Answer:
<em>y = 3x + 5</em>
Step-by-step explanation:
y = mx + b (slope-intercept form)
( 
, 
)
( 
, 
)
Slope m = 
y - = m( x - ) (point-slope form of linear equation)
~~~~~~~~~~~~~~~
£4 and 720p, 12 times 60p equals 720p
Answer:
Option C.
Step-by-step explanation:
It is given that the dilation rule is 
. It means the center of dilatation is point Q and scale factor is 2.5.
Scale factor is the ratio of distance from center to the image of a point and distance from center to the corresponding point.
It is given that QU=4 and scale factor = 2.5.
Multiply both sides by 4.
We know that
The distance between U' and U is 6 units.
Therefore, the correct option is C.
h(x) = 3 * (2)^x
Section A is from x = 1 to x = 2
h(1) = 3 * (2)^1 = 3 * 2 = 6
h(2) = 3 * (2)^2 = 3 * 4 = 12
so
the average rate of change = (12 - 6)/(2 - 1) = 6
Section B is from x = 3 to x = 4
h(3) = 3 * (2)^3 = 3 * 8 = 24
h(4) = 3 * (2)^4 = 3 * 16 = 48
so
the average rate of change = (48 - 24)/(4 - 3) = 24
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points)
the average rate of change of section B is 24 and the average rate of change of section A is 6
So 24/6 = 4
The average rate of change of Section B is 4 times greater than the average rate of change of Section A
It's exponential function, not a linear function; so the rate of change is increasing.
Answer:
-3/7 > b
Step-by-step explanation:
2/7> b+5/7
Subtract 5/7 from each side
2/7-5/7> b+5/7-5/7
-3/7 > b
