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3 years ago

10

Choose the odd one out. Give a reason for your answer. 75%. 3/4. 0.75. 7.5

2 answers:

kumpel [21]3 years ago

6 0

Answer:

7.5

Step-by-step explanation:

when implementing the joe mama constant into our quadratic formula, we can solve to find that 7.5 does not uphold when subjected to the same peen coefficient checks that all other values held true for.

kolezko [41]3 years ago

3 0

7.5 because all of the rest of them are equivalent to 75% or 0.75 or 3/4

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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

Michael: (a)(b)(c)

irinina [24]

Answer:

Ladonna: a + c + b

Step-by-step explanation:

-The commutative property in addition states that the order of arrangement of the integers to be added has no effect on their sum such that:

$x+y=y+x$

-Since the alphabet follows the order a,b, c....

Only Ladonna rearranged to change this order to show the commutative property.

-Hence, Ladonna wrote the expression correctly.

*The commutative property should not be confused with the associative property.

-The latter allows you to change the order and terms within the closed parentheses while retaining the answer.

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3 years ago

13. Reasoning In 2016, the world's oldest

defon

Answer:

five thousand, one hundred and sixty six years old.

Step-by-step explanation:

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3 years ago

How many 1/2's are in 7

Nana76 [90]

Answer:

14

Step-by-step explanation:

1/2 + 1/2 = 1

so then 2 is 4 halves

4 is 8 halves

8 is 16 halves

the number of halves is double the original number

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3 years ago

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Which does not represent the interior angle measures of a triangle

Brums [2.3K]

Answer:

D

Step-by-step explanation:

they all should equal 180

d does not

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3 years ago

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