Two triangular roofs are similar. the corresponding sides of these roofs are 16 feet and 24 feet. if the altitude of the smaller
1 answer:
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Using the Factor Theorem, the polynomials are given as follows:
1.
2.
3. P(x) = -0.1(x³ - 4x² - 3x + 18)
<h3>What is the Factor Theorem?</h3>The Factor Theorem states that a polynomial function with roots is given by:
In which a is the leading coefficient.
Item a:
The parameters are:
Hence the equation is:
P(x) = (x - 1)²x²(x + 4)
P(x) = (x² - 2x + 1)(x + 4)x²
P(x) = (x³ + 2x² - 7x + 1)x²
Item b:
The roots are:
Hence:
P(x) = a(x - 4)²x(x + 4)
P(x) = a(x² - 16)x(x - 4)
P(x) = a(x³ - 16x)(x - 4)
It passes through the point x = 5, P(x) = 36, hence:
45a = 36.
a = 4/5
a = 0.8
Hence:
Item 3:
The roots are:
Hence:
P(x) = a(x - 3)²(x + 2)
P(x) = a(x² - 6x + 9)(x + 2)
P(x) = a(x³ - 4x² - 3x + 18)
For the y-intercept, x = 0, y = -1.8, hence:
18a = -1.8 -> a = -0.1
Thus the function is:
P(x) = -0.1(x³ - 4x² - 3x + 18)
More can be learned about the Factor Theorem at brainly.com/question/24380382
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Answer: Multiplicative rate of change in housing costs, for summer term t years since Chinedu applied to his college.
Step-by-step explanation:
Given: models the housing costs, in thousands of dollars, for summer term t years since Chinedu applied to his college.
Since, the above expression is an exponential function. [ t is the exponent ]
The standard exponential function is given by :-
, A is the initial amount , b is the multiplicative rate of change with respect to time period x.
as compare to the given expression, we get b= 1.09, which is the multiplicative rate of change in the housing costs, for summer term t years since Chinedu applied to his college.
Here is your answer
B) 1/125
REASON:
Given,
for F (3)
Putting x=3, in above function we get
HOPE IT IS USEFUL
B) 1/125
REASON:
Given,
for F (3)
Putting x=3, in above function we get
HOPE IT IS USEFUL