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guapka [62]
3 years ago
7

3p- 2c^3- 3c^3p +2 Write as a product

Mathematics
1 answer:
astra-53 [7]3 years ago
3 0

Answer:

(3p + 2)  (1 - c)(1 + c +  {c}^{2} )

Step-by-step explanation:

3p- 2c^3- 3c^3p +2  \\  \\  = (3p - 3 {c}^{3} p) +( 2 - 2c^3) \\  \\  = 3p(1 - c^3) + 2(1 - c^3) \\  \\  = (1 - c^3)(3p + 2) \\  \\  = (1 - c)(1 + c +  {c}^{2} )(3p + 2)  \\  \\  =  \bold{ \red{(3p + 2)  (1 - c)(1 + c +  {c}^{2} )}}

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Evaluate 9-8/s when s=4
Alinara [238K]

Answer:

\frac{1}{4} = 0.25

Step-by-step explanation:

\frac{9-8}{4}

9-8 = 1

7 0
3 years ago
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Find the measurements
Elanso [62]

Answer:

angle 2=120°

angle 1=60

Step-by-step explanation:

70+50=120

or

180-(70+50)=60

angles on a straight line add up to 180°

180-60=120

3 0
2 years ago
Industry standards suggest that 8 percent of new vehicles require warranty service within the first year. Jones Nissan in Sumter
jenyasd209 [6]

Answer:

Step-by-step explanation:

Let X be the no of vehicles that require warranty service within I year out of vehicles sold (9) yesterday.

Each vehicle is independent of the other to get warranty service

Hence X is binomial with p=8% = 0.08

So P(X=x) = 9Cx (0.08)^x (1-0.08)^{9-x} ,x=0,1,2...9

a) P(X=0) = 0.472161\\b) P(x=1) = 0.3695

c) P(X=2) = 0.1285

d) Mean = Mean of binomial = np =

9(0.08) = 0.72

Var (x) = npq = 0.6624

Std dev = square root of variance = 0.8139

5 0
3 years ago
Read 2 more answers
I need graph help plz ​
Likurg_2 [28]

Answer:

Step-by-step explanation:

Part A

x-intercepts of the graph → x = 0, 6

Maximum value of the graph → f(x) = 120

Part B

Increasing in the interval → 0 ≤ x ≤ 3

Decreasing in the interval → 3 < x ≤ 6

As the price of goods increase in the interval [0, 3], profit increases.

But in the price interval of (3, 6] profit of the company decreases.

Part C

Average rate of change of a function 'f' in the interval of x = a and x = b is given by,

Average rate of change = \frac{f(b)-f(a)}{b-a}

Therefore, average rate of change of the function in the interval x = 1 and x = 3 will be,

Average rate of change = \frac{f(3)-f(1)}{3-1}

                                         = \frac{120-60}{3-1}

                                         = 30

6 0
2 years ago
Graph and solve the system <br><br> Y=-3x+3<br> Y=2x-7
guajiro [1.7K]
An equation of the form y=ax+b, where a and b are constants; y and x are variable, is called a linear equation.

They are called "linear" because if we draw all the solutions of such an equation, they form a line. 

This also means that it is enough to:
 
1. find to solutions 
2. plot them on the coordinate axis
3.join those 2 points

and all the solutions of the equation y=ax+b will be on that line.


Thus, to draw line y=-3x+3

let x=0, then y=3, so one solution is (0, 3)

let y=0, then x=1 so a second solution is (1, 0)

(remark we can pick x or y to be any value, then solve for the other)


to draw the second line y=2x-7

let x=0, then y=-7
let x=3, then y=-1


plot these points and join them as shown in the picture.


The solution of the system is the point where the lines intersect, which is
 (2, -3)


8 0
3 years ago
Read 2 more answers
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