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Klio2033 [76]
3 years ago
9

What is the value of the discriminant for the quadratic equation 0 = x + 2 + x^2?

Mathematics
1 answer:
aliya0001 [1]3 years ago
5 0

Answer:

The discriminant of the quadratic equation is -7.

Step-by-step explanation:

We are given the following quadratic equation in the question:

x^2+x+2 = 0

Comparing to general quadratic equation:

ax^2+bx+c = 0\\a = 1\\b = 1\\c = 2

We have to find the discriminant of the quadratic equation.

Formula:

d = b^2-4ac

Putting values, we get,

d = (1)^2 - 4(1)(2) = 1 - 8 = -7

Thus, the discriminant of the quadratic equation is -7.

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Two workers, a trainer and a trainee, working together can do a job in 3 hours. The trainer is 3 times faster than the trainee t
Flauer [41]

Answer:

4 hours

Step-by-step explanation:

Ratio of working together

Job : number of hours

1 : 3 = 1/3

Trainer

Job : number of hours

1 : x = 1/x

Trainee

Job : number of hours

1 : 3x = 1/3x

1/x + 1/3x = 1/3

Multiply through by 3x

3x(1/x) + 3x(1/3x) = 3x(1/3)

3 + 1 = x

4 = x

x = 4 hours

It takes the trainee 4 hours to finish the job

4 0
3 years ago
What is the volume of a rectangular prism with length 7 in., height 3 in., and width 8 in.?
Olegator [25]
All you do is multiply all the numbers together, and you get V = 168
7 0
4 years ago
Read 2 more answers
What is the slope of the line 4x + 7y = - 35?
sasho [114]

Answer:

-4x/7

Step-by-step explanation:

4x + 7y = -35

7y = -4x - 35

y= -4x/7 - 35/7

y= -4x/7 - 5

-4/7 (the slope is the x equation)

5 0
3 years ago
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Consider the line y = 1/4 - 5/4 x<br> Slope of a parallel line<br> Slope of a perpendicular line
gladu [14]

Answer:

parallel line slop2 = -5/4

perpendicular line slope = 4/5

Step-by-step explanation:

If 2 lines are parallel, they will have equal slopes.

Therefore, the slope of a line parallel to y = 1/4 - 5/4 x will be -5/4

If 2 lines are perpendicular, their slopes are negative reciprocals of each other.  So the slope of the perpendicular line = -1 ÷ -5/4 = 4/5

7 0
2 years ago
Which expression represents the value of the series below?<br> 3+ 7 + 11 + 15 + ... + 1,671
torisob [31]

Answer:

Step-by-step explanation:

This is an Arithmetic Series with common difference 4 and first term 3

so the nth term an = 3 + (n -1)4

= 4n - 1.

The sum of n terms

= n/2 (a1 + L)

= n/2(3 + 1671)

=  837n.

There are (1671-3) / 4 + 1 = 418 terms in the series,

so the total value of the series is 837*418

= 349,866.

.

4 0
2 years ago
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