Discriminant D is given by:
D=b²-4ac
Implication of discriminant is as follows:
D<0 two zeros that are complex conjugate
D=0 one real zero of multiplicity 2
D>0 two distinct real zers
D= (+ve perfet square) two distinct rational zeros
From:
12x^2+10x+5=0
plugging in the equation we get:
10²-4×12×5
=100-240
=-140
thus
D<0
Answer is:
<span>A two irrational solutions </span>
The graph of the solution set for the inequality can be seen below.
<h3>How to graph the solution set?</h3>
Here we have the inequality:
3x - 2y < -12
If we isolate y, we get:
3x + 12 < 2y
(3x + 12)/2 < y
(3/2)x + 6 < y
Now, we just need to graph the line y = (3/2)x + 6 with a dashed line (because the points on the line are not solutions).
And then we need to shade the region above the line.
The graph of the solution set can be seen below.
If you want to learn more about inequalities:
brainly.com/question/18881247
#SPJ1
Answer:
27
Step-by-step explanation:
Answer:
x = -2.44
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 10x from both sides:
x (-10x) = 22 + 10x (-10x)
x - 10x = 22
-9x = 22
Isolate the variable, x. Divide -9 from both sides:
(-9x)/-9 = (22)/-9
x = 22/-9
x = -(22/9)
x = -2.44 (repeating).
x = -2.44 (rounded) is your answer.
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