Answer:
20. y = 3·3^x
21. y = (1/3)^x
Step-by-step explanation:
These exponential functions can be written in the form ...
y = a·b^x
where a is the value of y when x=0, and b is the common ratio between terms that have x different by 1.
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20. The ratio is 9/3 = 3; the multiplier is 3 (the value of y when x=0), so the function is ...
y = 3·3^x
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21. The ratio is (1/3)/1 = 1/3; the multiplier is 1, so the function is ...
y = (1/3)^x
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<em>Alternate solution</em>
Each of these can be written in a more compact form:
20: y = 3^(x+1)
21: y = 3^(-x)
☁️ Answer ☁️
Here's what I found:
Identify the coordinates (x₁,y₁)and(x₂,y₂). We will use the formula to calculate the slope of the line passing through the points (3,8) and (-2, 10).
Input the values into the formula. This gives us (10 - 8)/(-2 - 3).
Subtract the values in parentheses to get 2/(-5).
Simplify the fraction to get the slope of -2/5.
Check your result using the slope calculator.
To find the slope of a line we need two coordinates on the line. Any two coordinates will suffice. We are basically measuring the amount of change of the y-coordinate, often known as the rise, divided by the change of the x-coordinate, known the the run. The calculations in finding the slope are simple and involves nothing more than basic subtraction and division.
Here's the link:
https://www.omnicalculator.com/math/slope#:~:text=How%20to%20find%20slope%201%20Identify%20the%20coordinates,5%20Check%20your%20result%20using%20the%20slope%20calculator.
Here's a video to help you: https://m.you tube.com/watch?v=wvzBH46D6ho
(Just remove the space)
Hope it helps.
Have a nice day noona/hyung.
Answer:
15 ÷ 17
Step-by-step explanation:
Since our hypotenuse side is 17 cm, our opposite side is 8 cm and our adjacent side is 15 cm. Since the acute angle is x degrees,
From trigonometric ratios, cosx° = adjacent/hypotenuse
= 15 cm/17 cm
= 15/17
= 15 ÷ 17
In standard form the answer would be y=-4x-3