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NikAS [45]
1 year ago
8

use any convenient method to solve the following system of equations. if the system is dependent, express the solution set in te

rms of one of the variables. leave all fractional answers in fraction form.

Mathematics
1 answer:
Rudiy271 year ago
5 0
Answer:

The system of equations has no solutions

Explanation:

Given the system of equations:

3x - 9y + 9z = 44 ..........................................................(1)

2x + 6y - 5z = -18 ..........................................................(2)

x - 3y + 3z = 14 ...............................................................(3)

Solving by elimination, multiply (3) by 2

2x - 6y + 6z = 28 ............................................................(4)

Subtract (2) from (4)

-12y + 11z = 46 .................................................................(5)

Multiply (3) by 3

3x - 9y + 9z = 42 ............................................................(6)

Subtract (6) from (1)

0x + 0y + 0z = 30

This is impossible, and we conclude that the equation has no existing solutions

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alina1380 [7]

Answer:

69

70.5

84

Step-by-step explanation:

Firstly, we need to sort this list of numbers in order to perform calculations on it.

31, 43, 47, 58, 63, 68, 69, 72, 77, 84, 84, 84, 94, 97

To find the mean we must add up and divide by the amount of numbers there are.

31 + 43 + 47 + 58 + 63 + 68 + 69 + 72 + 77 + 84 + 84 + 84 + 94 + 97 = 971\\\frac{971}{14}=69.3571429\approx 69

To find the median we must find the number in the middle of the set.

As there are two numbers in the middle positions, 69 and 72.

We must take the average of these two numbers to determine the middle.

\frac{69+72}{2}=70.5

The most is the most common number, which is 84.

6 0
3 years ago
Find the average rate of change over the given interval. f(x)=2x, [3, 5]
Sloan [31]

Answer:

The average rate of change is 2

Step-by-step explanation:

Since the equation is written in slope intercept form, the slope will always be the rate of change. The slope in this case is 2

6 0
3 years ago
A fisherman casts his bait toward the river at an angle of 25° above the horizontal. The bait and hook reach a maximum height of
weeeeeb [17]

the vertical component of the casting velocity will be reduce to zero at point h by the force of gravity.

If we use the kinematic equation

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where θ is the angle of cast above the horizon

0 = vsin25 + 2(-9.8)h

h = 0.423v / 19.6

h = 0.02156v

so the missing potential heights and the associated answer velocities are

v = 19 m/s...h = 0.410 m

v = 8.3 m/s...h = 0.179 m

v = 6.9 m/s...h = 0.149 m

v = 8.4 m/s...h = 0.181 m

choose the one that fits the question

or use the method to find the correct velocity based on the actual height reference frame.

4 0
4 years ago
ILL GIVE BRAINLIEST IF U ANSWER CORRECTLY
larisa [96]

Answer:

4

Step-by-step explanation:

hope this helps! have a nice day and mark me brailyest plzz:D

3 0
3 years ago
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