Answer:
h(a + 2) = 4a + 3
Step-by-step explanation:
∵ h(x) = 4x - 5
∴ h(a + 2) = 4(a + 2) - 5
∴ h(a + 2) = 4a + 8 - 5 = 4a + 3
<span>Let the 2 consecutive odd integers be represented by:
"x" and "(x+2)
_________________
The product of these two consecutive odd integers is:
________________
</span>→ <span>x*(x + 2); or, write as: x(x + 2)
__________________
The sum </span>of these two consecutive odd integers is:
<span>________________________________
</span>→ <span>x + (x + 2) = (2x + 2)
_______________________________
The product of 2 conductive integers, "</span>x(x + 2)" , is 1 less than
4 times their sum, "(2x + 2)".
<span>______________________________
</span>→ Write as: 4*(2x + 2) − 1 = x(x + 2)
<span>________________________________
Note the distributive property of multiplication:
_______________________________
</span>→ <span>a*(b + c) = ab + ac ;
________________________________
We have:
___________
</span>→ 4*(2x + 2) − 1 = x(x + 2)
<span>_____________________________
</span> → 4*(2x + 2) = (4*2x) + (4*2) = 8x + 8
<span>____________________________________
On the "right side of the equation; we have:
______________________________________
</span>→ x(x + 2) = (x*x) + (x*2) = x² + 2x
<span>_____________________________________
We can rewrite the equation:
__________________________
</span>→ 4*(2x + 2) − 1 = x(x + 2) ;
<span>___________________________
by substituting our obtained "expanded values" for:
"[</span>4*(2x + 2)]" ; and for: "[x(x + 2)]" ;
<span>______________________________________
</span>→ 4*(2x + 2) − 1 = x(x + 2) =
____________________________
→ 8x + 8 − 1 = x² + 2x ;
__________________________________
→ Simplify the "+8 − 1" on the "left-hand side" of the equation to "7"; and subtract "2x" from EACH SIDE of the equation:
<span>____________________________________
</span>→ 8x + 7 − 2x = x² + 2x − 2x ; to get:
<span>____________________________
</span> → 6x + 7 = x² ;
________________________________
→To solve for "x"; Subtract "6x" and subtract "7"; from EACH SIDE of the equation; to get an equation in "quadratic format" ; that is:
<span>_____________________________________________
ax
let x and x+2 be the consecutive odd integers.
Their product is x(x+2)
Their sum is x + x+2 or 2x+2
x(x+2)=4(2x+2)-1
Domain is odd integers</span>
Answer:
mathemiatical porbs is is it itroon poickg niucer g tnt g hayabusa sanjo karaneteooo break the code
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer:
The correct answer is the number in the note is 80 and the first digit is 8.
Step-by-step explanation:
Dr. Green finds a note from another scientist. It says how many boxes of bug nets they should bring, but there is a smudge over the first digit of the number.
Number of nets that they must bring is 320.
Each box contains 4 nets.
There number of boxes necessary to be brought is given by 
= 80.
Therefore the missing digit of number the number in the note is 8.
