Answer:
Step-by-step explanation:
y - 9 = 3(x - 0)
y - 9 = 3x - 0
y = 3x + 9
Answer:
x=3
Step-by-step explanation:
5(2x+1)=35
Step 1: Simplify both sides of the equation.
5(2x+1)=35
(5)(2x)+(5)(1)=35(Distribute)
10x+5=35
Step 2: Subtract 5 from both sides.
10x+5−5=35−5
10x=30
Step 3: Divide both sides by 10.
x=3
Using the asymptote concept, the function with a vertical asymptote at x = 3 and an horizontal asymptote at
is given by:

<h3>What are the asymptotes of a function f(x)?</h3>
- The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
- The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.
The vertical asymptote at x = 3 means that x = 3 is a root of the denominator, hence:

The horizontal asymptote at y = -1/2 means that:

Which happens if
, hence the function is:

More can be learned about asymptotes at brainly.com/question/16948935
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Answer:
32/45
Step-by-step explanation:
2/3 : 3/2 : 5/8
Remember, a ratio and a fraction are both division. Therefore you can rewrite the problem like so:
2/3 ÷ 3/2 ÷ 5/8
Dividing fractions is the same as multiplying them by the reciprocal.
2/3 * 2/3 * 8/5
Now simplify:
32/45
32 and 45 have no common factor, hence the final answer is 32/45