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shutvik [7]
3 years ago
15

The perimeter of a rectangle below is 60 units. Find the length of side PQ

Mathematics
2 answers:
mixas84 [53]3 years ago
5 0
The answer is 17 units
erica [24]3 years ago
4 0

Answer:

17 units

Step-by-step explanation:

2{(2x + 3) + (3x + 2)} = 60

5x + 5= 60/2

5x + 5 = 30

5x = 30 - 5

5x = 25

x = 25/ 5

x = 5 units

PQ = 3x + 2 = 3*5+ 2 = 15 + 2 = 17 units

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Find the smallest integer n for an O(xn) estimate of order of the function f(x)
alexdok [17]

Answer with explanation:

f(x)=\frac{(x^3+x^2+5)(x^4-3x^2)}{(2x^2+2x-3)(4x^2+7)}\\\\f(x)=\frac{x^3\times (x^4-3x^2)+x^2 \times (x^4-3x^2)+5 \times (x^4-3x^2)}{2x^2\times (4x^2+7)+2x(4x^2+7)-3\times (4x^2+7)}\\\\f(x)=\frac{x^7-3x^5+x^6-3x^4+5x^4-15x^2}{8x^4+14x^2+8x^3+14 x-12x^2-21}\\\\f(x)=\frac{x^7+x^6-3x^5+2x^4-15x^2}{8x^4+8x^3+2x^2+14 x-21}

The largest degree of numerator is 7 , while the largest degree of denominator is 4.So, as we know

 \frac{x^a}{x^b}=x^{a-b}\\\\\frac{x^7}{x^4}=x^{7-4}\\\\=x^3

→So, order of the function is the highest degree in the function raised to power.Highest degree is 3,when you will reduce the function in Expression form.

So, Degree=3

Order=1

6 0
3 years ago
Can someone help me I'm doing my packet and the quest is hard
CaHeK987 [17]
The answer would be y=-3/4x-3
5 0
2 years ago
A)231*12 531*23 505*11 402*44 b) 516*25 893*72 860*91 c) 413*25 120*518 119*98 7*00*125 d) 7800*8600 980*37000 1860*890 5800*470
Allushta [10]

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5 0
2 years ago
A city has a population of 230,000 people. Suppose that each year the population grows by 8.5%. What will the population be afte
worty [1.4K]

Answer:

720,682.92

Step-by-step explanation:

8.5% = 0.085

P(t) = Initial Population * (1 + rate)t

P(t) = 230,000(1 + 0.085)t

P(t) = 230,000(1.085)t

P(14) = 230,000(1.085)14

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6 0
2 years ago
find the slope between each pair of points please help with these three questions and i’ll mark the brain thing !
madam [21]

(If It's a number like this: 8/9 then it's a fraction)

Answer:

<h2><em><u>9. -2/6</u></em></h2><h2><em><u>10. -6/-10</u></em></h2><h2><em><u>11. 3/4</u></em></h2>

Step-by-step explanation:

Yay, I love doing these!

9.} 6 - 8 and 4- -2= -2/6

10.} 3 - 9 and -1 - 9= -6/-10

11.} -1 - -7 and 5 - -3= 6/8 simplify it by 2= 3/4

5 0
3 years ago
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