Answer:
f(x) = 0.5(x + 3)^2 + 5.
Step-by-step explanation:
The horizontal stretch is given by multiplying by 1/2 or 0.5:
f(x) = 0.5x^2
Now a shift of 3 to the left gives f(x) = 0.5(x + 3)^2.
5 units up gives 0.5(x + 3)^2 + 5.
Answer:
What is the constant variation of Y =- 2 3x?
The constant of variation, k , is 23 .
What is the constant variation of Y 1 2x?
The constant of variation, k , is 12 .
Step-by-step explanation:
yeet yeet yeet
Answer:
Choice A
Step-by-step explanation:
In each case, each equation has an equation of a line in y = mx + b form equaling another equation of a line in y = mx + b form. If the two sides are equal, it is the same equation, there are infinitely many solutions. If the sides are different, then if the slopes are different, the lines intersect at one point, and there is exactly 1 solution. If the slopes are equal, the lines are parallel, and there is no solution.
(Choice A) -10x-10=-10x-10
In Choice A, both sides of the equation are equal, so there are infinitely many solutions.
(Choice B) 10x-10=-10x+10
(Choice C) 10x-10=-10x-10
(Choice D) -10x-10=-10x+10
In choices B through D, the two sides are not equal, so there is either 1 solution (B and C since they have different slopes) or no solution (D since the slopes are equal).
Answer:
See a solution process below:
Explanation:
Let's call the number of miles driven we are looking for
m
.
The the total cost of ownership for the first car model is:
12000
+
0.1
m
The the total cost of ownership for the second car model is:
14000
+
0.08
m
We can equate these two expressions and solve for
m
to find after how many miles the total cost of ownership is the same:
12000
+
0.1
m
=
14000
+
0.08
m
Next, we can subtract
12000
and
0.08
m
from each side of the equation to isolate the
m
term while keeping the equation balanced:
−
12000
+
12000
+
0.1
m
−
0.08
m
=
−
12000
+
14000
+
0.08
m
−
0.08
m
0
+
(
0.1
−
0.08
)
m
=
2000
+
0
0.02
m
=
2000
Now, we can divide each side of the equation by
0.02
to solve for
m
while keeping the equation balanced:
0.02
m
0.02
=
2000
0.02
0.02
m
0.02
=
100000
After 100,000 miles the total cost of ownership of the two cars would be the same.
Answer:
I believe it's the 3rd answer
