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3 years ago

Could someone help me with this? I give all my points.

Mathematics

1 answer:

Sholpan [36]3 years ago

4 0

Answer:

X =1.5(2.)

X=2.4(1.)

Step-by-step explanation:

So you can manage this problem

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Find the third degree polynomial function that has an output of 40 when x=1, and has zeros −19 and −i?

Yanka [14]

Answer:

$f(x) = (x + 19)(x^2 + 1)$

Step-by-step explanation:

Complex numbers:

The following relation is important for complex numbers:

$i^2 = -1$

Zeros of a function:

Given a polynomial f(x), this polynomial has roots $x_{1}, x_{2}, x_{n}$ such that it can be written as: $a(x - x_{1})*(x - x_{2})*...*(x-x_n)$ , in which a is the leading coefficient.

Has zeros −19 and −i

If -i is a zero, its conjugate i is also a zero. So

$f(x) = a(x - (-19))(x - (-i))(x - i) = a(x+19)(x+i)(x-i) = a(x+19)(x^2 - i^2) = a(x + 19)(x^2 + 1)$

Output of 40 when x=1

This means that when $x = 1, f(x) = 40$ . We use this to find the leading coefficient a. So

$f(x) = a(x + 19)(x^2 + 1)$

$40 = a(20)(2)$

$40a = 40$

$a = 1$

The polynomial is:

$f(x) = (x + 19)(x^2 + 1)$

3 0

3 years ago

there are 30000 lioms in africa. the number of lions in africa decreases exponentially by 2% each year. Find the number of lion

viktelen [127]

30,000-100%

2%(6)=12%

30,000/100(12)=3600

30,000-3600=26400 lion in Africa after 6 years

3 0

3 years ago

Laurie and Maya sold at most $50 worth of get-well and friendship cards. The friendship cards, x, were sold for $2 each and the

Arada [10]

Answer:

th answer i think is thirty

Step-by-step explanation:

30 + 10 = 40 and it said at most $50

tell me if i'm wrong

3 0

3 years ago

Read 2 more answers

Divide and simplify. Give your answer using positive exponent. Leave your answer in exponential notation.

yaroslaw [1]

Answer:

14⁻⁵

Step-by-step explanation:

Dividing two exponents with the same base has the effect of <em>subtracting</em> the bottom exponent from the top one. Following that rule, we can simplify our fraction like this:

$\dfrac{14^{-3}}{14^2}=14^{-3-2}=14^{-5}$