Answer:
scale factor = 
Step-by-step explanation:
To calculate the scale factor compare the ratio of corresponding sides, image to original.
Comparing the base of both triangles
Figure A = 6 and Figure B = 3
scale factor from A to B is
k =
= 
The gradient of the line is 2.5, the y-intercept is 5.
The equation representing the line is y = 2.5x + 5
Based on the concept mentioned in my previous answers to your questions, this means the shaded region is represented by y ≤ 2.5x + 5
Answer:
<em> f ( x ) = - 2x^2 + 3x + 1</em>
Step-by-step explanation:
If f (x ) extends to → − ∞, as x→ − ∞ , provided f(x) → − ∞, as x → +∞, we can rewrite this representation as such;
− ∞ < x < ∞, while y > − ∞
Now the simplest representation of this parabola is f ( x ) = - x^2, provided it is a down - facing parabola;
If we are considering a down - facing parabola, the degree of this trinomial we should create should be even, the LCM being negative. Knowing that we can consider this equation;
<em>Solution; f ( x ) = - 2x^2 + 3x + 1</em>, where the degree is 2, the LCM ⇒ - 2
Step-by-step explanation:
The sequence is an AP with common difference -7.
Therefore the next 2 terms are 1 and -6.
Answer:
2.15d+3.12 = 11.72
Step-by-step explanation:
The total cost is found by adding the costs of the donuts and the cost of the drink
The donuts cost 2.15 per donut = 2.15d
The drink is 3.12
She spent 11.72
2.15d+3.12 = 11.72