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dangina [55]
3 years ago
7

40 points for this question! Algebra 2. With all explanation, please!

Mathematics
1 answer:
const2013 [10]3 years ago
3 0
You will need three roots for this, so we have
 Let x = -30, -10 and +20
So the factors will be  (x+30)(x+10)(x-20)
The divide it to 100, this will help bring the peak up and down
So the polynomial function R(x) will become
1/100 *  (x+30)(x+10)(x-20)
R(x) = 1/100 * (x+30)(x+10)(x-20)
 
Finding the X-intercept:
Let R(x) = 0 and solve for x.
1/100 * (x+30)(x+10)(x-20) = 0
x = -30, -10, 20 are the x-intercepts.

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A large data sample of heights of US women is normally distributed with a mean height of 64.7 inches and a standard deviation of
mariarad [96]

Answer:0.16

Step-by-step explanation:

7 0
3 years ago
What is the point-slope form of a line with slope -5 that contains the point<br> a<br> (2,-1)?
gulaghasi [49]

The point-slope form the line which has the value of slope -5 and contains a point as A(2,-1) is (y+1)=-5(x-2).

<h3>What is point slope form?</h3>

The point slope  form of a line is the expression of line which has a specified slope and passes through a point.

The point slope form is givne as,

(y-y₁)=m(x-x₁)

Here, m is the slope of the line, x₁ is the x coordinate of the point by which line passes and y₁ is the y coordinate of the same point.

The slope of a line is -5. This line contains the point A (2,-1). Thus, the point slope form is,

(y-y₁)=m(x-x₁)

(y-(-1))=-5(x-2)

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

Thus, the point-slope form the line which has the value of slope -5 and contains a point as A(2,-1) is (y+1)=-5(x-2).

Learn more about the point slope form here;

brainly.com/question/6497976

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8 0
1 year ago
EXAMPLE 5 Find the maximum value of the function f(x, y, z) = x + 2y + 9z on the curve of intersection of the plane x − y + z =
geniusboy [140]

The Lagrangian,

L(x,y,z,\lambda,\mu)=x+2y+9z-\lambda(x-y+z-1)-\mu(x^2+y^2-1)

has critical points where its partial derivatives vanish:

L_x=1-\lambda-2\mu x=0

L_y=2+\lambda-2\mu y=0

L_z=9-\lambda=0

L_\lambda=x-y+z-1=0

L_\mu=x^2+y^2-1=0

L_z=0 tells us \lambda=9, so that

L_x=0\implies-8-2\mu x=0\implies x=-\dfrac4\mu

L_y=0\implies11-2\mu y=0\implies y=\dfrac{11}{2\mu}

Then with L_\mu=0, we get

x^2+y^2=\dfrac{16}{\mu^2}+\dfrac{121}{4\mu^2}=1\implies\mu=\pm\dfrac{\sqrt{185}}2

and L_\lambda=0 tells us

x-y+z=-\dfrac4\mu-\dfrac{11}{2\mu}+z=1\implies z=1+\dfrac{19}{2\mu}

Then there are two critical points, \left(\pm\frac8{\sqrt{185}},\mp\frac{11}{\sqrt{185}},1\pm\frac{19}{\sqrt{185}}\right). The critical point with the negative x-coordinates gives the maximum value, 9+\sqrt{185}.

8 0
3 years ago
The probability of a customer arrival at a grocery service counter in any one second is equal to 0.3. Assume that customers arri
Svetllana [295]

Answer:

Step-by-step explanation:

Given that the probability of a customer arrival at a grocery service counter in any one second is equal to 0.3

Assume that customers arrive in a random stream, so an arrival in any one second is independent of all others.

i.e. X the no of customers arriving is binomial with p = 0.3 and q = 1-0.3 =0.7

a) the probability that the first arrival will occur during the third one-second interval.

= Prob that customer did not arrive in first 2 seconds * prob customer arrive in 3rd sec

= 0.7^2 (0.3)\\= 0.147

b)  the probability that the first arrival will not occur until at least the third one-second interval.

Prob that customer did not arrive in first two seconds *(Prob customer arrives in 3rd or 4th or 5th.....)

=(0.7^2)[0.3+0.7*0.3+0.7^2*0.3+....)\\

The term inside bracket is a geometric infinite progression with common ratio - 0.7 <1

Hence the series converges

Prob =0.7^2 *\frac{0.3}{1-0.7} \\=0.49

5 0
3 years ago
In triangle DEF, CG = (x + 5) units and DG = (3x - 2) units.
Snowcat [4.5K]

Answer:

34 units

Step-by-step explanation:

did test on edge

6 0
3 years ago
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