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Kazeer [188]
2 years ago
9

Please help with this

Mathematics
1 answer:
11Alexandr11 [23.1K]2 years ago
4 0
The answer is

4x^4-4x^3-16x^2+16x
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Paul is two years younger than Patricia. Daniel is 25% older than Patricia. Ten years ago, Daniel was 50% older than Patricia. H
Sergeeva-Olga [200]

We have 3 people: Paul, Daniel and Patricia. Let each name denote that person’s current age in years. Remember that % is the symbol for 1/100.


PAUL: (#A) Paul = Patricia – 2
DANIEL: 
(#B) Daniel = 125% * Patricia = 125 * (1/100) * Patricia = 1.25 * Patricia
(#C) Ten years ago, Daniel’s age at that time would have been Daniel’s current age – 10. IE “Daniel – 10”.
Ten years ago, Patricia’s age at that time would have been Patricia’s current age – 10. IE “Patricia – 10”. 
Ten years ago, Daniel’s age at that time (IE Daniel – 10) was 50% greater than Patricia’s age at the time (Patricia – 10). 
IE 

Daniel – 10 = 150% * (Patricia – 10)
Daniel – 10 = 1.50 * (Patricia – 10)
Daniel – 10 = 1.50 * Patricia – 1.50 * 10
Daniel – 10 = 1.50 * Patricia – 15
Daniel = 1.50 * Patricia – 15 + 10
Daniel = 1.50 * Patricia – 5


So now we have 3 equations in 3 unknowns:
(A) Paul = Patricia – 2
(B) Daniel = 1.25 * Patricia
(C) Daniel = 1.50 * Patricia – 5


Solve equations B & C simultaneously
 1.25 * Patricia = 1.50 * Patricia – 5
 1.25 * Patricia – 1.50 * Patricia = – 5
– 0.25 * Patricia = – 5
 Patricia = (– 5) / (– 0.25) 
Patricia = + 20

So now we can write the 3 people’s ages:
(a) Patricia = 20
(b) Paul = Patricia – 2 = 20 – 2 = 18
(c) Daniel = 1.25 * Patricia = 1.25 * 20 = 25

<span>
</span>

<span>Finally, we check our solution against the original question. </span>
Paul is two years younger than Patricia. ……… 20 – 2 = 18 ✔
Daniel is 25% older than Patricia. ……… 25 = 125% * 20 ✔
Ten years ago, Daniel was 50% older than Patricia. 25 – 10 = 150% (20– 10) ✔


Hope that helped :)

5 0
3 years ago
Find the equation of the line that contains the point (3,9) and is parallel to the line y=4x+1. Write the line in slope-intercep
Aleksandr-060686 [28]
Y = 4x + 1....slope here is 4. A parallel line will have the same slope

y = mx + b
slope(m) = 4
(3,9)...x = 3 and y = 9
now we sub and find b, the y int
9 = 4(3) + b
9 = 12 + b
9 - 12 = b
-3 = b

so ur parallel equation is : y = 4x - 3
5 0
3 years ago
2p-1<br>make p the subject​
jok3333 [9.3K]

Answer:

2p-1/p

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Write the equation of the line given a slope of 0 through the point (5, -7)
wlad13 [49]

Answer:

y=-7

Step-by-step explanation:

y-y1=m(x-x1)

y-(-7)=0(x-5)

y+7=0

y=0-7=-7

6 0
2 years ago
You have a function that takes in an X value and produces a Y value. The y value equals 24 times the x value, plus 4 more. What'
AlekseyPX

Answer:

They "y" value = (4 * 24) + 4 which equals

100

Step-by-step explanation:

7 0
2 years ago
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