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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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Which of the following represents the equation of the line passing through (-4,5)
Sergio [31]

Answer:

Answer: y=2x+13.

Step-by-step explanation:

Your input: find the equation of the line perpendicular to the line y=5/2−x/2 passing through the point (−4,5).

The equation of the line in the slope-intercept form is y=5/2−x/2.

The slope of the perpendicular line is negative inverse: m=2.

So, the equation of the perpendicular line is y=2x+a.

To find a, we use the fact that the line should pass through the given point: 5=(2)⋅(−4)+a.

Thus, a=13.

Therefore, the equation of the line is y=2x+13.

Answer: y=2x+13.

5 0
3 years ago
Three times as many children as adults attended a concert on Saturday. An adult ticket cost $7 and a child’s ticket cost $3. The
Ierofanga [76]

For this case we propose a system of equations:

x: Let the variable representing the number of children in the concert

y: Let the variable representing the number of adults at the concert

According to the assistance we have:

x = 3y

According to the cost we have:

3x + 7y = 6000

Substituting the first in the second equation we have:

3 (3y) + 7y = 6000\\9y + 7y = 6000\\16y = 6000\\y = \frac {6000} {16}\\y = 375

Thus, the concert was 375 adults.

On the other hand we have:

x = 3 (375) = 1125

Thus, the concert was 1125 children.

In total they were:

375 + 1125 = 1500 people

ANswer:

The concert was 1500 people

3 0
3 years ago
Stem of Equations<br> Substitute (2, 1) into x + 3y = 5 to get<br> =
algol [13]

Answer:

see below!!

Step-by-step explanation:

x + 3y = 5,

y = –x + 3

Substitute the point into each equation and verify that it is true

x + 3y = 5,  2 +3(1) = 5   5 = 5  true

y = -x +3    1 = -2+3     1=1  true

(2,1) is a solution

6 0
2 years ago
The information shows the last 32 responses from a scale of 1 to 10 of customer service at a retail store.
Paha777 [63]

Answer:1

Step-by-step explanation:heheh

4 0
2 years ago
Find the solutions of the quadratic equation 2x2 + 6x - 2 = 0.
nekit [7.7K]

Sorry didn't know how to write the answer so I just took a screen shot of my answer for you!

6 0
3 years ago
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