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SSSSS [86.1K]
3 years ago
7

10x + 9y - 10z = -7 72 - 9y + 72 = 0 7x – 3y + 2z = 2

Mathematics
1 answer:
k0ka [10]3 years ago
5 0

Answer:

-10x + 6y + 2z = -30 10x + 2y + 8z = 18 8y + 10z = -12 4y + 5z = -6 -15x + 9y + 3z = -45 15x + 5y + 7z = 9 14y + 10z = -36 7y + 5z = -18 7y + 5z = -18 -4y - 5z = 6  8x-9y=72. 8x−9y=72 8 x - 9 y = 72. 3y - 3y x?+6x=2x-4 x²+4X=-4 x2+4x +4= 0. (x+2)(x+2) =0. X=-2 x=-2 ... 6-3x = 4x + 4. . 2=7x -. - 4-2=34+12. - ý 2=2y+12. +. 3X= 12-X.

Step-by-step explanation:

i suck at math XD

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What are the roots of the equation? x^2+24=14×
defon
\begin{gathered} x^2+24=14x \\ x^2-14x+24=0 \end{gathered}

Therefore,

\begin{gathered} x^2-14x+24=0 \\ x^2-2x-12x+24=0 \\ x(x-2)-12(x-2)=0 \\ (x-2)(x-12)=0 \\ x=2 \\ or\text{ } \\ x=12 \end{gathered}

6 0
10 months ago
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and a standard de
inna [77]

Answer:

<em>The probability of spending between 4 and 7 days in recovery</em>

<em>P(4≤x≤7) = 0.5445</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given mean of the Population μ = 5.3 days

Given standard deviation of the population 'σ' = 2 days

Let 'X' be the random variable in normal distribution

Let    x₁ = 4

Z_{1} = \frac{x_{1}-mean }{S.D} = \frac{4-5.3}{2} = -0.65

Let    x₂ = 7

Z_{2} = \frac{x_{2}-mean }{S.D} = \frac{7-5.3}{2} = 0.85

<u><em>Step(ii):-</em></u>

<u><em>The probability of spending between 4 and 7 days in recovery</em></u>

<em>P(4≤x≤7) = P(-0.65≤Z≤0.85)</em>

<em>              =  P(Z≤0.85) - P(Z≤-0.65)</em>

<em>             = 0.5 + A( 0.85) - ( 0.5 - A(-0.65) </em>

<em>             = 0.5 + A( 0.85) -  0.5 +A(0.65)   ( ∵A(-0.65) = A(0.65)</em>

<em>            =   A(0.85) + A(0.65)</em>

<em>           = 0.3023 + 0.2422</em>

<em>          = 0.5445</em>

<u><em>Final answer:</em></u><em>-</em>

<em>The probability of spending between 4 and 7 days in recovery</em>

<em>P(4≤x≤7) = 0.5445</em>

<em>            </em>

6 0
3 years ago
Suzanne wants to put a fence around her square garden. If the garden covers an area of 64 ft^2, how many feet of fencing does sh
Art [367]

Answer:

32 feet of fence

Step-by-step explanation:

The garden is a square, so the length and width are equal.

A = L x W

W = L

A = W²

A = 64

W² = 64

W = √64 = ±8 -- (-8) would be extraneous

W = 8 ft

L = 8ft

Since she is putting the fence around the garden, she needs to find the perimeter.

P = 2L + 2W

P = 2(8) + 2(8)

P = 16 + 16

P = 32 ft

32 feet of fence

8 0
3 years ago
The legs of a isosceles triangle are 0.3 foot less then twice the base . The perimeter of the triangle is 4.9 feet .
kicyunya [14]
<h2>Greetings!</h2>

Answer:

The legs are 1.9 feet long

And the base is 1.1 feet long.

Step-by-step explanation:

Firstly, you need to find the value of x.

You need to add all the sides together:

2x - 0.3 + 2x - 0.3 + x

Simplified =

5x - 0.6

And this equals 4.9:

5x - 0.6 = 4.9

Next, you need to move the -0.6 over to the other side, making sure to make it a positive:

5x = 4.9 + 0.6

5x = 5.5

Now divide each side by 5:

\frac{5x}{5} = \frac{5.5}{5}

x = 1.1


As the image is unclear of what side you are finding the length of:

2x - 0.3 = 1.9 feet long

And the base is 1.1 feet long.


<h2>Hope this helps!</h2>
4 0
3 years ago
Read 2 more answers
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NNADVOKAT [17]

Answer:

Step-by-step explanation:

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Now you add on the sales tax

Cost with Sales Tax = 1062.50 + 6.5/100 * 1063

Cost with Sales Tax = 1062.50 + 69.06

Cost with Sales Tax = 1131.56 dollars.

7 0
2 years ago
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