Answer:
−18c+83d+4x+1077
Step-by-step explanation:
combine all like terms
(2x+2x=4x)
(5d+78d=83d)
(-9*2c=-18c)
(1077=844+233)
B - 13
Okay, we know that Mark brought 1 notebook and the totally is 6.91 while one pencil costs $0.42.
x= number of pencils he brought.
we know the price of 1 notebook + the cost of pencils times the numbers of pencils he brought = total cost.
So the equation will be:
1.45 + 0.42x = 6.91 subtract 1.45 on both sides.
0.42x = 5.46 Then we solve for x by dividing both sides by 0.42
x= 13
So the number of pencils he brought is 13.
Answer:
the x^2 column would have a "22" between the 4 & 5
Step-by-step explanation:
x x^2
0 0
1 1
2 4
3 9
4 16
5 25
6 36
The formula for the number of bacteria at time t is 1000 x (2^t).
The number of bacteria after one hour is 2828
The number of minutes for there to be 50,000 bacteria is 324 minutes.
<h3>What is the number of bacteria after 1 hour?
</h3>
The exponential function that can be used to determine the number of bacteria with the passage of time is:
initial population x (rate of increase)^t
1000 x (2^t).
Population after 1 hour : 1000 x 2^(60/40) = 2828
Time when there would be 50,000 bacteria : In(FV / PV) / r
Where:
- FV = future bacteria population = 50,000
- PV = present bacteria population = 1000
- r = rate of increase = 100%
In (50,000 / 1000)
In 50 / 1 = 3.91 hours x 60 = 324 minutes
To learn more about exponential functions, please check: brainly.com/question/26331578
#SPJ1
Answer:
a = 2, b = - 5
Step-by-step explanation:
Given
y = ax² + bx
is the measure of the slope at x = a
Differentiate each term with respect to x using the power rule
(a
) = na
= 2ax + b, hence
2ax + b = 3 at (2, - 2)
Substitute x = 2 into
4a + b = 3 → (1) and substitute x = 2 into y
4a + 2b = - 2 → (2)
Subtract ( 1) from (2)
b = - 2 - 3 = - 5
Substitute b = - 5 into (1)
4a - 5 = 3 ( add 5 to both sides )
4a = 8 ( divide both sides by 4 )
a = 2
