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nevsk [136]
3 years ago
7

Determine the domain of the function. f as a function of x is equal to the square root of x plus one divided by x plus four time

s x minus six.
Mathematics
1 answer:
harina [27]3 years ago
4 0

Answer:

a)  

Step-by-step explanation:

We have been given a function . We are asked to find the domain of our given function.

We can see that our given function is a rational function and numerator of our given function is a square root.

To find the domain of our given function, we will find the number that will make our denominator 0 and the domain of square root function will be the values of x that will make our numerator non-negative.

Undefined points for our given function:

The domain of denominator is all values of x, where x is not equal to negative 4 and positive 6.

Non negative values for radical:

The domain of numerator is all value of x greater than or equal to negative

Upon combining real regions and undefined points for our given function, the domain of our given function will be all values of x greater than or equal to negative 1, where x is not defined for 6.

Therefore, domain of our given function is .

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kykrilka [37]
(4,52) would be the ordered pairs.

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5 0
3 years ago
The acceleration function a(t) (in m/s2) and the initial velocity v(0) are given for a particle moving along a line.
klemol [59]

Answer:

A: v(t)=-t^2+4t-5

Step-by-step explanation:

Acceleration is second derivative of position, velocity is first derivative. Therefore, the velocity is the integral of acceleration.

v(t)=\int\ {2t+4} \, dt

Integrate:

-t^2+4t+C

V(0)=-5:

-0^2+4(0)+C=-5\\C=-5

Therefore, v(t):

v(t)=-t^2+4t-5

7 0
3 years ago
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Harrizon [31]
Your answer is going to be Letter B
8 0
3 years ago
At a yearly basketball tournament, 64 different teams compete. After each round of the tournament, one-fourth of the teams remai
artcher [175]

Answer:

64*(1/4)^x

Step-by-step explanation:

64 is the starting number because it is given, and x represents how many rounds there are. 1/4 represents how much of the teams remain after each round.

5 0
3 years ago
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Svetlanka [38]

Answer:

C

Step-by-step explanation:

calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = \frac{0-2}{4-0} = \frac{-2}{4} = - \frac{1}{2}

the y- intercept is the value of y where the line crosses the y- axis , then

y- intercept = 2

8 0
2 years ago
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