In math, there is always something called the discriminant. This is represented by the equation $b^{2} -4ac$ , when a quadratic = $ax^{2} + bx + c$ . The discriminant tells you what roots an equation has. A discriminant of over 0 represents 2 real roots, a discriminant of 0 = 1 real root, and a discriminant of <0 is 0 real roots (2 complex roots)

Now, substitute in the values and solve. In this equation, a = 5, b = 2, c = 1.

$b^{2} -4ac$

$2^{2} -4(5)(1)$

$4 - 20$

$-16$

Therefore, the discriminant is -16. This means that the equation has no real roots, and has 2 complex roots. Therefore, your answer is D.

Hope this helps!

5 0

2 years ago

Target is having a holiday sale and is marking down

BaLLatris [955]

Answer:

$375

Step-by-step explanation:

Convert the 25% discount into a decimal, which is 0.25
Multiply the original listed price ($500) by the discount as a decimal (0.25), which is $125
Subtract the original list price ($500) by $125 (the discount as a number). This is $375, which is the answer.

7 0

2 years ago

Read 2 more answers

Write the ratio in simplest form in both fractions and in decimal form.

ValentinkaMS [17]

Answer:

Step-by-step explanation:

3 : 12

Both have table of 3 in common so

1 : 4 or 1/4

4 : 64

Both have table of 4 in common