Answer:
X=9
Step-by-step explanation:
6/8=3/4
x/12=3/4
x=9
Answer:

Step-by-step explanation:
First off, your drawing is kinda inaccurate, because the
looks like a right angle, but as you drew it yourself it doesn't matter too much.
We know that the sum of the angles of a triangle will always equal
, so we have that
.
Combining like terms on the left side gives
.
Subtracting
from both sides gives
.
So,
and we're done!
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
The price p, in dollars, of a specific car that is x year old is modeled by the function p(x)=22,255(0.91)^x
a) to determine the cost of a 2 year old car, we will substitute 2 for x in the given function. Therefore
p(2)=22,255(0.91)^2
p(2)=22,255 × 0.8281 = $18673.655
Approximately $18674
b) to determine the cost of a 7 year old car, we will substitute 7 for x in the given function. Therefore
p(7)=22,255(0.91)^7
p(2)=22,255 × 0.51676101936 = 11500.51648579693
Approximately $11501
c) 0.91 indicates exponential decay rate. It is a fixed percentage by which the value of the car decreases every year. It is determined by (1 - rate of decay)
Answer:
$160 hourly rate
Step-by-step explanation:
20 x 5 = 100
900 - 100 = 800
800 ÷ 5 = 160
To check: Multiply 160 by 5 and then add 100
The function is

1. let's factorize the expression

:

the zeros of f(x) are the values of x which make f(x) = 0.
from the factorized form of the function, we see that the roots are:
-3, multiplicity 1
3, multiplicity 1
0, multiplicity 3
(the multiplicity of the roots is the power of each factor of f(x) )
2.
The end behavior of f(x), whose term of largest degree is

, is the same as the end behavior of

, which has a well known graph. Check the picture attached.
(similarly the end behavior of an even degree polynomial, could be compared to the end behavior of

)
so, like the graph of

, the graph of

:
"As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity. "