The cost to rent a paddle boat at the park is $8 for each hour. The expression 8h, where h represents the number of hours, can b
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<span>Can a function be concave down and positive everywhere?
can be a semicircle
example, y=4+
attachment 1
Can a function be increasing and be concave down everywhere?
no, concave down means increase slope then decrease slope
Can a function have two local extrema and three inflection points?
inflection points are where the concavity changes
it can be at the ends, the middle and the other end
like in atachment 2, the circles are inflection points
Can a function have 4 zeros and two local extrema?
no, as you can see in attachment 3, there can be 3 zeroes at most for 2 local extrema
</span>
can be a semicircle
example, y=4+
attachment 1
Can a function be increasing and be concave down everywhere?
no, concave down means increase slope then decrease slope
Can a function have two local extrema and three inflection points?
inflection points are where the concavity changes
it can be at the ends, the middle and the other end
like in atachment 2, the circles are inflection points
Can a function have 4 zeros and two local extrema?
no, as you can see in attachment 3, there can be 3 zeroes at most for 2 local extrema
</span>
So with this, we will be using proportions. To solve for x, our proportion will be
Firstly, cross-multiply:
Next, subtract 36 on both sides:
Next, replace -9x with 3x-12x
Next, factor x^2+3x and -12x-36 separately: . After, rewrite it as
Next, solve for x separately in the two parentheses:
Since we can't have a negative length, x = 12.
To solve for y, our proportion will be
Firstly, cross-multiply:
Next, just square root each side, and your answer will be (rounded to hundredths)
In short, x = 12 and y = 10.39.
Answer:
see explanation
Step-by-step explanation:
(1)
Note the ratio of consecutive terms is common, that is
2000 ÷ 2500 = 0.8
1600 ÷ 2000 = 0.8
1280 ÷ 1600 = 0.8
This indicates that the series is geometric with common ratio r = 0.8
The sum to n terms of a geometric series is
=
← a is the first term
Here a = 2500 and r = 0.8, thus
=
=
= 8404
(2)
Note the difference in consecutive terms is common, that is
3 - 11 = - 8
- 5 - 3 = - 8
- 13 - (- 5) = - 8
This indicates that the series is arithmetic with common difference d = - 8
The sum to n terms of an arithmetic series is
= a₁ + (n - 1)d ← a₁ is the first term
Here a₁ = 11 and d = - 8, thus
= 11 + (13 × - 8) = 11 - 104 = - 93