5/20=25/100=1/4 you can't simplify anymore therefore 1/4 is the answer
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).
To learn more on quadratic equations: brainly.com/question/2263981
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Answer:
<h2>0.05x+11<27 for x<=320</h2>
Step-by-step explanation:
Step one:
Plan 1
charges = $27 monthly
the total charges is expressed as
y=27------1
Plan 2
charges= $11 monthly
extral= $0.05 per call
let x be the number of calls
the total is expressed linearly as
y=0.05x+11--------2
Step two:
equating 12 and 2 we have
27=0.05x+11
collect like terms
27-11=0.05x
16=0.05x
divide both sides by 0.05
x=16/0.05
x=320
the inequality for which plan A is more economical is
0.05x+11<27 for x<=320
Answer:x=-3 y=26
Step-by-step explanation:
3x+y=17.............(1)
x+2y=49..............(11)
From (11) x=49-2y
Substitute x=49-2y in 3x+y=17
3(49-2y) + y=17
Open bracket
147-6y+y=17
147-5y=17
Collect like terms
5y=147-17
5y=130
Divide both sides by 5
5y/5=130/5
y=26
Substitute y=26 in x+2y=49
x+2(26)=49
x+52=49
Collect like terms
x=49-52
x=-3
Answer:
4x + 5y = 15
-4x + y = 7
6y = 22
y = 22/6 = 11/3
-4x + 11/3 = 21/3
-4x = 10/3
x = -40/3
Step-by-step explanation: