9514 1404 393
Answer:
A) 5x+12 = -12x-12
D) 5x+12 = -5x-12
Step-by-step explanation:
If you subtract the right side expression from both sides, you will get an equation with something equal to zero. If the 'something' has a variable in it, there is exactly one solution.
A: (5x+12) -(-12x-12) = 17x+24 = 0 . . . one solution
B: (5x+12) -(5x-5) = 17 = 0 . . . . no solutions
C: (5x+12)-(5x+12) = 0 = 0 . . . . infinite solutions
D: (5x+12) -(-5x-12) = 10x +24 = 0 . . . one solution
Answer:
a) y = .70x + 20
-To find this, use the rate as x since it will change based on the number of miles. Since 20 is a flat fee, it can be added at the end as a constant.
b) This graph forms a straight line.
-This is because the answer in a is a linear equation.
c) The slope is .70 and the y-intercept is 20.
-For this one, the y-intercept is always the constant at the end of the equation and the slope is the coefficient of x.
9514 1404 393
Answer:
(x, y, z) = (2+44t, 2+14t, 7-20t)
Step-by-step explanation:
One way to write parametric equations for line L is ...
L = P + t·<em>v</em>
where P is the given point and <em>v</em> is the given direction vector. Using that form, we have ...
(x, y, z) = (2+44t, 2+14t, 7-20t)
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If you like, you can remove a common factor of 2 from the coefficients of t.
(x, y, z) = (2+22t, 2+7t, 7-10t)
The first one since the given measurements/guide is Side, Angle, Side
Answer:
30 students
Step-by-step explanation:
all students = girls+boys
all students= 15+35=50
40% of 50= 20
50-20=30
30 students didn't take the bus to school