Answer: it would be 13
Step-by-step explanation:
Answer:
Range of the given function = -4
Step-by-step explanation:
Range is the set of output values.
In a graph, the set of x-values of the function is know as domain and the set of y-values of the function is known as range.
In the graph red line represents the function.
From the given graph it is clear that the function is defined from x=-1 to x=4.
For each value of x the y-value is -4.
Hence, the range of the function is -4.
Answer:
The pieces are 55 inches, 55 inches and 46 inches long
Step-by-step explanation:
A 13ft board is to be cut into three pieces consisting of two equal length ones. The third one is 9in shorter than each of the other two.
Let us first convert the length of the board to inches:
1 ft = 12 inches
13 ft = 12 * 13 = 156 inches
Let the length of each of the other two pieces be x.
Therefore, the length of the third piece is (x - 9)
Therefore, the sum of the lengths of the three pieces is equal to 156 inches. This means that:
x + x + (x - 9) = 156
x + x + x - 9 = 156
=> 3x = 156 + 9
3x = 165
x = 165 / 3 = 55 inches
Each of the first two pieces are 55 inches long.
The length of the third piece will be:
55 - 9 = 46 inches
The pieces are 55 inches, 55 inches and 46 inches long.
Answer:
b=17
Step-by-step explanation:
b=(45+6)/3
b=51/3
b=17
she bought 17 books since the original price of evereything was 51 dollars before the discount of 6 dollars.
The second term of the expansion is
.
Solution:
Given expression:

To find the second term of the expansion.

Using Binomial theorem,

Here, a = a and b = –b

Substitute i = 0, we get

Substitute i = 1, we get

Substitute i = 2, we get

Substitute i = 3, we get

Substitute i = 4, we get

Therefore,



Hence the second term of the expansion is
.