use the discriminant to determine the number and type of solutions for the following equation. 2x2 + 14x + 11 = 0 a) there are zero rational solutions b) there is one rational solution c) there are two rational solutions d) there are two irrational solutions

Hello!

The discriminant of a quadratic function is found by using this formula:

D = b² - 4ac

Once you substitute the values into the formula, there are three ways your answer can be interpreted.

1. If the discriminant is positive, then there are two rational solutions.

2. If the discriminant is negative, then there are no rational solutions.

3. If the discriminant is equal to zero, then there is only one rational solution.

Given the equation, 2x² + 14x + 11 = 0, a = 2, b = 14, and c = 11.

14² - 4(2)(11)

196 - 88 = 108

Since the discriminant, 108, is a positive integer, the answer is C, there are two rational solutions.

its two irrational solutions!

Step-by-step explanation:

I just took the test and this  was the correct answer.

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.