Answer:
C.
; 48 strands of bacteria
Step-by-step explanation:
Fred placed 3 strands of bacteria in a petri dish.
The bacteria strands double every hour.
Formula : y = ab^x
Where a is the initial value
b = growth rate
x = hours
So, A formula to represent how many bacteria strands are present at the nth hour : 
Now we are supposed to find how many strands of bacteria are present at 4 hours.
Substitute the value in the formula :

f(4)=48
Hence 48 strands of bacteria are present at 4 hours.
Round each coin weight to the nearest gram first, penny 3g, nickel 5g, dime 2g, quarter 6g, half dollar 11g. Now add those numbers together as he has one of each coin 3+5+2+6+11=27 grams
Answer:
Step-by-step explanation:
(8x²-18x+10)/(x²+5)(x-3)
express the expression as a partial fraction:
(8x²-18x+10)/[(x^2+5)(x-3)] =A/x-3 +bx+c/x²+5
both denominator are equal , so require only work with the nominator
(8x²-18x+10)=(x²+5)A+(x-3)(bx+c)
8x²-18x+10= x²A+5A+bx²+cx-3bx-3c
combine like terms:
x²(A+b)+x(-3b+c)+5A-3c
(8x²-18x+10)
looking at the equation
A+b=8
-3b+c=-18
5A-3c=10
solve for A,b and c (system of equation)
A=2 , B=6, and C=0
substitute in the value of A, b and c
(8x²-18x+10)/[(x^2+5)(x-3)] =A/x-3 +(bx+c)/x²+5
(8x²-18x+10)/[(x^2+5)(x-3)] = 2/x-3 + (6x+0)/(x²+5)
(8x²-18x+10)/[(x^2+5)(x-3)] =
<h2>2/(x-3)+6x/x²+5</h2>
(4x+2)/[(x²+4)(x-2)]
(4x+2)/[(x²+4)(x-2)]= A/(x-2) + bx+c/(x²-2)
(4x+2)=a(x²-2)+(bx+c)(x-2)
follow the same step in the previous answer:
the answer is :
<h2>(4x+2)/[(x²+4)(x-2)]= 5/4/(x-2) + (3/2 -5x/4)/(x²+4)</h2>
The equation of line that has slope 8 and passes though (2,7) is: 
Step-by-step explanation:
Given
Slope of line = 8
passes through (2,7)
Equation of line in slope-intercept form is given by:

Putting the value of slope

Too find the value of b, putting (2,7) in the equation

Putting b=-9 int he equation

Hence,
The equation of line that has slope 8 and passes though (2,7) is: 
Keywords: Equation of line, slope
Learn more about equation of line at:
#LearnwithBrainly