Answer:
15.5x - 300 >= 280
Step-by-step explanation:
Let x = the number of hours she works.
The amount of money she earns will be 15.50x
Her rent costs $300, so that value gets subtracted from the amount she earns. That makes our expression for how much money she earns:
15.5x - 300
This amount has to be over 280, so our inequality will be:
15.5x - 300 >= 280
By understanding and applying the characteristics of <em>piecewise</em> functions, the results are listed below:
- r (- 3) = 15
- r (- 1) = 11
- r (1) = - 7
- r (5) = 13
<h3>How to evaluate a piecewise function at given values</h3>
In this question we have a <em>piecewise</em> function formed by three expressions associated with three respective intervals. We need to evaluate the expression at a value of the <em>respective</em> interval:
<h3>r(- 3): </h3>
-3 ∈ (- ∞, -1]
r(- 3) = - 2 · (- 3) + 9
r (- 3) = 15
<h3>r(- 1):</h3>
-1 ∈ (- ∞, -1]
r(- 1) = - 2 · (- 1) + 9
r (- 1) = 11
<h3>r(1):</h3>
1 ∈ (-1, 5)
r(1) = 2 · 1² - 4 · 1 - 5
r (1) = - 7
<h3>r(5):</h3>
5 ∈ [5, + ∞)
r(5) = 4 · 5 - 7
r (5) = 13
By understanding and applying the characteristics of <em>piecewise</em> functions, the results are listed below:
- r (- 3) = 15
- r (- 1) = 11
- r (1) = - 7
- r (5) = 13
To learn more on piecewise functions: brainly.com/question/12561612
#SPJ1
Answer:
363
Step-by-step explanation:
Formula for area of a circle
A = πr^2
Where r = radius
The circle has a given radius of 11
To find the area of the circle we simply substitute r in the formula with the value of the radius (11)
( Also note that the question says to use 3 for π )
A = πr^2
π = 3
r = 11
Substitute values in formula
A = (3)(11)^2
11^2 = 121
A = 121(3)
121(3) = 363
A = 363
Height = 19.75
diam = 19.75*1.4 =
<span>
<span>
<span>
27.65
radius = </span></span></span>
<span>
<span>
<span>
13.825
</span>
</span>
</span>
Volume = PI*19.75 * (13.825*13.825)
<span><span><span>Volume = PI*3,774.83
</span>
</span>
</span>
<span><span><span><span>Volume = </span>11,858.98
</span>
</span>
</span>
