tammy2mca
tammy2mca tammy2mca
  • 25-09-2020
  • Mathematics
contestada

What is the y-intercept of the graph of y = 100(2)^x – 5?

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mhanifa
mhanifa mhanifa
  • 25-09-2020

Answer:

  • y = 95
  • x = -4.322

Step-by-step explanation:

Given function

  • y = 100(2)^x – 5
  • To find x-intercept, y-intercept

x-intercept found at y = 0

  • 0 = 100(2)^x – 5
  • 100(2)^x= 5  
  • (2)^x =5/100
  • xlog2 =log0.05
  • x = log0.05/log2
  • x = -4.322

y -intercept is found at x = 0

  • y = 100(2)^0 - 5
  • y = 100 - 5
  • y = 95

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