Answer:
The number of bacteria increases at a rate of 12% each
day.
Step-by-step explanation:
-This is an exponential growth/decay function of the form:
Where
- b is the growth factor
- r is the growth rate
- y is the size at time x
- x is time
- a is the initial size
-Given that b>1, this is a growth function and the population increases by 12% for each unit time elapsed.
-Hence, the correct statement is the number of bacteria increases at a rate of 12% each day.
B is the correct answer.
We are adding the border of x thickness to all 4 sides of the table. This makes the new width of the table 36+x+x = 36+2x and the new length of the table 72+x+x=72+2x. To find the area, we multiply the length and width:
(36+2x)(72+2x) = 3006
Multiplying the binomials, we get:
36*72 + 36*2x + 2x*72 + 2x*2x = 3006
2592 + 72x + 144x + 4x² = 3006
Combining like terms gets us
2592 + 216x + 4x² = 3006
Subtract 3006 from both sides:
2592 + 216x + 4x² - 3006 = 3006 - 3006
-414 + 216x + 4x² = 0
Writing in standard form we have
4x²+216x-414=0
Convert this to slope-intercept form
subtract 1/4x,
3/4y=1-1/4x
then multiply my 4/3
y=4/3-1/3x
y=-1/3x+4/3
4/3 is the y-intercept, so when you're graphing begin with it. Then find another point on the graph according to the slope. Plot point (0,4/3) then plot a point with a y-value 1 less and an x-value 3 more. (slope is sometimes called rise over run because it is a ratio of the change in the y-value divided by the change in the x-value) Plot point (3,1/3). Connect the dots with a ruler and draw a line.
Answer:
11.4
Step-by-step explanation:
Answer: 299*100= 29,900
29,900/5.75= 5,200
answer is 5,200
Step-by-step explanation:
