Answer:
x>9 this is the correct answer
Answer:
Mom=30 Daughter=6
Step-by-step explanation:
M=5×D
M+6=3×D
5D=3D-6
2D=6
D=12
M=12×3=36
Now: D=12-6=6
M=36-6=30
The different expressions that represent the price of the item after tax will be p + 6/100p and p + 0.06p.
<h3>How to illustrate the expression?</h3>
The first expression will be:
= p + (6/100 × p)
= p + 6/100p
The second expression will be:
= p + (6% × p)
= p + 0.06p
It should be noted that both expressions are equal.
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Answer:
20.04
Step-by-step explanation:
He marked it down to 67%. Not up
The <em>quadratic</em> equation 3 · x² + 7 · x - 2 = 0 has a <em>positive</em> discriminant. Thus, the expression has two <em>distinct real</em> roots (<em>real</em> and <em>irrational</em> roots).
<h3>How to determine the characteristics of the roots of a quadratic equation by discriminant</h3>
Herein we have a <em>quadratic</em> equation of the form a · x² + b · x + c = 0, whose discriminant is:
d = b² - 4 · a · c (1)
There are three possibilities:
- d < 0 - <em>conjugated complex</em> roots.
- d = 0 - <em>equal real</em> roots (real and rational root).
- d > 0 - <em>different real</em> roots (real and irrational root).
If we know that a = 3, b = 7 and c = - 2, then the discriminant is:
d = 7² - 4 · (3) · (- 2)
d = 49 + 24
d = 73
The <em>quadratic</em> equation 3 · x² + 7 · x - 2 = 0 has a <em>positive</em> discriminant. Thus, the expression has two <em>distinct real</em> roots (<em>real</em> and <em>irrational</em> roots).
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