Answer:
0 solutions / no solutions
Step-by-step explanation:
If two lines have the same slope but different y-intercepts, it means that they are parallel.
For example, we have two lines:
y = x
y = x + 1
Both lines have the same slope of 1, but different y - intercepts. Because each equation increases the x and y at the same right (slope) but started at different points, the two equations will never touch.
It's similar to two runner who run at the same pace. If one runner started 50 meters ahead, that runner will always be ahead 50 meters (y-intercept) because they both run at the same rate.
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Answer:
m = (5x -6)/(43y -4)
Step-by-step explanation:
Subtract 4m+6 to separate m-terms from other terms.
5x +4m -(4m +6) = 43my +6 -(4m +6)
5x -6 = 43my -4m
5x -6 = m(43y -4) . . . . factor out m
(5x -6)/(43y -4) = m . . . . divide by the coefficient of m
Answer:
Step-by-step explanation:
given that the operations manager of a plant that manufactures tires wishes to compare the actual inner diameter of two grades of tires, each of which has a nominal value of 575 millimeters. A sample of five tires of each grade is selected, and the results representing the inner diameters of the tires, ranked from smallest to largest, are as follows:
Grade X
568 570 575 578 584
Mean = Total/5 = 575
Median = middle entry = 575
Mode = nil
Grade Y
573 574 575 577 578
Mean = sum/5 = 575.4
Median = middle entry =575
Mode = nil
Answer:
<em>Step 1: 4 x − 3 − 2 x − 10 </em>
<em>Step 2: 2 x − 13</em>
Step-by-step explanation:
Given the expression;
(4 x − 3) − 2 (x + 5)
The following steps/ procedure are to be taken when simplifying the expression.
open the parenthesis
(4 x − 3) − 2 (x + 5)
= 4x-3 -2(x)-2(5)
= 4x-3-2x-10
collect the like terms
= 4x-2x-3-10
simplify the resulting expression
= 2x-13
Hence the procedure that correctly simplifies the expression are:
Step 1: 4 x − 3 − 2 x − 10
Step 2: 2 x − 13
