3x - y + z = 5 . . . (1)
x + 3y + 3z = -6 . . . (2)
x + 4y - 2z = 12 . . . (3)
From (2), x = -6 - 3y - 3z . . . (4)
Substituting for x in (1) and (3) gives
3(-6 - 3y - 3z) - y + z = 5 => -18 - 9y - 9z - y + z = 5 => -10y - 8z = 23 . . (5)
-6 - 3y - 3z + 4y - 2z = 12 => y - 5z = 18 . . . (6)
(6) x 10 => 10y - 50z = 180 . . . (7)
(5) + (7) => -58z = 203
z = 203/-58 = -3.5
From (6), y - 5(-3.5) = 18 => y = 18 - 17.5 = 0.5
From (4), x = -6 - 3(0.5) - 3(-3.5) = -6 - 1.5 + 10.5 = 3
x = 3, y = 0.5, z = -3.5
Answer:
3 games
Step-by-step explanation:
The computation of the maximum number of games that he could buy is shown below:
= Amount available - already spent
= $75 - $28
= $47
If each game cost $15
So, the maximum no of games is
= $47 ÷ $15
= 3.133
= 3 games
The x-value at the point, denoted by d, is 18
<h3>Slope of a line </h3>
From the question, we are to determine the x-value at point B on the line
Given the points (x₁, y₁) and (x₂, y₂) on a line.
The slope, m, of a line with two points (x₁, y₁) and (x₂, y₂) on the line is given by the formula
m = (y₂ - y₁)/(x₂ - x₁)
From the given information,
Point A is (2, 1)
Point B is (d, 81)
That is,
x₁ = 2
y₁ = 1
x₂ = d
y₂ = 81
and
slope, m = 5
Thus,
5 = (81 - 1) / (d - 2)
5 = 80/(d -2)
5(d - 2) = 80
5d - 10 = 80
5d = 80 + 10
5d = 90
d = 90/5
d = 18
Hence, the x-value at the point, denoted by d, is 18
Learn more on Slope of a Line here: brainly.com/question/19012287
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Hey!
Hope this helps...
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This really depends on what the question asks, because if you substitute 0 for x, the equation comes to 0 > 0 (which is a logical error), if you substitute 1 for x, the equation comes to 0 > -5 (which is the correct answer). If you substitute -28 for x, you get 0 > 28 (and we know 28 will always be greater than 0, but 0 will never be greater than any positive number), this is the same if you were to substitute -36 for x, you get 0 > 36
So the correct answer is D.) x > 1
because you get 0 > -5 (when you plug in 1 for x), and 0 will always be greater than any given negative number...
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One more thing, this question is asking you to MAKE IT TRUE, IF it said 0 ≥ -3x - 2x... THAN A, B, and C would be correct, OR IF it said 0 ≤ -3x - 2x... THAN B and D would be correct, BUT because it only says 0 > -3x - 2x... THAN ONLY D is correct...
With a simple change of signs, you can dramatically change the answer to this equation
Answer: 33.33 megabytes per day
Step-by-step explanation:
From the question, we are informed that in June, Clarissa used 1 gigabytes of data on her cell phone. Since June has 30 days, the amount of data she uses on average per day? will be:
= 1000megabyte/30
= 33.33mb
Note that:
1000 megabytes = 1 gigabyte