1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nlexa [21]
3 years ago
8

Quadratic formula 2x²+9x-4=0

Mathematics
2 answers:
posledela3 years ago
5 0
2x^2+9x-4=0\ \ \ \ /:2\\\\x^2+\frac{9}{2}x-2=0\\\\x^2+2x\cdot\frac{9}{4}+(\frac{9}{4})^2-(\frac{9}{4})^2=2\\\\(x+\frac{9}{4})^2-\frac{81}{16}=2\\\\(x+\frac{9}{4})^2=\frac{32}{16}+\frac{81}{16}\\\\(x+\frac{9}{4})^2=\frac{113}{16}\iff x+\frac{9}{4}=-\sqrt\frac{113}{16}\ \vee\ x+\frac{9}{4}=\sqrt\frac{113}{16}\\\\x=-\frac{9}{4}-\frac{\sqrt{113}}{4}\ \vee\ x=-\frac{9}{4}+\frac{\sqrt{113}}{4}\\\\x=-\frac{9+\sqrt{113}}{4}\ \vee\ x=-\frac{9-\sqrt{113}}{4}
blondinia [14]3 years ago
4 0
2x^2+9x-4=0 \\ \\a=2 , b =9 , \ c=- 4 \\ \\\Delta = b^{2}-4ac = 9^{2}-4*2* (- 4)= 81+32 =113 \\ \\x_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{-9- \sqrt{113}}{4} \\\\x_{2}=\frac{-b+\sqrt{\Delta }}{2a} = \frac{-9+\sqrt{113}}{4}


You might be interested in
Someone please help me!
bija089 [108]

Answer:

A = 58

B =:25

Step-by-step explanation:

C = A + B

83 = 9x + 4 + 4x + 1

83 = 13x + 5

13x = 78

x = 78/13

x = 6

A = 9x + 4 = 9 x 6 + 4 = 58

B = 4x + 1 = 4 x 6 + 1 = 25

7 0
2 years ago
What is the andwer???
djverab [1.8K]

Answer:

3 and 11

Step-by-step explanation:

Given 2 sides with third side x , then

difference of 2 sides < x < sum of 2 sides , that is

7 - 4 < x < 7 + 4

3 < x < 11

Thus the possible values the third side cannot be are 3 and 11

4 0
2 years ago
The perimeter of a square is 20 feet. How long is each side?
Firdavs [7]

Answer:

5ft

Step-by-step explanation:

all sides of a square are equal and there are 4 sides so divide 20 by 4 and you get 5 ft

5 0
3 years ago
Read 2 more answers
If the weight (in grams) of cereal in a box of Lucky Charms is N(489,6), what is the probability that the box will contain less
Wittaler [7]

Answer:

0.000064 = 0.0064% probability that the box will contain less than the advertised weight of 466 g.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

N(489,6)

This means that \mu = 489, \sigma = 6

What is the probability that the box will contain less than the advertised weight of 466 g?

This is the p-value of Z when X = 466. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{466 - 489}{6}

Z = -3.83

Z = -3.83 has a p-value of 0.000064

0.000064 = 0.0064% probability that the box will contain less than the advertised weight of 466 g.

3 0
2 years ago
En un pozo petrolìfero produce cada dia 2680 barriles de petroleo. Si cada barril contiene 159 litros de petroleo, cuantos litro
Aliun [14]

Answer:

426,120 litros se producen en un día Se producen

12,783,600 litros por mes (para un cálculo de 30 días en un mes)

Step-by-step explanation:

Aquí, debemos calcular la cantidad en litros de petróleo producido en un pozo petrolero.

Se nos dice que se producen 2.680 barriles por día y cada barril contiene 159 litros de petróleo.

La producción diaria en litros es, por lo tanto, de 159 * 2680 = 426,120 litros.

Ahora, para la producción mensual, supongamos que hay 30 días en un mes, la cantidad en litros producidos por mes sería la cantidad diaria multiplicada por la cantidad de días en un mes.

Matemáticamente, eso sería 30 * 426,120 = 12,783,600 litros

4 0
3 years ago
Other questions:
  • 4 1/2 divided by 3/4 ( step by step plz)
    12·1 answer
  • 3. James drives for 5 hours at a certain speed and then for 4 hours at a speed 6 km/h greater than his original speed. If he dri
    7·1 answer
  • A bus travels 6 hours at a constant speed of 36 miles per hour.
    5·2 answers
  • Given 5 + 2 = 7, Choose the related addition sentence that shows the commutative property of addition.
    5·1 answer
  • I NEED HELP PLEASE THANKS
    10·1 answer
  • What is the value of 10 to the 6 power. A.10 B.600 C.1,000,000 D.6,000,000
    14·1 answer
  • A game show contestant lost 15 points. He answered another question incorrectly and lost another 15 points. How many total point
    6·1 answer
  • Calculate the surface area of the figure below.
    14·1 answer
  • I was born May 9, 1980. What is my approximate age in seconds?
    13·2 answers
  • Han followed these instructions to make the image.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!