4x^2-2x-4=0 solve using quadratic formula

Answers

Answer 1

Answer:

Step-by-step explanation:

Although you can start with 4x^2-2x-4=0, it's just slightly easier to reduce the coefficients.  4x^2-2x-4=0 becomes 2x^2 - x - 2 = 0.

The discriminant (part of the quadratic formula) is b^2 - 4ac.  Using b = -1. a = 1 and c = -2, we get (-1)^2 - 4(2)(-2), or 17.

                                                       -b ± √(b^2 - 4ac)

Then the quadratic formula   x = ---------------------------

                                                                 2a

                                         -(-1) ± √17           1 ± √17

takes on the values  x = -----------------  =  ---------------

                                                  4                      4


Related Questions

(FILL IN THE BLANK)

Analyze the graph of the exponential decay function.

The initial value is _____

The base, or rate of change is _____

The domain is _____

Answers

Initial value = 1
Rate of change = not sure
Domain = (-infinity, infinity)

7. The prime factorization of which number is 2^5 x 5?
A) 50
B) 125
C) 160
D) 500​

Answers

C is the right answer!!!

Find the perimeter. Simplify your answer.
3t+6
10t+7
6t-2
10t+4

Answers

Step-by-step explanation:

Perimeter is the sum of every side

6t-2 + 3t+6 + 10t+7 + 10t+4

= 6t + 3t + 10t + 10t -2 +6 +7 +4

= 29t + 15

You look up at a 62 m tall building and find that the angle of elevation from the ground to the top of the building is 51 degrees. How far away from the building's base are you?

Answers

Answer:

Step-by-step explanation:

horizontal distance = 62/tan(51°) ≅ 50.2 m

The distance between the building base to a standing point is 50.20 m if the angle of elevation from the ground to the top of the building is 51 degrees.

What is the trigonometric ratio?

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

Trigonometry is a branch of mathematics that deals with the relationship between the sides and angles of a right-angle triangle.

It is given that:

You look up at a 62 m tall building and find that the angle of elevation from the ground to the top of the building is 51 degrees.

The angle = 51 degrees.

The height of the building = 62 m

Applying the tan ratio

tan51 = height of the building/distance between the building base to a standing point

tan51 = 62/x

x = 50.20 m

Thus, the distance between the building base to a standing point is 50.20 m if the angle of elevation from the ground to the top of the building is 51 degrees.

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ6

100) = +8 what is) when x = 102

Answers

Answer:

13

Step-by-step explanation:

10/2=5

5+8=13

Please help. And show your work or your content answer will be removed and your points will be taken away from the one's you get from me.Thank you!

Answers

Answer:

“It’s not hard to steal points”.........................................so thx for points....................................bye

Step-by-step explanation:

Maria found a circular rug for her floor. The rug has a circumference of 50.24 inches. Which formula should Maria use to help her find the diameter of the rug?

Answers

Answer:

She should use the formula [tex]C = \pi d[/tex] to find a diameter of 16 inches.

Step-by-step explanation:

The circunference of a circle is given by:

[tex]C = 2\pi r[/tex]

In which r is the radius, which is half the diameter. So, it can also be given by the following formula:

[tex]C = 2\pi \frac{d}{2} = \pi d[/tex]

In which d is the diameter.

Which formula should Maria use to help her find the diameter of the rug?

She should use this formula:

[tex]C = \pi d[/tex]

Since the circunference is 50.24 inches, the diameter will be of:

[tex]d = \frac{C}{\pi} = \frac{50.24}{\pi} = 16[/tex]

Without writing the equation x^2 + y^2 + 24x – 26y+ 277 = 0 in the standard form, state whether the graph of this equation is a
parabola, circle, ellipse, or hyperbola.
a. parabola
c. hyperbola
b. ellipse
d. circle

Answers

Answer:

circle

Step-by-step explanation:

You can see there is a x^2 and y^2 and 24 x and 26 y meaning if you do complete the square you can write it as a circle in standard form

An examination class of 55% of pupil scored 70% , if 54% scored above 70%. how many scored above 70%.​

Answers

Answer:

54

Step-by-step explanation:

Let us assume the examination class is of 100 students

Now 55% scored 70%  so 55% of 100 is 55

And, the 54% scored above 70% so 54% of 100 is 54

Therefore there are 54 who scored above 70%

Hence, the same would be considered and relevant too

two numbers have a sum of 527 and a difference of 195

Answers

Answer:

y+x = 527- 195

Step-by-step explanation:

correct me if im wrong pls anyone!

Apply Theorem 22-B to solve for "b" State the proportion, and then the answer 27 12​

Answers

Step-by-step explanation:

wnzhbavqqjqqjwiebwjebew wisiwbwjwbeirbeiwbso roiahanwje nw ewihsiabajaa wbwbw rohanajaiwiaba avaiavahwiwhvwabhabsjw aiajak a a a a akajana

zbajaibaaujabajaja

buwsusbvajz

Whats the square root of 128

Answers

Answer:

exact form: 8√2

decimal form: 11.3137

Answer:

i dont know

Step-by-step explanation:

Assume that the probability of error-free transmission of a message over a communication channel is p. If a message is not transmitted correctly, a retransmission is initiated. This procedure is repeated until a correct transmission occurs. Such a channel is often called a feedback channel. Assuming that successive transmissions are independent, what is the probability that: a) No retransmission is required. b) Exactly two retransmissions are required

Answers

This question is incomplete, the complete question is;

Assume that the probability of error-free transmission of a message over a communication channel is p=0.9. If a message is not transmitted correctly, a retransmission is initiated. This procedure is repeated until a correct transmission occurs. Such a channel is often called a feedback channel. Assuming that successive transmissions are independent, what is the probability that:

a) No retransmission is required.

b) Exactly two retransmissions are required

Answer:

a) probability that No retransmission is required is  0.90

b) the probability that exactly two retransmissions are required is 0.009

Step-by-step explanation:

Given the data in the question;

the probability of error-free transmission of a message over a communication channel is p = 0.9

a) probability that No retransmission is required will be;

Let x represent the error-free transmission of a message

Now, the P( error-free_transmission_of_a_message) = 0.90

so;

P( X=0 ) = 0.90( 1 - 0.90 )⁰

P( X=0 ) = 0.90( 0.1 )⁰

P( X=0 ) = 0.90( 1 )

P( X=0 ) = 0.90

Therefore, probability that No retransmission is required is  0.90

b) Probability that exactly two retransmissions are required will be;

P( X=2 ) = 0.90( 1 - 0.90 )²

P( X=2 ) = 0.90( 0.1 )²

P( X=2 ) = 0.90( 0.01)

P( X=2 ) = 0.009

Therefore, the probability that exactly two retransmissions are required is 0.009

plz help 52 points
For a scientific experiment, a physicist must make sure that the temperature of a metal does not get colder than −108°C or the metal will not be usable. The physicist changes the metal's temperature at a steady rate of −4°C per hour.

Answers

-3t < -78

÷-3      ÷-3

_________

t > 26

78÷26=3

Answer:

If the current temperature is 0 degrees C then:

27 hours

Step-by-step explanation:

108 divided by 4=27 hours.

can somebody help me please​

Answers

so Camille is 10 Donny is 6and tommy is 8

Given parameters :

Camille is 7 years older than Donny Donny is 4 years younger than Tommy

To find :

Total ages of the three people

Solution with details :

Let us take the age of Donny as x years - i

According to the given question we have ,

Camille's age = x + 7 yearsTommy's age - 4 = Donny's age Tommy's age = Donny's age + 4Tommy's age = x + 4 ( from i )

Total ages of three people = Sum of their ages

Camille's age + Donny's age + Tommy's age x + 7 + x + x + 4 3x + 11

A group of friends wants to go to the amusement park. They have $363 to spend on parking and admission. Parking is $5.50, and tickets cost $35.75 per person, including tax. How many people can go to the amusement park?

Answers

First take the five dollars and 50 Cent off of the $363. Secondly what is the percentage on the tax you can’t figure out how many people are allowed to go until they find out how much the tax will be in the only way you can find out how much the tax would be is if you know what percentage

pleaseeeee help ill give brainliest answerrrrr

Answers

Answer:

A= 360

Step-by-step explanation:

360

what is the horizontal cross section of the figure shown helpppp ill give brainliest answer

Answers

Answer:

Square

Step-by-step explanation:

Probably square

A train journey is approximately 150 miles.

How many centimetres will it be on a map with a scale of 30 miles = 1 cm?

Answers

Answer:  5 cm

==========================================================

Explanation:

The jump from 30 miles to 150 miles is "times 5", meaning 30*5 = 150.

So we need to multiply both sides of the equation

30 miles = 1 cm

by 5 and we get

5*(30 miles) = 5*(1 cm)

150 miles = 5 cm

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

Another way to solve:

This involves proportions

Let x be the distance on the paper map that corresponds to 150 miles

(150 miles)/(x cm) = (30 miles)/(1 cm)

150/x = 30/1

150*1 = x*30 .... cross multiply

150 = 30x

30x = 150

30x/30 = 150/30 ... divide both sides by 30

x = 5 cm is the distance on the paper map

WILL GIVE BRAINEST!!! PLEASE HELP

Answers

Answer:

1.) The point (24,30) would not be on the line

2.) The point (12,13) would not be on the line either

4.) The slope is a fraction of 2/1

Bonus: y = (2/1)x - 2

Step-by-step explanation:

For question three, I looked at the (6,10) point on the graph and compared it with the (a,8) point. That showed me that the y coordinate always moves by 2. Then I looked at the (6,10) coordinate and the (a,8) coordinate and the (4,b) coordinate and saw that there was one x coordinate between 6 and 4 so it must be five. That means the x coordinate moves by 1.

Let me know if you need more help!

:)

I will give you a brainliest if you answer this question 16

Answers

Answer:

0.75, 0.5, 0.25, 0.05

Hope it helps!!!

B.)0.75, 0.5,0.25,0.05

0.25

0.52

0.75    greatest

0.05    Least



A water-walking ball has a volume of approximately 904.32 cubic feet. What is the radius of the ball? (V = 4/3(pi)r^3)

Make sure you do put the unit with this answer rounded to the tenth if necessary.

Answers

Answer:

The radius of the ball is of 6 feet.

Step-by-step explanation:

The radius of the ball in spheric format is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

In which r is the radius.

A water-walking ball has a volume of approximately 904.32 cubic feet. What is the radius of the ball?

Volume in cubic feet, so the radius will be in feet. We have to find r for which [tex]V = 904.32[/tex]. So

[tex]V = \frac{4\pi r^3}{3}[/tex]

[tex]904.32 = \frac{4\pi r^3}{3}[/tex]

[tex]r^3 = \frac{904.32*3}{4\pi}[/tex]

[tex]r = \sqrt[3]{\frac{904.32*3}{4\pi}}[/tex]

[tex]r = 6[/tex]

The radius of the ball is of 6 feet.

Jake ran 6.8 miles yesterday and 10.4 miles today. How many more miles did he run today?

Answers

Answer:

3.6 more miles

Step-by-step explanation:

10.4 - 6.8 = 3.6

What is the value of the Expression
H-20 when h=60?

A:30
B:40
C:80
D:120

Answers

Answer:

BBBBBBBB

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Subtract 60-20 you'll get the answer

a woman spent 3/5 of her weekly salary on rent and 25% of her weekly salary on food. Her food cost $2500. How much did she spend on rent

Answers

Answer:

$6,000

Step-by-step explanation:

If her food costed $2500 and was 25%, then she had $10,000 to begin with. 3/5 of $10,000 is $6,000, so her rent costs $6,000.

Answer:

$6,000 on rent

Step-by-step explanation:

Find her weekly salary by dividing 2500 by 0.25

2500/0.25

= 10,000

Now, find how much she spent on rent by multiplying 10,000 by 3/5

10,000(3/5)

= 6,000

So, she spent $6,000 on rent



Mr. Williams is making wooden toy trucks for a craft show. He has 85 pieces of wood for the trucks

Each truck requires 6 pieces of wood.

Part A

How many toy trucks can Mr. Williams make? Enter your answer in the box.

00:00

Part B

How many pieces of wood will he have left? Enter your answer in the box.

Answers

Part A: He could make 14 toy trucks.

Divide 85 by 6.

85/6

14

(don't take any notice to the decimals)

Part B: He would have 1 piece of wood leftover.

6x14=84

Since Mr. Williams has 85 pieces of wood,

he would have 1 leftover.

Hope this helped!

Simplify completely''''​

Answers

Answer:

[tex]\displaystyle \frac{2x + 5}{x - 9}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Terms/CoefficientsFactoring

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{2x^2 + 13x + 20}{x^2 - 5x - 36}[/tex]

Step 2: Simplify

[Fraction] Factor numerator:                                                                         [tex]\displaystyle \frac{(x + 4)(2x + 5)}{x^2 - 5x - 36}[/tex][Fraction] Factor denominator:                                                                      [tex]\displaystyle \frac{(x + 4)(2x + 5)}{(x - 9)(x + 4)}[/tex][Fraction] Divide:                                                                                           [tex]\displaystyle \frac{2x + 5}{x - 9}[/tex]

Suppose that the length of research papers is uniformly distributed from 12 to 25 pages. We survey a class in which 55 research papers were turned in to a professor. The 55 research papers are considered a random collection of all papers. We are interested in the average length of the research papers.
A.) Give the distribution of X. (round your standard deviation to two decimal places. X
∼ N (18.5, _____)
B.) Give the distribution of SumX. Round your standard deviation to two decimal places. SumX
∼ (1017.5, _____).
C). Calculate the probability that the professor will need to read a total of more than 1080 pages. _____

Answers

Answer:

A.) X ~ N(18.5, 3.75)

B.) SumX ~ N(1017.5,27.8).

C.) 0.0122 = 1.22% probability that the professor will need to read a total of more than 1080 pages.

Step-by-step explanation:

Uniform distribution:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b.

The mean is given by:

[tex]M = \frac{a+b}{2}[/tex]

The standard deviation is given by:

[tex]S = \sqrt{\frac{(b-a)^2}{12}}[/tex]

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The uniform distribution can be approximated to the normal, using its mean and its standard deviation.

Sum of n terms of a normally distributed variable:

The mean of the sum will be:

[tex]\mu_{s} = n\mu[/tex]

The standard deviation of the sum will be:

[tex]\sigma_{s} = \sqrt{n}\sigma[/tex]

Suppose that the length of research papers is uniformly distributed from 12 to 25 pages.

This means that [tex]a = 12, b = 25[/tex]

We survey a class in which 55 research papers were turned in to a professor.

This means that [tex]n = 55[/tex]

A.) Give the distribution of X.

The mean has already been given, and the standard deviation is:

[tex]S = \sqrt{\frac{(25-12)^2}{12}} = 3.75[/tex]

So

X ~ N(18.5, 3.75)

B.) Give the distribution of SumX.

Sum of 55 papers, the standard deviation will be of:

[tex]\sigma_{s} = \sqrt{55}*3.75 = 27.8[/tex]

So

SumX ~ N(1017.5,27.8).

C). Calculate the probability that the professor will need to read a total of more than 1080 pages

This is 1 subtracted by the pvalue of Z when X = 1080. So

[tex]Z = \frac{X - \mu_{s}}{\sigma_{s}}[/tex]

[tex]Z = \frac{1080 - 1017.5}{27.8}[/tex]

[tex]Z = 2.25[/tex]

[tex]Z = 2.25[/tex] has a pvalue of 0.9878

1 - 0.9878 = 0.0122

0.0122 = 1.22% probability that the professor will need to read a total of more than 1080 pages.

Determine whether m=27 is a solution to 20=m+3

Answers

Answer:

No.

Step-by-step explanation:

27+3=30, not 20.

Answer:

Nopeeee it is not

Step-by-step explanation:

20 = 27 + 3 ?

20 = 30 ?

Nope

m = 27 is not a solution

Find the approximate circumference, in terms of π, of chicken pie that had a radius of 3.25 inches.

A) 3.25 πin.
B) 6.5 πin.
C) 20 πin.
D) 1.625 πin.

Answers

Answer:

B

Step-by-step explanation:

I Had this

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