X^2/y + x^2/z =
10^2/(-5) + 10^2/(-2) =
100/(-5) + 100/(-2) =
-20 - 50 =
-70
80+70=150
270/150=1.8 hours before the two trains are 270 miles apart
☺☺☺☺
Answer:
(1, 8.5 ) and ( - 17, 80.5 )
Step-by-step explanation:
Given the 2 equations
y = 
x² + 4x + 4 → (1)
y = - 4x + 12 → (2)
Substitute (1) into (2), that is
x² + 4x + 4 = - 4x + 12 ( multiply through by 2 to clear the fractions )
x² + 8x + 8 = - 8x + 25 ( add 8x to both sides )
x² + 16x + 8 = 25 ( subtract 25 from both sides )
x² + 16x - 17 = 0 ← in standard form
(x + 17)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 17 = 0 ⇒ x = - 17
x - 1 = 0 ⇒ x = 1
Substitute these values into either of the 2 equations and evaluate for y
Substituting into (2 )
x = 1 : y = - 4(1) + 12.5 = - 4 + 12.5 = 8.5 ⇒ (1, 8.5 )
x = - 17 : y = - 4(- 17) + 12.5 = 68 + 12.5 = 80.5 ⇒ (- 17, 80.5 )
Answer:
a transformation could be a rotation, reflection, and/or a translation.
Step-by-step explanation:
In geometry, transformation refers to the movement of objects in the coordinate plane.
Therefore, a transformation could be a rotation, reflection, and/or a translation.
The piecewise function that models the scenario is:
c(x) = $3.75*x + $5 if x < 6
c(x) = $3.25*x + $5 if x ≥ 6.
<h3>
How to write a piecewise function?</h3>
A piecewise function is a function that behaves differently in different intervals of the domain, like this one, where the cost per box changes depending on the number of box.
The function in this case, if we define x as the number of boxes bought, is:
- c(x) = $3.75*x + $5 if x < 6
- c(x) = $3.25*x + $5 if x ≥ 6.
Where the cost per box changes for x equal or larger than 6.
If you want to learn more about piecewise functions, you can read:
brainly.com/question/3628123
