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3 years ago

7

Factor the polynomial below. 20x squared minus 45

1 answer:

Whitepunk [10]3 years ago

5 0

The Factored Polynomial Is:

5 (2x-3)(2x+3)

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You drive 150 miles in 3 hours before stopping for 30 minutes to have lunch and gas. After lunch you travel 100 miles in an hou

KiRa [710]

Average speed = total miles driven / total driving time
average speed = (150 + 100) / (3 + 1 1/2) =
250 / (4 1/2) =
250 / (9/2) =
250 * 2/9 =
500 / 9 = 55.55 mph

7 0

3 years ago

If a right circular cone intersects a plane that runs parallel to the edge of the cone, the resulting curve will be a(n)?

faust18 [17]

Question: <span>If a right circular cone intersects a plane that runs parallel to the edge of the cone, the resulting curve will be a(n)?

Answer: Parabola

HOPE THIS HELPS! ^_^</span>

6 0

3 years ago

Read 2 more answers

Kiran and 3 of his friends are going to split the lunch bill of $24.48 how much will each person pay

babymother [125]

Answer:

Each person pays $6.12

Step-by-step explanation:

Hope this helps

3 0

3 years ago

Consider the differential equation: xy′(x2+7)y=cos(x)+e3xy. Put the differential equation into the form: y′+p(x)y=g(x), determin

icang [17]

Answer:

Linear and non-homogeneous.

Step-by-step explanation:

We are given that

$\frac{xy'}{(x^2+7)y}=cosx+\frac{e^{3x}}{y}$

We have to convert into y'+P(x)y=g(x) and determine P(x) and g(x).

We have also find type of differential equation.

$y'=\frac{(x^2+7)y}{x}(cosx+\frac{e^{3x}}{y}}$

$y'=\frac{(x^2+7)cosx}{x}y+\frac{(x^2+7)e^{3x}}{x}$

$y'-\frac{cosx(x^2+7)}{x}y=\frac{e^{3x}(x^2+7)}{x}$

It is linear differential equation because this equation is of the form

y'+P(x)y=g(x)

Compare it with first order first degree linear differential equation

$y'+P(x)y=g(x)$

$P(x)=-\frac{cosx (x^2+7)}{x},g(x)=\frac{e^{3x}(x^2+7)}{x}$

$\frac{dy}{dx}=\frac{(x^2+7)(ycosx+e^{3x})}{x}$

Homogeneous equation

$\frac{dy}{dx}=\frac{f(x,y)}{g(x,y)}$

Degree of f and g are same.

$f(x,y)=(x^2+7)(ycosx+e^{3x}),g(x,y)=x$

Degree of f and g are not same .

Therefore, it is non- homogeneous .

Linear and non-homogeneous.

3 0

3 years ago

\begin{aligned} &y=2x +1 \\\\ &x-y=-3 \end{aligned} y=2x+1 x−y=−3 Is (2,5)(2,5)left parenthesis, 2, comma, 5, right

trapecia [35]

Answer:

Yes

Step-by-step explanation:

Given the system of equations

$\begin{aligned} &y=2x +1 \\\\ &x-y=-3 \end{aligned}$

We want to determine if (2,5) is a solution of the system.

We can do this by substitution of the given point into the equations and see if it holds.

Given (x,y)=(2,5), x=2, y=5

<u>In the first equation</u>

y=2x+1

5=2(2)+1

5=5

Therefore, <u>the point (2,5) satisfies the first equation.</u>

<u>In the second equation</u>

$x-y=2-5=-3$

Since our result (-3) is equal to the Right Hand Side, <u>the point also satisfies the second equation.</u>

<u />

Therefore, (2,5) is a solution of the system.

7 0

3 years ago