Answer:
Step-by-step explanation:
Rate of change is another term for the slope.
rate of change = slope = (change in y)/(change in x)
<u>Function A:</u>
y = mx + b (m = slope)
y = 4x - 3
Function A has a slope of 4.
The rate of change for function A is 4.
<u>Function B:</u>
Take two points.
(-1, 0) and (1, 4)
slope = (y2 - y1)/(x2 - x1)
slope = (4 -0)/(1 - -1)
slope = 4/2 = 2
The rate of change for function B is 2.
Answer:
Step-by-step explanation:
To add two fractions we need a common denominator. Just by looking at the two, there are no common factors. This means the denominator would be the product of the two: 4x(x-8). In order to obtain this, we multiply the first fraction by (x-8)/(x-8) - 1, and the second by 4x/4x - 1:
We can use the distributive property to simplify:
The sum of the two is:
<u>Answer:</u>
96
<u>Step-by-step explanation:</u>
Let's assume that the marks needed in the next exam is . Then if the average becomes 90,
Now we can simply solve for :
⇒
⇒ [Multiplying both sides by 4]
⇒ [Subtracting 264 from both sides]
⇒
Therefore, you need to score 96 in your next exam to have an average of 90 on the four exams.