<span>A.
Both functions have the same y-intercept.</span> TRUE
<span>B.
f(x) has a negative slope while g(x) has a positive slope.</span> Tricky question. Yes, f(x) has the negative slope m = -2. However, g(x), being a curve, does not have a single slope; rather, it has a varying slope that increases (becomes less negative) as x increases. Some people might argue that this statement is TRUE, while others would argue that it's FALSE, because the 2nd function does not have just one single value for the slope.
<span>C.
Both functions are linear functions.</span> ABSOLUTELY NOT. The first one is linear; the second is a "decaying exponential" whose graph is a curve.
D. <span>
g(x) has a common ratio of 4. Yes and no. I'd say the common ratio is (1/4), because each y value is (1/4) of the previous y value
</span>
Answer:
1). 
= (200 - 
)
2). Inverse function represents the age of the client and 'x' represents the maximum heart rate of the client.
Step-by-step explanation:
Function representing the maximum heart rate is,
f(x) = 0.85(220 - x)
Here x = age of the client
Equation form of the function will be,
y = 0.85(220 - x)
To get the inverse of the given function, replace 'x' by 'y' and 'y' by 'x' and solve for y.
x = 0.85(220 - y)
220 - y =
y = 220 -
Now convert this equation into a function.
= (200 - )
Here inverse function represents the age of the client and 'x' represents the maximum heart rate of the client.
Answer:
4.1kg
Step-by-step explanation:
A recipe requires 5 kg of cleaned, peeled, and diced cucumbers. What is the minimum amount of cucumbers to purchase if the yield percent is 82?
The formula to solve the above question is given as:
Edible portion = Amount purchased/Yield percent
Amount purchased = Edible portion × Yield percent
Amount purchased = 5 kg × 82%
Amount purchased = 4.1kg
A = (16 * 9) + 1/2(16+31)(15) + 1/2(20)(31)
A = 144 + 352.5 + 310
A = 806.5
answer is A
806.5
