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3 years ago

Identify the domain of the function shown in the graph .

Mathematics

1 answer:

lilavasa [31]3 years ago

4 0

Answer:

Option B

Step-by-step explanation:

Domain of a function is the set of x-values or input values.

Similarly, Range of a function is the set of y-values of output values.

From the graph attached,

Function is defined for all x-values (For all real numbers).

Therefore, domain of the function is {x | x ∈ R}

Option B will be the answer.

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19) Suppose that there are 55 Democrats and 45 Republicans in the US Senate. A committee of seven senators is to be formed by se

andre [41]

Answer:

Probability = 0.12676992

Step-by-step explanation:

The probability of selecting committee of seven composed of all Democrats.

Total number = 45+55= 100

Number of Democrats = 55

Number of committee = 7

Probability= (55C7)/(100/7)

Where C represent combination sign

Probability = (202927725/1.60075608*10^10)

Probability = 0.12676992

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3 years ago

What is the solution to 12x+4y=6 and 3x+y=-6

umka2103 [35]

$12x+4y=6|\div 2 \\ 3x+y=-6|\cdot(-2)\\\\
6x+2y=3\\
\underline{-6x-2y=12}\\
0=15\\\\
x,y\in\emptyset

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3 years ago

Let f(x) = 2x + 2. Solve f−1(x) when x = 4.

malfutka [58]

10 would be you best choice

4 0

3 years ago

Howard cuts 54 centimeters off a 1-meter board.how much of the board does Howard have left?

kupik [55]

1m=100cm
100-54
=46cm
(0.46m)

3 0

4 years ago

Guess a solution to y'' + y' + y = 5.

andrew-mc [135]

Answer:

general solution= $e^{-\frac{1}{2} x}(Acos\frac{3}{2} x+Bsin\frac{3}{2}x)$ +5

Step-by-step explanation:

using linear differential equation method

y'' + y' + y = 5

writing down the characteristics equation.

$m^2+m+1=0$

using quadratic formula

$m=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

we get

$m=\frac{-1\pm \sqrt{1^2-4(1)(1)}}{2(1)}$

$m=-\frac{1}{2} \pm \frac{3}{2} i$

now Complementary function(CF)

$y=e^{ax}(Acosbx+Bsinbx)\\y=e^{-\frac{1}{2} x}(Acos\frac{3}{2} x+Bsin\frac{3}{2}x)$

now for particular integrals

$D^2y+Dy+y=5\\(D^2+D+1)y=5\\y=\frac{5}{D^2+D+1}$

$P.I.=\frac{5\times e^{0x} }{D^2+D+1}$

putting D=0

we get

P.I.=5

general solution=CF+PI

general solution= $e^{-\frac{1}{2} x}(Acos\frac{3}{2} x+Bsin\frac{3}{2}x)$ +5

6 0

4 years ago