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schepotkina [342]

3 years ago

6

Write an equation for a rational function with:

1 answer:

Black_prince [1.1K]3 years ago

4 0

Answer:

y=(6(x+6)(x-3))/((x-2)(x+3))

Step-by-step explanation:

The vertical asymptote should be in the denominator. The x-interceps should be in the numerator. Because we have horizontal asymptote y=6, then we have to put 6 in the numerator. the horizontal asymptote is the leading coefficient of the numerator ÷ the leading coefficient of the denominator, when the degree of the numerator and denominator are the same.

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Expand the following expression by using the distributive property method

katen-ka-za [31]

Answer:

12x + 15y

Step-by-step explanation:

3 x 4x= 12x

3 x 5y = 15y

5 0

3 years ago

What is the sum of the first 35 terms in the series 7+9+11+

Temka [501]

In below formula for arithmetic sequence you can fill in a=7 (start), d=2 (interval) and n=35 (nr terms) and you get

17.5(14 + 34*2) = 1435

Confirmed by a brute-force addition: 7+9+11+13+15+17+19+21+23+25+27+29+31+33+35+37+39+41+43+45+47+49+51+53+55+57+59+61+63+65+67+69+71+73+75=1435

3 0

4 years ago

A 20-cup fruit salad that is 15% strawberries is in a large container. A second fruit salad is added to the same container, resu

Anika [276]

Answer:

10% strawberries

Step-by-step explanation:

6 0

3 years ago

The differential equation in Example 3 of Section 2.1 is a well-known population model. Suppose the DE is changed to dP dt = P(a

LuckyWell [14K]

Answer:

Decreases

Step-by-step explanation:

We need to determine the integral of the DE;

$dP/dt=P(aP-b)$

$dP=P(aP-b)dt$

$1/(dP^2-bP)dP=dt$

We can solve this by integration by parts on the left side. We expand the fraction 1/P²:

$1/(d-b/P)\cdot{P^2} dP$

let

$u=d-b/P$

$du/dP=b/P^2$

$dP=$ $\int\limits {P^2/b} \, du$

$P=lnu/b$

Substitute u in:

$P=ln(d-b/P)/b$

Therefore the equation is:

$ln(d-b/P)/b=t$

We simplify:

$d-b/P=e^b^t$

$P=b/(d-e^b^t)$

As t increases to infinity P will decrease

6 0

3 years ago

The reflection of H(-10,-11) is H'(10, -11). What is the reflection

diamong [38]

-8,10 because it crosses the y axis

5 0

3 years ago