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Lina20 [59]
3 years ago
5

What is the derivative of y=(4x+1)(1-x)^3

Mathematics
1 answer:
Rudik [331]3 years ago
6 0
I am not so sure of this but I feel it would serve as hint

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HELP HELP HELP<br><br> Just 5 quick algebra 1 questions for 50 points!
riadik2000 [5.3K]

1. x = a

2. y = b

3. It has an undefined slope.

4. You can either use, rise/run or change in y / change in x.

5. Rewrite the given equation in slope-intercept form, then determine the y-intercept, b, of the line.

<h3>What is the Equation of a Line?</h3>

Equation of a line with m as slope and b as y-intercept is given as: y = mx + b.

1. Vertical lines have undefined slope. This implies that, for a given point, (a, b), the equation that models the line would be expressed as x = a, where a is the x-intercept.

Vertical line equation is: x = a.

2. Horizontal lines have 0 as a slope value, therefore, given (a, b), the equation that models the line is: y = b.

3. Equation for a vertical line cannot be written in slope-intercept form because the slope for a vertical line is undefined.

4. Using the following, rise/run or change in y / change in x, the slope (m), can be calculated given the coordinates of two points on a line.

5. To find an equation in point-slope form, e.g. y - 3 = 6(x - 4), rewrite the equation in slope-intercept form:

y - 3 = 6x - 24

y = 6x - 24 + 3

y = 6x - 21

The y-intercept, b, is: -21.

Therefore, the coordinate of the y-intercept would be: (0, -21).

Learn more about the equation of a line on:

brainly.com/question/13763238

#SPJ1

4 0
2 years ago
To become a member at a local nature preserve, applicants must pay an initiation fee of $100 plus their yearly membership dues ,
Natalija [7]

The points are (2,150), (4,200).

The slope of the line joining the points is,

\begin{gathered} m=\frac{200-150}{4-2} \\ =25 \end{gathered}

Thus, the slope represents the increse in cost per year of membership.

5 0
1 year ago
Geometry- The base of a triangle is sqrt 18 cm and it’s height is sqrt 8 cm find it’s area.
inn [45]

Answer:

72 Centimeters

Explanation:

Formula for area: 1 /2 b · h

b = Base (18 cm.)

h = height (8 cm.)

1 / 2 Base: 9

height: 8

9 · 8 = 72

Therefore the area of the triangle is 72 centimeters

6 0
3 years ago
Which expression is equivalent to (x Superscript 27 Baseline y) Superscript one-third?
Kay [80]

Answer:

um i cannot understand that ok ?

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
21 POINTS!! Thank you so much!! There’s also things on my page worth lots points points as well! So if you could help with those
Art [367]

Answer:

Second one

third one

fifth one

last one

Step-by-step explanation:

Based on the x intercepts we can write

a(x+1)(x-5)

where a is some constant

solve for a by plugging in some coordinates

let's plug in (1,-8)

-8=a(1+1)(1-5)

-8= -8a

a=1

therefore the quadratic is (x+1)(x-5)

expand this

x²-4x-5

To find out where something is decreasing/increasing it's easiest to take the first derivative

x²-4x-5= 2x-4

set this equal to 0

2x-4=0

2x=4

x=2

Which means that our two intervals are

(-∞,2)U(2,∞)

plug in any values in the intervals to see whether or not the function is increasing/decreation

Let's plug in 0 for (-∞,2)

2(0)-4

-4

It's negative so it's decreasing on this interval

DO the same thing with the other one

let's plug in x=3

2(3)-4

2

this is positive so it's increasing on this interval

Go back to the critical value of x=2 and plug this into the equation to find the max/min

(2+1)(x-5)= -9

This is a minimum because the cofeccient for the degree is positive

For the limit one notice that we have a positive, even degree which means the end behavior is positive, positive

what this means is as x approaches negative infinity it's infinity

and as x approaches infinity it's infinity

6 0
2 years ago
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