Answer:
The number of flags captured by Danny was 12
The number of flags captured by Jon was 2
Step-by-step explanation:
Let
x-----> number of flags captured by Danny
y---> number of flags captured by Jon
we know that
------> equation A
-----> equation B
substitute equation B in equation A and solve for y
Find the value of x
therefore
The number of flags captured by Danny was 12
The number of flags captured by Jon was 2
Answer:
a) ( r+ s) (x) = 3 x + 9
b) ( r . s ) (x) = 2 x² + 13 x +20
c) ( r- s) (x) = -1 -x
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that r(x) = x +4 and s(x) = 2x + 5
a) ( r+ s) (x) = r(x) + s(x)
= x +4 + 2x +5
= 3 x + 9
<em> ( r+ s) (x) = 3 x + 9</em>
b)
( r . s ) (x) = r(x) . s(x)
= (x+4) . ( 2x +5)
= x ( 2x +5) + 4( 2x +5)
= 2 x² + 5 x + 8 x +20
= 2 x² + 13 x +20
<em> ( r . s ) (x) = 2 x² + 13 x +20</em>
c)
( r- s) (x) = r(x) - s(x)
= (x+4 - ( 2x +5)
= x +4 - 2x -5
= -x -1
<em> ( r- s) (x) = -1 -x</em>
Answer:
Part (A): The total number of ways are
Part (B): The total number of ways are
Step-by-step explanation:
Consider the provided information.
Part(A) a) How many ways are there for her to plan her schedule if there are no restrictions on the number of days she studies each of the four subjects?
She plans on studying four different subjects.
That means she has 4 choices for each day also there is no restriction on the number of days.
Hence, the total number of ways are:
Part (B) How many ways are there for her to plan her schedule if she decides that the number of days she studies each subject will be the same?
She wants that the number of day she studies each subject will be the same that means she studies for 25 days each subject.
Therefore, the number of ways are:
Answer:
All real numbers greater than or equal to -1
Step-by-step explanation:
f(x) = (x-3)^2 - 1 >= -1