45. divide the first set of x and y by 2 then multiply by 9 to get 45 for y and 18 for x
Answer:
(2, -1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
2x + y = 3
-2x + 5y = -9
<u>Step 2: Solve for </u><em><u>y</u></em>
<em>Elimination</em>
- Combine equations: 6y = -6
- Divide 6 on both sides: y = -1
<u>Step 3: Solve for </u><em><u>x</u></em>
- Define equation: 2x + y = 3
- Substitute in <em>y</em>: 2x - 1 = 3
- Isolate <em>y</em> term: 2x = 4
- Isolate <em>y</em>: x = 2
Answer:
Move all terms not containing
x
to the right side of the inequality.
Inequality Form:
x > 48
Interval Notation:
(48,∞)
Hope this helps
Answer:
Step-by-step explanation:
SORRY,I DONT KNOW
The population after 20 weeks will be 403.42
in which
is the initial population.
Given that the growth rate of bacteria at any time t is proportional to the number present at t and triples in 1 week.
We are required to find the number of bacteria present after 10 weeks.
let the number of bacteria present at t is x.
So,
dx/dt∝x
dx/dt=kx
1/x dx=k dt
Now integrate both sides.
=
log x=kt+log c----------1
Put t=0
log
=0 +log c (
shows the population in beginning)
Cancelling log from both sides.
c=
So put c=
in 1
log x=kt+log 
log x=log
+log 
log x=log 
x=
We have been given that the population triples in a week so we have to put the value of x=2
and t=1 to get the value of k.
2
=
2=
log 2=k
We have to now put the value of t=20 and k=log 2 ,to get the population after 20 weeks.
x=

x=

x=
x=403.42
Hence the population after 20 weeks will be 403.42
in which
is the initial population.
Learn more about growth rate at brainly.com/question/25849702
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The given question is incomplete as the question incudes the following:
Calculate the population after 20 weeks.