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3 years ago

The number of positive resl rootd for the expression for -3x³+8x²-7x+10=0 is less than or equal to

Mathematics

1 answer:

Damm [24]3 years ago

5 0

Step-by-step explanation:

By Descartes' Rule of Signs, f(x) = -3x³ + 8x² - 7x + 10 changes sign 3 times, so there are 1 or 3 positive roots.

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Find the inverse of the function: y=log₂(-4x)

Vlad1618 [11]

Answer:

-2^(x-2)

Step-by-step explanation:

Using differential calculus:

We know that the integral of 1/x = ln(x)

or 2x/ln(2) = log2(x), so we plug in our knowledge and chain rule to figure out that the answer to the inverse is -2^(x-2) :)

5 0

3 years ago

Solve: 2cos(x)-square root 3=0 for 0 less than x less than 2 pi

Leona [35]

Answer:

The general solution of $cos x = cos(\frac{\pi }{6})$ is

x = 2nπ± $\frac{\pi }{6}$

The general solution values

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

Step-by-step explanation:

Explanation:-

Given equation is

$2cosx-\sqrt{3} =0 for 0$

$2cosx =\sqrt{3}$

Dividing '2' on both sides, we get

$cos x =\frac{\sqrt{3} }{2}$

$cos x = cos(\frac{\pi }{6})$

General solution of cos θ = cos ∝ is θ = 2nπ±∝

Now The general solution of $cos x = cos(\frac{\pi }{6})$ is

x = 2nπ± $\frac{\pi }{6}$

put n=0

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

Put n=1

$x = 2\pi +\frac{\pi }{6} = \frac{13\pi }{6}$

$x = 2\pi -\frac{\pi }{6} = \frac{11\pi }{6}$

put n=2

$x = 4\pi +\frac{\pi }{6} = \frac{25\pi }{6}$

$x = 4\pi -\frac{\pi }{6} = \frac{23\pi }{6}$

And so on

But given 0 < x< 2π

The general solution values

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

6 0

3 years ago

Write in point-slope form, slope-intercept form, and standard form an equation that passes through (-1,2) with slope 4.

N76 [4]

point slope form:y-2=4(x+1)

then distribute 4 and simplify y-2=4x+4 , y=4x+6 is the slope -y intercept form

then, move 4x on the left side, you get -4x+y=6 , multiply every term by -1, you get 4x-y=-6 which is standard form.

4 0

3 years ago

Please need help on this

Trava [24]

Answer:

The perimeter of a shape is the sum of the measurements of all sides. Since a rectangle have equal lengths and widths, you can just add the numbers twice.

So, 15 + 15 + 8 + 8. So the perimeter is 46 cm.

7 0

3 years ago

Read 2 more answers

The function g(x)=-5x-6

BaLLatris [955]

Answer:

D. the slope of f(x) is greater than the slope of g(x)

Step-by-step explanation:

slope of f(x) =rise/run

=y2 -y1 / x2 -x1

slope of f(x)= -1-2/1-0= -3

g(x)= -5x-6

slope of g(x)= -5

-3>-5

D. the slope og f(x) is greater than the slope of g(x)

4 0

3 years ago

The number of positive resl rootd for the expression for -3x³+8x²-7x+10=0 is less than or equal to​

The number of positive resl rootd for the expression for -3x³+8x²-7x+10=0 is less than or equal to