Answer:
3 nickels and 5 quarters
Step-by-step explanation:
Let n = number of nickels
q = number of quarters
q = n+2
.25q + .05n = 1.40
Using the first equation and replacing q in the second equation
.25( n+2) + .05n = 1.40
Distribute
.25n+.50 +.05n = 1.40
Combine like terms
.30n +.5 = 1.40
Subtract .5 from each side
.3n +.5-.5 = 1.40-.4
.3n = .9
Divide by .3
.3n/.3 = .9/.3
n = 3
q = n+2
q=5
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
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Answer:
3x + 2 < –7 or 3x + 2 > 7
Answer:
c
Step-by-step explanation: