All categories

2 years ago

Solve: 7 -2x= 2(x - 4) - 1

Mathematics

1 answer:

dalvyx [7]2 years ago

5 0

Answer:

the answer is four

Step-by-step explanation:

you distribute the 2 to the numbers in the parenthesis

You might be interested in

A car rents for $40 per day plus 18¢ per mile. You are on a daily budge of $67. What mileage will allow you to stay within your

IrinaVladis [17]

Out of your $67 for the day, $40 of it goes to the rental before you even drive it out of the lot. That leaves you $27 a day for mileage.

$27 / $0.18 per mile = <u>150 miles</u> per day, tops.

4 0

3 years ago

Read 2 more answers

Use a graphing utility to graph the function and the damping factor of the function in the same viewing window.

Bas_tet [7]

Answer:

The function touches the damping factor

at x= $\frac{(4n-3)\pi}{2}$ and x= $\frac{(4n-1)\pi}{2}$

The x-intercept of f(x) is

at x= $n\pi$

Step-by-step explanation:

Given function is f(x)= $e^{-3x} sin(x)$ and damping factor as y= $e^{-3x}$ and y= $(-1)e^{-3x}$

To find when function touches the damping factor:

For f(x)= $e^{-3x} sin(x)$ and y= $e^{-3x}$

Equating the both the equation,

$e^{-3x} sin(x)=e^{-3x}$

$sin(x)=1$

x= $\frac{(4n-3)\pi}{2}$

For f(x)= $e^{-3x} sin(x)$ and y= $(-1)e^{-3x}$

Equating the both the equation,

$e^{-3x} sin(x)=(-1)e^{-3x}$

$sin(x)=(-1)$

x= $\frac{(4n-1)\pi}{2}$

Therefore, The function touches the damping factor x= $\frac{(4n-3)\pi}{2}$ and x= $\frac{(4n-1)\pi}{2}$

To find x-intercept of f(x):

For x-intercept, y=0

f(x)= $e^{-3x} sin(x)$

y= $e^{-3x} sin(x)$

$e^{-3x} sin(x)=0$

Hence, $e^{-3x}$ is always greater than zero.

Therefore, $sin(x)=0$

x= $n\pi$

Thus,

The x-intercept of f(x) is at x= $n\pi$

7 0

3 years ago

Find the product of 400 and 9.460730473 times 10/15

azamat

Answer:

272.973820315

Step-by-step explanation:

5 0

3 years ago

Monica ran 20 miles in two days. How many miles did she run each day, if she ran 4 more miles on the second day than on the firs

sweet-ann [11.9K]

Answer:6 miles

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Multiply? I don't know how to do this o.o<br><br> (X+4√2) (x-4√2) (x-3i)

Korolek [52]

Answer:

$x^{3} -(3i) \; x^{2} -32x + 96 i$ .

Step-by-step explanation:

Notice that the first two factors are in the form $(x-a)(x+a)$ , which is equal to $(x^{2} - a^{2})$ . Start by combining and expanding these two factors:

Let $a = 4\sqrt{2}$ .

$a^{2} = 16 \times 2 = 32$ .

$(x + a) (x - a) = x^{2} - a^{2} = x^{2} -32$ .

This expression can now be expressed as $(x^{2} - 32)(x - 3i)$ . $i$ stands the unit imaginary number, where $i^{2} = -1$ . Unless $i$ is raised to a certain power other than $1$ , it can be treated just like a constant.

Expand this expression using FOIL:

$\begin{aligned}&(x^{2} - 32)(x - 3i)\\=&\underbrace{x^{2}\cdot x}_{\verb!F!} +\underbrace{(x^{2})(-3i)}_{\verb!O!} + \underbrace{(-32)x}_{\verb!I!} + \underbrace{(-32)(-3i)}_{\verb!L!}\\=& x^{3} -(3i)x^{2}-32x + 96i \end{aligned}$ .

6 0

2 years ago