find the discriminant of the quadratic equation x2 + 14x + 8 = 0 and use it to determine the number and types of solutions.

b2 − 4ac

228; two real solutions
228; one real solution
164; two nonreal solutions
164; two real solutions

D

Step-by-step explanation:

discriminant=b^2-4ac=14²-4×1×8=196-32=164>0

two real solutions.

I believe the answer is 164; Two real solutions

Explanation: I did the work and plugged in the numbers into b^2 - 4ac and got 164.

c. 65°

step-by-step explanation:

we are given a triangle with two known angles, 62° and 53°, while the third angle x is unknown and we are to find its value.

we know that the sum of angles in a triangle is equal to a total of 180 degrees. so we can write it as:

x + 62° + 53° = 180°

solving to find the value of x:

x = 180 - (62 + 53) = 65°

therefore, the value of x in this triangle is 65°.

step-by-step explanation:

from the graph attached below:

domain of graph is the value of x for which the given function profit function p(x) is defined.

(a) the domain represents the number of years for which the outlet will earn a profit.

range of profit function defines the lowest to highest value of profit earned.

(b) the range of this function is (0 , 160 ). for this function, the range represents the outlet's profit earned.