Answer:
<h2>0.9</h2>
Step-by-step explanation:
Plz mark as brainliest
Answer:
8 people in the original group.
Step-by-step explanation:
Let x be the number of people who were originally present for the dinner that cost $160. Their average cost per person would be:
$160/x
If 2 more people join, there are x+2 people. Ignoring the awkward situation that they apparently did not order any additional food, they agree to share the cost of the dinner. The average cost is now:
$160/(x+2)
We are told that this new average is now $4 less per person.
$160/(x+2) = ($160/x) - $4
$160 = (($160/x) - $4)(x+2)
x = 8 people
By algebraic handling we find that the unique solution of the system of linear equations is: (x, y, z) = (- 2, 4, 3). (Correct choice: A)
<h3>What is the nature of a system of linear equations?</h3>
If the system of equations has no solutions, then the determinant of the dependent coefficients of the system of linear equations must be zero. Let see:
This determinant can be determined by Sarrus' rule:
D = (1) · (- 1) · (7) + 4 · (- 1) · 1 + (- 1) · 1 · (- 8) - (- 1) · (- 1) · 1 + 4 · 1 · 7 - 1 · (- 1) · (- 8)
D = - 7 - 4 + 8 - 1 + 28 - 8
D = 16
The system of linear equations have at least one solution. This system has only one solution any of the three equations is not a function of the other two. By algebraic handling we find that the unique solution of the system is: (x, y, z) = (- 2, 4, 3).
To learn more on systems of linear equations: brainly.com/question/19549073
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Answer:
5. y=-1 (the line of reflection)
6. 90 degrees CCW
7. move the figure 4 units right
8. Increase or multiply the figure by two...
Step-by-step explanation:
7.(add 4 to every x value) and 6 down (subtract 6 from every y-value)
8.J is 2 units up and one unit left of the origin so you'd multiply it by 2 so that it is 4 units up and 2 units left of the orgin. Repeat this for every point of the triangle
Step-by-step explanation:
Slope Intercept Form is "y = mx + b"
What it means?
"m" - slope
"b" - y intercept (0,b)
So, we are given the slope, but not the y intercept..
For now, lets fill in the slope.
y = 1/4x + b
We are given a coordinate pair (-2,-1)
Fill it into the equation and solve for b.
-1 = 0.25(-2) + b
-1 = -0.50 + b
- 0.50 = b
We now have the value of "B"
Fill in the rest of the equation:
y = 1/4x + -.50
^ I think that is correct, sorry if it's wrong.
