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2 years ago

F(x)=1/2(x-2)(x+3)^3

Mathematics

1 answer:

KatRina [158]2 years ago

5 0

Answer:y=

x4+

x3+

x2+

−27

x−27

Step-by-step explanation:

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What is the exact value of tan(-π/3)? A. -√3 B. -√3/3 C.√3/3 D. √3

Dimas [21]

$\tan \left(-\dfrac{\pi}3\right)\\\\=-\tan \left(\dfrac{\pi}3\right)\\\\=-\sqrt 3$

5 0

2 years ago

3. A line goes through the points (3,4) and (-3,6).

Galina-37 [17]

Answer:

Part a) The slope is $m=-\frac{1}{3}$

Part b) The equation in point slope form is $y-4=-\frac{1}{3}(x-3)$

Part c) The equation in slope-intercept form is $y=-\frac{1}{3}x+5$

Step-by-step explanation:

we have the points (3,4) and (-3,6)

Part a) What is the slope of the line?

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the given points

$m=\frac{6-4}{-3-3}$

$m=\frac{2}{-6}$

$m=-\frac{1}{3}$

Part b) Write the equation of the line in point-slope form

$y-y1=m(x-x1)$

we have

$m=-\frac{1}{3}$

$point\ (3,4)$

substitute

$y-4=-\frac{1}{3}(x-3)$ ---> equation in point slope form

Part c) Write the equation of the line in slope-intercept form

$y=mx+b$

we have

$y-4=-\frac{1}{3}(x-3)$

Isolate the variable y

distribute right side

$y-4=-\frac{1}{3}x+1$

Adds 4 both sides

$y=-\frac{1}{3}x+1+4$

$y=-\frac{1}{3}x+5$ ---> equation in slope intercept form

7 0

3 years ago

A phone company offers two monthly plans. Plan A costs

Rus_ich [418]

For plan A it will only take five minutes to amount to $20.50

Plan B will need 30 min to cost the same as plan A $20.50

3 0

3 years ago

Read 2 more answers

Three students were given the expression shown to simplify.

koban [17]

2-21x+28
-21x +3
Hope it helps

6 0

3 years ago

Determine the quotient and the remainder in the division (4x^4 - 1 ) ÷ x + 1

EastWind [94]

(4x^4-1)÷x+1

(256x-1)÷x+1

256-1+1

256

The first step shows the problem

The second step powers 4x 4 times

The third step removes x

The 4th step shows the problem after x is removed.

The 5th step is the answer: 256

7 0

3 years ago