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3 years ago

=(x + 4)2 + 6, what is the y-intercept?

Mathematics

1 answer:

Svetradugi [14.3K]3 years ago

5 0

Answer:

Y-intercept is (0,14)

Step-by-step explanation:

(0,14)

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1) The incubation time (in days) of a canary, dove, mynah, pegion, parakeet, raven,

allochka39001 [22]

Answer:

15 minutes

35 minutes

20 minutes

Step-by-step explanation:

The first quartile is given by the starting point of the box on the plot, this point corresponds to 15 minutes

The maximum time is obtijed from the endpoint of the whisker, this corresponds to 35 minutes.

The median value corresponds to the vertical line in between the box on the plot, this point is designated as 20!minutes in the plot.

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3 years ago

Whats the answer to 19y-10=

Elodia [21]

Answer:

.526 should be the answer you are looking for.

Step-by-step explanation:

Add 10 to both sides then divide by 19.

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4 years ago

Which of the statements about the picture below are true? Check all that apply.

Nuetrik [128]

Answer:

A. F is the circumcenter of the triangle.

D. F is the point of concurrency of the angle bisectors of the angles of the triangle.

E. F is equidistant from the angles of the triangle.

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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

Order the numbers in each list from least to greatest. 0, |-14|, 13 , -12, |-16|, 17

jeka57 [31]

Here is your answer:

In order to find the answer you must first find the absolute value of each number, then order them from least to greatest.

$0 = 0$
$I-14I = 14$
$13 = 13$
$-12 = 12$
$I-16I=16$
$17 = 17$
Now least to greatest:
$-12,0,13,14,16,17$

Therefore the answer is "-12,0,13,14,16,17."

Hope this helps!

4 0

3 years ago

Read 2 more answers