F(-10)=-2, f(-8)=5, and f is continuous. All these mean that f(x) is 0 for x in between -10 and -8.
That is, f at -10 is negative, then at -8 is positive. So the graph of f "cuts" the x-axis for an x value in (-10, -8).
Since there is only one value such that f(x)=0, x can only be -9.
Answer: -9
After 7 years the laptop computer will be worth $200 or less.
In this question, we have been given a laptop computer is purchased for $1500 . Each year, its value is 75% of its value the year before.
We need to find the number of years when laptop computer be worth $200 or less.
We can see that given situation represents exponential decay function with initial value 1500, decay rate = 0.75 and the final value = 200
We need to find period t.
For given situation we get an exponential function as,
1500 * (0.75)^t ≤ 200
(0.75)^t ≤ 2/15
t * ln(0.75) ≤ ln(2/15)
t * (-0.2877) ≤ -2.0149
t ≥ (-2.0149)/(-0.2877)
t ≥ 7
Therefore, the laptop computer will be worth $200 or less after 7 years.
Learn more about exponential function here:
brainly.com/question/14355665
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Answer:
Cara multiplied only 4 and 7 together and did not multiply 4 and 13.
Step-by-step explanation:
Let us evaluate the given expression step by step,
We can evaluate this expression in two ways; either by subtracting -13 from 7 and then multiply by 4 or by multiplying 4 to 7 and -13.
Now let us see where Cara made an error. We can see Cara just multiplied only 4 and 7 together and did not multiply 4 to 13.
Therefore, Cara made error in her first step.
Question 2 the answer is 4
