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Inessa05 [86]
3 years ago
8

Show your work please . NO LINKS.​

Mathematics
1 answer:
nika2105 [10]3 years ago
6 0

Answer:

i x = 0

ii x = 5,9

iii y = 12

iv y = 0

Step-by-step explanation:

0 = 12x²/(x - 5)(x - 9)

0 = 12x²

0 = x²

x = 0

ii vertical asymptotes at x = 5, 9

asymptotes occur as either term (x - 5)(x - 9) approaches zero

iii horizontal asymptote y = 12

function essentially becomes 12(∞²)/∞² = 12(1) as x goes to ±∞

iv y = 0 where x = 0

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If \dfrac{a}{b}=2 ​b ​ ​a ​​ =2start fraction, a, divided by, b, end fraction, equals, 2, what is the value of \dfrac{4b}{a} ​a
kakasveta [241]
So, we have two equations. The first one is a/b = 2, and the other one is to find the value of 4b/a. In order to solve this, let's find the value of b/a. As you can observe, b/a is the reciprocal of a/b. Therefore, b/a is also the reciprocal of 2. This means that b/a = 1/2. Now, substituting this to the second equation, the answer would be

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3 0
3 years ago
Which expression is equivalent to x² - 4x - 45?
lisabon 2012 [21]

Answer:

D. (x - 9)(x+5)

Step-by-step explanation:

x^{2} - 4x - 45 is your expression, so you have to factor it out. Since from the options available it's clear that the factors of -45 you use are some form of 9 and 5, we can use the process of elimination to figure out which are the correct ones.

First, through FOIL u know that in any factored form the last two terms in each bracket multiply together to make the last term in the expanded form.

So first, look at A. the last two terms are -9 and -5, which = 45 when multiplied together. 45 does not = -45, so it can't be A.

B has 9 and 5. When they're multiplied, they = 45, which does not = -45, so its not B

It can't be C either, because the first term of the first bracket in C is 20, and when multiplied with x it doesn't produce x^2.

Therefore it has to be D. u can check this by multiplying -9 and 5, which = -45, the final term in the expanded form. Also, -9 + 5 = -4, which is the middle term of the expanded form.

6 0
3 years ago
Read 2 more answers
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