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levacccp [35]
3 years ago
10

What is the missing number placed on the blue dot. Assignment from kahan academy

Mathematics
1 answer:
Gwar [14]3 years ago
5 0

Answer:

the blue dot is at -11 value on the number line.

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...... trying to find domain, range rel max rel min end behavior inc intervals dec intervals. zeros..... I'm a mom trying to hel
Fiesta28 [93]

Answer:

The values are evaluated below.

Step-by-step explanation:

Given function is

-x^4-7x^3-12x^2

We have to find the domain, range, rel max, rel min, end behaviour, increasing or decreasing intervals and zeros of polynomial.

Domain:

The domain of a function is the set of all possible values of x for the given function.

Here domain is set of all real numbers R.

Range:

The range is the resulting y-values we get after substituting all the possible x-values.From the graph we see that

The range is -\infty

Relative maxima and minima of a function,  are the largest and smallest value of the function on an entire domain of function.

Relative max of -x^4-7x^3-12x^2 is 0 at x=0

and \frac{3}{512}(133\sqrt57-471) at x=\frac{-21}{8}-\frac{\sqrt57}{8}

Relative min is

\frac{-3}{512}(471+133\sqrt57) at x=\frac{-21}{8}+\frac{\sqrt57}{8}

From the graph we see that

End behaviour is  As \\x->\infty, f(x)->-\infty\\x->-\infty, f(x)->-\infty\\

Increasing intervals and decreasing intervals are

Increasing: \frac{1}{8}(\sqrt57-21)

Decreasing: \frac{1}{8}(-21-\sqrt57)  

Zeroes are :

-x^4-7x^3-12x^2=0

⇒ (-x^2)(x^2+7x+12)=0

⇒(-x^2)(x+3)(x+4)=0

Hence, zeroes are 0, 0, -3, -4



3 0
3 years ago
Read 2 more answers
What is 70% of 4. thank u for who ever answer
Alla [95]

Answer: 70% of 4 is 2.8

8 0
3 years ago
Can someone please give me a lesson on angles of depression and elevation?
Romashka-Z-Leto [24]

Answer:

Angles of depression and elevation

The term angle of elevation denotes the angle from the horizontal upward to an object. The term angle of depression denotes the angle from the horizontal downward to an object. ... An observer's line of sight would be below the horizontal.

Step-by-step explanation:

I hope it's help u

8 0
3 years ago
Explain the difference between a regular hexagon and an irregular hexagon?
Sati [7]
Regular hexagon = All the 6 angles are equal

Irregular hexagon =<u> At least one </u>of the angles is not the same as the rest of the angles.


8 0
3 years ago
How do you do both parts?
AnnZ [28]

Step-by-step explanation:

f(x) = 1 / (5 + x)

Divide top and bottom by 5.

f(x) = ⅕ / (1 + ⅕x)

f(x) = ⅕ / (1 − (-⅕x))

Write as a geometric series.

f(x) = ∑ₙ₌₀°° ⅕ (-⅕x)ⁿ

f(x) = ∑ₙ₌₀°° ⅕ (-1)ⁿ (⅕)ⁿ xⁿ

f(x) = ∑ₙ₌₀°° (-1)ⁿ (⅕)ⁿ⁺¹ xⁿ

Use ratio test:

lim(n→∞)│aₙ₊₁ / aₙ│< 1

lim(n→∞)│[(-1)ⁿ⁺¹ (⅕)ⁿ⁺² xⁿ⁺¹] / [(-1)ⁿ (⅕)ⁿ⁺¹ xⁿ]│< 1

lim(n→∞)│-1 (⅕) x│< 1

│x/5│< 1

│x│< 5

-5 < x < 5

If x = -5, ∑ₙ₌₀°° ⅕ (-1)ⁿ (⅕)ⁿ (-5)ⁿ = ∑ₙ₌₀°° ⅕ (1)ⁿ, which diverges.

If x = 5, ∑ₙ₌₀°° ⅕ (-1)ⁿ (⅕)ⁿ (5)ⁿ = ∑ₙ₌₀°° ⅕ (-1)ⁿ, which diverges.

The interval of convergence is therefore (-5, 5).

4 0
3 years ago
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