What is the discriminant of the quadratic equation, 4x^2-8x-5=0

Step-by-step explanation:

4x^2-8x-5=0

The discriminant is the number under the √. In this case it's 144

Step-by-step explanation:

For a quadratic in standard form, the discriminant is given by:

We have the equation:

Hence, our a=4; b=-8; and c=-5.

Substituting into our formula, we acquire:

Evaluate:

Add:

Therefore, our discriminant is 144.

Notes:

Since our discriminant is a positive value, this tells us that our quadratic has two real roots.

the f

last graph i believe

step-by-step explanation:

worked it out i believe

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40