F(x) = 3x^32 + 8x^2 -22x +43
The ends of all the polynomials with even degree behave like quadratic functions.
Given the the coefficient of x^32 is positive, the function opens upwards. Then the two ends go up.
f(x) = (x + 5)(x - 1)
using the ' factor theorem '
given x = a is the root of a polynomial then (x - a ) is a factor
here roots are x = - 5 and x = 1 hence factors are (x + 5) and (x - 1)
the polynomial is the product of the factors
f(x) = (x + 5)(x - 1)
Answer:
Step-by-step explanation:
Given
Required
Determine the coordinate of the partition
This is calculated using:
Substitute values for m,n,x's and y's
Answer:
d) $8,100
Step-by-step explanation:
Given information:
- Money triples every 10 years
- Initial deposit = $100
- Number of years invested = 40 years
If the money triples (multiplies by 3) every 10 years,
then in 40 years time it will triple <u>4 times</u>, as 40 ÷ 10 = 4
⇒ Account balance after 40 years = $100 × 3 × 3 × 3 × 3
= $100 × 3⁴
= $8,100
<u>Proof</u>
In 10 years time the balance of the account will be:
$100 x 3 = $300
In another 10 years time, the balance of the account will be:
$300 x 3 = $900
In another 10 years time, the balance of the account will be:
$900 x 3 = $2700
In another 10 years time, the balance of the account will be:
$2700 x 3 = $8100
<h2>
Answer:</h2>
<h2>
Step-by-step explanation:</h2>
To solve this problem, we need to start with the parent function of the exponential function, which is 
, where 
is the base. In our problem, 
, so our parent function here is 
. Then, we need to perform some transformations to our parent function. Thus:
1. Vertical shrink:
A vertical shrink is a nonrigid transformation because the graph of the function get a distortion in the shape, so this transformation is as follows:
where 
in this problem equals 0.25 because:
2. Vertical shift:
The graph of the function 
get a vertical shift given by:
So the graph is shifted 3 units up. So the result is the graph shown above.
