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vichka [17]
3 years ago
5

The degree of the polynomial function f(x) is 4.

Mathematics
1 answer:
Leto [7]3 years ago
4 0

See the graph below

<h2>Explanation:</h2><h2></h2>

A polynomial function whose degree is 4 is given by the form:

f(x)=ax^4+bx^3+cx^2+dx+e \\ \\ Or: \\ \\ f(x)=a(x-x_{1})(x-x_{2})(x-x_{3})(x-x_{4}) \\ \\ \\ Where: \\ \\ x_{1},x_{2},x_{3} \ and \ x_{4} \ are \ the \ roots

Here the roots are:

x_{1}=-8 \\ \\ x_{2}=-5 \\ \\ x_{3}=1 \\ \\ x_{4}=2

If we set a=1 then:

f(x)=(x+8)(x+5)(x-1)(x-2)

Finally, by using graphing tool we get the graph of our polynomial function:

<h2>Learn more:</h2>

Parabola: brainly.com/question/10618210

#LearnWithBrainly

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Need an answer for the question
inysia [295]

Answer:

x = 8/13

Step-by-step explanation:

6 - 3x - 3/5(15x + 20) = 7(2x/7 - 2) - x

6 - 3x - 9x - 12 = 2x - 14 - x

6 - 12 + 14 = 2x - x + 3x + 9x

8 = 13x

x = 8/13

4 0
2 years ago
Suppose you would like to save P9000 invested at 8% compounded quarterly for 5 years and 6 months. (Note: Round off your answer
Sever21 [200]

Answer:

a) 13913

b) 4913.82

Step-by-step explanation:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

In this question:

Investment of 9000, so P = 9000

Interest rate of 8%, so r = 0.08

Compounded quarterly, so n = 4

5 years and 6 months, that is, 5 years and half, so t = 5.5

(a) How much would the value of her savings at the end of the term?

A(t) = P(1 + \frac{r}{n})^{nt}

A(5.5) = 9000(1 + \frac{0.08}{4})^{4*5.5} = 13913.82

(b) How much is the interest earned by your savings?

The amount subtracted by the principal. So

13913.82 - 9000 = 4913.82

5 0
2 years ago
A survey showed that out of 600 surgery patients at ABC Medical Center, 8% of them had eye surgery. Find the number of patients
N76 [4]

Answer:

48

Step-by-step explanation:

.08x600=48

8 0
3 years ago
Read 2 more answers
Proportional fraction to 1/4
Pavel [41]
A proportional fraction to 1/4

1 * 1 1
- = -
4 * 4 16

Also known as 1/16
7 0
3 years ago
What’s the domain and range of this graph?
avanturin [10]

Given:

The graph of a downward parabola.

To find:

The domain and range of the graph.

Solution:

Domain is the set of x-values or input values and range is the set of y-values or output values.

The graph represents a downward parabola and domain of a downward parabola is always the set of real numbers because they are defined for all real values of x.

Domain = R

Domain = (-∞,∞)

The maximum point of a downward parabola is the vertex. The range of the downward parabola is always the set of all real number which are less than or equal to the y-coordinate of the vertex.

From the graph it is clear that the vertex of the parabola is at point (5,-4). So, value of function cannot be greater than -4.

Range = All real numbers less than or equal to -4.

Range =  (-∞,-4]

Therefore, the domain of the graph is (-∞,∞) and the range of the graph is (-∞,-4].

3 0
2 years ago
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