Solve the equation by using quadratic formula . Show your work! Answer maybe in radical or decimal form .

2x^2 + 4x – 5 = 0

Answers

Answer 1

Answer:

[tex]x_1=\frac{-2+\sqrt{14}}{2}\approx 0.871,x_2=\frac{-2-\sqrt{14}}{2}\approx-2.871[/tex]

Step-by-step explanation:

[tex]2x^2+4x-5=0[/tex]

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\frac{-4\pm\sqrt{4^2-4(2)(-5)}}{2(2)}[/tex]

[tex]x=\frac{-4\pm\sqrt{16+40}}{4}[/tex]

[tex]x=\frac{-4\pm\sqrt{56}}{4}[/tex]

[tex]x=\frac{-4\pm2\sqrt{14}}{4}[/tex]

[tex]x=\frac{-2\pm\sqrt{14}}{2}[/tex]

[tex]x_1=\frac{-2+\sqrt{14}}{2}\approx 0.871,x_2=\frac{-2-\sqrt{14}}{2}\approx-2.871[/tex]


Related Questions

5 3/4 times 1 3/4 and simplified

Answers

Answer:

I believe the answer will be 27/3


Given f(x) = 2x2 – 9x+2, g(x) = 1 – 6x, and
h(x) = x² – 4, find the following function:
=
(hof)(x)

Answers

Answer:

2×2=4

9x+2=11x

1-6x=4x

x²-4=16

=16¹⁵x

what is the reasoning of 9 +10 is 21?

Answers

The correct answer is 19

Answer:

the reasoning is incorrect.

Step-by-step explanation:

9+10=19.

120% of what number is 102

Answers

Answer:

122.4 i think

Step-by-step explanation:

If ab =12 and a²+b²=25, then (a+b)²= ? ​

Answers

Recall that

(a + b)² = a² + 2ab + b²

Then

(a + b)² = 25 + 2•12 = 49

Write a simplified polynomial expression in standard form to represent the area of the rectangle below.
X - 4
5X + 2

Answers

Step-by-step explanation:

i think is this the answer

5×-4=-20

-20+2=18

[tex]\sf -(6-4x)[/tex]

Answers

Answer:

[tex] - (6 - 4x) = - 6 + 4x[/tex]

Answer:

[tex]-6+4x[/tex]

Step-by-step explanation:

[tex]-(6-4x)[/tex]

[tex]\mathrm{Distribute\:parentheses}[/tex]

[tex]=-\left(6\right)-\left(-4x\right)[/tex]

[tex]\mathrm{Apply\:minus-plus\:rules}[/tex]

[tex]-\left(-a\right)=a,\:\:\:-\left(a\right)=-a[/tex]

[tex]=-6+4x[/tex]

If Sue worked 28 hours this week and made $172 in tips, how much did her weekly pay
exceed what she would have made with minimum wage?

Answers

Do 178 times 28 which equals 4,984 then you do 4,984 decided by 7 which equals 712 because there are 7 days a week. So the answer is 712.

Answer: 28 hours over 172$ that mean 6.14 per hour

so 257.88$ minimum for 42 hours

Step-by-step explanation:

28 hours over 172$ that mean 6.14 per hour

so if we say she work in one day 6 hours that mean in one weak 42 hours

so 42*6.14=  257.88 $

Describe the solution set for the equation below.

−29+5x=5(x−5)


One Solution
One Solution

No Solution
No Solution

Infinitely Many Solutions

Answers

Pretty sure it’s infinitely many solutions

kayla and Jane helped Mr.John fit kids in the auditorium. There was 603 kids,and each row can fit 31 kids. How many rows do they need to use?​

Answers

Answer:

Around 19 rows

Step-by-step explanation:603/31= 19.40 so I'm not too sure

HELP!!!! I WILL GIVE 100 POINTS!

Answers

Answer:

x = 17y = 18

Step-by-step explanation:

8x - 17 + 3x + 10 = 180 => 11x - 7 = 180=> 11x = 187=> x = 187/11=> x = 17=> 8(17) - 17 = 6y + 11=> 136 - 17 - 11 = 6y=> 108 = 6y=> y = 18

Conclusion:

Therefore:

x = 17y = 18

Hoped this helped.

[tex]GeniusUser[/tex]

Could someone please solve this compound inequality?

Answers

[tex]\large\mathcal\red{Answer✓}[/tex]

Ans :- E...

I'm gonna go with answer choice B

what does 2/6 - 6/12 equal in fractions pleeeeeaaaase.

Answers

2/6 - 3/6 = -1/6
Because you would divide 6/12 by 2 on each number

Answer: -1/6

You can multiply 2/6 by 2 to get 4/12 which you can subtract from 6/12.

4/12 - 6/12 = -2/12 which you can simplify further to get -1/6

7
Which of the following representions are functions?
2
I. {(0,9), (3, 12), (-5, 10), (5, 10)}
II. y = x2 + 10
Х
10
-1
10
8
-2
III.
y
5
8
-5
-9
-4
O Tonly
+
O II only
o I and II only
O I, II, and III

Answers

Answer:

1,11,111 I don't know how I know it I just know it

Which ordered pair is a solution to the equation? 3x-4y=13

A, (3, 1)
B. (3, -1)
C. (-1, 3)
D. (1, 3)



Need asap (will give brainliest to the best answer*

Answers

The correct answer is B
When you put the values of x and y in the equation

3(3) - 4(-1) = 13

9 + 4 =13

13=13 (correct answer)

When you try putting the rest of the values in the equation the answer doesn’t match ,hence ,the correct answer is B.I hope I get the brainliest answer!

The population of the bacteria triples each hour. Initially, there are 20 bacteria in the lab. Find the number of bacteria at the end of 5th hour
1620
4500
4860
5000

Answers

Answer:

4860

Step-by-step explanation:

Get the product of twenty and three, then multiply that to three again, repeat this for three more times.

HELP ME GUYS PLEASE ! :)

Answers

in order:

y=6

y=16

y=26

y=31

First person to answer CORRECTLY will get brainliest and extra points!!

Answers

Answer:

y=15

Step-by-step explanation:


Brainliest reward need brief working out

Answers

Answer:

  1. 125 cm³; 88.8 cm³; 1650 cm³; 0.11 m³

  2. about 1.47 kg

  3. can't tell what the volume of 1 jar is

Step-by-step explanation:

The relationship between volume, mass, and density is ...

  mass = volume × density

Solving for volume, we find ...

  volume = mass ÷ density

__

(a) 50 g/(0.4 g/cm³) = 125 cm³

(b) 770 g/(8.67 g/cm³) ≈ 88.8 cm³ . . . (rounded to 3 significant figures)

(c) 4000 g/(2.42 g/cm³) ≈ 1650 cm³ . . . (rounded to 3 significant figures)

(d) 80 kg/(720 kg/m³) ≈ 0.11 m³ . . . (rounded to 2 significant figures)

_____

The volume of the cylinder is ...

  V = πr²h

  V = π(4 cm)²(15 cm) = 240π cm³ ≈ 754.0 cm³

Using the above relation, we find the mass to be ...

  mass = (754.0 cm³)(1.95 g/cm³) ≈ 1470 g = 1.47 kg

_____

We cannot tell if the volume of each jar is 360 liters, or if that is the total volume of all 6 jars. Either way, we suspect a units problem, as the jars would have to be extremely large and unusually thin relative to what we usually think of as a jar for jam (0.77 m diameter; 0.2 mm thick). The density of the jam would be roughly 10 times the density of air, if that is the volume of all 6 jars. The problem would be more sensible if the units of volume were mm³, and the given volume is that of one jar.

The mass of jam in one jar is (5400/6 -200) = 700 g. Divide that by what you think the volume of one jar is in cm³ to find the density in g/cm³. (For comparison, the density of air is about 0.0012 g/cm³.)

_____

Additional comment

We have rounded the answers to 2 or 3 significant figures. In most cases, this is more than would be justified by the number of significant figures in the given measurements. For purposes of ongoing calculations, it is useful to keep intermediate results to at least 1 more significant figure than required for the answer.

When r= 1 , h=2.4 find r in terms of h

Answers

Answer:

r= 5/12 h

Step-by-step explanation:

r/h = 1/2.4

r =[tex]\frac{10}{24}[/tex]h

r=[tex]\frac{5}{12}[/tex]h

Can someone help me :

Answers

E is the answer I am pretty sure.

Enter your answer in the box.
What is the value of x?

Answers

Based on the shape and the angles already given in the diagram, the value of x must be 80°

The interior angles of a triangle must always add up to 180°

This means that the value of x is:

180 = 70 + 30 + x

180 = 100 + x

x = 180 - 100

x = 80°

In conclusion, x is 80°.

Find out more about the interior angles of a triangle at https://brainly.com/question/7888180.

i need helpppppp jsjfisisocjkdiwkdbgjc

Answers

Answer:

Triangle

sum of interior = 180

one interior = 60

all triangles will have a sum of 180

and since there are only three angles in a triangle that means 180/3 = 60 degrees will be in one angle.

order 2⁹, 5.9 × 10², 9³, 5⁴, 6.81 × 10¹ from least to greatest​

Answers

Answer:

2^9=512

5.9*10^2=590

9^3=729

5^4=625

6.81*10=68.1

6.81 × 10¹, 2⁹, 5.9 × 10²,  5⁴, 9³

Find the value of N the expression 24 : N = 12 : 17.

Answers

N=34
To solve this you figure out how they got the number 24 to be 12, in this case they divided by 2. So, to figure out what number divided by 2 equals 17, you multiply 17 by 2, which is 34.
I hope this helps, if you have any questions please feel free to ask! :)

Answer:

N = 34

Step-by-step explanation:

METHOD I

(hit and trial)

The given two ratios have to be equal.

This means, 24 : N must break down to 12 : 17 after dividing it by some common factor.

The common factor here is 2.

Since,

12 × 2 = 24

17 × 2 = 34

[tex] \boxed{\mathsf{ \underline{N \: must \: be \: 34}}}[/tex]

(after dividing the first ratio by 2(common factor) we get the second ratio. Meaning that they become equivalent as required by the question).

METHOD II

(mathematical approach)

Ratios can be written in form of fractions as:

[tex] \boxed{ \mathsf{ \frac{24}{N} = \frac{12}{17} }}[/tex]

Cross multiplying:

[tex] \implies \mathsf{24 \times 17 = 12 \times N }[/tex]

taking 12 to the denominator:

[tex] \implies \mathsf{ \frac{24 \times 17 }{12} = N }[/tex]

24 and 12 gets canceled and 2 takes up their spot

(why?

=> 24 ÷ 12 = 2)

[tex] \implies \mathsf{2 \times 17 = N } [/tex]

[tex] \implies \mathsf{2 \times 17 = N } [/tex]

[tex] \implies \mathsf{ N = 34 } [/tex]

[tex] \implies \mathsf{ N = 34} [/tex]

41 - 17=
i know it's 28 but i can't really do math

Answers

it’s 24 you can use a calculator
41 - 17 = 24
Ok done. Thank to me :>

What is the exact value of sin(-5 π/3)

Answers

Answer:

√3/2 is the correct answer. I hope this helps ^^

Step-by-step explanation:

Solve the inequality. Graph the solution 3x <-5/4 I just need help on graph

Answers

Step-by-step explanation:

Solution is already given:

3x  ≤ - 5/4x ≤ -5/12

Graph the inequality:

1. Select the point - 5/12 on the number line. Count 5 dots starting from zero going left. It is already divided by 12 parts.2. Make it full dot3. Add a line to the left from the dot

And you are done

3x≤-5/4x≤-5/12

So Graph it

Put a close dot on -5/12 as it's ≤ sign givenThen draw a arrow left wards as x is less than the close dot

K minus 10 over 2 = -7

Answers

Hey there!

k - 10/2 = -7

k - 5 = -7

ADD 5 to BOTH SIDES

k - 5 + 5 = -7 + 5

CANCEL out: -5 + 5 because that gives you 0

KEEP: -7 + 5 because it helps solve for the k-value

NEW EQUATION: k = -5 + 7

SIMPLIFY IT & YOU HAVE YOUR ANSWER!

k = -2

Therefore, your answer is: k = -2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

where is the √ 125 on a number line​

Answers

Answer:

im 11  and

Step-by-step explanation:

i just need points i have -32

Other Questions
write the correct word in the blackAM. IS. ARE. 2. They going to run now. 3. The flower pretty. 4. He from California. 5. They eating lunch. 6. She a teacher. 7. I Carlos. 8.I hungry. 9. He an underwater archeologist. 10. She sad. 11. You very tall 12. She surprised. 13. We 13 years old. 14. Jack from Colombia. 15. The dog black and small. 16. The door open. 17. My dad a doctor 18. Juan and Edgar friends. 19. My brother and i from Peru. 20. I a student at Jorge Mas Canosa. 21. Those nice jeans. 22. Jeans and sneakers casual. 23. A tie and suit formal. 24. My uniform new 25. My parents here. what is the difference between medicare supplement and medicare advantage plans The first three terms of an arithmetic sequence are as follows.28, 23, 18Find the next two terms of this sequence. 7. Which statement best describes food webs and food chains? 17. Solve for x: 3xyz = P (MAFS.912. A-CED.1.4)a. x = P-3-y-zb. x = P - 3yzPC. X =3yzad. x = P + y + 3 + z Recall what happens in one chapter of Seedfolks. Explain how that chapter supports a theme in the novel. )021 + 3 = 2 +Balancing equation Hemp help help math HELP!!!!!!!!!!!!!!!!!!!! Write about how life was like before corona transpired. Which nutrient provides the most energy, carbs or the nurtient that starts with an "F" because brainly keeps making me censor it. Help with number 3 please Someone help I need the answer what is the greatest common multiple of 9 and 27 Consider the points (-5,2) and (3,-9)What's the horizontal distance between the two points? Gabrielle's age is two times Mikhail's age. The sum of their ages is 54. What is Mikhail's age? Natural selection, adaptations, genetic variation, and population evolution are all related in terms of changes in phenotypes overtime. Evaluate which statement appropriately describes the relationship between the concepts of natural selection, adaptations,genetic variation, and population evolution and select the best choice.A)8)Genetic variation exists in a population. Some of the genetic variationresults in different phenotypes. The phenotypes that enhance survival arecalled adaptations. Individuals with well-adapted phenotypes are moreLikely to survive and reproduce, leading to population evolution overgenerations.Adaptations exist in certain individuals in a population. The increase inadaptations causes an increase in genetic variation. The adaptations thatenhance survival lead to larger populations, which further increasesgenetic variation. Individuals with well-adapted phenotypes are moreLikely to survive and reproduce, leading to population evolution overgenerations.Genetic variation is high in a population, but random events cause it todecrease. Populations with fewer individuals and lower genetic diversityare able to undergo natural selection when selective pressures are high.The increase in selective pressure causes an increase in adaptations thatare better suited for survival This results in an evolutionary change of apopulationSelective pressures exist in nature and cause changes in a population.Populations with high selective pressures have higher rates of geneticchange, leading to an increase in genetic variation, Increased geneticvariation leads to some individuals having well-suited adaptations. Thepresence of these new adaptations is evidence that the population haschanged, or undergone evolutionoD) Bun and cheese are very yummy. is this gramaticaly correct? Create a paraphrase of the following sentence from The Cold Equations:She held the letters out to him. Will you take care of these and see that theyre enveloped and mailed? Why do you thinkAlexander Hamiltonwanted to pay backthe bonds from theconfederationgovernment?