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Anton [14]
3 years ago
14

Solve the equation 4s2+32s=60 by completing the square

Mathematics
1 answer:
lord [1]3 years ago
7 0

Answer:

s = -4 ± √31

Step-by-step explanation:

Given 4s^{2} + 32s = 60

divide by 4 throughout

s^{2}  + 8s = 15\\s^{2} + 8s + (\frac{8}{2}) ^{2}  = 15 + (\frac{8}{2}) ^{2}

 (s + 4)^{2}  = 31\\s + 4 = \sqrt{31}

s = -4 ± √31

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The weights of steers in a herd are distributed normally. The variance is 40,00040,000 and the mean steer weight is 1400lbs1400
Alex777 [14]

Answer:

P(1739

(Correct to 4 decimal places)

Step-by-step explanation:

The probability of a continuous normal variable X found in a particular interval [a, b] is the area under the curve bounded by x=a and x=b and is given by:

P(a

where

f(X)=\frac{1}{\sigma \sqrt{2 \pi} }e^{-\frac{1}{2} (\frac{x-u}{ \sigma} )^2}



f(X)=\frac{1}{200 \sqrt{2 \pi} }e^{-\frac{1}{2} (\frac{x-1400}{ 200} )^2}\\=\frac{1}{200 \sqrt{2 \pi} }e^{- \frac{(x-1400)^2}{ 80000}\\

P(1739

P(1739

Using a calculator,

P(1739

5 0
3 years ago
Read 2 more answers
Aileen drives 208 miles in 4 hours. What is her speed in miles per hour? (label with "miles per hour")
77julia77 [94]

<u>Answer:</u>

52 miles per hour (mph)

<u>Step-by-step explanation:</u>

208 miles ÷ 4 hours = 52 miles per hour (mph)

<em>Hopefully this helps! Sorry if wrong. You are loved and you are beautiful/handsome!</em>

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7 0
3 years ago
Last question! Please show work. Really need to get this done in 1 hour
Sav [38]

Answer:

x=1; y=2; z=3

Step-by-step explanation:

Rearrange for convince:

2y-4z+6x = -2

-4y+2z-3x=-5

-6y+3z+4x=1

Now we take to pairs and eliminate the same var.:

2y-4z+6x = -2 *2

-4y+2z-3x=-5

and

-4y+2z-3x=-5 *-3

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We get:

4y-8z+12y=-4

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= -6z+9x=-9

and

12y-6x+9x=15

-12y+6x+8x=2

= 17x=17

We now know x = 1, so z is:

-6z+9=-9

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z=3

Let’s grab the first formula and find y:

6+2y-12=-2

6+2y=10

2y=4

y = 2

7 0
2 years ago
How can all the solutions to an equation in two variables be represented?
OLga [1]

How do linear, quadratic, and exponential functions compare?

Answer:

How can all the solutions to an equation in two variables be represented?

<u><em>The solution to a system of linear equations in two variables is any ordered pair x,y which satisfies each equation independently. U can Graph, solutions are points at which the lines intersect.</em></u>

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<u><em>How can all the solutions to an equation in two variables be represented?</em></u>

<u><em>you can solve it by Iterative method and Newton Raphson's method.</em></u>

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<u><em>How are solutions to a system of nonlinear equations found? </em></u>

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<u><em> </em></u>

<u><em>How can solutions to a system of nonlinear equations be approximated? U can find the solutions to a system of nonlinear equations by finding the points of intersection. The points of intersection give us an x value and a y value. Using the example system of nonlinear equations, let's look at how u can find approximate solutions.</em></u>

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2 years ago
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yaroslaw [1]
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5 0
3 years ago
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