Answer:
C.
Step-by-step explanation:
recall that the point-slope form of a linear equation is given by
y = mx + c
Rearranging so that it is in the same form as the answer choices, we get
y = c + mx
where m is the slope and c is the y-intercept
we note the following observations
1) The line goes from top left to bottom right, this means that the slope is negative, hence m has to be negative. (in our case, all the choices have negative x)
2) The line crosses the y-axis at y = 4, this means the y-intercept is 4 and hence c = 4.
If we look at the choices, only choice B satisfies both observations (that m is negative and c = 4)
Answer:
Graph ⇒ see the attached figure
Create a table ⇒ see the attached figure
Expression/Equation ⇒ y = 8x
What is the slope? ⇒ 8
What is the y-intercept? ⇒ zero
Step-by-step explanation:
Given: Meat costs $8.00 per pound at a store.
Let the number of pounds = x, and the total cost = y
So, the equation which represents the given situation is ⇒ y = mx
Where m is the slope.
If x = 1 pound , the meat costs = y = $8
So, y = 8x
The table can created by let values for x and find the values of y.
The attached table represents the table and the graph of y = 8x
The slope = 8
y-intercept is the value of y when x = 0
so, the y-intercept = 0
Answer:
1599995904
Step-by-step explanation:
first, you must do the top part of the fraction. you can start by doing the power numbers such as 2 power 4, 4 power 6 and 4 power 4.
the complete answer for the top part is: 12x 16x 4069x 8x 2x 256 which equals: 3199991808
then, you must divide by 2 which gives you the answer of: 1599995904
Given that there were 30 bacteria present originally.
a=30
Also given that the number doubles every one hour.
After one hour the count =2×30=60
Since the count doubles every hour it forms a G.P. with r=2
a,ar,ar2........
The count at the end of 2nd hour=ar^2=30×2^2=120
The count at the end of 4th hour=ar^4=30×2^4=480
The count at the end of 8th hour=ar^8n=30×2^8=7680
etc.
The count at the end of n^th hour=ar^n=30×2^n
Also, the equation y=30*(2)^8/1 give the same result y= 7680
