Answer:
x = -2 and y = 2
Step-by-step explanation:
We have the following system of linear equations;
y=x+4
y=-2x-2
To solve the above system, we shall be equating the right hand sides of the two equations since we have y's on the left hand side of both equations;
x + 4 = -2x - 2
add 2x on both sides of the equation;
x + 4 + 2x = -2x - 2 + 2x
3x + 4 = -2
subtract 4 on both sides of the equation;
3x + 4 - 4 = -2 - 4
3x = -6
x = -2
We can use the first equation y=x+4 to determine the value of y;
y = -2 + 4
y = 2
The solution to the system of linear equations is thus;
x = -2 and y = 2
Answer:
x+x+30 is the required expression.
Step-by-step explanation:
You watch x minutes of television on Monday
An since, the same amount on Wednesday that means x minutes on Wednesday
And 30 minutes on Friday
Since, we have to tell the expression that represents the total amount in the given situation that means
x+x+30 is the required expression.
If the y-intercept is at -69, meaning the point is (0, -69), thus x = 0, y = -69
Answer:
0.0668 or 6.68%
Step-by-step explanation:
Mean time (μ)= 46 minutes
Standard deviation (σ) = 6 minutes
The z-score for any given time X is determined by:
For X = 37:
A z-score of -1.5 corresponds to the 6.68th percentile of a normal distribution. The probability that it will take less than 37 minutes to complete the test is
The probability is 0.0668 or 6.68%
Answer:
C. 20
Step-by-step explanation:
We have to isolate x.
6(x - 8) = 72
Distribute 6.
6x - 48 = 72
Add 48 to both sides.
6x = 120
Divide both sides by 6.
x = 20
