Answer:
Step-by-step explanation:
Let Sue's age = x
Leah's age = x + 6
John's age= Leah's age + 5 = (x+6) + 5 = x + 11
Sum of their ages = 41
x + (x+6) + ( x+11 ) = 41
x + x+6 +x +11 = 41
3x + 17 =41
3x = 41 -17
3x = 24
x = 24/3
x =8
Sue's age = 8 years
Answer:
Step-by-step explanation:
(![\sqrt[3]{x^{2} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7B2%7D%20%7D)
× ![\sqrt[6]{x^{4}}](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7Bx%5E%7B4%7D%7D)
)⁻³
is the same thing as 
you can think of the numerator as the power and the denominator as the root
rewrite both terms:
( × 
)⁻³
simplify the 4/6:
( × )⁻³
bases are the same, add the exponents:
(
)⁻³
multiply the exponents:
simplify:
x⁻⁴
negative power rule:
Answer:
Step-by-step explanation:
The answer is 1-4/5
B, there's only two kinds of acute triangles ands that's a 45,45,90 and a 30,60,90.
Answers:
- a) 15000 represents the starting amount
- b) The decay rate is 16%, which means the car loses 16% of its value each year.
- c) x is the number of years
- d) f(x) is the value of the car after x years have gone by
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Explanation:
We have the function f(x) = 15000(0.84)^x. If we plug in x = 0, then we get,
f(x) = 15000(0.84)^x
f(0) = 15000(0.84)^0
f(0) = 15000(1)
f(0) = 15000
In the third step, I used the idea that any nonzero value to the power of 0 is always 1. The rule is x^0 = 1 for any nonzero x.
So that's how we get the initial value of the car. The car started off at $15,000.
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The growth or decay rate depends entirely on the base of the exponential, which is 0.84; compare it to 1+r and we see that 1+r = 0.84 solves to r = -0.16 which converts to -16%. The negative indicates the value is going down each year. So we have 16% decay or the value is going down 16% per year.
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The value of x is the number of years. In the first section, x = 0 represented year 0 or the starting year. If x = 1, then one full year has passed by. For x = 2, we have two full years pass by, and so on.
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The value of f(x) is the value of the car after x years have gone by. We found that f(x) = 15000 when x = 0. In other words, at the start the car is worth $15,000. Plugging in other x values leads to other f(x) values. For example, if x = 2, then you should find that f(x) = 10584. This means the car is worth $10,584 after two years.
