Answer:
y = square root(x/7)
Step-by-step explanation:
switch x and y
x = 7y^2
solve for y
x/7 = y^2
square root(x/7) =y
y inverse is
y= square root(x/7)
Hello there, and thank you for posting your question here on brainly.
Short answer: 280 miles.
Why?
You can find this out by finding out how much 1 in is by dividing 200 by 5. (200 / 5 ==> 40) So 1 in = 40 miles. Now, we multiply that by 7, so we can find out how much 7 in would be. (7 * 4 ==> 280) 7 inches on the map represents 280 miles.
Hope this helped you! ♥
Answer:
Yes, see below.
Step-by-step explanation:
Convert the equation to vertex form to find the maximum height:
h = -16t2 + 64t + 5
= -16(t^2 - 4t) + 5
= -16 [(t - 2)^2 - 4] + 5
= -16( t - 2)^2 + 64 + 6
= -16(t - 2)^2 + 69.
So the maximum height the rock reaches is 69 feet.
This height is reached at 2 time seconds.
The <em>exponential</em> function y = 290 · 0.31ˣ reports a decay as its <em>growth</em> rate is less than 1 and greater than 0. Its <em>percentage</em> rate of decrease is equal to 69 %.
<h3>How to determine the behavior of an exponential function</h3>
<em>Exponential</em> functions are <em>trascendental</em> functions, these are, functions that cannot be described <em>algebraically</em>. The <em>simplest</em> form of <em>exponential</em> functions is shown below:
y = a · bˣ (1)
Where:
- a - Initial value
- b - Growth rate
- x - Independent variable.
- y - Dependent variable.
Please notice that this kind of <em>exponential</em> function reports a <em>growth</em> for b > 1 and <em>decay</em> for b < 1 and b > 0. According to the statement we have the function y = 290 · 0.31ˣ, then we conclude that the exponential function given reports a <em>decay</em>.
The <em>percentage</em> rate of decrease is determined by the following formula:
100 × (1-0.31) = 100 × 0.69 = 69 %
The <em>percentage</em> rate of decrease related to the <em>exponential</em> function is 69 %.
To learn more on exponential functions: brainly.com/question/11487261
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-20-(-5)(-2^2)
-20-(-5)(-4)
-20-(20)
-20-20
-40