1 dime is required to make $1.02 cents using 9 coins collections
<h3>How to solve</h3>
<u>Given data</u>
9 coins
a collection of pennies, nickels, dimes, and quarters
total of $1.02 with at least one coin of each type
solution
$1.02 = 102cents
1 penny = 1 cent
1 nickel = 5 cents
1 dime = 10 cents
1 quarter = 25 cents
having one coin of each means 4 coins which is equal to:
1 + 5 + 10 + 25 = 41 cents (fulfilling the first condition remaining 5 coins)
102 - 41 = 61
balancing the remaining coins to make up 61, we first get a penny to reduce the amount 60 cents ( 4 coins remaining )
hence we have
2*25 +2*5 = 60 cents ( 2quarters 2 nickel)
in total we have
2 pennies + 3 nickels + 1 dime + 3 quarters = 9 coins
2 * 1 + 3 * 5 + 1 * 10 + 3 * 25 = 102 cents
Therefore 1 dime is required to make $1.02 cents using 9 coins collections
Read more on dimes here: brainly.com/question/435257
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Answer:
f(x) = -5/3x + 5/3
Step-by-step explanation:
if x = 4 ; f(x) = -5
if x = -2 ; f(x) = 5
f(x) = ax + b
-5 = 4a + b <em>(</em><em>1</em><em>)</em><em> </em>
and
5 = -2a + b <em>(</em><em>2</em><em>)</em>
<em>(</em><em>1</em><em>)</em><em> </em><em>+</em><em> </em><em>(</em><em>2</em><em>)</em><em> </em>
2a + 2b = 0
a = -b
<em>(</em><em>1</em><em>)</em><em> </em>-5 = 4a - a
-5 = 3a
a = -5/3
<u>A</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u><u> </u><u>:</u>
f(x) = -5/3x + 5/3
Answer:
x = 7.7
Option B
Step-by-step explanation:

∴ value of x is 7.7
The main thing you want to ask yourself is "What is the difference between the two graphs?"
As we can see, the graphs look identical in every way except that g(x) is lower than f(x).
This means that the graph is shifted down a certain amount.
If we look at the y-intercepts of the two functions, we see that f(x) has a y-intercept of 1, and g(x) has a y-intercept of -1.
This means that f(x) is two units lower than g(x).
The y-intercept of a function can be changed by adding or subtracting a number to the original function (in this case 2^{x}).
Because the graph f(x) is 2 lower than the graph of g(x), we can find g(x) by subtracting 2 from f(x).
Therefore, g(x) = 2^{x} - 2.