Answer:
The pizza of martin is 
Step-by-step explanation:
Given that,
Martin has 
of pizza.
Liam has four time much pizza.
Let us consider pizza is x.
We need to calculate the how much pizza of martin
Using given data
Pizza of Martin =
Pizza of Liam = 
The pizza of martin will be
Hence, The pizza of martin is
The only factoring you need to do is already done for you:
<em>x</em>² + <em>x</em> - 12 = (<em>x</em> + 4) (<em>x</em> - 3)
What you're asked to do is decompose
(3<em>x</em> - 4) / (<em>x</em>² + <em>x</em> - 12)
into partial fractions, i.e. find <em>a</em> and <em>b</em> such that
(3<em>x</em> - 4) / (<em>x</em>² + <em>x</em> - 12) = <em>a</em> / (<em>x</em> + 4) + <em>b</em> / (<em>x</em> - 3)
Multiply both sides by <em>x</em>² + <em>x</em> - 12 :
3<em>x</em> - 4 = <em>a</em> (<em>x</em> - 3) + <em>b</em> (<em>x</em> + 4)
3<em>x</em> - 4 = (<em>a</em> + <em>b</em>) <em>x</em> + (-3<em>a</em> + 4<em>b</em>)
So we have
<em>a</em> + <em>b</em> = 3
-3<em>a</em> + 4<em>b</em> = -4
and solving this system gives
<em>a</em> = 16/7 and <em>b</em> = 5/7
so you should submit the numbers in bold:
(3<em>x</em> - 4) / (<em>x</em>² + <em>x</em> - 12) = 16 / (7 (<em>x</em> + 4)) + 5 / (7 (<em>x</em> - 3))
Answer:
Answer is D. Please thank me and give 5 stars
Answer: b. 3
Therefore, we will have the same number of Mondays and Wednesdays if the first day is either Monday, Thursday or Friday. Making 3 possible days
Step-by-step explanation:
Given that there are 31 days in the month.
And there are equal number of Mondays and Wednesdays within a 7 day bracket.
30 - 4(7) = 3days
After four weeks we are left with three days.
So, if the first day is;
Monday - we will have 5 Mondays and Wednesdays each
Tuesday - we have more Wednesday
Wednesday - we will have more Wednesday
Thursday - we will have 4 Mondays and Wednesdays each
Friday - we will have 4 Mondays and Wednesdays each
Saturday - we will have more Monday
Sunday - we will have more Monday
Therefore, we will have the same number of Mondays and Wednesdays if the first day is either Monday, Thursday or Friday. Making 3 possible days
Y=-2 is a horizontal line, each point which lies on this line has the y-coordinate -2.
Only in option C both points have the y-coordinate equal to -2.
The answer is C.
