5/7
6*5/6*7
30/42
30/42 = 30/42
Yes, 5/7 and 30/42 form a proportion.
name the points
a=(x1,y1) b=(x2,y2)
a=(6,8) b=(9,10)
use the slope formula

replace

answer= The slope is equal to 2/3
a=(9,10) b=(6,8)
using the formula

slope will also be 2/3
Answer:
Yes, it's a rational number
Step-by-step explanation:
-3/7. It is a rational because. It can be written as p/q form. Where p/q are non zero number. And in decimal it would be -0.42
Answer:c(d) = 5 + (0.75*d)
Step-by-step :
In this equation the cost (c) of the distance traveled (d) has a base rate of 5, and increases by .75 for every mile traveled (d)
The range of the equation is 
Explanation:
The given equation is 
We need to determine the range of the equation.
<u>Range:</u>
The range of the function is the set of all dependent y - values for which the function is well defined.
Let us simplify the equation.
Thus, we have;

This can be written as 
Now, we shall determine the range.
Let us interchange the variables x and y.
Thus, we have;

Solving for y, we get;

Applying the log rule, if f(x) = g(x) then
, then, we get;

Simplifying, we get;

Dividing both sides by
, we have;

Subtracting 7 from both sides of the equation, we have;

Dividing both sides by 2, we get;

Let us find the positive values for logs.
Thus, we have,;


The function domain is 
By combining the intervals, the range becomes 
Hence, the range of the equation is 