Answer:
Step-by-step explanation:
step 1
Find the equation of the solid line
From the graph take the points (0,3) and (4,11)
Find the slope
The equation of the solid line in slope intercept form is equal to
we have
----> the y-intercept is the point (0,3)
substitute
therefore
The inequality is
step 2
Find the equation of the dashed line
The slope is given
From the graph take the y-intercept (0,-5)
The equation of the solid line in slope intercept form is equal to
we have
substitute
therefore
The inequality is
because the shaded region is below the dashed line
therefore
The system of inequalities is
Answer:
9/4
Step-by-step explanation:
The divide symbol is also the line that separates the numerator and the denominator, so 45÷20 can also be written as 45/20.
We can see that both 45 and 20 are divisible by 5, so we can simplify the fraction down to 9x5/4x5, and then we cancel out the 5s and are left with 9/4
Hello from MrBillDoesMath
Answer: 12, 9
Discussion:
Let x be the first number and y the second number. The form the problem statement:
x + y = 21
x - y = 3
Add the two equations. This gives:
(x + x ) + ( y-y) = 21 + 3 =>
2x + 0 = 24 =>
x = 12
Since x -y =3, substituting in the value of x gives, 12 - y = 3 so y = 9
Thank you,
Mr. B
Rounded answer is 7.66
Regular answer is 7.65966
