What are the solutions to this quadric equation? -2x^2 + x + 4 = 0

Answers

Answer 1

Answer:

(1-[tex]\sqrt{33}[/tex])/4 and (1+[tex]\sqrt{33}[/tex])/4

Step-by-step explanation:

-2x^2 + x + 4 = 0

use quadratic formula x= (-b±[tex]\sqrt{b^{2} -4ac}[/tex] ) / 2a

a=-2

b=1

c=4

x= (-1±[tex]\sqrt{1^{2} -4(-2)(4)}[/tex] ) / 2(-2)

x=(-1±[tex]\sqrt{33}[/tex] ) / -4

x=(1 -[tex]\sqrt{33}[/tex]) / 4 and (1 +[tex]\sqrt{33}[/tex]) / 4


Related Questions

Phil sold 11 small boxes and 10 large boxes of tangerines for a total of $146. Nick sold 5 small boxes of tangerines and 12 large boxes of tangerines for a total of $126.

Answers

Given :

Phil sold 11 small boxes and 10 large boxes of tangerines for a total of $146.

Nick sold 5 small boxes of tangerines and 12 large boxes of tangerines for a total of $126.

To Find :

The price of each small box and large box.

Solution :

Let, price of small box is x and large box is y.

Mathematical expression of given equations :

11x + 10y = 146     ...1)

5x + 12y = 126     ...2)

Solving above equation, we get :

x = 6 and y = 8

Therefore, price of small and large box is $6 and $8 respectively.

Hence, this is the required solution.

A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves.

Which equations and solutions describe the situation? Select two options.

Answers

Answer:

$11.50 is being split among the 8 friends

Step-by-step explanation:

76 + 16 = 92

92/8 = 11.5

Answer:

A and C

Step-by-step explanation:

1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.

2) The solution x=60 represents the total food bill.

Write the equation of the line that passes through the points (-6, 9) and (0, -9).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Help‼️

Answers

Answer:

slope(m)= -3

Step-by-step explanation:

Nathan took his car in for service and repairs. He had a coupon for 10% off.

Original Prices
• Labor $254.58
• Parts $333.90
• Other $64.42

Which amount is closest to Nathan's total costs after the 10% discount and including 6% sales tax? [Assume tax is applied after the discount is applied.]

Answers

Answer:

$594.21

Step-by-step explanation:

Because 254.58 + 333.90+ 64.42= $622.87

and 10 off of $622.87 = $560.58

and 6% sales tax to $560.58 = $594.21

someone knows what number multiplied twice by the same can give me results 203!!!!!

Answers

Answer:

i will help you.......

Solve by making a proportion. If seven movie tickets cost $57.40, how much would 5 tickets cost?

PLSSS i need help

Answers

Answer: $41

work out what one ticket is:

$57.40/7=$8.20

and then multiply by 5

$8.20*5=41

Answer:

$41

Step-by-step explanation:

Geometry help don’t take points if I get 70%+ I’ll give some away!!

Answers

The answer is x = 30

Place the numbers on the number line. %, -2,-, 1.5, -1.25
Number Lines
-2
0
1
No

Answers

0 because that would be next

Rewrite the product as a power: [tex]x^{7} y^{7}[/tex]

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] {x}^{7} {y}^{7} = ({x \times y})^{7} = ({xy})^{7} [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer: ❤️❤️(x*y) 7

=(xy) 7

Pierre, an art dealer, earns 25% commission of the art pieces he sells. He earned $10,800 this month. What is the total amount of the art pieces he sold?

Answers

Answer:

2700

Step-by-step explanation:

25 percent of 10800 is 2700. hope this helped, this was a bit rushed!xx

Answer:

sry I need points

Step-by-step explanation: If you hadn't done it to me I wouldn't do it to you

Need help ASAP!! Plz help me

Answers

x=15.5

(8x-4)+60=180
8x+56=180
8x=124
x=15.5

Graph a line that contains the point (3,-6) and has a slope of
2
khan academy i need it!!

Answers

Answer:

[tex]\boxed {\boxed {\sf y= 2x-12}}[/tex]

Step-by-step explanation:

We are given a slope and a point, so we can use the point-slope equation.

[tex]y-y_1=m(x-x_1)[/tex]

where m is the slope and (x₁, y₁) is the point.

The slope is 2 and the point is (3,-6).

[tex]m= 2\\x_1=3 \\y_1=-6[/tex]

Substitute the values into the formula.

[tex]y--6=2(x-3)[/tex]

[tex]y+6=2(x-3)[/tex]

Distribute the 2 on the right side of the equation.

[tex]y+6=(2*x)+(2*-3)[/tex]

[tex]y+6=2x-6[/tex]

We want to get the line into the form: y=mx+b. We have to isolate y on one side of the equation. 6 is being added to y. The inverse of addition is subtraction; subtract 6 from both sides of the equation.

[tex]y+6-6=2x-6-6[/tex]

[tex]y=2x-6-6[/tex]

[tex]y=2x-12[/tex]

The line is y=2x-12 (slope=2 and y-intercept=-12)

The Lakewood wildcats won 5 of their first 7 games this year.There are 28 games in the season.About how many games would you expect the Wildcats to win this season?

Answers

Answer:

7 equal to 5

1 equal to 5/7

28 equal to 5/7*28=20

Step-by-step explanation:

if a square has an area of 324 ft what is the length of each side

Answers

Answer:

162

Step-by-step explanation:

324/2 because a square has sides that are all equal, so the area is 2 times the length of a side

Answer:

18 ft.

Step-by-step explanation:

area = L²    where area = 324 ft²

324 = L²

L = √324

L = 18 ft.

PLEASE HELP URGANT The vertices of a rectangle are R(–5, –5), S(–1, –5), T(–1, 1), and U(–5, 1). A translation maps R to the point (–13, –9). Find the translation rule and the image of U.

Answers

Answer:

translation -(-7, -4)

Una jarra vacia pesa 0.64 kg, llena de agua 1.728 kg. ¿Cuánto pesa el agua?

Answers

Answer:

Pesa 1.088kg

Step-by-step explanation:

Peso jarra vacía --> 0.64kg

Peso jarra llena de agua --> 1.728kg

Peso agua = peso jarra vacía - peso jarra llena

Peso agua = 1.728kg - 0.64kg = 1.088kg

Peso agua= 1.088kg

1.) Use the following information to solve the questions. Kay sold 200
tickets for her school auction. Adult tickets cost $8 and child tickets cost
$5. Kay collected $1,225 in all. How many tickets did Kay sell?
8
5
200
O 1,225

Answers

9514 1404 393

Answer:

75 adult tickets125 child tickets

Step-by-step explanation:

Let 'a' represent the number of adult tickets sold. Then (200-a) is the number of child tickets sold, and the revenue is ...

  8a +5(200 -a) = 1225

  3a = 225 . . . . . . . . . . subtract 1000, simplify

  a = 75 . . . . . . . . . . . . .divide by 3

  200 -a = 125

75 adult ($8) and 125 child ($5) tickets were sold.

__

Additional comment

The question asked here is "how many tickets did Kay sell?" The second line of your problem statement tells you the answer: "Kay sold 200 tickets ...". We have assumed that you are interested in the breakdown of tickets sold, even though that is not the question that is asked here.

What is the value of the underlined digit?

5,682, 450,003

A. eighty thousand
B. eighty million
C. eighty-two million
D. eighty billion

Answers

There’s none underlined but I’m guessing you mean by Letter C being the answer.

Annette drove 24 miles in 60 minutes. Which is the simplest form of 24/60?

Answers

Answer:

2/5

Step-by-step explanation:

24/60= 2/5 (If divided by 12)

Rollin and Sandra want to buy a home priced at $265,000. They plan to finance this amount less the down payment
required. Rollin and Sandra have a combined annual income of $83,600 and have saved $53,000. They have a
recurring debt of $582. Use a 20% down payment and the 28/36 ratio to determine if Rollin and Sandra are eligible for
a loan. What would you advise them to do if they are not eligible?

Answers

Answer:

Rollin and Sandra will not be eligible for a loan. Since 20% of $265,000 is $53,000, they have the required down payment.The recurring debt they have exceeds the allowable amount of $557. Rollin and Sandra should work on reducing their recurring debt.

Step-by-step explanation: this is what i put on the practice

Based on the 28/36 rule, the Rollin and Sandra family are eligible for the mortgage loan of $212,000.

Data and Calculations:

Price of home = $265,000

Required down payment = 20% or $53,000

Amount saved = $53,000

Combined annual income of Rollin and Sandra = $83,600

Recurring debt = $582 per month

Annual recurring debt = $6,984 ($582 x 12)

The Rollin and Sandra family will need to finance $212,000 ($265,000 - $53,000) of the home price.

At 6% interest rate for 30 years, the Rollin and Sandra household will pay $1,271.05 monthly or $15,252.60 yearly.  This gives a total annual debt payment of $22,236.60 ($6,984 + $15,252.60).

Thus, based on the 28/36 rule, the Rollin and Sandra family are eligible for the mortgage loan of $212,000.

Learn more about the 28/36 rule and eligibility for mortgage loan here: https://brainly.com/question/8409309

What vector describes the transition depicted below !! Please help !!!

Answers

Answer:

vector v(4;-3)

Step-by-step explanation:

A square with a side length of 4 inches is dilated by a scale factor of 3/2. What is the length of a side of the dilated
square?

Answers

The answer is 6 inches

WILL MARK BRAINLIEST!!!

Answers

Answer:

b

Step-by-step explanation:

count two up, and 5 to the right

2 right triangles have identical angle measures but different side lengths. The first triangle has side lengths of 6, 10, 8 and the second triangle has side lengths of 3, 5, 4. Which transformation maps the large triangle onto the small triangle?

Answers

Answer:

The transformation is 0.5

Step-by-step explanation:

The lengths of the second triangle is just half the length of the first triangle, from the center. As it is just resizing, the angles would not change, resulting in the same triangle, except for size.

Answer:

A- Dilation

Step-by-step explanation:

It doubles the length for all sides of the small traingle.

f(x) = − 1
2
x for x = –6

Answers

Here is the explanation

Answer:

Your an idiot and i oop hahahahah thats what u did on my question. YOUR AN IDIOT UR A IDIOT U SUCK.

Step-by-step explanation:


Determine whether each quadrilateral must be a parallelogram & justify your answer.

Answers

Yes - opposite lines are parallel
Yes - a pair of opposite liens are parallel and a pair of opposite angles are parallel

Tyra has 1223 cups of sugar. If r is the amount of sugar called for in one batch of cookies,
the expression 1223 ÷ r can be used to find how many batches Tyra can make with the sugar she has.
If r is 23 cup, how many batches of cookies can Tyra make?
Enter your answer in the box.

Answers

Answer:

hold on almost got it

Step-by-step explanation:

Answer:

19

i dont need any code or stuff

i just wan to help    

3a+6b-a-9b please help!

Answers

Answer: 2a - 3b
You can try rearranging it , it’ll be easier I think :)
3a + 6b - a - 9b
= 3a - a + 6b - 9b
= 2a - 3b

Malika, Keshia, and Aliyah Smith are each 2 years apart in age. The sum of their ages is greater than the age of their father, who is 65. How old can the oldest sister can be?

Answers

Answer:

24?

Step-by-step explanation:

If you add 20, 22, and 24, you get 66. I dont know if this helped.

Tickets for the school play cost $7 each. Each member of the cast gets 1 free ticket for a family member. For the run of the play, 210 tickets are collected, including all the free tickets, and the box office makes $1,358 from ticket sales. The equation that models this situation is7(210 – c) = 1,358 where c is the number of cast members. How many cast members are in the play?

Answers

Answer:

there are 16 cast members.

Step-by-step explanation:

7(210-c)=1358 multiply everything in the parentheses by 7

1470-cx=1358

-7c=-112 subtract 1470 from both sides

c=16 divide -112 by -7

c=16

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