation has two real solutions.

  c. This quadratic equation has two complex solutions.

  d. This quadratic equation has no solutions.

The one that is true is c: two complex solutions.

__

The discriminant of quadratic ax^2 +bx +c = 0 is ...

  d = b^2 -4ac

For this quadratic, the value is 6^2 -4·5·2 = -4.

When the discriminant is positive, there are two distinct real solutions.

When the discriminant is zero, there is one real solution.

When the discriminant is negative, there are two complex solutions. The discriminant of this quadratic is negative, so there are two complex solutions.


Related Questions

Simplify. 2 × (3 – 1) + 3

Answers

The answer would be 7

How many obtuse angles can a triangle have?


Answers

Answer:

one

Step-by-step explanation:

1 obtuse angle maximum

What is the least to greatest

Answers

Answer:

2nd one

Step-by-step explanation:

life's a gamble

please help please

(-1)(-1)(-1)=

Answers

Answer:

the answer of this is : (-1)

What is the interest you will pay if you borrowed $5,400 at 6% interest for 1 year

Answers

I dont really know how to give an explanation in detail but the answer is 32.40

5400 x .06 x 1

(turn the percent into a decimal)

The interest should be paid for 1 year is $324.

What is the Formula for Simple Interest?

The formula for Simple Interest

SI = ( PRT)/100

where, P- Principal

R- Rate

T- Time

Given:

P = $5400

R= 6%

T= 1 year

So, Simple Interest

= PRT/100

= 5400 x 6 x 1 /100

= $324

Hence, the interest should be paid for 1 year is $324.

Learn more about Simple Interest here:

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Which conditional statement is true?
If it is a table, it has four legs.
If it is Wednesday, it is a weekday.
If it has printed words, it is a book.
If it is a month, it has thirty-one days.

Answers

Answer:

if it is wednesday, it is a weekday.

Step-by-step explanation:

not all tables have 4 legs, not all printed words are in books, not all months have 30 days.

Caleb is at the grocery store and plans on buying cans of soup and frozen dinners, but
is concerned about their sodium content. Each can of soup has 500 mg of sodium and
each frozen dinner has 650 mg of sodium. How many milligrams of sodium are there
in 3 cans of soup and 4 frozen dinners? How many milligrams of sodium are there in
c cans of soup and f frozen dinners?

Answers

Answer:

Look at the step by step

Step-by-step explanation:

3 cans of soup: 1500 mg of sodium

4 frozen dinners: 2600 mg of sodium

together they are 4100 mg of sodium

How many milligrams of sodium are there in  c cans of soup: [tex]500c[/tex]

How many milligrams of sodium are there in  f frozen dinners: [tex]650f[/tex]

There is 4100 mg of sodium together in 3 cans and 4 frozen dinner. 500c milligrams of sodium is there in  c cans of soup and 650f milligrams of sodium is there in f frozen dinners

What is Expression?

An expression is combination of variables, numbers and operators.

Each can of soup has 500 mg of sodium and

each frozen dinner has 650 mg of sodium

1 can =500mg

frozen dinner = 650 mg

3 cans=3(500)=1500 mg

4 frozen dinner = 4(650) mg=2600 mg

Together there is 1500+2600= 4100 mg of sodium

500c milligrams of sodium is there in  c cans of soup

650f milligrams of sodium is there in  f frozen dinners

Hence, there is 4100 mg of sodium together in 3 cans and 4 frozen dinner. 500c milligrams of sodium is there in  c cans of soup and 650f milligrams of sodium is there in f frozen dinners

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If you could see my teacher wrote the answer on the right but he wants me to say how he figure it out

Answers

Step-by-step explanation:

since there are five digit after1 so the power is 5 and the is the number 2 which is multiplied to each and after that the number 0is there which makes 4 number left and so on until the power is zero

14) ¿Cuántos cubos de 1 cm por lado caben dentro de otro cubo que mide por lado 2cm?

Answers

Answer: 8

Step-by-step explanation:

Ok, el volumen de un cubo de lado L es:

V = L^3

Entonces, el volumen de un cubo de 1cm por lado es:

V = (1cm)^3 = 1cm^3

Y el volumen de cubo cuyos lados miden 2cm es:

V' = (2cm)^3 = 8cm^3.

Ahora, la cantidad de cubos chicos que van a entrar en el cubo grande es igual al cociente entre sus volúmenes:

V'/V  = (8cm^3)/(1cm^3) = 8

Entran 8 cubos de 1 cm por lado en un cubo de 2cm por lado.

Its pitcher is shaped like a cylinder with a radius of 1 centimeter and a height of 7.8 cm. What's this pitcher plant's approximate volume?​

Answers

Answer:

The pitcher plant's approximate volume is 24.492 [tex]\text{cm}^{3}[/tex].

Step-by-step explanation:

We are given that a  pitcher is shaped like a cylinder with a radius of 1 centimeter and a height of 7.8 cm.

Let the radius of a cylinder = r = 1 cm

and the height of a cylinder = h = 7.8 cm

As we know that the volume of a cylinder is given by;

The volume of a cylinder = [tex]\pi r^{2}h[/tex]

                           = [tex]3.14 \times 1^{2} \times 7.8[/tex]  {taking approximate value of [tex]\pi[/tex] to be 3.14}

                           = [tex]3.14 \times 7.8[/tex]

                           = 24.492 [tex]\text{cm}^{3}[/tex]

Hence, this pitcher plant's approximate volume is 24.492 [tex]\text{cm}^{3}[/tex].

Steven needs to help a truck containing box's filled with video consoles.He wants to determine the time required to unload the truck.Which quality will help Steven to determine the time required

Answers

Answer:

3 to 4 hours

Step-by-step explanation:

There are different sizes trucks that are used for transportation of boxes. The time to unload a truck depends on its size and the weight of boxes. If the boxes are heavy then it will require more time to unload a truck. Steven has 24" truck with boxes which contain video consoles. The video consoles are not really heavy and the boxes are easy to lift. Steven will be required  to 4 hours to unload the truck.

Simone got 3/4 of a full bar of chocolate. Aly was supposed to get 1/4 of the full chocolate barshe has to get her share from Simone. What fraction of Simone's chocolate should Aly get? Make a math drawing that helps you solve this problem.

Answers

Answer:

4/8thes

Step-by-step explanation:

solve 12x + k = c for x and what are the steps?

Answers

Answer:

[tex] \huge \orange { \boxed{x = \frac{c - k}{12} }}[/tex]

Step-by-step explanation:

12x + k = c

Step 1: transfer k on right side

12x = c - k

Step 2: Divide both side by 12

[tex] \frac{12x}{12} = \frac{c - k}{12} \\ \huge \red{ \boxed{x = \frac{c - k}{12} }}[/tex]

Solve for x: 4 - (x + 2) < -3(x + 4) A. x < -7 B. x > -7 C. x < -9 D. x > -9​

Answers

Answer:

C is the answer

Step-by-step explanation:

Which of the following ordered pairs is not a solution of the system of inequalities? y > x2 – 4x – 5 y < –x2 – 5x + 6 Question 62 options: A) (1, 7) B) (1, –7) C) (1, –5) D) (–1, 6)

Answers

Answer:

a) (x, y) = (1, 7)

Step-by-step explanation:

Let be the following system of inequalties:

[tex]y > x^{2}-4\cdot x -5[/tex]

[tex]y < -x^{2}-5\cdot x +6[/tex]

We can find the right option by evaluating each option in the system of inequalities:

a) (x, y) = (1, 7)

[tex]7 > 1^{2}-4\cdot (1) -5[/tex]

[tex]7 < -1^{2}-5\cdot (1) +6[/tex]

Then,

[tex]7>-8[/tex] (TRUE)

[tex]7<0[/tex] (FALSE)

(1, 7) is not a solution of the system of inequalities.

b) (x, y) = (1, -7)

[tex]-7 > 1^{2}-4\cdot (1) -5[/tex]

[tex]-7 < -1^{2}-5\cdot (1) +6[/tex]

Then,

[tex]-7 > - 8[/tex] (TRUE)

[tex]-7< 0[/tex] (TRUE)

(1, -7) is a solution of the system of inequalities.

c) (x, y) = (1, -5)

[tex]-5 > 1^{2}-4\cdot (1) -5[/tex]

[tex]-5 < -1^{2}-5\cdot (1) +6[/tex]

Then,

[tex]-5 > - 8[/tex] (TRUE)

[tex]-5< 0[/tex] (TRUE)

(1, -5) is a solution of the system of inequalities.

d) (x, y) = (-1, 6)

[tex]6 > (-1)^{2}-4\cdot (-1) -5[/tex]

[tex]6 <(-1)^{2}-5\cdot (-1)+6[/tex]

Then,

[tex]6>0[/tex] (TRUE)

[tex]6 < 12[/tex] (TRUE)

(-1, 6) is a solution of the system of inequalties.

Therefore, we conclude that correct answer is A.

Answer:

Its Not (1,7) i took the test and missed it

Step-by-step explanation:

Compare and contrast XY with XY.
XY
XY
Represents a distance
Represents a segment
O
O
Represents a numerical value
1
Represents a geometric figure
Can be found by applying the ruler postulate
Can be duplicated with a compass and straightedge
O

Answers

Answer:

[tex]{}[/tex]                                                                                                    XY                [tex]\overline {XY}[/tex]

Represent a distance [tex]{}[/tex]                                                                 √

Represent a segment [tex]{}[/tex]                                                                                     √

Represent a numerical value [tex]{}[/tex]                                                     √

Represent a geometric figure                                                                           √

Can be found by applying the ruler postulate  [tex]{}[/tex]                         √

Can be be duplicated with a compass and a straight edge                          √

Step-by-step explanation:

The difference between XY and [tex]\overline {XY}[/tex] are that the points XY represents the distance between two points having a numerical value whose value can be found by using a ruler to find difference in the numbers on the ruler that coincides with the points, while

Each expression with the appropiate property:​

Answers

commutative property of multipication

helpppp

8(6-x)/7 = -x

Answers

Answer:

[tex]x=48[/tex]

Step-by-step explanation:

[tex]\displaystyle{\frac{8(6-x)}{7}={-x}}[/tex]

Multiply both sides by 7:

[tex]\displaystyle{8(6-x)=-7x}[/tex]

Distribute the left side:

[tex]\displaystyle{48-8x=-7x}[/tex]

Add 8x to both sides:

[tex]48=x[/tex]

Does anyone know how to do this one

Answers

It’s (-5,-2) You can figure this out by going to the left 5 times which is negative so -5. And going down on a graph is negative so down 1 means -1 so you add the -1 to the other negative one and now you have -2. So that is how you get the answer.

How do we multiply monomial times monomial?

A. Multiply the coefficients, Add the exponents

B. Multiply the coefficients, multiply the exponents

C. Add the coefficients, multiply the exponents

Answers

Answer:

A. Multiply the coefficients, Add the exponents

Step-by-step explanation:

To multiply monomials, multiply the coefficients, and add the exponents of the same variable.

Answer: A. Multiply the coefficients, Add the exponents

Answer:

a- multiply the coefficients, add the exponets.

Step-by-step explanation:

i already did it!

Please help. I will give brainliest and 77 points

Answers

Answer:

________________

I think it may be 31%

Answer:

50%

Step-by-step explanation:

There are a total of 640 fries.

40% of them are crispy. Therefore, let C be the amount of crispy fries:

[tex]C=0.4(640)=256[/tex]

Thus, the amount of soggy fries S would be:

[tex]S=640-256=384[/tex]

The total of the crispy fries and the soggy fries is the sum of the fries not on the floor and on the floor. Let F denote on the floor and let NF denote not on the floor. Thus:

[tex]C=C_F+C_{NF}[/tex]

C is 256:

[tex]256=C_F+C_{NF}[/tex]

Same thing for soggy fries S:

[tex]S=S_F+S_{NF}\\[/tex]

S is 384, thus:

[tex]384=S_F+S_{NF}[/tex]

We are told that 80% of the soggy fries are on the floor. Therefore:

[tex]S_F=0.8(384)=307.2[/tex]

This means that the amount of soggy fries not on the floor is:

[tex]S_{NF}=S-S_F\\S_{NF}=384-307.2=76.8[/tex]

We are given that 32% of all the fries are not on the floor. Therefore:

[tex]NF=0.32(640)=204.8[/tex]

The total amount of fries not on the floor is the sum of the amount of crispy fries and soggy fries not on the floor. Thus:

[tex]NF=C_{NF}+S_{NF}[/tex]

We know that NF is 204.8 and that S(NF) is 76.8. Substitute:

[tex]204.8=C_{NF}+76.8[/tex]

Subtract 76.8 from both sides:

[tex]C_{NF}=128[/tex]

This means that out of the 256 crispy fries, only 128 of them are not on the floor.

This means that the amount on the floor is 256-128, or also 128.

Thus, the percentage of crispy fries on the floor is:

[tex]=\frac{128}{256}=50%[/tex]

Our answer is 50%

Does anyone know where to plot this?

Answers

Answer:

(-3,1) becomes (1,-1)

(-4,7) becomes (0,5)

(-6,3) becomes (-2,1)

(-9,8) becomes (-5,6)

Step-by-step explanation:

just move every point 4 to the right and 2 down. once you plot the new points draw and connect

Is the following relation a function ? S = {(1,2),(2,2),(-2,2)} justify your answer

Answers

Answer:

              YES

Step-by-step explanation:

relation is a function if we have y for every x from domain and for one x we have one and only one y

x = 1  --> y = 2

x = 2 --> y = 2

x = -2 --> y = 2

no x-es without y-es

and no two the same x-es with one y

so this relation is a function

Aliza needs to run at a rate faster than 8.8 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He converts the average rate to feet per second as shown below: He concludes that she is not running fast enough to exceed her fastest time. \

Answers

Answer:

Answer: The question is a multiple choice so it's A and C:

Answer:

He used an incorrect time ratio converting hours to minutes.

He incorrectly concluded that she is not running fast enough.

Sara is trying to build the number 0.140 with base ten blocks. She has thousandths blocks, hundredths blocks, and NO tenths blocks. How can she represent 0.140?

Answers

Answer:

0.140 is represented using 40 thousandth blocks and 100 hundredth blocks

Step-by-step explanation:

Base 10 blocks are blocks in set of four which can be used together to represent any number. Also base 10 blocks can be used to perform mathematical computations like addition, subtraction, addition, division, area and many more.

We have to represent 0.140 using hundredths and thousandths blocks.

0.140 = 140 × 10⁻³ = 40 × 10⁻³ + 100 × 10⁻²

10⁻³ represents the thousandth block and 10⁻² for the hundredth. Hence:

0.140 = 140 × 10⁻³ = 40 × 10⁻³ + 100 × 10⁻²  = 40 thousandth + 100 hundredth

0.140 is represented using 40 thousandth blocks and 100 hundredth blocks

Find the value of X in the equation below.

g=xc​

Answers

Answer:

g/c = x

Step-by-step explanation:

g= xc

/ c

g/c = x

isolate x by dividing out c

Compute the distance between the 2 points (-3,4) and (21,11)

Answers

The distance between the two points is 2

Esme buys jacketsfor 500 each and prices them for 700 each.If the selling price is reduced by 20%. how much profitdoes Esme make on each items .​

Answers

Answer:

($) 60 is the profit per item when the selling price is reduced by 20%

Step-by-step explanation: 20% of 700 is 140.

The original profit is 700 - 500 = 200. The selling price is 140 less, Subtract 140 from 200. That leaves a profit of 60. (Not necessarily dollars, as the currency was not given in the question.)

46% of 125.7 is what?
a. 1.22
b. 57.8
C. 5782.2
d. 273.3

Answers

Answer:

B. 57.8

Step-by-step explanation:

Changing 46% to a decimal it would be 0.46

125.7 * 0.46 = ?

125.7 * 0.46 = 57.822

57.822 rounds to 57.8 which is answer B.

Answer:

It's 57.823

Step-by-step explanation:

I looked it up lol

Write an equation of a line in point-slope and slope intercept form that passes through the point (1, -8) and is perpendicular to the line: 2x-4y = -11

Answers

Answer:

11y-2x= -90

Step-by-step explanation:

for the point (1,-8)

x=1 and y= -8

for the equation,

2x -4y= -11

x= -1/m

m= -1/x

x = -1/ (-11/2 )

m= 2/11

so for the equation,

y-y1= m(x- x1)

y- -8=2/11(x-1)

11(y+8)= 2(x-1)

11y +88= 2x-2

11y-2x= -90

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