Use Descartes rule to determine the possible number of positive and negative solutions for the polynomial: f(x)=10x^4-21x^2+11

Mathematics

1 answer:

galina1969 [7]2 years ago

3 0

Answer:

x = 11/2

Step-by-step explanation:

just go by each step

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What is the exact solution of cos (17pi/6)?

kolbaska11 [484]

The exact solution of cos (17π/6) is as follows:

First change the angle into degrees.

17(π/6) (180°/π) = 510°

Then we calculate the cosine of the angle above and it as follows:

cos 510° = -(√3)/2

Hope this answers the question. Have a nice day.

4 0

3 years ago

Plz help if you can Thank ya

koban [17]

Answer:

$90\pi$

Step-by-step explanation:

The first step is to find the slant height of the cone. Using the pythagorean theorem, you can find that $\sqrt{12^2+5^2}=13$ cm. Plugging this into the equation, you get $\pi \cdot 5 \cdot 13=90\pi$ . Hope this helps!

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3 years ago

Harmonic mean if a number h such that (h-a)/(b-h)=a/b Prove h is H(a,b) iff satisfies either relation a. (1/a)-(1/h) = (1/h) - (

Fudgin [204]

A.

$\displaystyle\frac1a-\frac1h=\frac1h-\frac1b$
$\implies\displaystyle\frac{h-a}{ah}=\frac{b-h}{bh}$
$\implies\displaystyle\frac{h-a}{b-h}=\frac{ah}{bh}$
$\implies\displaystyle\frac{h-a}{b-h}=\frac ab$

b.

$\displaystyle h=\frac{2ab}{a+b}$
$\displaystyle\implies\frac{h-a}{b-h}=\frac{\frac{2ab}{a+b}-a}{b-\frac{2ab}{a+b}}$
$\displaystyle\implies\frac{h-a}{b-h}=\frac{2ab-a(a+b)}{b(a+b)-2ab}$
$\displaystyle\implies\frac{h-a}{b-h}=\frac{ab-a^2}{b^2-ab}$
$\displaystyle\implies\frac{h-a}{b-h}=\frac{a(b-a)}{b(b-a)}$
$\displaystyle\implies\frac{h-a}{b-h}=\frac ab$

The other direction can be proved by following the manipulations in the reverse order.

7 0

3 years ago

Suppose the y-intercept of an exponential function is positive and the common ratio (r) is greater than 1. For this graph, as x

Anna11 [10]

Answer:

Increase (A)

Step-by-step explanation:

If the common ratio is greater than 1, that means the y-value increases as the x-value increases.

If the common ratio is 1, that means the y-value stays the same as the x-value increases.

If the common ratio is between 0 and 1, that means the y-value decreases and approaches 0 ad the x-value increases.

Because the common ratio is greater than 1, the answer is A, increases

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