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Arlecino [84]
3 years ago
11

The u.s. senate is composed of 2 senators from each state

Mathematics
1 answer:
Anit [1.1K]3 years ago
4 0
The US Senate is composed of 2 Senators from each of the 50 states to give a total of 100 people in the Senate.
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<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B%282x%2B1%29%28x-5%29%7D%7B%28x-5%29%28x%2B4%29%5E%7B2%7D%20%7D" id
dybincka [34]

i) The given function is

f(x)=\frac{(2x+1)(x-5)}{(x-5)(x+4)^2}

The domain is

(x-5)(x+4)^2\ne 0

(x-5)\ne0,(x+4)^2\ne 0

x\ne5,x\ne -4

ii) For vertical asymptotes, we simplify the function to get;

f(x)=\frac{(2x+1)}{(x+4)^2}

The vertical asymptote occurs at

(x+4)^2=0

x=-4

iii) The roots are the x-intercepts of the reduced fraction.

Equate the numerator of the reduced fraction to zero.

2x+1=0

2x=-1

x=-\frac{1}{2}

iv) To find the y-intercept, we substitute x=0 into the reduced fraction.

f(0)=\frac{(2(0)+1)}{(0+4)^2}

f(0)=\frac{(1)}{(4)^2}

f(0)=\frac{1}{16}

v) The horizontal asymptote is given by;

lim_{x\to \infty}\frac{(2x+1)}{(x+4)^2}=0

The horizontal asymptote is y=0.

vi) The function has a hole at x-5=0.

Thus at x=5.

This is the factor common to both the numerator and the denominator.

vii) The function is a proper rational function.

Proper rational functions do not have oblique asymptotes.

6 0
3 years ago
What is the x-intercept and the y-intercept for x+2y=8
Ierofanga [76]
To find the x-intercept, you need to set y equal to zero(think about this on a  graph!)
This will become:
x + 2(0) = 8
If we remove the unnecessary zero:
x = 8
That's the x intercept, which can be expressed as the point (8,0).

To find the y-intercept, you need to set x equal to zero(again, think about that on a graph!)
This becomes:
0 + 2y = 8
Remove the unnecessary 0:
2y = 8
Divide both sides by 2:
y = 4
There ya go! Or, in point form: (0, 4)

Hope this helped! :)
~Chrys
8 0
3 years ago
Someone please help!
DochEvi [55]

Answer: 62cm^2

Step-by-step explanation: 70-8=62

7 0
3 years ago
What weighs more 4 pounds of books or 60 ounces of pebbles
erma4kov [3.2K]
4 pounds of books because 60 oz only equals 3.75 pounds.
6 0
3 years ago
Read 2 more answers
Assume that human body temperatures are normally distributed with a mean of 98.19 and a standard deviation of 0.61
Alona [7]

Answer:

Ok I'm assuming that know what??

Step-by-step explanation:

8 0
2 years ago
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