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3 years ago

Find the slope of a line with this information, "−12; (4,−5)". Write your answer in slope intercept form.

Mathematics

1 answer:

taurus [48]3 years ago

4 0

Answer:

y = -12x - 43

Step-by-step explanation:

"slope-intercept form" looks like y = mx + b.

We are given m = -12 and a point on the line which is (4, -5).

Substituting 4 for x, -5 for y and -12 for m, we get:

-5 = -12(4) + b. Then b = -43, and the desired equation is y = -12x - 43.

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Answer:

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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3 years ago

Help with 8 and 9??? Please help me out! Correct answers please

Ipatiy [6.2K]

Answer:

8. (-∞, 0) ∪ (0, 1/3) ∪ (1/3, ∞)

9. f(g(x)) = 4x/(1+6x)

Step-by-step explanation:

8. For f(g(x)) to be defined, g(x) must be defined and f(g(x)) must be defined.

g(x) will be defined for all x≠0. f(g(x)) will be defined for g(x)≠4. Solving g(x)=4, we find the value of x is 1/3. (The answer choices give a clue.)

So, the domain of f(g(x)) is all x that is not 0 or 1/3. Only one answer choice makes those particular exclusions:

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9. Substituting the definition of g(x) into the expression for f(x), we get ...

$\displaystyle (f\circ g)(x)=f(g(x))=\frac{2}{g(x)+3}=\frac{2}{\frac{1}{2x}+3}\\\\=\frac{2}{\left(\frac{1+6x}{2x}\right)}\\\\(f\circ g)(x)=\frac{4x}{1+6x}$

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4 years ago

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Answer:

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