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siniylev [52]
3 years ago
12

2xsquared-9x+1=0 value of discriminant and number of real solutions

Mathematics
1 answer:
shtirl [24]3 years ago
7 0

Answer:

• discriminant: 73

• # of real solutions: 2

Step-by-step explanation:

Comparing the equation ...

2x^2 -9x +1 = 0

to the generic form ...

ax^2 +bx +c = 0

we find the coefficient values to be ...

a = 2; b = -9; c = 1

That makes the value of the discriminant, (b^2 -4ac), be ...

(-9)^2 -4(2)(1) = 81 -8 = 73

Since the discriminant is positive, the number of real solutions is 2.

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Question 2
xz_007 [3.2K]

The correct answer is: x = 8 (Option D)

Explanation:

Given ΔABC≅ΔDFE (Triangle ABC is congruent to triangle DFE).

It means that angle B is congruent to angle F, and C is congruent to E ( likewise A is congruent to D). By using this argument, we can say that, BC≅FE. Consequently, we can safely say that the lengths of those sides are also equal in measure. Therefore,

BC = 20

FE = 3x - 4

Since,

BC = FE (By using congruence statement mentioned above)

20 = 3x - 4

3x = 20+4

3x = 24

x = 8

Hence the correct answer is: x = 8

6 0
3 years ago
What is 840 inches converted to centimeters
lora16 [44]
2133.6 centimeters i hope i help you
6 0
3 years ago
Which of the following best describes the equation below?
Reika [66]
4(x + 9) + 5x = 9x - 36

=> 4x + 36 + 5x = 9x - 36

=> 9x + 36 = 9x - 36

=> 9x - 9x = -36 - 36

=> 0 = -72

You can see that the equation doesn't hold true.

So there is no solution for this equation.

Answer is C. no real solutions
5 0
4 years ago
90 3/7 was a demical
LenKa [72]
90.42857143 or
90.4 to nearest decimal
6 0
3 years ago
The base fare per ride on the MTA bus or subway is $2.75, but you get a 5% discount with a purchase. A weekly unlimited MetroCar
Nikolay [14]

"13" or "more than 13" rides will make the weekly unlimited pass more cost effective. A further solution is provided below.

The given values are:

  • Base fare per ride = $2.75
  • Discount = 5%
  • Weekly unlimited Metro Card costs = $32

The Fare after discount will be:

= 2.75\times \frac{100-5}{100}

= 2.75\times \frac{95}{100}

= 2.75\times 0.95

= 2.6125 ($)

hence,

In $32, the minimum number of rides will be:

= \frac{32}{2.6125}

= 12.24

or,

= 13

Learn more:

brainly.com/question/6439224

4 0
3 years ago
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