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3 years ago

Determine the equation with the given graph.

Mathematics

1 answer:

Cloud [144]3 years ago

7 0

Answer: C

Step-by-step explanation:

I used a graphing calculator to find the answer to your problem.

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Please answer will mark as brainliest

Aleksandr-060686 [28]

Answer:

ANSWER

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Find the polynomial of minimum degree, with real coefficients, zeros at x=4±2⋅i and x=−8, and y-intercept at −480. Write your an

valkas [14]

Answer:

The polynomial of minimum degree is $p(x) = x^{4}-3\cdot x^{3}-44\cdot x^{2}+292\cdot x-480$ .

Step-by-step explanation:

According to the statement, we appreciate that polynomial pass through the following points:

(i) $(4 + 2\,i,0)$ , (ii) $(4 - 2\,i, 0)$ , (iii) $(-8, 0)$ , (iv) $(0, -480)$

From Algebra we know that any n-th grade polynomial can be constructed by knowing n+1 different points. Hence, the polynomial of minimum degree is a quartic function. The polynomial has the following form:

$p(x) = (x-4-2\,i)\cdot (x-4+2\,i)\cdot (x+8)\cdot (x-r_{1})$

We proceed to expand the expression until standard form is obtained:

$p(x) = (x^{2}-4\cdot x-2\,i\cdot x-4\cdot x +16+8\,i+2\,i\cdot x-8\,i+4)\cdot (x+8)\cdot (x-r_{1})$

$p(x) = (x^{2}-8\cdot x+20)\cdot (x+8)\cdot (x-r_{1})$

$p(x) = (x^{3}-8\cdot x^{2}+20\cdot x +8\cdot x^{2}-64\cdot x+160)\cdot (x-r_{1})$

$p(x) = (x^{3}-44\cdot x +160)\cdot (x-r_{1})$

If we know that $p (0) = -480$ , then:

$-480=160\cdot (-r_{1})$

$-160\cdot r_{1} = -480$

$r_{1} = 3$

Then, the polynomial is:

$p(x) = (x^{3}-44\cdot x +160)\cdot (x-3)$

$p(x) = x^{4}-44\cdot x^{2}+160\cdot x-3\cdot x^{3}+132\cdot x -480$

$p(x) = x^{4}-3\cdot x^{3}-44\cdot x^{2}+292\cdot x-480$

The polynomial of minimum degree is $p(x) = x^{4}-3\cdot x^{3}-44\cdot x^{2}+292\cdot x-480$ .

5 0

3 years ago

ANSWER ASAP!!! PLEASE!!! 10 POINTS XD

sergiy2304 [10]

The sign is negative because a negative times a positive is a negative. Anytime the signs are different the answer is always negative.

3 0

4 years ago

Read 2 more answers

Please help me with this

hodyreva [135]

Answer:

1.) The quotient of a number and 2 = x ÷ 2

2.) A number decreased by 2 = x - 2

3.) 2 times a number = 2x

4.) 2 increased by a number = 2 + x

Step-by-step explanation:

Let's look for key words hidden in these sentences:

1.) The quotient of a number and 2 = The word quotient refers to division

2.) A number decreased by 2 = The word decreased refers to subtraction

3.) 2 times a number = the word times refers to multiplication

4.) 2 increased by a number = the word increased refers to addition

Hope this helps!

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3 years ago

Is 73 a prime number

lora16 [44]

Hi there,

73 indeed a prime number

A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number!

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4 years ago