For
solving system of equations, we can use either substitution where we plug one
equation into the other, or elimination where we combine the equations.
-
Using elimination,
you would to eliminate one variable from both equations, so you automatically would
get one equation with one variable!
- Using
substitution
means you are going to solve one equation for one variable and substitute with
its value in the other equation in order to get also an equation with one
variable.
Let's take an example ...
y+x=2 and y-2x = 1
<span>Using <span>elimination, we need to subtract these two equation; one from the other...
y+x=2
-
y-2x=1
-----------
0+3x=1
then
x=1/3 and then substitute into any equation to get y-value</span></span>
y+x=2
y+1/3 = 2 >>>>>
y=5/3NOW...<span>Using substitution
</span>y+x=2 and y-2x = 1 >>(y=1+2x)
Plug (y=1+2x) into y+x=2 and solve for x
y+x=2
(1+2x) + x =2
1+3x = 2
3x=1
again (and for sure)
x = 1/3plug in x=1/3 into any of the equations above to get y:
y+x=2
y+1/3=2
y=5/3DOne !!!!!!
I hope you got
the idea
If you still need help, just let me know.
We can multiply the number of parts Marsha has finished by the miles of each part:
5 × 1/10
= 5/10
=1/2
Therefore, she raced 1/2 miles.
Hope it helps!
Answer:
18 logs.
Step-by-step explanation:
Since a stove burns 4 logs per 2 hours, then the stove will burn 2 logs in one hour. There fore in 9 hours the stove will burn 2*9 which is 18 logs.
4:2= 2 logs per hour
2*9=18 logs per 9 hours.
Answer:
Size of |E n B| = 2
Size of |B| = 1
Step-by-step explanation:
<em>I'll assume both die are 6 sides</em>
Given
Blue die and Red Die
Required
Sizes of sets
- 
- 
The question stated the following;
B = Event that blue die comes up with 6
E = Event that both dice come even
So first; we'll list out the sample space of both events


Calculating the size of |E n B|


<em>The size = 3 because it contains 3 possible outcomes</em>
Calculating the size of |B|

<em>The size = 1 because it contains 1 possible outcome</em>
Answer:
$204
Step-by-step explanation:
The question is at what price x will the company maximize revenue.
The revenue function is:

The price for which the derivate of the revenue function is zero is the price the maximizes revenue:

The company will maximize its revenue when the price is $204.