Answer:
{x,y}={
3
13
,
3
1
}
Step-by-step explanation:
More Icon
System of Linear Equations entered :
[1] x + 2y = 5
[2] x - y = 4
Graphic Representation of the Equations :
2y + x = 5 y + x = 4
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = y + 4
// Plug this in for variable x in equation [1]
[1] (y +4) + 2y = 5
[1] 3y = 1
// Solve equation [1] for the variable y
[1] 3y = 1
[1] y = 1/3
// By now we know this much :
x = y+4
y = 1/3
// Use the y value to solve for x
x = (1/3)+4 = 13/3
Solution :
{x,y} = {13/3,1/3}
Answer:
D. 72
Step-by-step explanation:
Use permutation to answer this question taking notice of the order.
The quiz has 3 true/false questions. This means are there 2 possible ways to answer the true/false question hence 2³
The quiz also has 2 multiple choice questions that have 3 option each. This means 3²
The number of possible ways to complete the quiz will be;
2³ × 3² = 8×9 =72
Option A: The vessel has sailed 34 miles South
Explanation:
Given that the vessel sails 41 miles S 35° E.
We need to determine the how far south the vessel has sailed.
Let us use the Pythagorean theorem to find the distance of the vessel has sailed.
Thus, we have,
Substituting 
, 
and 
Hence, we get,
Simplifying, we have,
Multiplying both sides by 41, we have,
Rounding off to the nearest integer, we have,
Thus, the vessel has sailed 34 miles South.
Therefore, Option B is the correct answer.
Here we are given the specific equation of:
amount of eroded soil = 0.4 + 1.3 x
where x is the flow rate
A linear equation has a general formula in the form of:
y = m x + b
where m is the slope and b is the y intercept of the equation
If we compare this with our specific equation, we can see that the slope and y intercept are both positive with values:
m = 0.4
b = 1.3
Therefore this only means that as the flow rate increases, the amount of eroded soil also increases.
Hence the correlation must be positive but we cannot solve for the exact value since we need the data for x and y.
Answer:
positive, but we cannot say what the exact value is
