Answer:
The values of p in the equation are 0 and 6
Step-by-step explanation:
First, you have to make the denominators the same. to do that, first factor 2p^2-7p-4 = \left(2p+1\right)\left(p-4\right)2p
2
−7p−4=(2p+1)(p−4)
So then the equation looks like:
\frac{p}{2p+1}-\frac{2p^2+5}{(2p+1)(p-4)}=-\frac{5}{p-4}
2p+1
p
−
(2p+1)(p−4)
2p
2
+5
=−
p−4
5
To make the denominators equal, multiply 2p+1 with p-4 and p-4 with 2p+1:
\frac{p^2-4p}{(2p+1)(p-4)}-\frac{2p^2+5}{(2p+1)(p-4)}=-\frac{10p+5}{(p-4)(2p+1)}
(2p+1)(p−4)
p
2
−4p
−
(2p+1)(p−4)
2p
2
+5
=−
(p−4)(2p+1)
10p+5
Since, this has an equal sign we 'get rid of' or 'forget' the denominator and only solve the numerator.
(p^2-4p)-(2p^2+5)=-(10p+5)(p
2
−4p)−(2p
2
+5)=−(10p+5)
Now, solve like a normal equation. Solve (p^2-4p)-(2p^2+5)(p
2
−4p)−(2p
2
+5) first:
(p^2-4p)-(2p^2+5)=-p^2-4p-5(p
2
−4p)−(2p
2
+5)=−p
2
−4p−5
-p^2-4p-5=-10p+5−p
2
−4p−5=−10p+5
Combine like terms:
-p^2-4p+0=-10p−p
2
−4p+0=−10p
-p^2+6p=0−p
2
+6p=0
Factor:
p=0, p=6p
Answer:
75.86 %
Step-by-step explanation:
75.86 %
Answer:
c
Step-by-step explanation:
bc blah blah blahhhhhhhhhhhhhhhhh and yessir
Answer:
(a)
(b) 7.5ft above the low tide.
Step-by-step explanation:
(a) To find the function that computes the height of the tide, you need to select the form of the sinusoidal function. For example, use the form:
Where A is the amplitude, B the frequency, C the phase shift and D the vertical shift.
The amplitude is half the distance between the highest and the lowest tide:
The frequency is related to the period T by:
The period is 12 hours, then
The high tide is at 1:00 a.m. and 1:00 p.m. , this is the moment when 
, if 
then 
must be equal to 
when 
:
The vertical shift is the sum of the lowest value, the height of the low tide (
) and the amplitude:
The function is:
Because the function must be the height above low tide height, subtract this heigh from the function:
(b) Use x=11 in the function
above the low tide.
Total yards if fabric /fabric needed to make an elf costume
therefore 16 1/5 ÷ 5 2/5
=3
so Barney can make 3 costumes out of 16 1/5 yards of fabric
