Answer:
Vertical stretch by a factor of 6
Step-by-step explanation:
Multiplying the function value by a constant moves its y-coordinate farther away from the x-axis by that factor. It causes a vertical stretch. Here, ...
the vertical stretch factor is 6
Answer:
"Starting today, I need to forget what's gone. Appreciate what still remains and look forward to what's coming next."
"Pain makes you stronger, fear makes you braver, heartbreak makes you wiser."
"I will not allow myself to not feel chosen every single day. And I’ll wait till whenever that is." — Hannah Brown
"Sometimes good things fall apart so better things can come together."
"Live for what today has to offer, not for what yesterday has taken away."
"Accept what is, let go of what was, and have faith in what will be."
"Don't be afraid to start over. It’s a brand new opportunity to rebuild what you truly want."
"Inhale the future, exhale the past."
"Don’t cry because it’s over, smile because it happened."
Answer:
-5
Step-by-step explanation:
dₙ = -5 (1/2)n-1
the 3rd term in the sequence means n = 3
d₃ = -5(1/2)(3-1) = -5(1/2)(2) = -5
Answer:
G = 14 - 1.75(t)
Where G is the number of gallons of gas remaining;
14 represents the amount of gas in gallons in the full gas tank of the vehicle
t is the number of hours
Step-by-step explanation:
Here, we want to write an equation.
We are told that the car uses 1.75 gallons of gas every hour and after 4 hours 7 gallons were left
In the 4 hours, the amount of fuel used will be 1.75 * 4 = 7 gallons
So therefore since we have 7 gallons left, the amount of gallons in the full tank of the vehicle will be 7 + 7 = 14 gallons
Hence, the equation we want to write will be;
G = 14 - 1.75(t)
Answer with positive exponent = 
or 
Answer with negative exponent = 
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Explanation:
The rule we use is
If we multiply two exponential expressions with the same base, then we add the exponents.
The base for each is 5. The exponents 4 and -7 add to -3.
This means
To convert to a positive exponent, we apply the reciprocal to the base. We go from 5, aka 5/1, to 1/5.
So, 
