Mathematics College

Solve the equation for all real solutions in simplest form.
3z^2+17z+16=0

Answers

Answer 1

Answer:

[tex]x=\frac{-17+\sqrt{97}}{6}[/tex], [tex]x=\frac{-17-\sqrt{97}}{6}[/tex]

Step-by-step explanation:

Use the quadratic formula to solve for all real solutions.

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

Plug in and solve:

[tex]x=\frac{-17\pm\sqrt{17^2-4(3)(16)}}{2(3)}\\\\x=\frac{-17\pm\sqrt{289-4(3)(16)}}{2(3)}\\\\x=\frac{-17\pm\sqrt{289-12(16)}}{2(3)}\\\\x=\frac{-17\pm\sqrt{289-192}}{2(3)}\\\\x=\frac{-17\pm\sqrt{97}}{6}\\[/tex]

Since that's the farthest we can simplify to, your answers would be the positive and negative versions of the expression:

[tex]x=\frac{-17+\sqrt{97}}{6}[/tex]

and

[tex]x=\frac{-17-\sqrt{97}}{6}[/tex]

Related Questions

The position of a particle on a straight line is given by s(t) = 3 – cos(t).
A. Find velocity and acceleration at t = 4.3 s.
Round your answers to 2 decimal(s).
v(t) =
a(t) =

Answers

Given the position function

s(t) = 3 - cos(t )

differentiate once to get the velocity, and twice to get the acceleration:

v(t) = s'(t) = sin(t )   →   v (4.3 s) ≈ -0.92

a(t) = s''(t) = v'(t) = cos(t )   →   a (4.3 s) ≈ -0.40

The acceleration is negative, so the particle is slowing down.

You and some friends are at a Chinese restaurant. You order several `\$2.00` plates of wontons. Your bill is `\$24`. How many plates of wontons did you order?

Answers

Answer:

12

Step-by-step explanation:

It does not say what the tax is so the answer would be 12. You just divide 2 by 24.

Answer:

12

Step-by-step explanation:

24 divided by 2 is 12 or 2 times 12 is 24

mark me brainliest

Lisa purchased almonds for $3.50 per pound here
de and your estimate
2450 How many pounds of almonds did she
purchase?

Answers

700 pounds of almonds
The awnser would be 700 pounds of almonds
Heart and comment.

I need help with math

Answers

Answer:

6:3

Step-by-step explanation:

Write the missing decimal so that each pair adds to 1/2 + ...= 1

Answers

Answer:

0.5

Step-by-step explanation:

1/2 + 0.5 = 1

I need the answer too all of these:

1. 7x + 1x = ?

2. 6 + 1 + 5x = ?

3. 4x + 7x + 3 - 2 = ?

4. 6x + 6 + 8 + 1x = ?

5. 7x - 7x + 2 = ?

6. 3x + 6 + 1x = ?

7. 8- 8x - 3 = ?

8. 2x - 5 + 2 =


HELP ASAPP ​

Answers

1. 8x
2.5x+7
3.11x+1
4.7x+15
5.2
6.4x+6
7.8x-11
8.2x-3
1.) 8x

2.) 7 + 5x

3.) 11x + 1

4.) 7x + 14

5.) 2

6.) 4x + 6

7.) 8x - 5

8.) 2x - 3

30 %of 50 pidhdbdjduwywggdhfnfjrhdvdvdndjdjf​

Answers

Answer:

15

Step-by-step explanation:

50 x .3

Answer:15

Step-by-step explanation:

Can someone please help me with my math homework?

Answers

Where’s the picture
Other Questions
La suegra de Sandra (hablar) con Santiago porque quera conocerlo.habliahablabashablabahablabamos Provide examples of the difference between subculture and culture Additional Information Check No. 5904 is correctly drawn for $2,090 to pay for computer equipment; however, the recordkeeper misread the amount and entered it in the accounting records with a debit to Computer Equipment and a credit to Cash of $2,060. The NSF check shown in the statement was originally received from a customer, S. Nilson, in payment of her account. Its return has not yet been recorded by the company. The credit memorandum (CM) is from the collection of a $1,500 note for Chavez Company by the bank. The bank deducted a $15 collection expense. The collection and expense are not yet recorded. help ASAP! will give brainiliest:)!_______why does Katniss reacts the way she does when Rue dies? (hint- think about eyes age and what Katniss is fighting for/motivated to keep going)________A) Katniss is relieved because there is one less tribute she has to worry about at the endB) Katniss is devastated because Rue was young and innocent, much like her sister Rue. she imagined what it would be like if prim had gone into the gamesC) kinds is angry at peeta as he is was the one who killed Rue and now she must kill him Please help! I really need help on this! Which expression is equivalent to -3(m + 5)?A: m - 15.B: -3m + 5.C: -3m - 15.D: - 15m. please help will mark brainliest. random answers will be reported You and some friends are at a Chinese restaurant. You order several `\$2.00` plates of wontons. Your bill is `\$24`. How many plates of wontons did you order? What would happen if a second universal flood occurs? If a section of DNA has 15% thymine, how much adenine will it have? 1. 15%2. 30%3. 60%4.85% Which of the following objects absorbs the most light? Which is an example of physical weathering ?limestone in rock dissolving when acid rain flows across itbits of rock rusting when exposed to oxygen and waterwind blowing off bits of a rock over timeoxidation of certain metals in rock What will determine whether or not mutations will be passed to offspring? Un elev a depus la banca suma de 250 lei. tiind ca banca ofer dobnda anuala de 1%,iar staia impoziteaz dobnda cu 16%,aflati ce suma va avea elevul dup un an de depunere. Write the missing decimal so that each pair adds to 1/2 + ...= 1 I need the answer too all of these:1. 7x + 1x = ?2. 6 + 1 + 5x = ?3. 4x + 7x + 3 - 2 = ?4. 6x + 6 + 8 + 1x = ?5. 7x - 7x + 2 = ?6. 3x + 6 + 1x = ?7. 8- 8x - 3 = ?8. 2x - 5 + 2 =HELP ASAPP Mrs Jenkins buys a car for 3400.She sells it for 3800.Work out her percentage profit. 30 %of 50 pidhdbdjduwywggdhfnfjrhdvdvdndjdjf 4. Which of the following application of Maslow's theory of Hierarchy ofNeeds best aligns with its intended purpose? Four friends shopped at the Sale Depot for movies. Robby went on Monday and bought three movies for $15.36. Paula went on Wednesday and bought five movies for $27.40. Trey went on Thursday and bought four movies for $20.08. Madison went on Friday and bought six movies for $31.44.