Answer: The points of the images are (9,10), (15,6), (6,4) and the image is not a rigid motion because the shape changes in side.
Step-by-step explanation:
Since it gives you the scale factor then find they coordinates by multiplying the coordinates by the scare factor.
A(3,5) → (3*3,5*2) → (9,10)
B( 5,3) → (5*3, 3*2) → (15,6)
C ( 2,3)→ (2*3, 2*2)→ ( 6,4)
Answer: After 5 hours, Mary will be at the break even point.
To answer this question, we need to find the time when the cost equals the revenue.
Therefore, set our equations equal to each other and solve.
20 + 30h = 10h^2 - 80
0 = 10h^2 - 30h - 100
0 = h^2 - 3h - 10
0 = (h - 5)(h + 2)
Our solutions are h = 5 or h = -2. Only 5 hours makes sense in the context of this problem.
The constant rate of change is 5 because
Answer:
38
Step-by-step explanation:
Given that,
x = -4
f(x)=x² - 4x +6
so,
f(-4)= (-4)² - 4 . (-4) +6
=16 +16 +6
= 38
Add 40 to both sides
20x = 60
Divide by 20
Answer: x = 3