Answer:
Slope is positive for all x, so always increasing
Step-by-step explanation:
Increasing/decreasing depends on the slope of the function, which is f'
f'(x) = 9x² + 18x + 25
If f'(x) > 0 for all x, then his claim is correct (increasing for all x)
If there's even 1 x-value for which f'(x) is not positive, his claim is incorrect
f'(x) is a quadratic function.
9x² + 18x + 25
9(x² + 2x) + 25
9(x² + 2(x)(1) + 1² - 1²) + 25
9(x + 1)² - 9 + 25
9(x + 1)² + 16
Since the minimum value of f' is 16, it's always positive.
Hence, the claim is correct
{ 2 x + 4 y = 12
y = 0.25 x -3
Arrange equation variables of elimination :
{ 2 x + 4 y = 12
-0.25 x + y = - 3
Multiply ( -0.25 x +y = - 3 ) by 8 :
8y - 2 x = - 24
{ 2 x + 4y = 12
-2x + 8y = -24
----------------------
12 y = -12
y = - 12 / 12
y = - 1
For x :
2 x + 4y = 12
2 x + 4 ( - 1 ) = 12
2 x - 4 = 12
2 x = 12 + 4
2 x = 16
x = 16 / 2
x = 8
x = 8 and y = - 1 => ( 8 , - 1 )
Answer b
hope this helps!
32
Sorry, I couldn't really think of a way to explain but the best I can is by multiplying the 4 by 8 to get the answer of 32
Answer:
Option E
Step-by-step explanation:
This survey will not be reliable as it is chosen for convenience; the first 120 students to arrive in school on a particular morning and this collection of individuals may not be a representative of the population. The study may become biased because it does not take into account the latecomers among the students which might have been changed the study from systematically favoring certain outcomes.
36.91 is the answer 67.1x.55
