By means of <em>functions</em> theory and the characteristics of <em>linear</em> equations, the <em>absolute</em> extrema of the <em>linear</em> equation f(x) = - 3 · x + 3 are 27 (<em>absolute</em> maximum) for x = - 8 and - 9 (<em>absolute</em> minimum) for x = 4. (- 8, 27) and (4, - 9).
<h3>What are the absolute extrema of a linear equation within a closed interval?</h3>
According to the functions theory, <em>linear</em> equations have no absolute extrema for all <em>real</em> numbers, but things are different for any <em>closed</em> interval as <em>absolute</em> extrema are the ends of <em>linear</em> function. Now we proceed to evaluate the function at each point:
Absolute maximum
f(- 8) = - 3 · (- 8) + 3
f(- 8) = 27
Absolute minimum
f(4) = - 3 · 4 + 3
f(4) = - 9
By means of <em>functions</em> theory and the characteristics of <em>linear</em> equations, the <em>absolute</em> extrema of the <em>linear</em> equation f(x) = - 3 · x + 3 are 27 (<em>absolute</em> maximum) for x = - 8 and - 9 (<em>absolute</em> minimum) for x = 4. (- 8, 27) and (4, - 9).
To learn more on absolute extrema: brainly.com/question/2272467
#SPJ1
Sorry a bit messy, with a ratio of 2:5:1, that means 5 would be the longest and your longest piece is 125, diving 125 by 5 gets you 25 cm, this is also your shortest piece since 1x25=25
The solutions or roots to this equation is found by solving for x. We can do this a couple ways either by FOIL or quad formula
3x^2+6x+6=0
3(x^2+2x+2)=0
x^2+2x+2=0 we cant FOIL this out so we use the quad formula
x= [(-b+\-sqrt(b^2-4ac))/2a]
x= -2+\- sqrt(4-4(1)(2))/2(1)
x= -1 +i , -1 - i
So we have complex roots since our quad formula returned a negative number. Whenever the quad formula answer is positive we have two roots/solutions, when it is zero we have one root/solution, and whenever it is negative we have Complex roots/solutions
Hope this helps. Any questions please just ask. Thank you.
Answer:
Step-by-step explanation:
<u>Let the number is x, then we have:</u>
- 6x - 19 = 4x + 11
- 6x - 4x = 11 + 19
- 2x = 30
- x = 15
Answer:
The right solution is:
(a) 0.8849
(b) 12.28%
(c) 4.9935
(d) 28004
Step-by-step explanation:
Given:
Mean,
= 4.5
Standard deviation,
= 0.3
(a)
P(x > 4.14)
As we know,
⇒ 
then,
⇒ 
(b)
P(4.8 < x < 5.04)
= 
= 
= 
= 
= 
or,
= 
(%)
(c)
P(x > x) = 0.05
z value will be,
= 1.645
⇒ 
(d)
P(x < 5.01)
⇒ 
P(z < 1.70) = 0.9554
⇒ 
