1. <u>Plug in</u> " -2 " into f
f(-2) = 3 (-2) - 1
f(-2) = -6 - 1
f(-2) = -7
2. <u>Plug in</u> "5" into g
g(5) = -(5) + 6
g(5) = -5 + 6 = 1
3. <u>Add</u> what you got when you solved for <u>f(-2) and g(5) together</u>
f(-2) + g(5) = ?
f(-2) + g(5) = -7 + 1
f(-2) + g(5) = -6
Your answer is A
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Answer:
a = √11 and b = 6
Step-by-step explanation:
Refer to attached picture for reference
for an right triangle with angle θ
we are given
cos θ = 5/6 = length of adjacent side / length of hypotenuse
hence
adjacent length = 5 units
hypotenuse length = 6 units
the missing side is the "opposite" length which we can find with the Pythagorean equation. in our case:
hypotenuse ² = adjacent ² + opposite² (rearrange)
opposite ² = hypotenuse ² - adjacent ²
opposite ² = 6² - 5²
opposite = √ (6²-5²) = √11
sin θ = opposite length / hypotenuse (substitute values above)
sin θ = √11 / 6
hence a = √11 and b = 6
Answer:
Tires that wear out by approximately 24307.8 miles will be replaces free of charge.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 27,000 miles
Standard Deviation, σ = 2100 miles
We are given that the distribution of life expectancy is a bell shaped distribution that is a normal distribution.
Formula:

We have to find the value of x such that the probability is 0.10
Calculation the value from standard normal z table, we have,
Tires that wear out by approximately 24307.8 miles will be replaces free of charge.
Answer:
Converting the equation
into completing the square method we get: 
Step-by-step explanation:
we are given quadratic equation: 
And we need to convert it into completing the square method.
Completing the square method is of form: 
Looking at the given equation 
We have a = x
then we have middle term 20x that can be written in form of 2ab So, we have a=x and b=? Multiplying 10 with 2 we get 20 so, we can say that b = 20
So, 20x in form of 2ab can be written as: 2(x)(10)
So, we need to add and subtract (10)^2 on both sides

So, converting the equation
into completing the square method we get: 