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3 years ago

Help plz!!!!!!!!!!!!!

Mathematics

1 answer:

8_murik_8 [283]3 years ago

7 0

Answer:

your multipling the same number by the same amount of exponents

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The distance of a planet to a rocket in space is modeled by the function d(x)=−x2−7x+17 , where the distance is measured in hund

Anna71 [15]

Answer:

(0, 1.82)

Step-by-step explanation:

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3 years ago

A trapezoid has a height of 10 centimeters. One parallel base has a length of 7 centimeters, and the other parallel base has a l

Papessa [141]

Answer:

I couldn't see the picture it is black

Step-by-step explanation:

the formula for the area of a trapezoid is:

$\frac{b1+b2}{2} h$

insert 7 for b1, 13 for b2, and 10 for h

$\frac{7+13}{2} 10$

100

Hope that helps

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2 years ago

Describe the solution(s) to 9x² - 36x + 36 = 0 by just determining the radicand. Show your work. (10 points) Part B: Describe th

Mariana [72]

The solution to the equations are:

9x² - 36x + 36 = 0 has two equal real solutions
x² - x + 4 = 0 has no real solutions
The factored expression of 4x² + 23 – 35 is 4(x² -3)

<h3>Part A: Describe the solution</h3>

The equation is given as:

$9x\² - 36x + 36 = 0$

The above equation is a quadratic equation which can be represented as:

$ax\² + bx + c = 0$

The discriminant (d) is calculated as:

$d = b\² - 4ac$

So, we have:

$d = (-36)\² - 4 * 9 * 36$

$d = 0$

A discriminant of 0 means that the equation has two equal real solutions

Hence, 9x² - 36x + 36 = 0 has two equal real solutions

<h3>Part B: Describe the solution</h3>

The equation is given as:

$x\² - x + 4 = 0$

The above equation can be represented as:

$ax\² + bx + c = 0$

The discriminant (d) is calculated as:

$d = b\² - 4ac$

So, we have:

$d = (-1)\² - 4 * 1 * 4$

$d = -15$

A discriminant of -15 means that the equation has no real solutions

Hence, x² - x + 4 = 0 has no real solutions

<h3>Part C: The solution to the expression</h3>

We have:

$4x\² + 23 - 35$

Evaluate the difference

$4x\² -12$

Factor out 4

$4(x\² -3)$

Hence, the factored expression of 4x² + 23 – 35 is 4(x² -3)

Read more about quadratic expressions at:

brainly.com/question/10449635

#SPJ1

5 0

1 year ago

Find a linear second-order differential equation f(x, y, y', y'') = 0 for which y = c1x + c2x3 is a two-parameter family of solu

Alisiya [41]

Let $y=C_1x+C_2x^3=C_1y_1+C_2y_2$ . Then $y_1$ and $y_2$ are two fundamental, linearly independent solution that satisfy

$f(x,y_1,{y_1}',{y_1}'')=0$
$f(x,y_2,{y_2}',{y_2}'')=0$

Note that ${y_1}'=1$ , so that $x{y_1}'-y_1=0$ . Adding $y''$ doesn't change this, since ${y_1}''=0$ .

So if we suppose

$f(x,y,y',y'')=y''+xy'-y=0$

then substituting $y=y_2$ would give

$6x+x(3x^2)-x^3=6x+2x^3\neq0$

To make sure everything cancels out, multiply the second degree term by $-\dfrac{x^2}3$ , so that

$f(x,y,y',y'')=-\dfrac{x^2}3y''+xy'-y$

Then if $y=y_1+y_2$ , we get

$-\dfrac{x^2}3(0+6x)+x(1+3x^2)-(x+x^3)=-2x^3+x+3x^3-x-x^3=0$

as desired. So one possible ODE would be

$-\dfrac{x^2}3y''+xy'-y=0\iff x^2y''-3xy'+3y=0$

(See "Euler-Cauchy equation" for more info)

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3 years ago

A population of insects increases at a rate of 1.5% per day. About how long will it take the population to double?

Debora [2.8K]

Answer:

66.67 days

Step-by-step explanation:

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3 years ago