The roots of the equation 2x^2 + 4= 9x are imaginary?

Answers

Answer 1

The final statement is: The quadratic equations has real roots.

What are quadratic equations?

A quadratic equation can be written in the standard form as ax2 + bx + c = 0, where a, b, c are constants and x is the variable. The values of x that satisfy the equation are called solutions of the equation, and a quadratic equation has at most two solutions.

Given here: 2x²+4-9x=0

                    2x²-9x+4=0

                     2x²-8x-x+4=0

                     2x(x-4)-1(x-4)=0

                     (2x-1) (x-4) =0

  Therefore the roots of the equation are 1/2 and 4 which are not imaginary.

Hence, The quadratic equations has real roots.

Learn more about quadratic equations here:

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Related Questions

Please help extremely important!!

Answers

Sorry I’m not sure...

Rachel downloaded a movie at a constant speed.
After she downloaded 40% of the movie, the remaining download time was 40 seconds.
After she downloaded 40 mb, the remaining download time was 16 seconds.
Compute the total size of the movie (in mb) rounded to the nearest mb.

Answers

Answer:

The total weight of the file was 64 mb.

Step-by-step explanation:

Given that Rachel downloaded a movie at a constant speed, and after she downloaded 40% of the movie, the remaining download time was 40 seconds, while after she downloaded 40 mb, the remaining download time was 16 seconds, to determine the total size of the movie rounded to the nearest mb, the following calculation must be performed:

100 - 40 = 60

60% = 40 seconds

40 mb = 16 seconds left

16/40 = 4/10

60/40 = 1.5

1.5% for every 1 second of download.

16 x 1.5 = 24

40 + 24 = 64

Thus, the total weight of the file was 64 mb.

LOOK AT THE PHOTO PLS

Answers

Answer:

I'm think its parallel ||

While standing on a pier, Lynette saw a balloon floating 20 feet above her and a fish swimming 4 feet below the surface of the water.

Let 0 represent the water surface, and let the positive side of 0 represent position above the surface. Which number sentence correctly compares the distances of the balloon and the fish to the surface of the water?
A. |-4| < |20|
B. |-4| > |20|
C. |4| < |20|
D. |4| > |-20|

Answers

Answer:

I'd go with A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Please help, will mark brainliest. It is easy and urgent.
Given the figure below, how many planes contain the points Z,V, and Y

Answers

Answer:

2

Step-by-step explanation:

Naming with the vertex only won't work when there are multiple angles with the same vertex. True or False?

Answers

True
Extra characters

A sample of 12 joint specimens of a particular type gave a sample mean proportional limit stress of 8.55 MPa and a sample standard deviation of 0.76 MPa. (a) Calculate and interpret a 95% lower confidence bound for the true average proportional limit stress of all such joints. (Round your answer to two decimal places.) MPa

Answers

Answer:

95% of the lower confidence interval for the true average proportional limit stress of all such joints

7.7829

95% of the confidence interval for the true average proportional limit stress of all such joints

(7.7829, 9.3171)

Step-by-step explanation:

Step(i):-

Given that the sample size 'n' = 12

Mean of the sample = 8.55

The standard deviation of the sample (S) = 0.76

Step(ii):-

95% of the confidence interval is determined by

[tex](x^{-} - t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } , x^{-} + t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} })[/tex]

Degrees of freedom = n-1 = 12-1 = 11

t₀.₀₂₅ = 3.4966

[tex](8.55 - 3.4966\frac{0.76}{\sqrt{12} } , 8.55 + 3.4966 \frac{0.76}{\sqrt{12} })[/tex]

(8.55 - 0.7671 , 8.55+0.7671)

(7.7829, 9.3171)

Final answer:-

95% of the confidence interval for the true average proportional limit stress of all such joints

(7.7829, 9.3171)

what is a grid with 4 quadrants and 2 axes?

Answers

Answer: The point at which the two axes intersect is called the origin. ... The intersecting x- and y-axes divide the coordinate plane into four sections. These four sections are called quadrants. Quadrants are named using the Roman numerals I, II, III, and IV beginning with the top right quadrant and moving counter clockwise.

Step-by-step explanation:

A grid with 4 quadrants and 2 axes is called as cartesian plane.

What is a cartesian plane?

The cartesian plane is defined as a two-dimensional coordinate plane, which is formed by the intersection of the x-axis and y-axis.

What is a grid?

A grid is a framework of spaced bars that are parallel to or cross each other.

Learn more about grid here

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Which sign makes this number sentence true?

|866| __ |-866|
A. >
B. <
C. =
D. +

Answers

Answer:

>

Step-by-step explanation:

Answer:

c for me

Step-by-step explanation:

hope that helps you

Triangle LMN, shown below, is a right triangle.
L
13
5
N
M
12
Which of the following is equivalent to sin L?
PLEASE ANSWER I NEED HELP!!

Answers

9514 1404 393

Answer:

  D  cos(N)

Step-by-step explanation:

In case you haven't remembered the fact that the sine of an angle is equal to the cosine of its complement (the other acute angle in a right triangle), you can always go back to the definitions.

  Sin = Opposite/Hypotenuse

  sin(L) = NM/NL

and

  Cos = Adjacent/Hypotenuse

  cos(N) = NM/NL = sin(L)

The equivalent of sin(L) is cos(N).

quien es el padre de la administración?

Answers

Answer:

Frederick Winslow Taylor

Step-by-step explanation:

I need the answer, help me please

Answers

Perpendicular = opposite sign and reciprocal slope
Y = 3/2x + 1
The slope is 3/2, opposite sign = -3/2 now reciprocal = -2/3
Y = -2/3x + b
Plug in the point (6,-2)
-2 = -2/3(6) + b
-2 = -12/3 + b
-2 = -4 + b, b =2
Solution: y = -2/3x + 2
X=-0.6 or -2/3

Substitute y for 0

multiply both sides of the equation by 2
Move the variable to the left-hand side and change its sign

Divide both sides of the equation by -3

The radius of a circle is 28 centimeters. Which measurement is closest to the circumference of the circle in centimeters?​

Answers

Answer:

Solution in photo

is 2/3 equal to 2/4 ? if not is it greater

Answers

Answer:

Equivalent fraction of a given fraction is got by multiplying or dividing its numerator and denominator by the same whole number. For example, if we multiply the numerator and denominator of 2/3 by 4 we get. 2/3 = 2×4 / 3×4 = 8/12 which is an equivalent fraction of 2/3.

Step-by-step explanation:


You are cutting pieces of fabric for a craft project. You need three pieces that measure 6 2/3 inches, 4 1/2inches, and 3 5/8inches.
What is the total length of fabric that you need ?

Answers

Answer:

Step-by-step explanation:

14/19/24

A quality control inspector has drawn a sample of 11 light bulbs from a recent production lot. Suppose 20% of the bulbs in the lot are defective. What is the probability that less than 7, but more than 4 bulbs from the sample are defective

Answers

Answer:

0.04845

Step-by-step explanation:

Probability that less than 7 but more than 4 bulbs from the sample are defective :

P(4 < X < 7) = P(x = 5) + P(x = 6)

Using the binomial probability formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

From the question :

p = 0.2 ; 1 - p = 0.8 ; n = 11

P(x =5) = 11C5 * 0.2^5 * 0.8^6 = 0.03876

P(x = 6) = 11C6 * 0.2^6 * 0.8^5 = 0.00969

P(4 < X < 7) = P(x = 5) + P(x = 6)

P(4 < X < 7) = 0.03876 + 0.00969

P(4 < X < 7) = 0.04845

Krysta knit a total of 16 centimeters of scarf over 8 nights. How many nights will Krysta have
to spend knitting in order to knit a total of 46 centimeters of scarf? Assume the relationship is
directly proportional.
nights

Answers

Answer:

23 nights

Step-by-step explanation:

What does "Proportional" Mean? Proportional means that the ratio is the same throughout.

Step One: First, to set this up, we will put the 16 centimeters for the numerator and then the 8 nights on the bottom. The bottom is the independent variable because we can't physically change the number of nights. 16/8.

Step Two: Now, we have to scale this up to 46. Because the 46 is the centimeters, we have to do 46/16 to see how much we need to scale it by: 46/16= 2.875.

Step Three: Lastly, we can multiply 8 by 2.875 to see how many nights it took: 8 times 2.875 is 23 nights.  



The function f(x) models the value of imported goods into the United States, and the function g(x) models the value of exported

goods from the United States, where x is the number of years since 1990.


Which statements are correct?

A) g(x) appears to be a linear function

B) f(x) appears to be an exponential function


C)Exports increase more quickly around the year 2041


D) Exports eventually exceed imports from the united States


E) A quantity increasing exponentially eventually exceeds a quantity

increasing linearly

Answers

Answer:

C, D, E

Step-by-step explanation:

I did the USATESTPREP

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Figures are the same size and shape

5 cm
1 cm
1 cm
2 cm
4 CM
The perimeter of this shape is


13 cm
18 cm
20 cm
22 cm

Answers

Answer:

the perimeter of the shape is 13cm

Step-by-step explanation:

Perimeter is the distance round a shape. As for polygons perimeter is the sum of all the sides. In this polygon, the sum of all the sides is 5cm + 1cm + 1cm + 2cm + 4cm which is equal to 13cm

Put this numbers from least to greatest.

A: 3.2, 0.67, 9, 1.78, 0.651.

please please please please please PLEASE please please please please please please please please please please help me.​

Answers

Answer:

0.651, 0.67, 1.79, 3.2, and 9

Step-by-step explanation:

Answer:

0.651. ,0.67 ,1.78 ,3.2 ,9

Step-by-step explanation:

well if your confused on 0.651 and 0.67 i personally may go for the first two unless if the questions longer

Find the value of x. I WILL GIVE YOU BRAINLIEST!!!!​

Answers

Hi there!

[tex]\large\boxed{x = 40}[/tex]

We can solve for x knowing that the sum of interior angles in a triangle is 180°.

The square at the bottom indicates a right angle, or 90°. Therefore:

180 = 90 + x + (x + 10)

Combine like terms:

180 = 100 + 2x

Subtract 100 from both sides:

180 - 100 = 2x

80 = 2x

Divide both sides by 2:

x = 40.

Answer:

hi

Step-by-step explanation:

x+90⁰+x+10=180

x+x+10=180-90

2x+10=90

2x=90-10

2x=80

x=80/2

x=40

have a nice day

I need help please help

Answers

Answer:

B (340)

Step-by-step explanation:

LAST ONEEE YAYYYYYYY

Answers

Answer:

80

Step-by-step explanation:

180 - 100 = 80. 180º is required for a straight line, and 100º have already been shown from the other angles. x = 80

80 because gsjakoaaugsnejwi

PLEASE ANSWER ASAP! NO SCAM LINKS OR REPORTEd

Answers

Dude I’m getting so many scam links to, it’s so annoying

which names apply to the number
48

integer
irrational
real
whole
rational​

Answers

Answer:

All except irrational apply to the number 48

In 2010, the population of a city was 25,000. The
population increased by 20% in each of the next three
years. If this rate of increase continues, what will be the
population of the city in 2015?

Answers

Answer:

43,200

Step-by-step explanation:

25,000x .20=5,000

30,000 x .20=6,000

36,000x.20=7,200

43,200x.20=8,640

51,840x.20=10,368

Show work please and thanks

Answers

Answer and working out attached here. Hope it helps :)

If a complete graph represents the road network in a country, it would be advantageous for that country in the even that an infectious disease hits one of the towns on the road network. Yes, it would be advantageous No, it would not be advantageous​

Answers

Answer:

everyone

Step-by-step explanation:

If A is an event that will never happen, then P(A)=​

Answers

Answer:

0

Step-by-step explanation:

If A is an event that will never happen, then P(A)=​0

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