Find the discriminant.
4w 2 + 8W + 4 = 0
How many real solutions does the equation have?
no real
solutions
one real
solution
two real
solutions

Answers

Answer 1

Answer:

one real solution being only -1

Step-by-step explanation:

Solve for w over the real numbers:

4 w^2 + 8 w + 4 = 0

Divide both sides by 4:

w^2 + 2 w + 1 = 0

Write the left hand side as a square:

(w + 1)^2 = 0

Take the square root of both sides:

w + 1 = 0

Subtract 1 from both sides:

Answer: |

| w = -1

Answer 2

Answer:

[tex]Discriminant=0\\b)\ One\ Real\ Solution[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that:\\4w^2+8w+4=0\\We\ know\ every\ quadratic\ equation\ can\ be\ represented\ in\ the\ form\ of:\\ax^2+bx+c=0,\ where\ x \neq 0\\Hence,\\Lets\ first\ recognize\ the\ co-efficients\ of\ the\ algebraic\ terms( x^2,\ x,\ x^0),\\ which\ are\ a,b\ and\ c\ respectively.[/tex]

[tex]Hence,\\4w^2+8w+4=0\\4(w^2)+8(w)+4(w^0)=0\\Hence,\\a=4,\ b=8,\ and\ c=4.[/tex]

[tex]Now,\\We\ can\ decide\ the\ nature\ of\ roots\ the\ quadratic\ equation\ has,\ by\ looking\\ at\ its\ Discriminant.\\Hence,\\Lets\ first\ find\ the\ Discriminant\ for\ our\ equation:\\[/tex]

[tex]We\ know\ that,\\Discriminant=b^2-4ac\\\\Substituting\ a=4, b=8, c=4\ in\ the\ Discriminant\ Formula,\ we\ get:\\8^2-4*4*4\\=64-64\\=0\\Hence,\\Discriminant=0[/tex]

[tex]We\ also\ know\ that\ if,\\D>0, The\ equation\ forms\ 2\ distinct\ real\ roots.\\D=0,The\ equation\ forms\ only\ one\ real\ root\ exactly\ at\ the\ x-axis.\\D<0,\ The\ equation\ forms\ Imaginary/Complex\ Roots\ or\ basically\ no\ real\ roots.[/tex][tex]Here,\\As\ D=0,\\The\ equation\ forms\ only\ one\ Real\ root\ or\ has\ only\ one\ solution.[/tex]


Related Questions

24 divided by the product of 6 and 2

Answers

Answer:

2

Step-by-step explanation:

Well, the product of 6 x 2 is 12. and 24/12 is 2

Answer:

the answer is 2

Step-by-step explanation:

=[tex]\frac{24}{6*2}[/tex]

=[tex]\frac{24}{12}[/tex]

=2

HELP I ONLY HAVE THESE TWO QUESTIONS LEFT!!!!!!! First, How Many cubic blocks of side length 1/6 inch would it take to fill a cube with a side length of 2/6 inch? Second question, How many cubic blocks of the side length 1/7 inch would it take to fill a Rectangular prism with a length, width,and height of 3/7, 1/7, and 3/7 inch, respectively?

Answers

Answer:

1. There are 8 cubic blocks are needed to fill a cube. Explanation in pic

2. 441 cubic blocks will fill the rectangular prism. Explanation in pic

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

1. 8 cubic blocks, 2. 9 cubic blocks

Step-by-step explanation:

the perimeter is ___ units​

Answers

15 is the correct answer

Two lines intersecting at a right angle
o form a line.
O are parallel.
O are perpendicular.
o form a ray.
Save and Exit
Next
Submit
Mark this and retum

Answers

Answer: are perpendicular

Step-by-step explanation:

Two lines intersecting at a right angle are said to be perpendicular. When the lines cross each other, we say the lines have intersected.

The point of intersection of the lines is the pointe where they cross one another. In case the lines never interesct, such lines are refered to as the parallel lines.

Which is a greater angle of rotation? 720° or 6π radians? Explain how you know.

Answers

Answer: the angle would be much greater because the angle calculated up to over 12 radians

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf 6 \pi \ radians}}[/tex]

Step-by-step explanation:

It's hard to compare degrees and radians, so we should convert, then compare.

To convert radians to degrees, we multiply by 180 over pi. This way, the pi will cancel out when dividing.

[tex]radian * \frac {180}{\pi}[/tex]

[tex]6 \pi * \frac {180}{\pi}[/tex]

[tex]\frac {1080 \pi}{\pi} \\[/tex]

[tex]1080[/tex]

6π radians is equal to 1080 degrees, which is much larger than 720 degrees, so it is the greater angle of rotation.

what is the Circumference of
r = 126 cm
C =?

Answers

Answer:

C≈791.68

Step-by-step explanation:

C=2πr=2·π·126≈791.68135

Surgery Satisfaction Survey
Surgery Satisfied Dissatisfied Total
Knee 70 25 95
Hip 90
15 105
Total 160 40 200
The table shows survey results for 200 patients who had either hip or knee surgery. If one person is selected randomly, what is the
probability he or she was dissatisfied, given that he or she had hip surgery? (Round to the nearest tenth of a percent.)
A)
44.2%
B)
38.6%
0
21.7%
D)
14.3%

Answers

Answer: D) 14.3%

Step-by-step explanation:

Conditional probability formula:

[tex]P(B |\text{given that A}) =\dfrac{P(A\ and\ B)}{P(A)}[/tex]

So, The probability he or she was dissatisfied, given that he or she had hip surgery = [tex]\dfrac{\text{Number of persons are dissatisfied and has hip surgery}}{\text{Total persons have hip surgery}}[/tex]

From the table, the number of persons who are dissatisfied and has hip surgery = 15

Total persons have hip surgery = 105

Required probability = [tex]\dfrac{15}{105}\approx0.143[/tex]

In percent, Required probability = 14.3%

Correct option D) 14.3%

two swimmers swam lobstering practice together the swim 175 laps swmmier b swam 25 more than twice as many as swimmer a how many laps did swimmer a swim​

Answers

Answer:

swimmer b swims 100 yards. approximately how many more feet did swimmer a swim than swimmer b? 2.

Step-by-step explanation:

Please hurry!
I need both parts by tonight!

Answers

Answer:

okokookokokokjfdgugv

A cylindrical tank has a volume of 628 inches cubed. The height of the tank is 8 inches. What is the area of the base?

Answers

Answer: 78.5 in2

Step-by-step explanation:

pls help 7 3/5 ft= yd

Answers

Answer:

2.53333333333

Step-by-step explanation:

3/5 as a decima is 0.6 so 7.6 divided by 3 is 2.53333333333

Answer:

2 8/15

Step-by-step explanation:

3ft/1 yard=7 3/5 feet/ x yards

38/5=3x

x=2 8/15

which table shows a proportional relationship between x and y

Answers

Answer:D

Step-by-step explanation:in other 3 option there is no proportion ...

Answer:

the answer is D

Step-by-step explanation:

13- (-9)

explain how you got this answer

16+ only please answer this

Answers

Answer:

22

Step-by-step explanation:

double negative is a plus sign

13--9=22

Answer: 22

Step-by-step explanation:

Here, we need to know the concept of changing signs. Under any circumstances, if there is a "-" sign outside of parenthesis, the signs inside need to be the opposite. If you are still not very clear, I can provide some examples below:

1-(+1) ⇒ there is a "-" sign, so we need to convert the sign inside "+" to "-" ⇒ 1-1 ⇒ 02-(-1) ⇒ there is a "-" sign, so we need to convert the sign inside "-" to "+" ⇒ 2+1 ⇒ 3

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

Given

13 - (-9)

⇒There is a "-" sign outside

⇒We need to convert the sign inside "-" to "+"

⇒13+9

⇒22

Hope this helps!! :)

Please let me know if you have any questions

Reports say that the mean birth weight of babies of European heritage is 3.5\text{ kg}3.5 kg3, point, 5, start text, space, k, g, end text. Marta wants to perform a significance test to see if this holds true in her nation. She takes a random sample of babies and observes a mean birthweight of \bar x=3.43\text{ kg.} x ˉ =3.43 kg.X, with, \bar, on top, equals, 3, point, 43, start text, space, k, g, point, end text Here's Marta's null hypothesis: H_0:H 0 ​ :H, start subscript, 0, end subscript, colon The mean birth weight in this nation is...

Answers

Answer:

Reports say that the mean birth weight of. babies of European heritage is 3.5 kg. Marta wants to perform a significance test to see if this holds true in her nation. She takes a random sample of babies

HELP plesse with 9 and 10

Answers

Answer:

Find the solutions below

Step-by-step explanation:

Given the equation

y = -x^2 + 2x + 7

y = -2x+2

Equating both expressions

-x^2 + 2x + 7 = -2x + 2

-x^2 + 2x + 7 + 2x - 2 = 0

-x^2 + 4x + 5 = 0

Multiply through by -1

x^2 - 4x - 5 = 0

Factorize

x^2 - 5x + x - 5 = 0

x(x-5)+1(x-5) = 0

(x+1)(x-5) = 0

x+1 = 0 and x - 5 = 0

x = -1 and 5

when x = -1

y = -2x+2

y = -2(-1)+2

y = 2+2

y = 4

when x = 5

y = -2(5)+2

y = -10+2

y = -8

Hence the solutions are (-1, 4) and (5, -8)

b) y = x^2-3x-27

y = x - 6

Equating both expressions

x^2-3x-27 = x - 6

x^2-3x-27 - x + 6 = 0

x^2-4x-21 = 0

x^2 - 7x + 3x - 21 = 0

x(x-7)+3(x-7) = 0

(x+3)(x-7) = 0

x = -3 and 7

when x = -3

y = -3-6

y = -9

when x = 7

y = 7 - 6

y = 1

Hence the required solutions are (-3, -9) and (7, 1)

Help please I really need this !!!!

Answers

Answer:

List 2

Step-by-step explanation:

i got it right

A pair of dice is rolled and the numbers showing are observed. Find the probability that the two dice show different numbers.

Answers

Answer:

1/36

Step-by-step explanation:

What is the area of the figure below?
5 in
13 in
12 in

Answers

c 36 is the correct answer

Which expression below has a Coefficient of 3?

Answers

I think the answer is C because a coefficient is a number and a letter together like 3x. That why I think the answer is C. But if I am wrong I am sorry.

What is the End Behavior of the following Graph?

Answers

Answer:

b hopefully this helps you with work

Mark runs to catch a ball. Explain how the structure of muscle tissue helps him perform this function

Answers

Answer:

Muscles give structure and power for any kind of movement, so the tissue needs to be flexible and tightly packed for movement. The tight bands of tissue shown in the picture allows this movement to occur.

Step-by-step explanation:

By running your muscles can get stronger in power so it gives you a better chance to catch the ball with your speed and strength.

Answer:

Muscles give structure and power for any kind of movement, so the tissue needs to be flexible and tightly packed for movement. The tight bands of tissue shown in the picture allows this movement to occur.

Step-by-step explanation:

Edmentum Answer

Number 12 please help 10 points no links pleAse

Answers

Answer:

C

Step-by-step explanation:

50

52

53

56

We have the 5 at the stem, so we need 0, 2, 3, and 6 at the leaf.

2x + x + 24=180 ????

Answers

3x + 24 = 180

3x = 180 - 24

3x = 156x = 156/3

x=52

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

Answers

C and D will be the answers

Help please, thank you :)

Answers

Answer:

Equation B, 10 + 5.50n = y.

Step-by-step explanation:

N is the pounds of shrimp that were purchased. This has no set value, it can change at any time.

Since each pound of shrimp is $5.50, if you wanted to buy 10 pounds of fish you'd pay $55.

If I wanted to write an equation to find the total amount of money that I'd need to pay for n pounds of shrimp, I would use the equation 5.50n. (I don't know if this makes sense lol I'm terrible at explaining ;-;)

Now, it states that he wants an extra 10 dollars to pay for expenses. On top of the 5.50n, he wants an extra $10.

You need to add 10 to 5.50, in order to get the total amount, or y.

The final equation is going to be 5.50n + 10 = y, or choice B.

Given: Circle A externally tangent to Circle B. How many possible common tangents to circles A and B can exist? 2 3 4

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Which expression is equivalent to sin (1) cos(17) - cos (1) sin(15.)?

Answers

Answer:

os 36°: The cosine of 36 degrees can be calculated by using a pentagon. ... sin 18° and sin 72°: Taking the equivalent sine and cosine values of 15° and 18° on ... I angle (the "I" in this expression stands for th

Step-by-step explanation:

Describe and correct the error in writing an equation of the line with a slope of 2 and a y-intercept of 7.

Please don't put any links or I will report you.

Answers

Answer:

The mistake they made was they switched the slope and y-intercept.

The correct answer is y=2x+7 because when we write an equation in slope intercept form (y=mx+b) you replace m with the slope and b with the y-intercept.

Hope this helps! <3

in a box of chocolates, 1/5 of the chocolates contain nuts.
the rest of chocolates do not contain nuts.
write down the ratio of the number of chocolates that contain nuts to the number of chocolates that do not contain nuts.
give your answer in the form 1:n

Answers

Answer:

1:4

Step-by-step explanation:

chocolates that contain nuts = 1/5

chocolates hat do not have nuts = 4/5

ratio = 1:4

I hope im rght! i

:)

Which of the following characteristics does not describe a stock?
O A. No guarantee you will get your money back
B. No maturity date
C. Money can be earned from capital gains
O D. No certificate of ownership

Answers

Answer:

D. No certificate of ownership

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