Solve 3x² + 4x = 2. (2 points)
O 2 ± √10
—————
6
O −2+2√10
——————-
3
O −2+√10
——————-
3
O
-4± √10
————
3

Answers

Answer 1

Answer:

Step-by-step explanation:

As it is a second order equation, it means that it has two possible answers and they are [tex]x_1[/tex] and [tex]x_2[/tex].

The famous quadratic formula for solving any second order equation is the following:

[tex]x_{1} = \frac{-b + \sqrt{b^2 - 4 ac}}{2a}\\x_{2}=\frac{-b - \sqrt{b^2 - 4 ac}}{2a}[/tex]

Where a is the coefficient of [tex]x^2[/tex], b is the coefficient of x, and c is the free term. In other words,

[tex]a = 3\\b=4\\c=-2[/tex]

as the equation should be in the following form:

[tex]a x^2 + bx+c = 0[/tex]

Therefore the possible answer should be the following,

[tex]\frac{-4 + \sqrt{4^2 - 4*3*(-2)}}{2*3}=\frac{-4 +\sqrt{16 + 24}}{6} =\frac{-4 + \sqrt{40}}{6}=\\ \frac{-4 + \sqrt{4*10}}{6} = \frac{-4 + 2\sqrt{10}}{6}[/tex][tex]\frac{2*(-2 + \sqrt{10})}{2*3} = \frac{-2 + \sqrt{10}}{3}[/tex]

by dividing the numerator and denominator by 2, we can deduce the following,


Related Questions

You paid $16.50 for a prescription plus $1.32 in sales tax. What is the sales tax rate?

Answers

Answer:

16.50+1.32 u happy its so easy

Answer 8% tax rate
1.32 tax divided by cost of prescription 16.50
Equals .08 or 8%

A store manager wanted to see the relationship between
the number of computers sold, x, and store profit, y, on a
daily basis. The regression line is û = -150 +24x, where
x is the number of computers sold for the day.
What is the predicted store profit if 0 computers are
sold for the day?
O-$150
O-$126
$0
O $176

Answers

The predicted store profit if 0 computers are sold for the day is $-150.

What is the predicted store profit?

Profit is the total selling price less the cost price of an item.

Profit = selling price - cost price

Given the regression line, û = -150 +24x, substitute for x

û = -150 +24(0)

û = -150

To learn more about profit, please check: https://brainly.com/question/26181966

#SPJ1

Answer:

The answer above is correct -150 is correct

Step-by-step explanation:

EDG2022

please help with math

Answers

6: x+3 = 11x4 x+3 = 44 x =44 x =44-3 answer x=41

If [2a -1] [-3-a]= (10), find the value of a.​

Answers

Step-by-step explanation:

Step-by-step explanation:-6a-2a^2+3+a=10-7a-2a^2=10-32a^2+7a+7=0

7x + 2y = −12
3x + 4y = −24

Answers

Answer:

x= 0 , y= 6

Step-by-step explanation:

multiplying 1st equation by 2 and subracting equation 2nd from 1st

14x + 4y = -24

- ( 3x + 4y) = - (-24)

11x = 0

so, x=0

keep x=0 in equation 2nd

3*0 + 4y = -24

y = -24 / 4

so , y = 6

Which of the following best describes /JKL?
32°
L
K

Answers

The best statement that describes the angle JKL is inscribed angle.

What is an inscribed angle?

An inscribed angle in a circle is formed by two chords that have a common end point on the circle. The chord JK and LK intersect in the circle.

The angle ∠JKL is not an obtuse angle because it's less than 90 degrees.

The angle ∠JKL is not a vertical angle because it's not vertically opposite  any angle.

The angle ∠JKL is not a central angle because it was not from from the centre of the circle.

The angle is an inscribed angle because it was formed by the intersection of two chords in the circle.

learn more on angles here: https://brainly.com/question/6563602

#SPJ1

may i have help with this

Answers

Answer: D. 7^11

Step-by-step explanation:

For exponents with the same base, we just add the exponents and keep the same base. 7 is the same base; therefore 5+6=11 which means the answer is 7^11

Consider a triangle ABC like the one below. Suppose that a = 42, b=44, and c= 52. (The figure is not drawn to scale.) Solve the triangle
Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.
there is more than one solution, use the button labeled "or".

Answers

In the triangle , Angle A is 51.1 degrees,  B is 54.5 degrees , C  is 74.4 degrees.

What is a Triangle ?

A triangle is defined as a polygon with three sides , three angles and three vertices.

Using the Law of Cosine to solve the Triangle and to determine the value of all the angles

c² = a²+ b² -2abCosC

a = 42 , b=44 , c = 52

52² = 42² + 44² -2 * 42 * 44 cos C

2704 = 1764 + 1936 -3696 cos C

cos C = 0.269

C =74.4 ° (degrees)

Similarly calculating for A and B will give

Angle A is 51.1 degrees

Angle B is 54.5 degrees

To know more about Triangle

https://brainly.com/question/2773823

#SPJ1

The table below shows the estimated population of fish living in the local lake as determined by the local
environment council every 10 years between 1960 and 1990.
The equation y = 1500(.9) describes the curve of best fit for the fish population (y). Let z represent the
number of 10-year intervals since 1960.
Year Population
1960
1500
1970
1350
1980 1210
1990 1100
Using this equation, what is the approximate predicted population of fish living in the lake in the year 2020?
A) 980
B) 800
C) 770
D) 720

Answers

The approximate predicted population of fish living in the lake in the year 2020 is; B: 800

How to Calculate Estimate population from a Table?

We are told that the equation that describes the curve of best fit for the fish population (y) is;

y = 1500(0.9)^(z)

where z represent the

number of 10-year intervals since 1960.

The table started in the year 1960 and we want to find the population in the year 2020.
Number of years after 2020 is;

2020 - 1960 = 60 years

60 years is 6 decades

Thus;

y = 1500(0.9)⁶ = 797 ≈ 800

Read more about Population Estimate at; https://brainly.com/question/372299

#SPJ1

The average cost of tuition plus room and board for a small private liberal arts college is reported to be $9,500 per term, but a financial administrator believes that the average cost is higher. a study conducted using 350 small liberal arts colleges showed that the average cost per term is $9,845. the population standard deviation is $1,200. let α = 0.05. what is the p-value for this test?

Answers

i think the answer would be p= 123

what is the value of 50 US dollar in philippine money?

Answers

Answer:

Answer is $2,637.38

Step-by-step explanation:

In circle O, ST is a diameter.

Circle O is shown. Line segment S T is a diameter. Line segments R O and U O are radii. Angles R O U and U O T are congruent. The measure of arc R S is (2 x + 8) degrees, the measure of arc R U is (3 x minus 14) degrees, and the measure of arc U T is (3 x minus 14) degrees.

What must be the value of x?

22.0
25.0
25.4
37.2

Answers

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant. The correct option is B.

What is a circle?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

Given the measure of arc, RS is (2 x + 8) degrees, the measure of arc R U is (3 x minus 14) degrees, and the measure of arc U T is (3 x minus 14) degrees.

(3x-14)° + (3x-14)° + (2x+8)° = 180°

8x -20 = 180

8x = 200

x = 25

Hence, the correct option is B.

Learn more about Circle:

https://brainly.com/question/11833983

#SPJ1

Howard sells used helicopters, and he receives a 3% commission on all that he sells. If Howard received $42,000 in commissions last year, how many dollars worth of used helicopters did he Sell?

Answers

The worth of helicopter sold is $1,400,000

How to determine the total sales?

The given parameters are:

Commission = 3% of salesCommission = $42,000

This means that:

3% of sales = $42,000

Divide both sides by 3%

Sales = $1,400,000

Hence, the worth of helicopter sold is $1,400,000

Read more about commission at:

https://brainly.com/question/26283663

#SPJ1

An adult African elephant weighs approximately 8 tons. Which comparison is true

Answers

need more info to answer ?

In a class of 75 students, 50 like visiting and 50 like Picnic. If each student like at least one activity, using Venn diagram, find the number of students who like both.

please help me with this question. ​

Answers

If each student like at least one activity, the number of student that like both is 25

How to solve Venn diagram?

The class have 75 students.

50 like visiting and 50 like picnic.

Therefore, if each student like at least one activity, the number of student that like both can be calculated as follows;

let

x = student that like both

75 = 50 + 50 - x

Therefore,

75 = 100 - x

75 - 100 = -x

-25 = -x

x = 25

Therefore, the number of students who like both are 25.

learn more on Venn diagram here: https://brainly.com/question/24088773

#SPJ1

Bentley leans a 22-foot ladder against a wall so that it forms an angle of 74 degrees with the ground. How high up the wall does the ladder reach? Round your answer to the nearest hundredth of a foot if necessary

Answers

The Sine or Sin(θ) in a right angle triangle is the ratio of its perpendicular to its Hypotenuse. The Height on the wall till which the ladder reaches is 21.148 ft.

What is Sine (Sinθ)?

The Sine or Sin(θ) in a right angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,

Sin(θ) = Perpendicular/Hypotenuse

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The hypotenuse is the longest side of the triangle.


The height of the wall can be found by using the trigonometry ratios, therefore, the height of the wall can be determined as,

Sin(74°) = (Height on the wall)/(Length of the wall)

Sin(74°) = (Height on the wall)/22 ft

(Height on the wall) = 21.148 ft

Hence, the Height on the wall till which the ladder reaches is 21.148 ft.

Learn more about Sine:

https://brainly.com/question/21286835

#SPJ1

Answer:

21.15

Step-by-step explanation:

How to solve for the x??? Pls hep

Answers

Answer:

x = 97.5 degrees

Step-by-step explanation:

First, we need to know what the total sum of interior angles. We use the formula (n-2) * 180, n being the number of sides.

Since this is a 6-sided polygon, the sum is (6-2) * 180, or 720 degrees.
We have the total sum of interior angles, so now we have all the information we need.
720 degrees = (2x-50) + (x+40) + 80 + (x+20) + 90(right angle symbol) + 150
720 = 4x + 330 (subtract 330 from both sides)

390 = 4x (divide by 4)
x = 97.5 degrees


Brian flips a fair coin 3 times
What is the probability of him getting exactly 2 tails?​

Answers

Answer:

[tex]\frac{3}{8}[/tex]

Step-by-step explanation:

There are a list of possible outcomes:

TTT  (1)TTH   (2)THT  (3) THH  (4)HHH   (5)HHT  (6)HTH   (7)HTT   (8)

This represents 8 outcomes.

The only ones that have two tails are:

TTH   (1) THT  (2) HTT (3)

Because there are 3, this means that the probability in a fraction form of Brian getting exactly 2 tails is 3/8. P ( exactly 2 tails) = 3/8.

Georgia drove 156 miles in 4 hours. If this rate continue, how many miles can he drive in 7 hours

Answers

The answer is 273 ……….

Answer: he drives 273 miles for 7 hours

Step-by-step explanation:

A graph titled Fast Freddy has time (minutes) on the x-axis and Distance (miles) on the y-axis. A line goes through points (0, 0) and (4, 1). A 2-column table with 3 rows titled Speed Sam. Column 1 is labeled Time (minutes) x with entries 4, 20, 32. Column 2 is labeled Distance (miles) y with entries one-half, 2 and one-half, 4.
Find the slope from the graph and from the table to compare the speeds of two marathon runners.

What is the constant speed of Fast Freddy?

1/4
What is the constant speed of Speedy Sam?

Who ran faster?

Answers

The constant speed of Fast Freddy is 0.25 miles per minute and the constant speed of Speedy Sam is 0.125 miles per minute

The complete question

The question is incomplete as the graphs and the tables are missing.

However, the points given in the question can be used to represent the graph and the table

The slopes of the graph and the table?

By interpreting the points, we have:

Graph

(x, y) = (0, 0) and (4, 1)

Table

x           y

4           0.5

20         2.5

32         4

The slope is calculated using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

Graph: [tex]m = \frac{1 -0}{4 -0} = 0.25[/tex]

Table: [tex]m = \frac{4 -2.5}{32 -20} = 0.125[/tex]

Their constant speeds

Freddy's speed is represented by the graph, while Sam's speed is represented by the table

Hence, the constant speed of Fast Freddy is 0.25 miles per minute and the constant speed of Speedy Sam is 0.125 miles per minute

Who ran faster?

Freddy ran faster because 0.25 is greater than 0.125

Read more about graphs and tables at:

https://brainly.com/question/27489675

#SPJ1

Answer:

1. Freddy ran a speed of 1/4 miles

2. Sam ran a speed of 1/8 miles

3. Freddy ran faster

Step-by-step explanation:

Your welcome :)

flash is the best show to ever exist

What is the distance between the following points?

Answers

Answer:

if im not mistaken the andswer is D

help please and only answer if ur sure x

Answers

Answer:

9/10

Step-by-step explanation:

First you would have to make the denominators the same, and they have an lcd of 10. So multiply 2/5 by 2 which is 4/10

and then 1/2 by 5 to get 5/10

then add 4/10 and 5/10 together and you get 9/10

what is the solution to the equation 1/5n=3


a n=8
b n=15
c n=25
d n=125

Answers

Answer:

[tex]\huge\boxed{\sf n = 15}[/tex]

Step-by-step explanation:

Given Equation:

[tex]\displaystyle \frac{1}{5} n = 3\\\\Multiply \ 5 \ to \ both \ sides\\\\n = 3 \times 5\\\\n = 15\\\\\rule[225]{225}{2}[/tex]

What is the scale factor for XYZ TO UVW?

Answers

Answer:

D. 2

Step-by-step explanation:

If you multiply any side from XYZ by 2 it will equal the same length of one of the sides of UVW.

Which of the following best describes the graph below A.it is a one to one function B. It is not a function C.it is a many to one function D.It is a function,but it is not one to one

Answers

The graph is a one to one function , Option A is the correct answer.

What is a function ?

A function is defined as the algebraic expression that identifies relation between a dependent and an independent variable.

All the function have a defined domain and Range.

To test that the given graph is a function ,

A vertical line test will be done , A vertical is passes through different points of the graph and for every unique value of x , we get a single solution of y , therefore it is a function

Then  horizontal Line test is done to determine if it is a one to one function, for every y value there is only one x value.

The graph passes the horizontal line test.

Therefore The graph is a one to one function , Option A is the correct answer.

To know more about Function

https://brainly.com/question/12431044

#SPJ1

PLEASE HELP I’LL MAKE YOU THE BRAINIEST Find the area of the parallelogram

Answers

Answer:

A=5.4×4.4=23.76 in

because the are of the paralelogram is base ×high

Find the measure of

Answers

Answer:

r = 76°

Step-by-step explanation:

61° + 43° + r = 180° { <'s on a straight line are supplementary}

104+r=180

r = 180-104

r = 76°

76, 180- the other angles is 76

In August, Sara and Mel decided to spend a week fishing. On the first day, Sara caught 2 fish, and Mel caught 4 fish. The next day, Sara had 4 fish altogether, and Mel had 8 fish. On the third day Sara had 6 fish altogether while Mel had 12 fish altogether.

1. If the pattern continues, how many fish will each of them have caught by the end of the week? Fill in the rest of the chart.

Fish caught altogether:
Days
1
2
3
4
5
6
7
Sara
2
4
6





Mel
4
8
12


1. If the pattern continues, how many fish will each of them have caught by the end of the week? Fill in the rest of the chart.

Fish caught altogether:
Days
1
2
3
4
5
6
7
Sara
2
4
6





Mel
4
8
12







2. What is the pattern that describes how many fish Sara caught each day? What is the pattern that describes how many fish Sara caught altogether?







3. What is the pattern that describes how many fish Mel caught each day? What is the pattern that describes how many fish Mel caught altogether?






4. What do you notice when you compare Sara’s pattern and Mel’s Pattern?



5. If Sara and Mel continued fishing, how many fish would they have caught by day 10?



this is worth 100 points

Answers

Turn into coordinates pair

(2,4)(4,8)(6,12)

Slope

m=8-4/4-2=2

Equation

y=2x

#1

A week is of 7 days

total fishes Sara has=2(7)=14

Total mel will have

y=14(2)=28fishes

#2

The each day Sara caught 2fishes

pattern for Sara 's total

2d

d is days

#3

Mel also caught 2(2)=4 fishes a day

Mel caught all together is 2(Sara)

#4

They are in proportion to each other

#5

Sara would have 10(2)=20fishes

Mel would have.

20(2)=40fishes

Answer:

Q1)

The number of fish Sara caught increases by 2 each day.

The number of fish Sara caught increases by 4 each day.

[tex]\large \begin{array}{| c | c | c |}\cline{1-3} & \sf SARA& \sf MEL\\\sf Days & \sf fish\:caught & \sf fish\:caught \\& \sf altogether & \sf altogether\\\cline{1-3} 1 & 2 & 4 \\\cline{1-3} 2 & 4 & 8 \\\cline{1-3} 3 & 6 & 12 \\\cline{1-3} 4 & 8 & 16 \\\cline{1-3} 5 & 10 & 20 \\\cline{1-3} 6 & 12 & 24 \\\cline{1-3} 7 & 14 & 28 \\ \cline{1-3}\end{aligned}[/tex]

Q2)

Sara caught 2 fish each day.

The pattern that describes how many fish Sara caught altogether is:

2 times the number of days

Q3)

Mel caught 4 fish each day.

The pattern that describes how many fish Mel caught altogether is:

4 times the number of days

Q4)

The number of fish Mel caught altogether is twice the number of fish Sara caught altogether.

Q5)

The number of fish Sara and Mel would have caught by day 10:

Sara = 10 × 2 = 20 fishMel = 10 × 4 = 40 fish

75 points! what’s the lateral area, total surface area, and volume of this? please help me!

Answers

Answer:

yes of course it exists until to you practice a little bit hard. so let's. try

Someone pleaseeeee helpp meeeeee!!!!

Answers

Answer:

The slope is 0.

Step-by-step explanation:

x is the gradient of the line, so multiplying the slope, zero, by the gradient, x, would make this equal to zero.

Other Questions
When a character says the opposite of what he or she actually means for the purpose of humor, this is called _____. Please help me figure this out Which animated film featured an owl named archimedes?. Write a nuclear formula for 37^Ca triangle png Find the value of x Use the commutative property of addition to write an expression equivalent to the following.5a + bThe answer is If a 6-foot-tall baby giraffe casts a 4- foot-long shadow, then how tall is an adult giraffe that casts a 10-foot shadow? After willie was bitten by a rabid dog, his physician administered postexposure rabies treatment. The mode of disease transmission in this case is best described as. 100 points please and ill try to give brainliest if I can Im not sure how to.Part One: Use the template to apply your understanding of ancient Chinese beliefs. Then respond to the reflection questions. Your responses should be written in complete sentences. Part Two: Read each statement that might be made from a person living today. Then determine which Ancient Chinese philosophy it most closely aligns with: Confucianism, Daoism, or Legalism. Be sure to provide an explanation for linking each statement to a philosophy in complete sentences. Part Three: Respond to the reflection question in at least three sentences each. What is the importance of ancestors in Chinese culture? WILL MARK BRAINLIEST!!!!!Hemingway wrote The Old Man and the Sea to relate the loneliness of Santiagos life as a fisherman out on the sea alone. In his novella, he conveys a sad tone toward the subject.Which quotations from the text help to convey a sad tone?Select each correct answer."The boy saw that the old man was breathing and then he saw the old mans hands and he started to cry.""He cannot know that it is only one man against him, nor that it is an old man.""Then he said aloud, 'I wish I had the boy. To help me and to see this.'""You have only yourself and you had better work back to the last line nowand cut it away and hook up the two reserve coils.""'He [a shark] took about forty pounds,' the old man said aloud. 'He took my harpoon too and all the ropeand now my fish bleeds again and there will be others.'" Make up question what does chlorine take off your make up faster than water? Which one of these functions is a quadratic function?OA Rx) = x-3x+1OB. f(x)=3*OC. f(x)=xOD. f(x) = log(x+7) This net folds into the cube shown beside it. On the cube, which letter will be on the side opposite D?BAEC Read the poem.1) Lian climbed on her bed and saw on a shelf an oldalbum she had almost forgot.2) It held family pictures from present and past,moments a camera had caught.(3) There was her Yeye, who worked hard in the fields,holding her mom when she was young.(4) Next was a picture of her and Yeye in the park;smiles told they were having such fun.Which line from the poem best supports the theme thatpeople should enjoy their family?Oline 1Oline 2Oline 3Oline 4 Question 15 of 20What was a key motivation behind European imperialism in the 18th and 19thcenturies?A. Europeans made new advancements in navigation.O B. Europeans needed slave labor for new factories.C. Europeans hoped to escape disease and famine.D. Europeans sought new markets for their surplus goods. 3t-2/4 - 2t-3/3 = 2/3 - t How often should injuries such as sprains be iced? 100 POINTS!!! REPOST!!! NEED HELP!!! NO SPAMMING!!! (Refer to the attached image) Help meeeeeeeeeeeeeeee On a popular television game show, a contestant must choose one of the five envelopes. One envelope contains the grand prize, a car. Find the probability of not choosing a car. Show your solution. Urgent! Please answer immediately. The answers that are nonsense will be reported.