Since this is a line it has a constant velocity or slope, and the line can be expressed as y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0)
m=(y2-y1)/(x2-x1)
m=(6--4)/(10-4)
m=10/6
m=5/3, using any point we can then find the y-intercept, I'll use (4,-4)
-4=5(4)/3+b
-4=(20+3b)/3
-12=20+3b
-32=3b
-32/3=b so our line is:
y=(5x-32)/3
So there are infinite points on the line segment defined by the equation above on the interval of x=[4,10]
A point? How about the midpoint...x=(4+10)/2=7
y(7)=(5*7-32)/3=1
(7,1)
4,800 that’s the answer for your equation
Answer:
positive
Step-by-step explanation:
The equation of a line modeling the price of a car over the years from its initial purchase is to be a line with negative slope "m" due to the fact that the price of the car drops with the years, but for sure the price at the time of purchase (which is the zero in the horizontal x-axis) should be the largest value the car would have (the purchase price) This is actually the y-intercept "b", clearly a positive number.
I will named this exponential function as y= - 343^x .
This function is symmetrical with function y = 343^x in relation to X axis.
In general their formula is y=a^x or in your case y= - a^x
First I'll describe y=a^x => this function has domein Dx=R ( Whole field of real number), range is in interval ( 0, +infinity), when x increases and y increases, when x decreases and y decreases. This function is always positive in whole domain and always is growing function. And X axis is its asymptote (y=0).
In your case function y= - 343^x has folowing features:
domein Dx=R
range is in interval (-infinity, 0)
when x increases => y decreases =>
example: y= -2^2=-4, y= -2^3=-8 etc....
when x decreases => y increases ->
example: y= -2^(-2)= - 1/(2^2)= - 1/4, y=-2^(-3)= - 1/(2^3)= - 1/8 etc....
this function is always negative
this function is always declining
x axis is its asymptote from the top ( y=0)
You wouldnt get any solutions as if you substituted them into each other you would get:
-3x - 6 = -3x + 7
the -3x cancel eachother out so you end up with
-6 = 7 which isnt true
