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hichkok12 [17]
3 years ago
14

Which graph represents y−4=2(x−3) ?

Mathematics
1 answer:
lina2011 [118]3 years ago
5 0
First put the equation in point slope form:
y - 4 = 2x - 6
y = 2x - 2
Then graph this, which will look like this

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A bacterium cell splits into 2 cells every hour. Write and evaluate an exponential expression to find how many cells there will
timurjin [86]

Answer:

2^x

64 bacterium

10 hours

Step-by-step explanation:

doubles every hour

if x = hours

2^x

2^x --> 2⁶ = 64

2^x = 1024

1024 = 2^10 ---> x=10

7 0
3 years ago
1. Find two numbers with a common factor of 3 only.
Mnenie [13.5K]

Answer:

All numbers can be written as a product of the prime numbers that conform them.

A) Find two numbers with a common factor of 3 only.

for example:

2*3 = 6

7*3 = 21

Both numbers have the factor 3 in them, and because the other two numbers are primes, we can be sure that the 3 is the only common factor.

B) Write a pair of numbers with a common factor of 2, 3 and  6.

Here we can write:

2*3*2 = 12

3*2*5 = 30

Those two numbers have the common factors 6, 2 and 3.

C) Write a pair of numbers with common factors of 3, 6 and  9.​

3*2*3 = 18 (has the factors 2, 3, 3*2 = 6, 3*3 = 9)

-3*2*6 = -36

Both have the common factors 3, 6 and 9 (and they share more common factors like 2, this happens because 6 = 3*2, so if 6 is a common factor, 2 also must be)

8 0
2 years ago
N/8= 25/40<br> N/20=85/100<br> 2/3=16/n<br> 5/6=25/n
4vir4ik [10]
N/8 = 25/40
40n = 25 * 8
40n = 200
n = 200/40
n = 5

n/20 = 85/100
100n = 85 * 20
100n = 1700
n = 1700/100
n = 17

2/3 = 16/n
2n = 16 * 3
2n = 48
n = 48/2
n = 24

5/6 = 25/n
5n = 25 * 6
5n = 150
n = 150/5
n = 30
3 0
3 years ago
A certain population of mice is growing exponentially. After one month there are 48. After 2 months there are "192" mice. Write
REY [17]

Answer:

P(t) = 12e^1.3863k

Step-by-step explanation:

The general exponential equation is represented as;

P(t) = P0e^kt

P(t) is the population of the mice after t years

k is the constant

P0 is the initial population of the mice

t is the time in months

If after one month there are 48 population, then;

P(1) = P0e^k(1)

48 = P0e^k ...... 1

Also if after 2 months there are "192" mice, then;

192 = P0e^2k.... 2

Divide equation 2 by 1;

192/48 = P0e^2k/P0e^k

4 = e^2k-k

4 = e^k

Apply ln to both sides

ln4 = lne^k

k = ln4

k = 1.3863

Substitute e^k into equation 1 to get P0

From 1, 48 = P0e^k

48 = 4P0

P0 = 48/4

P0 = 12

Get the required equation by substituting k = 1.3863 and P0 = 12 into equation 1, we have;

P(t) = 12e^1.3863k

This gives the equation representing the scenario

8 0
2 years ago
Plot point for negative 4 and negativie 1
Allushta [10]

Answer:

Step-by-step explanation:

(-4, -1) is what you asked to be plotted.

The first number is what number you go to on the x axis (horizontal).

The second number is what number you go to on the y axis (vertical).

I've attached a picture to help demonstrate. :)

The way I remember which comes first is to keep it alphabetical. X comes first, so go on the x axis first, then y

4 0
2 years ago
Read 2 more answers
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