Solve using the quadratic formula. Approximate answers to the nearest tenth.
Help

Answers

Answer 1

Answer:

x = 2.4 or x = 0.3

Step-by-step explanation:

3x² - 8x + 2 = 0

Quadratic formula

x = {-b ±√b² - 4ac} / 2a

a = 3

b = -8

c = 2

x = {-b ±√b² - 4ac} / 2a

= {-(-8) ±√(-8)² - 4*3*2} / 2*3

= (8 ± √64 - 24) / 6

= (8 ± √40) / 6

= (8 ± 2√10) / 6

= 8/6 ± 2√10/6

= 4/3 ± √10 / 6

x = 4/3 + √10 / 6 or 4/3 - √10 / 6

x = 2.4 or x = 0.3


Related Questions

¿Cuanto es el 15% de 9,000?

Answers

Answer:

10% = 900

5% = 450

15% = 1,350

Please brainliest

Find the slope from the two points given: (-4, 2) and (5, 6) *

Answers

Answer:

Slope = 4/9

Step-by-step explanation:

x1(-4,2)

x2(5,6)

Slope,

m = (y2-y1)/(x2-x1)

= (6-2)/(5--4)

=4/9

pls answer correct or i will ban you
And I will mark brainlist whoanewers correct​

Answers

Since segment AC bisects (aka cuts in half) angle A, this means the two angles CAB and CAD are the same measure. I'll refer to this later as "fact 1".

Triangles ABC and ADC have the shared segment AC between them. By the reflexive property AC = AC. Any segment is equal in length to itself. I'll call this "fact 2" later on.

Similar to fact 1, we have angle ACB = angle ACD. This is because AC bisects angle BCD into two smaller equal halves. I'll call this fact 3

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

To summarize so far, we have these three facts

angle CAB = angle CADAC = ACangle ACB = angle ACD

in this exact order, we can use the ASA (angle side angle) congruence property to prove the two triangles are congruent. Facts 1 and 3 refer to the "A" parts of "ASA", while fact 2 refers to the "S" of "ASA". The order matters. Notice how the side is between the angles in question.

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

Once we prove the triangles are congruent, we use CPCTC (corresponding parts of congruent triangles are congruent) to conclude that AB = AD and BC = BD. These pair of sides correspond, so they must be congruent in order for the entire triangles to be congruent overall.

It's like saying you had 2 identical houses, so the front doors must be the same. The houses are the triangles (the larger structure) and the door is an analogy to the sides (which are pieces of the larger structure).

1) Find the distance between -49.75 and 31.5 on a number line.​

Answers

Answer:

81.25

Step-by-step explanation:

Because you want to know the total distance, calculate how many digits -49.75 is away from 0. It is 49.75 digits away from 0.

Now calculate how many digits 31.5 is away from 0. It is 31.5 digits away from 0.

Finally, add those two distances together so that you know the total distance:

49.75+31.5 = 81.25

Answer:

in the picture

HOPE ITS HELP

What is the slope of the line through the points (-2, -1) and (4, 3)?

Answers

Answer: [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Answer:

m=2/3

Step-by-step explanation:

Identify the coordinates (x₁,y₁) and (x₂,y₂) . ...

Input the values into the formula. (-2,-1) (4,3) the formula is (y1-y2)/(x1-x2)

Subtract the values in parentheses to get 4/6

Simplify the fraction to get the slope of  2/3

help please if you can

Answers

Answer:

Ice, ig.

It is made up of the remaining part of the solar system, after all.

Hope it helps you

Please mark as brainliest

I NEEDDD HELPPPPP PLEASEEE

Answers

Answer:

#3

Hope this helped! Please give brainliest to let me know <3

Step-by-step explanation:

Presale tickets (p) are each worth $7: represented in the equation as 7p.

Door tickets (d) are each worth $10: represented in the equation as 10d.

They sold 345 tickets, so p+d=345. They collected $2550, so 7p+10d=2550.

Final answer:

(3) [tex]\left \{ {{7p+10d=2550} \atop {p+d=345}} \right.[/tex]

A submarine begins its descent from the surface of the water and dives 20 feet for each minute. What would be the depth of the submarine after 2/3 hours?

Answers

Answer:

Distance = speed * time

Convert feet to meter (C units) = about 6

Convert hours to second (C units) = about 2399

Distance = 6 * 2399

= 1439 meters

4721 foot

Find the solution set of this inequality. Enter your answer in interval notation using grouping symbols. -2x+5<3

Answers

Step-by-step explanation:

-2x+5<3

-2x>3-5

-2x>-2

Divide both sides by -2

x>1

Answer:

-2x+5<3

-2x<-2

x<1

which comparison is correct?
140.07 < 140.7
140.07=140.7
140.07 > 140.7

Answers

The answer is 140.07< 140.7 I hope I help

Answer:

40.07 < 140.7

step by step explanation:it's just correct I think

please help me with this!

Answers

5*2=10. 2*3=6 2*3=6. 3*5=15. 3*5=15. 5*2=10

10+10+6+6+15+15= 62 units^2

help gggggggggggggggggggggggggggggggggggggg

Answers

Answer:

22 units

The correct answer is A

I believe the answer to this is 22 units.

I hope this helps! :D

The midpoint of AB is M(6, 3) . If the coordinates of A are (7, 4) , what are the coordinates of B?

Answers

Answer:

5,2

Step-by-step explanation:

the difference between a and m is 1,1 so 1,1 subtracted from the mid point(M) would be 5,2

What is the vertex of the quadratic function below?
y = 1/2x^2 + x. + 3
A. (-1,5)
B. (1/2,3)
C. (1,3)
D. (-1/,5/2)

Answers

Answer:

C

Step-by-step explanation:

Into the thick of it

helppppppp pleaseeee f/4 - 5 = -9

Answers

Answer:

Step-by-step explanation:

f/4-5=-9

f-4*5/4=-9

f-20/4=-9

f-20=-9*4

f-20=-36

f=-36+20

f=-16

Answer:

f/4 - 5 = -9

f-20/4=-9

f-20=-9×4

f-20=-36

f=-36+20

f=-16

its a very simple question... wanna get brainliest. if so answer this ..
Did I colored the parts correct ... should the denominator be 4 instead of 2..??? ​

Answers

If you want it to be 1/2 then you would have to color in another part, but if you want it to be 1/4 then that’s what you drew and you would have to change the denominator to a 4.

I hope this helped.

What is x? Please help quickly!

Answers

Answer:

27 1/3

Step-by-step explanation:

Since both angles form a straight line of 180, you can set your formula up as

180=4x+2x+16

180-16=6x

164=6x

164/6=x

what is the algebraic expression for 11 times a number x, minus a second number y ?​

Answers

Answer:1

Step-by-step explanation:

twice a number minus a second number is -1. Twice the second number added to three times the first number is 9. find the two numbers. System of Equations is how we are supposed to solve this word problem.

11x - y is the answer, if you need more help lmk!

A bag contains five blue marbles, five red marbles, five white marbles, and five black marbles. You draw a marble from the bag, and then draw another marble from the bag.

Do you have a greater probability of drawing two blue marbles if you replace the first marble after you draw it or if you don't replace the marble?

Your answer should include both the mathematical proof and a written statement.

Answers

Answer:

If you replace the first marble, you have a higher chance of picking two blue marbles. Mathematical proof and written statement is shown below.

Step-by-step explanation:

Mathematical Proof :

For proof, we should test it out.

To find the total amount of marbles, we add up all the different colors in the bag.

5 + 5 + 5 + 5 = 20

Drawing 2 blue marbles while replacing the first probability :

The probability of drawing a blue marble at first is 5/20. If you then replace this marble, the probability doesn't change, it's still 5/20. To get the probability of getting two blue marbles and not replacing we multiply :

5/20 * 5/20 = 25/400 = 1/16

Drawing 2 blue marbles while NOT replacing the first probability :

The probability of first choosing a blue marble is 5/20, but you don't replace it, so now the probability of choosing a blue marble is 4/19, since one blue marble was taken. To find the probability of drawing two blue marbles but not replacing the first one we are going to have to multiply 5/20 * 4/19. That's 1/19.

So the probability of getting two blue marbles and replacing the first is 1/16, and the probability of getting two blue marbles and not replacing the first is 1/19. Well, which is greater? 1/16 is greater. If you replace the first marble, you have a higher chance of picking two blue marbles.

Written Statement :

If you replace the first marble you have a higher chance of getting two blue because you are increasing the number of blue marbles in the 20 total marbles. Now there is a greater number of blue marbles there is a greater chance you will pick blue.

Find the volume of a rectangular prism with length 7 feet,width 6 feet, and height 4 feet.

Answers

Answer:

V=168ft³

Step-by-step explanation:

V=

w-6

h-4

l-7  

V = 168ft³

The first answer is correct

Find the y-intercept the line on the graph. Plz I need the credit

Answers

Answer:

4

Step-by-step explanation:

The y intercept is where it crosses the y axis

It crosses the y axis at y = 4

I believe the answer is 4

Write the equation of the parabola in vertex form.

Answers

Answer: Hi! The answer is, y=-(x-2)^2

Step-by-step explanation:(The explanation is in the image below) I hope that this helps you!

Which of the following graphs represents a function? Graph a or b

Answers

Answer:

graph b represents a function.

Answer:

graph b

Step-by-step explanation:

Lawrence makes tomato cages out of wire. He has 48 1/3 yards of wire and uses 6 3/4 yards on each tomato cage. How many tomato cages can Lawrence make with the wire he has?
A. 6
B. 7
C. 8
D. 9

Answers

7 due to 48 1/3 divide by 6 1/3 only breaks down to 7.1

What is the value of x?



Enter your answer in the box.

Answers

Answer:

x=12

Step-by-step explanation:

Both Angles together have a 180 degrees, set your formula up as

180=(10x-20)+(6x+8)

180=10x+6x-20+8

180+20-8=16x

192=16x

192/16=x

12=x

Answer:

x = 12

Step-by-step explanation:

The two angles form a straight line so they add to 180

10x-20 + 6x+8 = 180

Combine like terms

16x -12 = 180

Add 12 to each side

16x-12+12=180+12

16x = 192

Divide each side by 16

16x/16 =192/16

x = 12

The ratio of sheep to cows in a field is 3:8. The ratio of cows to pigs in the same field is 5:6. What is the ratio of sheep to cows to pigs?

Answers

Answer:

3:5:6

Step-by-step explanation:

because there are 3 sheep 5 vows and 6 pigs

please help!! i have no clue what to do and this packet is due tonight.

Answers

Answer:

[D] ∞

General Formulas and Concepts:

Calculus

Limits

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \lim_{n \to \infty} s(n)[/tex]

[tex]\displaystyle s(n) = (\frac{5}{4n^4})(3n^5 + 3n^4 + 2n^3 + n^2)[/tex]

Step 2: Evaluate

Substitute in function [Limit]:                                                                           [tex]\displaystyle \lim_{n \to \infty} (\frac{5}{4n^4})(3n^5 + 3n^4 + 2n^3 + n^2)[/tex]Multiply:                                                                                                             [tex]\displaystyle \lim_{n \to \infty} \frac{5(3n^5 + 3n^4 + 2n^3 + n^2)}{4n^4}[/tex]Power Method:                                                                                                 [tex]\displaystyle \lim_{n \to \infty} \frac{5(3n^5 + 3n^4 + 2n^3 + n^2)}{4n^4} = \infty[/tex]

Since the degree of the polynomial is greater in the numerator than in the denominator, the top will always increase faster than the bottom, thus getting infinitely larger.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Book: College Calculus 10e

Estimate 16.26+4.169 by first rounding each number to the nearest tenth.

Answers

Answer:

16.3 + 4.2 = 20.5 (20.5 has not been rounded)

Step-by-step explanation:

I just rounded both numbers to the nearest tenth, it should be accurate. I hope I helped :)

16.26
+ 4.269
_______
20.529

=20.5
or you can do
16.26=16.3 when round
4.169=4.2 when rounded
add the new rounded numbers
16.3+4.2=20.5

key note: when rounding if the number is 5 or greater than 5 you add one the the numbers place you are rounding to.

Write an equation for this graph

Answers

Answer:

y = -x - 2

Step-by-step explanation:

The slope is -1 and the y-intercept is (0, -2).

x(x+2) + y (x + 2) - 5(x + 2)
factor

Answers

First of expand the equation

X^2+2x+yx+2y-5x-10

X^2+yx-3x+2y-10

Final answer=

X(x+y-3)+2(y-5)

Answer:

x² + xy - 3x + 2y - 10

Step-by-step explanation:

x(x + 2) + y(x + 2) - 5(x + 2)

x² + 2x + y(x + 2) - 5(x + 2)

x² + 2x + xy + 2y - 5(x + 2)

x² + 2x + xy + 2y - 5x - 10

x² - 3x + xy + 2y - 10

x² + xy - 3x + 2y - 10

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