Answer:
-3
Step-by-step explanation:
1. subtract 0.3 from both sides
2. add 3.7x to both sides
3. Divide both sides by -0.5
A.
the area of a polygon is/
A= perimeter X apothem /2
A=500
apothem = 10
500 = (P * 10)/2
P =100
B. 100*7.95 = $795
C.
60*100= 6,000
6,000 * $7.95=
<span>$47,520</span>
The denominator( s ) we are given are 
, and . The first thing we want to do is factor the expressions, to make this easier -
This expression is a perfect square, as ( x )^2 = x^2, ( 2 )^2 = 4, 2 * ( x ) * ( 2 ) = 4x. Thus, the simplified expression should be the following -
The other expression is, on the other hand, not a perfect square so we must break this expression into groups and attempt factorization -
Combining ( x + 2 )^2 and ( x + 2 )( x + 3 ), the expression that contains factors of each is ( x + 2 )^2 * ( x + 3 ), or in other words the LCM.
<u><em>Solution = </em></u>
<u><em /></u>
Insert x + 3 instead of x into the equation of the function f(x):
f(x) = 3 - 6x²
f(x + 3) = 3 - 6(x + 3)²
use (a + b)² = a² + 2ab + b²
= 3 - 6(x² + 2(x)(3) + 3²) = 3 - 6(x² + 6x + 9)
use distributive property
= 3 + (-6)(x²) + (-6)(6x) + (-6)(9) = 3 - 6x² - 36x - 54
combine like terms
= -6x² - 36x - 51
<h3>Answer: f(x + 3) = -6x² - 36x - 51</h3>
Answer:
d. (9, 0)
Step-by-step explanation:
(x, y) so...
Where the line crosses the x-plane, x = 9
Since this is the x-intercept y will always equal zero
Therfore x-int = (9, 0)
