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Roman55 [17]
3 years ago
9

3. Solve:

Mathematics
1 answer:
dsp733 years ago
8 0

Answer:

A) x=-3 y=5 z=2

Step-by-step explanation:

2x + y + z = 1

2(-3) + (5) + (2) = 1

1 = 1

x - y + 4z = 0

-3 - (5) + 4(2) = 0

0 = 0

x + 2y - 2z = 3

-3 + 2(5) -2(2) = 3

3 = 3

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The sum of two numbers is 44 and the difference is 14. What are the numbers?
Fudgin [204]

Answer:

Hope it may help u

Step-by-step explanation:

The sum of two numbers is 44 and their difference is 14. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 44. In other words, x plus y equals 44 and can be written as equation A:

x + y = 44

The difference between x and y is 14. In other words, x minus y equals 14 and can be written as equation B:

x - y = 14

Now solve equation B for x to get the revised equation B:

x - y = 14

x = 14 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 44

14 + y + y = 44

14 + 2y = 44

2y = 30

y = 15

Now we know y is 15. Which means that we can substitute y for 15 in equation A and solve for x:

x + y = 44

x + 15 = 44

X = 29

Summary: The sum of two numbers is 44 and their difference is 14. What are the two numbers? Answer: 29 and 15 as proven here:

Sum: 29 + 15 = 44

Difference: 29 - 15 = 14

6 0
3 years ago
Read 2 more answers
Persons younger than 18 years old are not eligible to vote. Let a be age in years.
Usimov [2.4K]
Younger than = less than

Less than symbol = <

People cannot have a negative age, so a must be positive

B. <span>a < 18 and a must be a positive number</span>
8 0
4 years ago
Find the value of X. 45 and 48 whats the x
Anuta_ua [19.1K]

Answer: 93

Step-by-step explanation:

I'm not sure is this is right but I think it means 45+48 which equals 93. does it say anything else?

6 0
3 years ago
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A list of numbers is given <br><br><br> 32,16,8,4,2,1<br><br> Write a rule for the pattern
Sphinxa [80]
It is subtracting the current number by 1/2    OR you can divide by 2. each time.

32 / 2= 16
16 / 2=8
8/2=4
4/2=2
2/2=1

Hope this helped!
5 0
3 years ago
Read 2 more answers
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive an
maxonik [38]

Answer:

5.0 ft-lbf

Step-by-step explanation:

The force is

F = \dfrac{9}{6^x}

This force is not a constant force. For a non-constant force, the work done, <em>W</em>, is

W = \int\limits^{x_2}_{x_1} {F(x)} \, dx

with x_1 and x_2 the initial and final displacements respectively.

From the question, x_1  =0 and x_2 = 12.

Then

W = \int\limits^{12}_0 {\dfrac{9}{6^x}} \, dx

Evaluating the indefinite integral,

\int\limits \dfrac{9}{6^x} \, dx  =9 \int\limits\!\left(\frac{1}{6}\right)^x \, dx

From the rules of integration,

\int\limits a^x\, dx = \dfrac{a^x}{\ln a}

9 \int\limits \left(\frac{1}{6}\right)^x \, dx = 9\times\dfrac{(1/6)^x}{\ln(1/6)} = -5.0229\left(\dfrac{1}{6}\right)^x

Returning the limits,

\left.-5.0229\left(\dfrac{1}{6}\right)^x\right|^{12}_0 = -5.0229(0.1667^{12} - 0.1667^0) = 5.0229 \approx 5.0 \text{ ft-lbf}

4 0
3 years ago
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