Answer:
Option A
Step-by-step explanation:
Since X,Y and Z are on the same line, The gradient is the same so far as the point chosen are on the same line.
For the given system of linear equations to give an infinite number of solutions the value of k should be 2.
<h3>What is a Dependent Consistent System of equations?</h3>
A system of the equation to be a Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.
Given the two systems of linear equations,
2x + 3y = 4
(k+ 2)x + 6y = 3k+2
For any system of equations to have infinitely many solutions, the equation of the linear system must be in ratio, so that the lines of the equations overlap each other. Therefore, the ratio for the two of the given equations can be written as,
2/(k+2) = 3/6 = 4/(3k+2)
Solving the ratio to get the value of k,
2/(k+2) = 3/6
2/(k+2) = 1/2
2 × 2 = 1 × (k+2)
4 = k + 2
4 - 2 = k
k = 2
Hence, for the given system of linear equations to give an infinite number of solutions the value of k should be 2.
Learn more about the System of equation here:
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Since the percent lost per hour is constant, this is a linear equation, and the slope-intercept form of a linear equation is:
Where <em>m</em> is the slope and <em>b</em> is the intercept.
In this case, we want to formulate how much percentage is left based on how many hours have passed, so the percent left is dependent upon the time passed. This means that the dependent quantity is the percent of battery life left, and this will be variable <em>y</em>.
Answer:
21
Step-by-step explanation:
The expression Jackie came up with is:
0.75m = 15.75.
To get the value of m, we divide both sides by 0.75
0.75m = 15.75.
0.75m/0.75 = 15.75/0.75
m = 1575/75
= 21
Answer:
The answer is "between 60 and 96 jobs per day".
Step-by-step explanation:
In this solution, there is a mound-sized and symmetrical distribution for the number of works submitted to your computer per day with mean=78, and standard deviation=6.
Therefore a distribution of 95% decreases between the average 3* standard deviation
Therefore,
The 95% distribution falls in between 60 and 96 jobs per day.