All categories

4 years ago

8x^2 - 48x = -104. Write the equation so that a = 1: x^2 + _ x = _

Mathematics

1 answer:

Oksanka [162]4 years ago

4 0

Answer:

4 x = 6

Step-by-step explanation:

4x = - 6

You might be interested in

Can someone help me with this geometry question?

lana66690 [7]

Answer:

whats the question

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A college basketball court is 94 feet long and 50 feet wide. What is the diagonal length of the court?

g100num [7]

Drawing a diagonal will create two right triangles. So you can use a^2+ b2 =c^2
So approximately 106.47 feet or the square root of 11336

4 0

4 years ago

Consider the differential equation,

kondor19780726 [428]

Answer:

The two solutions are given as $y_1(t)=\dfrac{1}{9}e^{-8t}+\dfrac{8}{9}e^{t}$ and $y_2(t)=\dfrac{-1}{9}e^{-8t}+\dfrac{1}{9}e^{t}$

Step-by-step explanation:

As the given equation is

$y''+7y'-8y=0\\$

So the corresponding equation is given as

$m^2+7m-8=0$

Solving this equation yields the value of m as

$(m+8)(m-1)=0\\m=-8, m=1$

Now the equation is given as

$y(t)=C_1e^{m_1t}+C_2e^{m_2t}$

Here m1=-8, m2=1 so

$y(t)=C_1e^{-8t}+C_2e^{t}$

The derivative is given as

$y'(t)=-8C_1e^{-8t}+C_2e^{t}$

Now for the first case y(t=0)=1, y'(t=0)=0

$y(t=0)=C_1e^{-8*0}+C_2e^{0}\\1=C_1+C_2\\\\y'(t=0)=-8C_1e^{-8*0}+C_2e^{0}\\0=-8C_1+C_2$

So the two equation of co-efficient are given as

$C_1+C_2=1\\-8C_1+C_2=0$

Solving the equation yield

$C_1=1/9 \\C_2=8/9$

So the function is given as

$y_1(t)=\dfrac{1}{9}e^{-8t}+\dfrac{8}{9}e^{t}$

Now for the second case y(t=0)=0, y'(t=0)=1

$y(t=0)=C_1e^{-8*0}+C_2e^{0}\\0=C_1+C_2\\\\y'(t=0)=-8C_1e^{-8*0}+C_2e^{0}\\1=-8C_1+C_2$

So the two equation of co-efficient are given as

$C_1+C_2=0\\-8C_1+C_2=1$

Solving the equation yield

$C_1=-1/9 \\C_2=1/9$

So the function is given as

$y_2(t)=\dfrac{-1}{9}e^{-8t}+\dfrac{1}{9}e^{t}$

So the two solutions are given as $y_1(t)=\dfrac{1}{9}e^{-8t}+\dfrac{8}{9}e^{t}$ and $y_2(t)=\dfrac{-1}{9}e^{-8t}+\dfrac{1}{9}e^{t}$

7 0

3 years ago

A carnival has a duck pond booth. You choose a rubber duck at random. The mark on the bottom of the duck tells you whether you w

kumpel [21]

Take the number of medium ducks and divide it by the overall number of ducks
13/65=.2

6 0

4 years ago

Read 2 more answers

{d(1) = 2.7 d(n) = d(n-1) x (6.1) find the explicit formula for d(n) <br><br> d(n) = ?

laiz [17]

The explicit formula of the function d(n) is $d(n) = 2.7 * 6.1^{n-1$

<h3>How to determine the explicit formula?</h3>

The function is given as:

d(1) = 2.7

d(n) = d(n-1) x (6.1)

The above means that the function is an exponential function, and it has the following parameters:

First term, d(1) = 2.7

Common ratio, r = 6.1

The explicit formula of an exponential function is:

$d(n) = d(1) * r^{n-1$

So, we have

$d(n) = 2.7 * 6.1^{n-1$

Hence, the explicit formula of d(n) is $d(n) = 2.7 * 6.1^{n-1$

Read more about explicit formulas at:

brainly.com/question/17615101

#SPJ1

4 0

2 years ago

8x^2 - 48x = -104. Write the equation so that a = 1: x^2 + _____ x = _____

8x^2 - 48x = -104. Write the equation so that a = 1: x^2 + _ x = _