Step-by-step explanation:
Part A: Linear Equation.
- One of the points is (0,15). This means 0,15 is the y intercept so b=15.
We can find the slope
![\frac{5 - 15}{1 - 0 } = \frac{ - 10}{1} = - 10](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%20-%2015%7D%7B1%20%20-%200%20%7D%20%20%3D%20%20%5Cfrac%7B%20-%2010%7D%7B1%7D%20%20%3D%20%20-%2010)
So our equation is
![y = - 10x + 15](https://tex.z-dn.net/?f=y%20%3D%20%20-%2010x%20%2B%2015)
Part B: Exponential Equation
We know that
![15 = a \times b {}^{0}](https://tex.z-dn.net/?f=15%20%3D%20a%20%5Ctimes%20b%20%7B%7D%5E%7B0%7D%20)
B to the zero power is 1 so
![15 = a](https://tex.z-dn.net/?f=15%20%3D%20a)
This means a =15. Now let find b.
![5 = 15 \times b {}^{1}](https://tex.z-dn.net/?f=5%20%3D%2015%20%5Ctimes%20b%20%7B%7D%5E%7B1%7D%20)
![\frac{1}{3} = b](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20%20%3D%20b)
So the equation is
![y = 15( \frac{1}{3} ) {}^{x}](https://tex.z-dn.net/?f=y%20%3D%2015%28%20%5Cfrac%7B1%7D%7B3%7D%20%29%20%7B%7D%5E%7Bx%7D%20)
Raulf Laue of Germany flipped a pancake 416 times in 120 seconds to set the world record find unit rate in flips per seconds. Round your answer to the nearest hundredth
Answer:
3.47 flips per seconds
Step-by-step explanation:
We are told that:
Raulf Laue of Germany flipped a pancake 416 times in 120 seconds
The unit rate = flips per seconds
Flips = 416 times
Seconds = 120
Hence, = 416 flips /120 seconds
= 3.4666666667 flips/seconds
Therefore, the unite rate approximately to the nearest hundredth is 3.47 flips/seconds.
Answer:
21 1/2 yd
Step-by-step explanation:
43/4 + 43/4 = 21 1/2 yd
Answer:
17
Step-by-step explanation:
∠C is common in both triangles
equate them
∠C = 180- (x + 100) = 180 - ( 4x + 49)
x + 100 = 4x + 49
100 - 49 = 3x
51 = 3x
x = 51/3 = 17