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3 years ago

Multiply and show all steps please!!

Mathematics

2 answers:

Mazyrski [523]3 years ago

5 0

the answer is 80 take the positive and negative and use the sign change rule

garik1379 [7]3 years ago

4 0

Answer:

Step-by-step explanation:

First, find the square roots.

$\sqrt{-16} =4i$

$\sqrt{-64} =8i$

Remember: i stands for $\sqrt{-1}$

Then use the FOIL method to multiply.

(3+4i)(6-8i)

18-24i+24i-32i²

i²= -1, so :

18+32

I have no idea what the other person did, but its wrong.

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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

Simplify the expression -2x^2(4x − 3). -8x3 − 6x2 -8x3 + 6x2 8x3 − 6x2 8x3 + 6x2

Digiron [165]

To simplify the expression we are going to use the distributive property of multiplication: $a(b+c)=ab+ac$ .
We can infer from our problem that $a=-2x^2$ , $b=4x$ , and $c=-3$ . So lets apply the property to simplify our expression:
$-2x^2(4x-3)=(-2x^2)(4x)+(-2x^2)(-3)$
$(-2x^2)(4x)+(-2x^2)(-3)=-8x^3+6x^2$

We can conclude that the correct answer is -8x3 + 6x2

8 0

3 years ago

At 10 am a 6-foot- tall man casts a 4.5 foot shadow. How long a shadow cast by a 50-foot tree?

vaieri [72.5K]

6 foot makes 4.5 foot shadow
1 foot makes=4.5/6
so 50 foot =4.5/6*50 = tree makes 37.5 foot shadow

4 0

2 years ago

30 coins consisting of quarters and dimes, which total is $5.70. How

Alex

Answer:

18 quarters

Step-by-step explanation: