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ollegr [7]
2 years ago
9

Solve quadratic equation 10x^2+x-2=0

Mathematics
1 answer:
zhuklara [117]2 years ago
8 0

Answer:

\{-\frac{1}{2} \} \cup \{\frac{2}{5}\}

Step-by-step explanation:

10x^2 + x - 2 = 0; \\ a = 10, b = 1, c = -2; \\ D = b^2 - 4ac = 1^2 - 4 * 10 * (-2) = 1 + 80 = 81 = 9^2, > 0; \\ x_{1, 2} = \frac{-b \pm \sqrt{D}}{2a} = \frac{-1 \pm \sqrt{9^2}}{2 * 10} = \frac{-1 \pm 9}{20} = \left \ [ {{\frac{-1 - 9}{20} = -\frac{10}{20} = -\frac{1}{2}  } \atop {\frac{-1 + 9}{20} = \frac{8}{20} = \frac{2}{5}}} \right.

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Oh and alsoo can someone plzzzzz add an explanation
Pani-rosa [81]

Answer:

Brian sold 35 tickets

Step-by-step explanation:

42/6 = 7

7 x 5 = 35

35/42 = 5/6

Brian sold 35 tickets

(I know this isn't part of the question, but Brain didn't sell 7 tickets)

5 0
3 years ago
If the average of x and y is 11 and the average of x, and y z is 5 what is the value of z
qwelly [4]

If the average of x and y is 11 and the average of x, y and z is 5, then the value of z is -7

Given,

The average of x and y = 11

We know average = Sum of the terms / Number of terms

Then, the equation will become

\frac{x+y}{2}=11
x+y =11×2

x+y =22

Average of x, y and z = 5

\frac{x+y+z}{3}=5

x+y+z = 5×3

x+y+z =15

Substitute the value of x+y

22+z=15

z =15-22

x = -7

Hence, If the average of x and y is 11 and the average of x, y and z is 5, then the value of z is -7

Learn more about average here

brainly.com/question/12984400

#SPJ4

6 0
1 year ago
1 . The lengths of the legs of a right triangle are 25 cm and 60 cm. What is the length of the hypotenuse?
Svetlanka [38]
a^{2}+ b^{2} = c^{2} that is, hypotenuse.
Therefore, let the length of the hypotenuse be 'x.' 
25^{2}+ 60^{2}= x^{2}
625+3600=x^{2}
4225=x^{2}
Therefore,
\sqrt{4225}=x
65=x
The length of the hypotenuse is B.65 centimetres.
8 0
3 years ago
What is 7,000,000,000 in scientific notation?
AVprozaik [17]
7.0 x 10^9 Is the answer
4 0
3 years ago
Molly bought a pair of gloves and a skirt. The gloves cost £4. She sold teh gloves and the skirt for a total of £48. She made 10
fomenos
A) Sale value = 48

Profit on the total cost = 20% = 0.20

=> Total cost + 0.20 total cost = Sale value

=> 1.20 total cost = 48

=> total cost = 48 / 1.20

=> total cost = 40

B) Cost of the gloves = 4

=> Cost of the skirt = total cost - cost of the gloves

=> Cost of the skirt = 40 - 4 = 36

C) Price of the skirt = total value - price of the gloves

Total value = 48

Price of the gloves = cost of the gloves + margin

margin of the gloves = 100% on the cost = cost

Price of the gloves = cost of the gloves * 2

Price of the gloves = 4 * 2 = 8

=> Price of the skirt = 48 - 8 = 40

D) Profit on the skirt = price of the skirt / cost of the skirt = 40 / 36 = 1.1111

Profit % = 11,11 %



6 0
3 years ago
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