If a linear function has the points (0,1) and (5,8) on its graph, what is the rate of change of the function?

1 answer:

6 0

A. 7/4
Rate of change is the same as slope, it is how the line has to go to get from the first to the second point. The slope function is y2-y1 / x2-x1. So we end up with 8-1/5-1 making 7/4

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How many extraneous solutions does the equation below have?

FrozenT [24]

<u>Answer</u>

<u>Explanation</u>

(2m)/(2m+3)-(2m)/(2m-3)=1

Simplifying the left hand first

(2m)/(2m+3)-(2m)/(2m-3) = {2m(2m-3) - 2m(2m+3)}/(4m²-9)

(4m²-6m-4m²-6m)/(4m²-9)

= (-12m) / (4m²-9)

Now this equet to 1

(-12m) / (4m²-9) = 1

-12m = 4m²-9

4m²+ 12m -9 =0 ⇒⇒⇒ This is a quadratic equation that has 2 real solutions.

4m²+ 12m -9 =0

m² + 3m + (3/2)²= 9/4 + 9/4

(m + 3/2)² = 18/4

m = √18/2 - 3/2 or m = -√18/2 - 3/2

= 0.621 = -3.621

So we can say that the equation has NO extraneous solutions.

Answer = 0

8 0

3 years ago

Read 2 more answers

What are the solutions of the quadratic equation 4x^2-8x-12=0

Wewaii [24]

Answer:

Step-by-step explanation:

$4x^2-8x-12=0\\{}\qquad\qquad^{\div4\qquad\div4}\\x^2-2x-3=0\\\\x^2+x-3x-3=0\\\\x(x+1)-3(x+1)=0\\\\(x+1)(x-3)=0\\\\x+1=0\quad\vee\quad x-3=0\\\\x=-1\quad\vee\quad x=3$