12, Find the prime factorization of 60
60 = 2 × 2 × 3 × 5
Find the prime factorization of 144
144 = 2 × 2 × 2 × 2 × 3 × 3
To find the gcf, multiply all the prime factors common to both numbers:
Therefore, GCF = 2 × 2 × 3
Answer: Choice C
The vertical asymptote at x = -4 tells us that -4 is not part of the domain. This only applies to 1/(x+4). If we plug in x = -4, we get...
f(x) = 1/(x+4)
f(-4) = 1/(-4+4)
f(-4) = 1/0
f(-4) = undefined; because of the division by zero error
The value x = -4 is allowed in the other answer choices.
9514 1404 393
Answer:
the y-intercepts differ
Step-by-step explanation:
The x-coefficient is the same for each function, so parallel lines are described. The function g(x) has a y-intercept of -4; f(x) has a y-intercept of 0.
The graphs differ in their intercepts.
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<em>Additional comment</em>
g(x) can be considered to be a translation downward of f(x) by 4 units. The same graph of g(x) can be obtained by translating f(x) to the right by 2 units. That is, both the x-intercepts and y-intercepts differ between the two functions.
Answer:
.80
or
0.80
Step-by-step explanation:
80 is out of 100, which is other words is .80 or 0.80
Use the Pythagorean Theorem to find the missing lengths<span> of the </span>sides<span> of a right triangle. triangle that has an opposite </span>side<span> of </span>length 3<span> and a hypotenuse of </span>length<span> 4. </span>Determining<span> all of the </span>side lengths<span>and angle measures of a right triangle is Let's look at how to do this when you're given </span>one side length<span>and </span>one<span> acute</span>
