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2 years ago

X=-9;y=4;z=8 -7z - 8y +5z

Mathematics

1 answer:

Ket [755]2 years ago

3 0

Answer:

Question

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Solve the following equations:

9x+y−8z=0,

4x−8y+7z=0,

yz+zx+xy=47.

Easy

Solution

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Correct option is

x=±3;y=±5;z=±4

Let 9x+y−8z=0 .......(i)

4x−8y+7z=0 .......(ii)

yz+zx+xy=47 .......(iii)

Solving (i) and (ii) by cross multiplication

7−64

−32−63

−72−4

⇒

−57

−95

−76

⇒x=−57k,y=−95k,z=−76k .........(iv)

Substituting x,y and z in (iii), we get

(−95k)(−76k)+(−76k)(−57k)+(−57k)(−95k)=47

⇒16967k

=47

⇒k

16967

361

⇒k=±

Substituting k in (iv), we get

⇒x=±3,y=±5,z=±4

which is the required solution.

Step-by-step explanation:

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The promising alternative energy sources currently under development are fuel cell technology and large-scale solar energy power

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Answer:

Step-by-step explanation:

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P(energy supplied) = P(S ∪ F) -----(1)

Rewrite eqn (1)

P(energy supplied) = P(S) + P(F) - P(F) P(S) ----(2)

substitute 0.85 for P(S) and 0,7 for P(F) in eqn (2) to find the probability of energy supplied by these energy sources

P(energy supplied) = 0.85 + 0.7 - (0.7 * 0.85)

= 0.85 + 0.7 - (0.595)

= 1.55 - 0.595

= 0.955

Therefore, the probability that there will be energy supplied by these two alternative sources in the next 10 years is 0.955

B) write the probability of only one source of energy available

P(only one source of energy available) = $P(\bar F S)$ ∪ $P( \bar S F)$ ---(3)

Rewrite the equation (3)

P(only one source of energy available) =

$=P(\bar F S)+P(\bar S F)\\\\=\{[1-P(F)]P(S)+[1-P(S)]P(F)\}---(4)$

$=\{[1-0.7]0.85+[1-0.85]0.7\}\\\\=0.255+0.105\\\\=0.36$

Therefore,The probability that only one of the two alternative energy sources will be commercially viable in the next 10 years is 0.36

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2 years ago

You have a wire that is 38 cm long. you wish to cut it into two pieces. one piece will be bent into the shape of a square. the o

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Circumference + perimeter =38
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= $\frac{x^{2} }{4 \pi }$

(38-x) is perimeter
then
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( $\frac{38-x}{4}$ )^2
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3 years ago

(125-x3) X (x-5) ans pls? btw that is (x cube)

Marianna [84]

Answer:

=−x5+5x4+125x2−625x

Step-by-step explanation: