Answer:
f(x) = 2(x+3)+2
Step-by-step explanation:
Answer:
-4=X 6=Y
Step-by-step explanation:
Since the value 0.98 is less than 1, we can therefore say that balance in this account is decreasing.
<h3>
How to recognize Exponential Function.</h3>
Exponential Function can be used for increase rate and also for decay rate. The difference between the two are the plus and minus signs. To put it in another perspective, If Y = P(M)³
If M is less than one, that means it is decaying or decreasing. And if M is greater than one, that means it is increasing.
Given that Some banks charge a fee on savings accounts that are left inactive for an extended period of time. And the equation
y = 5000(0.98)^x represents the value, y, of one account that was left inactive for a period of x years.
According to the equation, to know if the balance in this account is increasing or decreasing, we will analyze the value 0.98.
Since the value 0.98 is less than 1, we can therefore say that balance in this account is decreasing.
Learn more about Exponential Function here: brainly.com/question/2456547
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Answer:
2n - 1 ≥ 5
Step-by-step explanation:
<u>Step 1: Convert words into expression</u>
One less than twice a number is no less than five.
2n - 1 ≥ 5
Answer: 2n - 1 ≥ 5
Answer in one complete sentence:
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"The length of the frame is ten (10) inches."
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Explanation:
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Perimeter = P = 36 in.
Length = L = 2 +2
Width = w .
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These are the two equations for the system of equations:
P = 2L + 2w = 36 in.
L = 2 + w
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Solve for "L" (length) of the frame.
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In the equation:
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P = 2L + 2w = 36.
{Note: standard knowledge; and/or look up:
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Formula for the Perimeter of a rectangle: P = 2L + 2w} ;
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We are given: P = 36 in.
Rewrite, substituting "2+w" for "L" ;
P = 2(2+w) + 2w = 36 ;
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Note: 2(2+w) = 2*2 + 2w = 4 + 2w .
Now, Rewrite the equation, substituting "(4 + 2w) for "2(2+w)" ;
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P = (4 + 2w) + 2w = 36 ;
P = 4 + 2w + 2w = 36 ;
Combine the "like terms" ;
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+ 2w + 2w = 4w ;
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P = 4 + 4w = 36 ;
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↔ 4 + 4w = 36 ;
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Subtract "4" from EACH SIDE of the equation:
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→ 4 + 4w − 4 = 36 − 4 ;
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to get:
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→ 4w = 32 ;
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→ Divide EACH SIDE of the equation by "4" ; to isolate "w" on one side of the equation; and to solve for "w" ;
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→ 4w / 4 = 32 / 4 ;
→ w = 8 .
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Now, to solve for: "L" (the length).
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Length: L = 2 + w ;
→ L = 2 + 8 = 10 inches.
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Answer in one complete sentence:
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"The length of the frame is ten (10) inches."
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