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Tomtit [17]
3 years ago
5

What is the domain of f(x)=-log(5-x)+9?

Mathematics
1 answer:
ioda3 years ago
7 0

Answer:

(5-x)log(5-x)

Step-by-step explanation:

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Which of the following is a solution to 2cos2x − cos x − 1 = 0?
Pavel [41]

Answer:

Option A is correct.

Solution for the given equation is, x = 0^{\circ}

Step-by-step explanation:

Given that : 2\cos^2x -\cos x -1 =0

Let \cos x =y

then our equation become;

2y^2-y-1= 0           .....[1]

A quadratic equation is of the form:

ax^2+bx+c =0.....[2] where a, b and c are coefficient and the solution is given by;

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

Comparing equation [1] and [2] we get;

a = 2 b = -1 and c =-1

then;

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

Simplify:

y = \frac{ 1 \pm \sqrt{1+8}}{4}

or

y = \frac{ 1 \pm \sqrt{9}}{4}

y = \frac{ 1 \pm 3}{4}

or

y = \frac{1+3}{4} and y = \frac{1 -3}{4}

Simplify:

y = 1 and y = -\frac{1}{2}

Substitute y = cos x we have;

\cos x = 1

⇒x = 0^{\circ}

and

\cos x = -\frac{1}{2}

⇒ x = 120^{\circ} \text{and} x = 240^{\circ}

The solution set:  \{0^{\circ}, 120^{\circ} , 240^{\circ}\}

Therefore, the solution for the given equation  2\cos^2x -\cos x -1 =0 is, 0^{\circ}





8 0
4 years ago
Read 2 more answers
Simplify: 32 + (-3 + 2) x 6. To simplify, you first evaluate the exponents
MakcuM [25]

Answer:

26

Step-by-step explanation:

32 + (-3 + 2) x 6

Parentheses first

32 + (-1) x 6

Multiply and divide

32-6

26

4 0
3 years ago
Q
Stella [2.4K]
C.12 i believe........
3 0
3 years ago
Solve the system by graphing
kozerog [31]

Answer:

(0,-2)

Step-by-step explanation:

Plug in each value for the equation

-3(0) - (-2) = 2

0 - (-2) = 2

2=2

5 0
3 years ago
What is an addend again?
VLD [36.1K]

Answer: In math, an addend can be defined as the numbers or terms added together to form the sum. An example is. The numbers 7,4, and 9 are addends, and 20 is the sum.

Step-by-step explanation:

I hope that makes sense lol someone else sent that to me

3 0
3 years ago
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