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3 years ago

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Which of the following correctly uses absolute value to show the distance between -50 and 12? A: |-50 - 12| = |-62| = -62 units

B: |-50 + 12| = |-38| = 38 units C: |-50 + 12| = |-38| = -38 units D: |-50 - 12| = |-62| = 62 units

1 answer:

Zanzabum3 years ago

7 0

I’m sorry I’m answering this to ask a question

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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

Marie is purchasing a $108,000 home with a 30 year ortgage at 5.25%. What is her monthly principal and interest payment

schepotkina [342]

Answer:

Monthly interest rate is r=0,004375

Monthly principal c=590,625

Step-by-step explanation:

Monthly interest payment rate :

$r=\frac{5.25}{12}:100=0,0004375$

Now, we need to find monthly principal payment : $c=\frac{rP}{1-(1+r)^{-N}}$

Use this rule : $N=30*12=360$

P=108000

r=0,004375

$c=\frac{0.004375*108000}{1-(1+0.004375)^{-360}} =\frac{472.5}{0.8}=590,625$

5 0

3 years ago

Read 2 more answers

What is common monomial factor of 10x2+10?

AysviL [449]

Answer:

10

Step-by-step explanation:

10x2+10

=10（2x+1)

6 0

3 years ago

I need help on this it is a fraction subtract another fraction which is negative thx to whoever helps 5/7-(-1/7)

Sav [38]

Answer:

$\frac{5}{7}-(-\frac{1}{7})=\frac{6}{7}$

Step-by-step explanation:

To evaluate :

$\frac{5}{7}-(-\frac{1}{7})$

Solution:

Two negatives multiply to become a positive.

Thus, we can remove parenthesis by reversing the signs of the fraction by multiplying the negative outside.

⇒ $\frac{5}{7}+\frac{1}{7}$

Since the denominators are same for both fractions, so we simply add the numerators.

⇒ $\frac{5+1}{7}$

⇒ $\frac{6}{7}$ (Answer)

6 0

3 years ago

The owner of the Rancho Grande has 3,044 yd of fencing with which to enclose a rectangular piece of grazing land situated along

inysia [295]

Answer:

Step-by-step explanation:

Area of the rectangular piece A = xy

x is the length

y is the width

Perimeter =2x+2y

Given

Perimeter = 3044yds

3044 = 2x+2y

1522 = x+y

x = 1522-y

Substitute into the formula for area

A = xy

A = (1522-y)y

A = 1522y-y²

To maximize the area, dA/dy must be zero

dA/dy = 1522-2y

0 = 1522-2y

2y = 1522

y = 1522/2

y = 761

Since x+y = 1522

X+761 = 1522

X = 761

Dimension is 761yd by 761yd

Area = 761×761 = 579121yd²

7 0

2 years ago