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3 years ago

Graph. y + 1= 1/3(x-3)

Mathematics

1 answer:

Fofino [41]3 years ago

3 0

Answer:

Here's the graph I did online.

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A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has i

bija089 [108]

Answer: $\bold{a)\ P(t)=P_o\cdot e^{t\cdot ln(2.7)}}$

b) 5314

c) ln 2.7

d) 4.6 hrs

<u>Step-by-step explanation:</u>

$P(t) = P_o\cdot e^{kt}\\\\\bullet \text{P(t) is the number of bacteria after t hours} \\\bullet P_o\text{ is the initial number of bacteria}\\\bullet \text{k is the rate of growth}\\\bullet \text{t is the time (in hours)}\\\\\\270=100\cdot e^{k(1)}\\2.7=e^k\\ln\ 2.7=\ln e^k\\\boxed{ln\ 2.7=k}\\\\\text{So the equation to find the number of bacteria is: }\boxed{P(t)=P_o\cdot e^{t\cdot ln(2.7)}}\\\\\\P(4)=100\cdot e^{4\cdot ln(2.7)}\\.\qquad =\boxed{5314}$

$10,000=100\cdot e^{t\cdot ln(2.7)}\\100=e^{t\cdot ln(2.7)}\\ln\ 100=ln\ e^{t\cdot ln(2.7)}\\ln\ 100=t\cdot ln(2.7)\\\dfrac{ln\ 100}{ln\ 2.7}=t\\\\\boxed{4.6=t}$

4 0

2 years ago

What is the slope of the line that goes through the points (1,-5) and (4,1)?

lesya692 [45]

Answer: m = 2

Step-by-step explanation:

What we know:

The slope needs to pass through the points (1, -5) and (4, 1)
There are 4 potential slopes given to us- only one is correct
We need to find the slope and make sure it is an option

How to solve:

By using the slope equation and the two points given to us, we can calculate the slope.

Process:

Set up equation (y2 - y1) / (x2 - x1)

Substitute (1 +5 ) / (4 - 1)
Simplify 6 / 3
Simplest form 2/ 1 =

Slope = 2

Solution: m = 2

4 0

2 years ago

Help please i need answer ASAP

Juli2301 [7.4K]

If the result is reflected over x-axis and vertically stretched by a factor of 5, the result will be g(x) = -5(x - 1)²

<h3>Transformation of functions</h3>

Transformation is a way of changing the position of an object o the xy plane. Given the parent function expressed as

f(x) = x^2

If the function is shifted to the left by unit, then we will have h(x) = (x - 1)²

If the result is reflected over x-axis and vertically stretched by a factor of 5, the result will be g(x) = -5(x - 1)²

Learn more on translation here: brainly.com/question/12861087

#SPJ1

8 0

1 year ago

Help please...........-

vovangra [49]

Answer:c

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Which table represents a function?

yawa3891 [41]

B represents a function ✔️

7 0

2 years ago