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3 years ago

HALP PLEASEEE

Mathematics

1 answer:

Kazeer [188]3 years ago

7 0

Remember that a rational function will have an oblique asymptote if the degree of the polynomial in the numerator is higher than the degree of the polynomial in the denominator. Since the degree of the numerator of our rational function is 2, and the degree of its numerator is 1, our function will have an oblique asymptote. To find it, we are going to use long division:
$\frac{2x^{2} +5x+6}{x-1} = 2x+3$ with a remainder of 3.
The quotient of the division will be the terms of the linear equation that represents the oblique asympote of our function; notice that you don't need to use the remainder at all:

Equation of the oblique asymptote:
$y=2x+3$

We can conclude that the correct answer is <span>C) y = 2x + 3.</span>

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Let be the density function for the shelf life of a brand of banana which lasts up to weeks. Time, , is measured in weeks and .

Maurinko [17]

The question is incomplete. The complete question is :

Let $p(t) = -0.0375t^2 + 0.225t$ be the density function for the shelf life of a brand of banana which lasts up to 4 weeks. Time, t, is measured in weeks and $0 \leq t \leq 4$ . Incorrect answer icon Your answer is incorrect. Find the mean shelf life of a banana using . Round your answer to one decimal place.

Answer:

2.4

Step-by-step explanation:

Given :

$p(t) = -0.0375t^2 + 0.225t$

Mean :

$=\int_0^4 tp (t) \ dt$

$=\int_0^4 t (0.0375 t^2 + 0.225t) \ dt$

$=-0.0375 \int_0^4 t^3 \ dt + 0.225 \int_0^4 t^2 \ dt$

$=-0.0375 \left[ \frac{t^4}{4} \right]^4_0 + 0.225 \left[ \frac{t^3}{3} \right]^4_0$

$=-0.0375 (64) + 0.225 \left( \frac{64}{3} \right)$

$=-2.5 + 4.8$

= 2.4

Therefore, the mean is 2.4

4 0

3 years ago

Can somebody help me please. It is a easy one

mylen [45]

Answer:17

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Can someone help me? Thanks in advance!

Alex Ar [27]

Sure what can I help with?

7 0

3 years ago

A(n) __________ is an operation that reverses the effect of another operation.

Studentka2010 [4]

An inverse operation reverses the effect of another operation. Answer is C

8 0

4 years ago

What is the solution of -8/2y-8=5/y+4 - 7y+8/y^2-16

blsea [12.9K]

Answer:

Step-by-step explanation:

$Domain:\\\\2y-8\neq0\ \wedge\ y+4\neq0\ \wedge\ y^2-16\neq0\\\\2y\neq8\ \wedge\ y\neq-4\ \wedge\ y^2\neq16\\\\y\neq4\ \wedge\ y\neq-4\ \wedge\ y\neq\pm\sqrt{16}\\\\y\neq4\ \wedge\ y\neq-4\ \wedge\ y\neq-4\ \wedge\ y\neq4\\\\\boxed{y\neq-4\ \wedge\ y\neq4}\\\\===========================$

$\dfrac{-8}{2y-8}=\dfrac{5}{y+4}-\dfrac{7y+8}{y^2-16}\\\\\dfrac{-8}{2(y-4)}=\dfrac{5}{y+4}-\dfrac{7y+8}{y^2-4^2}\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\\dfrac{-8}{2(y-4)}=\dfrac{5}{y+4}-\dfrac{7y+8}{(y-4)(y+4)}\qquad\text{multiply both sides by (-2)}\\\\\dfrac{8}{y-4}=-\dfrac{10}{y+4}+\dfrac{14y+16}{(y-4)(y+4)}\qquad\text{add}\ \dfrac{10}{y+4}\ \text{to both sides}\\\\\dfrac{8}{y-4}+\dfrac{10}{y+4}=\dfrac{14y+16}{(y-4)(y+4)}$

$\dfrac{8(y+4)}{(y-4)(y+4)}+\dfrac{10(y-4)}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\\\\\dfrac{8(y+4)+10(y-4)}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\qquad\text{use the distributive property}\\\\\dfrac{8y+32+10y-40}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\qquad\text{combine like terms}\\\\\dfrac{(8y+10y)+(32-40)}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\\\\\dfrac{18y-8}{(y-4)(y+4)}=\dfrac{14y+16}{(y-4)(y+4)}\iff18y-8=14y+16\\\\18y-8=14y+16\qquad\text{subtract 14y from both sides}$

$4y-8=16\qquad\text{add 8 to both sides}\\\\4y=24\qquad\text{divide both sides by 4}\\\\y=8\in D$

8 0

3 years ago