The sum of two consecutive odd integers is at most 123. find the pair with the greatest sum
two consecutive odd integers
2x+1,2x+3
The sum of two consecutive odd integers is at most 123
2x+1+2x+3≤123
Solve for x
2x+1+2x+3≤123
4x+4≤123
4x+4-4≤123-4
4x≤119
4/4x≤119/4
x≤119/4
x≤29.25
Substitute any numbers into x that are equal to 29 or less that are consecutive odd integers.
2x+1,2x+3
2 (29)+1,2 (29)+3
58+1,58+3
59,61
Check: 59+61=120
The pair of consecutive odd integers that have a sum of at most 123 are 59 and 61.
Because it has already been factored, we can solve it straight away. Now, since m is a variable, we yield the same result if m = 0 or m = 3 because we have two components to this equation.
We can either have m = 0 or m - 3 = 0
Hence, m is either 0 or 3
Answer:
The expressions are not equivalent because Ella did not know that you can’t use substitution to test for equivalence.
Step-by-step explanation:
<u>Equivalent algebraic expressions</u> are those expressions which on simplification give the same resulting expression.
Two algebraic expressions are said to be <u>equivalent</u> if their values obtained by substituting any values of the variables are same.
Two expressions 3f+2.6 and 2f+2.6 are not equivalent, because when f=1,
Method of substitution can only help her to decide the expresssions are not equivalent, but if she wants to prove the expressions are equivalent, she must prove it for all values of f.
This is true only when f=0.
Hence,
The expressions are not equivalent because Ella did not know that you can’t use substitution to test for equivalence.
Answer:
A is A=2(1+2)a2
B is A≈208.18cm²
Step-by-step explanation:
A explanation is A=2(1+2)a2=2·(1+2)·102≈482.84271
B explanation is A=145(5+25)a2=14·5·(5+2·5)·112≈208.17777cm²
x + 7 = 2(3x - 4) Remove the brackets
x + 7 = 2*3x - 4*2
x + 7 = 6x - 8 Subtract 7 from both sides.
x + 7 - 7 = 6x - 8 - 7
x = 6x - 15 Subtract 6x from both sides
x - 6x = - 15
-5x = - 15 Divide by -5
-5x/-5 = -15/-5
x = 3
