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
Answer:
9.49
Step-by-step explanation:
Using the Pythagorean Theorem, we know a²+b²=c².
So 3²+9²=(BA)²
9+81=(BA)²
90=(BA)²
From this, we know BA=√90
BA=9.486
Rounding to the nearest hundredth, this is 9.49
Please consider a brainliest! Thank you!
The given measurement of the Instagram photo is "4" by "4". And a poster enlargement is being printed with a scale factor of 8.5 .
So on using the scale factor of 8.5 , lengths of new sides are "8.5 *4" by "8.5 *4"
= " 34" by "34" .
So the new lengths of the enlarged pictures are of dimension "34" by "34" .
Answer: 24.84
Step-by-step explanation: 276%of 9 is 24.84
Answer:
<h3>The 12th term is 1771470</h3>
Step-by-step explanation:
Since the above sequence is a geometric sequence
An nth term of a geometric sequence is given by
where a is the first term
r is the common ratio
n is the number of terms
From the question
a = 10
To find the common ratio divide the previous term by the next term
That's
r = 30/10 = 3 or 90/30 = 3 or 270/90 = 3
Since we are finding the 12th term
n = 12
So the 12th term is
<h3>A(12) = 1771470</h3>
Hope this helps you
