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Ray Of Light [21]
3 years ago
9

3x+4y+z=-2 2y+3z=-8 z=-3

Mathematics
2 answers:
Naya [18.7K]3 years ago
7 0

Answer:

y = 1/2

x = -1 / 3

z = -3

Step-by-step explanation:

In this question, in order to find "y" and "x", we do the following...

Since we know z = -3 we can find "y" by substituting z in the second equation.

2y + 3z = -8

2y + 3(-3) = -8

2y - 9 = -8

2y = 1

y = 1/2

Now we know "y" and "z" and so we can find x...

3x + 4y + z = -2

3x + 4(1/2) - 3 = -2

3x + 2 - 3 = -2

3x = -1

x = -1 / 3

masya89 [10]3 years ago
3 0

Answer:

z=-3 so 2y+3(-3)=-8, 2y-9=-8, add 9 to both sides 2y=1 divide both sides by 2, y=1/2, so 3x+4(1/2)+-3=-2, 3x+2-3=-2, 3x-1=-2, add 1 to both sides, 3x=-1, divide both sides by 3, x=-1/3

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Anton [14]

Answer:

Step-by-step explanation:

If you're talking about a square, then the area would be 40.

If you're talking about a triangle, then the area would be 20.

8 0
3 years ago
Suppose the mean height for adult males in the U.S. is about 70 inches and the standard deviation is about 3 inches. Assume men’
nlexa [21]

Question options :

a. They should be between 64 and 76 inches tall.

b. They should be close to the height that is 95% of the mean. That is, 66.5 inches, plus or minus 2 standard deviations.

c. They should be at or below the 95th percentile, which is 74.92 inches.

d. None of the above.

Answer: a. They should be between 64 and 76 inches tall.

Step-by-step explanation:

Given the following :

Assume men's height follow a normal curve ; and :

Mean height = 70 inches

Standard deviation= 3 inches

According to the empirical rule ;

Assuming a normal distribution with x being random variables ;

About 68% of x-values lie between -1 to 1 standard deviation of the mean. With about 95% of the x values lying between - 2 and +2 standard deviation of mean. With 99.7% falling between - 3 to 3 standard deviations from the mean.

Using the empirical rule :

95% will fall between + or - 2 standard deviation of the mean.

Lower limit = - 2(3) = - 6

Upper limit = 2(3) = 6

(-6+mean) and (+6+ mean)

(-6 + 70) and (6+70)

64 and 76

8 0
3 years ago
Can u please help me :(
xeze [42]
Control = group with no music / maybe no variable?
Manipulated/independent variable = Number of tomatoes being grown
Dependent/responding = Number of tomatoes produced by each plant

Conclusion  = Use four parts... Was your hypothesis correct or not and why...Cite numbers/evidence from experiment.... Were the results reliable?.... any improvements to be made
7 0
3 years ago
Read 2 more answers
LAST QUSTION OF THE NIGHT!!!!!<br> HELP SHOW WORK PLZ AND THANK YOU!!!
MissTica
Okay, so, to find out if an equation has one solution, an infinite number of solutions, or no solutions, we must first solve the equation:

(a) 6x + 4x - 6 = 24 + 9x

First, combine the like-terms on both sides of the equal sign:

10x - 6 = 24 + 9x

Now, we need to get the numbers with the variable 'x,' on the same side, by subtracting, in this case:

10x - 6 = 24 + 9x
-9x. -9x
______________
X - 6 = 24

Now, we do the opposite of subtraction, and add 6 to both sides:

X - 6 = 24
+6 +6
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X = 30

So, this particular equation has one solution.

(a). One solution
_____________________________________________________

(b) 25 - 4x = 15 - 3x + 10 - x

Okay, so again, we combine the like-terms, on the same side of the equal sign:

25 - 4x = 25 - 2x

Now, we get the 2 numbers with the variable 'x,' to the same side of the equal sign:

25 - 4x = 25 - 2x
+ 2x + 2x
________________
25 - 2x = 25

Next, we do the opposite of addition, and, subtract 25 on each side:

25 - 2x = 25
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-2x = 0

Finally, because we can't divide 0 by -2, this tells us that this has an infinite number of solutions.

(b) An infinite number of solutions.

__________________________________________________

(c) 4x + 8 = 2x + 7 + 2x - 20

Again, we combine the like-terms, on the same side as the equal sign:

4x + 8 = 4x - 13

Now, we get the 'x' variables on the same side, again, and, we do that by doing the opposite of addition, which, is subtraction:

4x + 8 = 4x - 13
-4x -4x
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8 = -13

Finally, because there is no longer an 'x' or variable, we know that this equation has no solution.

(c) No Solution
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I hope this helps!
4 0
3 years ago
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antiseptic1488 [7]

Answer:

The principal amount is 5000 dollars = 3, 70,000 rupees (5000 dollars x 74 Rupees)

Rate = 2.5%

Time = 1 year

Now, on putting the values given in the formula

S.I.= 9,250 Rupees

Now we convert it into dollars by diving 9,250 rupees by 74 rupees.

We get,

9250/74 = 125 dollars

Step-by-step explanation:

3 0
2 years ago
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