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Usimov [2.4K]
3 years ago
11

How do I simplify this?​

Mathematics
1 answer:
vladimir1956 [14]3 years ago
8 0

Answer:

Domain: all real numbers except 0 and -3

Vertical asymptotes: x = 0; x = -3

Step-by-step explanation:

The domain is the set of numbers that can be substituted for x.

The expression has x in the denominator. Since division by zero is undefined, x cannot have any value that would cause a zero in the denominator.  To find which values of x cause a zero in the denominator, we set the denominator equal to zero and solve the equation for x.

2x^2 + 6x = 0

Factor 2x.

2x(x + 3) = 0

Divide both sides by 2.

x(x + 3) = 0

x = 0 or x + 3 = 0

x = 0 or x = -3

Since the values x = 0 and x = -3 cause the denominator to equal zero, these two values of x must be excluded from the domain.

Domain: all real numbers except 0 and -3

The vertical asymptotes happen at the x values excluded from the domain.

Vertical asymptotes: x = 0; x = -3

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Colt1911 [192]

Answer:

61.25%

Step-by-step explanation:

percent = part/whole * 100%

percent = 98/160 * 100%

percent = 0.6125 * 100%

percent = 61.25%

Answer: 61.25%

8 0
3 years ago
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Please help! i will give 20 points
Tom [10]

Answer:

Jamie is closer to Cameron

Step-by-step explanation:

Arthur is 12 meters away from Cameron, and Jamie is 8 meters away from Cameron. That is assuming is grid tile is a meter.

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3 years ago
Write an equation of the line parallel to x+2y=-4 through the point (-8,5)<br> show all work
scoundrel [369]

Answer:

The equation of the parallel line would be y = -1/2x + 1

Step-by-step explanation:

To start we need to find the slope of the original  line. We can do that by solving for y.

x + 2y = -4

2y = -x - 4

y = -1/2x - 2

Since the slope of the original line is -1/2 and parallel lines have the same slope, we know the new line will also have -1/2 slope. Now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

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3 years ago
Problem A. Consider the following initial value problem for a damped driven linear oscillator: m 2 + b** + kx} = f sin(St); x(0)
skad [1K]

Answer:

a = L

b = MT^(-1)

c = LT^(-1)

k = MT^(-2)

f = MLT^(-2)

S = T^(-1)

Step-by-step explanation:

x (0) = a

x is denoted by displacement in vibration analysis hence attains units of x.

Hence, a = L

b is the damping coefficient:

b = \frac{F}{\frac{dx}{dt} } \\= MLT^(-2) / LT^(-1)\\= MT^(-1)

x'(0) = c

dx/dt = velocity hence c attains the units of velocity

c = LT^(-1)

Coefficient k is the stiffness:

k = \frac{F}{x}  = \frac{MLT^(-2)}{L} = MT^(-2)

Coefficient f is the magnitude of the exciting force

F = m*acceleration = MLT^(-2)

Coefficient S is the angular frequency

angular frequency is displacement in radians per seconds; hence,

S = T^(-1)

7 0
3 years ago
If there are 80 pages in this weeks edition, how many pages can she predict will have advertisements
Oxana [17]

Answer:32

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