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3 years ago

Please help on these questions!

Mathematics

1 answer:

Afina-wow [57]3 years ago

4 0

Step-by-step explanation:

i don't know but i have done one if i do all your answer will be wrong

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12) Write the equation of a rational function

aev [14]

Answer:

$\frac{4(x - 5)(x + 7)(x - 12)}{(x + 1)(x)(x - 12)}$

Step-by-step explanation:

A rational function is

$\frac{p(x)}{q(x)}$

where q(x) doesn't equal zero.

If p is a asymptote, or hole at that value, then we will use

$(x - p)$

Step 1: We have asymptote as 0 and -1 so our denomiator will include

$(x - 0)(x - ( - 1)$

Which is

$(x)(x + 1)$

So our denomator so far is

$\frac{p(x)}{x(x + 1)}$

Step 2: Find Holes.

Since 12 is the value of the hole,

$(x - 12)$

is a the binomial.

This will be both on the numerator and denomator so qe have

$\frac{(x - 12)}{x(x + 1)(x - 12)}$

Step 3: Put the x intercepts in the numerator.

Since 5 and -7 is the intercepts,

$\frac{(x - 12)(x - 5)(x + 7)}{x(x + 1)(x - 12)}$

Step 4: Horinzontal Asymptotes,

Multiply the numerator and denomiator out fully,

$\frac{ {x}^{3} - 10 {x}^{2} - 59x + 420 }{ {x}^{3} - 12 {x}^{2} + x - 12}$

Take a L

look at the coefficients,

Notice they have the same degree,3, this means if we divide the leading coefficents, we will get our horinzonral asymptote.

Multiply the numerator by 4.

$\frac{4(x - 12)(x - 5)(x - 7)}{x(x + 1)(x - 12)}$

Above is the function,

5 0

3 years ago

Consider the three points (-7,-7), (21,14), (49,35)

kykrilka [37]

E is the correct answer

6 0

4 years ago

If y varies directly as x and y = 144 when x = 12, what is the value of y when x = 17?

olasank [31]

Direct variation:
$y=kx$

y=144 when x=12.
$144=12k \\ k=\frac{144}{12} \\ k=12$

y=? when x=17.
$y=12 \times 17 \\
y=204$

y=204 when x=17.

6 0

3 years ago

Solve the equation 13(x + 1) + 2x = 2

Goryan [66]

13x + 13 + 2x = 2
15x + 13 = 2
15x = -11

4 0

3 years ago

Read 2 more answers

Please help me find the nth term of this sequence 0, 3, 8, 15, 24

Setler [38]

Answer:

Step-by-step explanation:

0, 3, 8, 15, 24, 35, 48, 63, 80 which is the nth term

first step you have to find how many steps the sequence was going with.

examples= from 0 to 3 the steps were 3

=from 3 to 8 the steps were 5

= from 8 to 15 the steps were 7

you will recognize that the steps the sequence is going with is odd numbers.

so you will use the odd numbers until you find what you need. which leads you to 80 which is the nth number in the sequence.

7 0

3 years ago

Read 2 more answers