I will put an equation to the corresponding number.
1) Seven more than 2 times a number is 23 => 2n + 7 = 23
2) The difference of 2 times a number and 7 is 23 => 2n - 7 = 23
3) The sum of 7 times a number and 2 is 23 => 7n + 2 = 23
4) Seven less than 2 times a number is 23 => 2n - 7 = 23
Based on the choices. The equation that matches sentences 2 & 4 is letter b. 2n - 7 = 23
Though both sentences are structured differently and used different terms, they both refer to subtraction of 7 from the product of 2 and n to get the difference of 23.
Answer:
Option 2 is the correct answer
Step-by-step explanation:
A quadratic function is a function in which the highest power to which the variable is raised is 2
1) f(x) = −8x3 − 16x2 − 4x
The given function is a cubic function because the highest power
to which the variable,x is raised is 3
2) f(x) = 3x²/4 + 2x - 5
The given function is a quadratic function because the highest power
to which the variable,x is raised is 2
3) f(x) = 4/x² - 2/x + 1
It can be rewritten as
f(x) = 4x^-2 - 2x^-1 + 1
The given function is not a quadratic function because the highest power to which the variable,x is raised is - 2
4) f(x) = 0x2 − 9x + 7
It can be rewritten as
f(x) = - 9x + 7
The given function is not a quadratic function because the highest power to which the variable,x is raised is 1
Multiply both sides by negative four to get rid of the fraction
j+18=-32
subtract 18
j=-50
Answer:
The statement is true for every n between 0 and 77 and it is false for 
Step-by-step explanation:
First, observe that, for n=0 and n=1 the statement is true:
For n=0: 
For n=1: 
From this point we will assume that 
As we can see, 
and 
. Then,
Now, we will use the formula for the sum of the first 4th powers:
Therefore:
and, because 
,
Observe that, because 
and is an integer,
In concusion, the statement is true if and only if n is a non negative integer such that 
So, 78 is the smallest value of n that does not satisfy the inequality.
Note: If you compute 
for 77 and 78 you will obtain:
