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Answer:
The number of <u>dimes are 100</u> and number of <u>quarters are 140.</u>
Step-by-step explanation:
Let the number of dimes be 'd' and quarters be 'q'.
Given:
The sum of amount is $45.
The total number of coins are 240.
1 dime = $0.10
∴ 'd' dimes =
1 quarter = $0.25
∴ 'q' quarters =
Now, as per question:
Multiplying equation (1) by -0.1 and adding the result to equation (2), we get:
Therefore, the number of dimes are 100 and number of quarters are 140.
The correct answer is: <span>The graph shifts 5 units right
Explanation:
Below is the graph attached of both the equations:
Red line: Represents f(x) = </span><span>2x + 2.
Blue line: Represents g(x) = 2x - 3.
As you can see in the graph that g(x) is shifted 5 units right to f(x).
If you move towards right by 1 unit, you have to subtract 1 from f(x) until you reach g(x) like:
2x + 2 - 1 = 2x + 1 (1 unit)
</span>2x + 1 - 1 = 2x (1 unit)
2x - 1 = 2x - 1 (1 unit)
2x - 1 -1 = 2x - 2 (1 unit)
2x -2 - 1 = 2x -3 (1 unit)
Total 5 units.
Hence the correct answer is t<span>he graph shifts 5 units right.</span>
Explanation:
Below is the graph attached of both the equations:
Red line: Represents f(x) = </span><span>2x + 2.
Blue line: Represents g(x) = 2x - 3.
As you can see in the graph that g(x) is shifted 5 units right to f(x).
If you move towards right by 1 unit, you have to subtract 1 from f(x) until you reach g(x) like:
2x + 2 - 1 = 2x + 1 (1 unit)
</span>2x + 1 - 1 = 2x (1 unit)
2x - 1 = 2x - 1 (1 unit)
2x - 1 -1 = 2x - 2 (1 unit)
2x -2 - 1 = 2x -3 (1 unit)
Total 5 units.
Hence the correct answer is t<span>he graph shifts 5 units right.</span>