<h3>
Answer:</h3>
- -100x +100; 3
- 5x +81; 162
<h3>
Step-by-step explanation:</h3>
The distributive property is your friend. It tells you ...
a(b + c) = ab + ac
It can also be used to simplify the product of binomials (or other polynomials).
(a +b)^2 = (a +b)(a +b) = a(a +b) + b(a +b) = a^2 +ab +ab +b^2
(a +b)^2 = a^2 +2ab + b^2 . . . . . . . worth remembering
1. (x -10)^2 -x(x +80) = (x^2 -20x +100) +(-x^2 -80x)
= -100x +100 . . . . . . simplified form
For the purposes of calculation, it can be easier to factor out 100:
= 100 (1 -x)
Then for x = 0.97
= 100(1 -0.97) = 100(0.03) = 3
___
2. (2x +9)^2 -x(4x +31) = (4x^2 +36x +81) -4x^2 -31x = 5x +81
For x = 16.2, this is ...
5(16.2) +81 = 81 +81 = 162
_____
The purpose of the attachment is to show the evaluation is correct.
Answer:
7 and 9
Step-by-step explanation:
Variables:
x = smaller number
y = larger number
We can set up two equations with the information given:
5x + 3y = 62
and
y = x + 2
We get the second equation with the information that the two numbers are consecutive and both odd. therefore the smaller number is two less than the larger number, and the larger number is two greater than the smaller number.
Next, we need to replace our y in the first equation with the y in the second:
5x + 3y = 62
5x + 3 (x+2) = 62
5x + 3x + 6 = 62
8x = 56
x (smaller number) = 7
Finally, we solve for the larger number by placing it back into the second equation:
y = x + 2
y = 7 + 2
y (larger number) = 9
I hope this helps!
-TheBusinessMan
0.86= 86/100 this is because the 6 is in the hundredths place so the denominator is going to be 100<span />
Answer:
$468.75
Step-by-step explanation:
52 packages = $195
125 packages = ?
125 x (195/52)
= 125 x 3.75
= 468.75