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Inga [223]
3 years ago
14

Determine whether the function below is an even function, an odd function, both, or neither.

Mathematics
2 answers:
Kipish [7]3 years ago
6 0

Answer:

Even Function

Solution:

For an even function:

f(x) = f(-x)

For an odd function:

f(x) = -f(x)

Since f(-x) = f(x), the given function is an even function.

kifflom [539]3 years ago
5 0
The correct answer is A.
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Convert 156% to a decimal
Fofino [41]

Answer:

1.56

Step-by-step explanation:

156 divided by 100

4 0
3 years ago
Read 2 more answers
The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 50 ft². Find the dimensions
Mariulka [41]

Answer

Length = 10 ft

Width = 5 ft

Explanation

Area of the rectangle given = 50 ft²

Let the width of the rectangle be x

So this means the length of the rectangle will be 3x - 5

What to find:

The dimensions of the rectangle.

Step-by-step solution:

Area of a rectangle = length x width

i.e A = L x W

Put A = 50, L = 3x - 5, W = x into the formula.

\begin{gathered} 50=(3x-5)x \\ 50=3x^2-5x \\ 3x^2-5x-50=0 \end{gathered}

The quadratic equation can now be solve using factorization method:

\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be:

\begin{gathered} Length=3x-5=3(5)-5=15-5=10\text{ }ft \\  \\ Width=x=5\text{ }ft \end{gathered}

7 0
1 year ago
What is the number 154 798 105 in expanded notation​
Rama09 [41]

Expanded form:

1 × 100,000,000
+ 5 × 10,000,000
+ 4 × 1,000,000
+ 7 × 100,000
+ 9 × 10,000
+ 8 × 1,000
+ 1 × 100
+ 0 × 10
+ 5 × 1

I hope it helps :)
4 0
3 years ago
P and q are two arithmetic sequences. The first four terms of sequence P are 2,6,10,14. The nth term of sequence Q is 145-3n. Th
Tomtit [17]

Answer:

r = 21

Step-by-step explanation:

nth of sequence P :

T_{n} = 4n -2

r^{th} term : 4r-2=145-3r\\4r+3r=145+2\\7r=147\\r=21

5 0
2 years ago
Which of the following situations represents a proportional
Mamont248 [21]
The answer is that be C.
4 0
3 years ago
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