The function notation of the following are:
f(1) = 5
f(0) = 1
f(-3) = -11
f(8) = 33
Given:
x is the input.
the function is 4x+1
f(x) is the output.
we are asked to determine the values of the following :
a. f(1)
x = 1
so f(x) = 4x+1
f(1) = 4(1)+1
f(1) = 4+1
f(1)=5
b. f(0)
x = 0
so f(x) = 4x+1
f(0) = 4(0)+1
f(0) = 0+1
f(0)=1
c. f(-3)
x = -3
so f(x) = 4x+1
f(-3) = 4(-3)+1
f(1) = -12+1
f(1)= -11
d. f(8)
x = 8
so f(x) = 4x+1
f(8) = 4(8)+1
f(8) = 32+1
f(1)=33
Hence we get the required values.
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Answer:
D)4x + 6/(x + 1)(x - 1)
Step-by-step explanation:
A field is basically a rectangle, so to find the perimeter of our field we are using the formula for the perimeter of a rectangle
where
is the perimeter
is the length
is the width
We know from our problem that the field has length 2/x + 1 and width 5/x^2 -1, so 
and 
.
Replacing values:
Notice that the denominator of the second fraction is a difference of squares, so we can factor it using the formula 
where 
is the first term and 
is the second term. We can infer that 
and 
. So, 
. Replacing that:
We can see that the common denominator of our fractions is 
. Now we can simplify our fraction using the common denominator:
We can conclude that the perimeter of the field is D)4x + 6/(x + 1)(x - 1).
Answer:
Greater than symbol.
2/3 > 2/4
Step-by-step explanation:
We have two fractions, 2/3 and 2/4
We then go back to the inequality part of mathematics where we have symbols such as greater than (>), less than (<), and equal to (=).
Of the three inequality symbols, we look and pick at the one that represents best, the fractions we were given.
2/3 and 2/4
With 2/3 being greater than 2/4.
2/3 = 0.67
2/4 = 0.50
Succinctly, 2/3 > 2/4.
The answer is C, when numbers or variables are between "|" (also called bars) it means to remove any negative symbols and think of it as a positive number. If the number is already positive you keep it a positive number.
