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Pachacha [2.7K]
3 years ago
13

Fill in the blanks so the left side is a perfect square trinomial. That is, complete the square. x 2 + 11 x +

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
6 0

Answer:

28

Step-by-step explanation:

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The wildflowers at a national park have been decreasing in numbers. There were 300 wildflowers in the first year that the park s
Scorpion4ik [409]
Although the number of new wildflowers is decreasing, the total number of flowers is increasing every year (assuming flowers aren't dying or otherwise being removed). Every year, 25% of the number of new flowers from the previous year are added.
The sigma notation would be:
∑ (from n=1 to ∞) 4800 * (1/4)ⁿ , where n is the year. 
Remember that this notation should give us the sum of all new flowers from year 1 to infinite, and the values of new flowers for each year should match those given in the table for years 1, 2, and 3
This means the total number of flowers equals:
Year 1: 4800 * 1/4 = 1200 ]
+
Year 2: 4800 * (1/4)² = 300
+ 
Year 3: 4800 * (1/4)³ = 75
+  
Year 4: 4800 * (1/4)⁴ = 18.75 = ~19 (we can't have a part of a flower)
+
Year 5: 4800 * (1/4)⁵ = 4.68 = ~ 5
+ 
Year 6: 4800 * (1/4)⁶ = 1.17 = ~1
And so on. As you can see, it in the years that follow the number of flowers added approaches zero. Thus, we can approximate the infinite sum of new flowers using just Years 1-6:
1200 + 300 + 75 + 19 + 5 + 1 = 1,600

8 0
3 years ago
A line that has a slope of 1/2 and passes through the point (-4,7)
Doss [256]

Answer:

y= ½x+9

Step-by-step explanation:

Use desmos makes it easier

7 0
3 years ago
Donata bought 4 lemons and 4 plums at the local supermarket for a total of $ 21.60. Dan bought 11 lemons and 6 plums at the same
VashaNatasha [74]
  1. you must establish a equation system  with the information given , 4x numbers of limon , where x represent the cost of every lemon and 4y numbers of plums , where y represents the cost of plums
  2. now  the equation system is 1) 4x+ 4y = 21,60 and 2) 11x+ 6y = 40.29
  3. of the equation 1 you must obtain the value of x, 4x = 21.60+4y ⇒x=21.60/4+4y/4⇒x= 5.4+y
  4. now with the value of x , it is substitute in the equation 2)   11(5.4+y) + 6y = 40.29 , ⇒ 59.4 + 11y + 6y = 40.29 ⇒  17y = 40.29-59.4⇒ y = -19,11/7⇒ y = -2.73
  5. the value of y is substitute in the equation 1) x = 5.4 + ( -2,73)⇒ x= 2,67,  where ,the price of every lemon is $ 2,67
6 0
3 years ago
Y-intercept: (0,<br> y=-2x2 – 16x – 34<br> What is the y intercept?
tekilochka [14]

Answer: Solve for Y

y = -16x - 38

And then y intercept is

(0, -38)

Step-by-step explanation:

8 0
2 years ago
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There are 9 apples.there are 6 fewer apples than oranges.how oranges are there
serious [3.7K]

Answer:

2

Step-by-step explanation

Either your 5, your just trying brain.ly out, or your trolling don't care either way

8 0
3 years ago
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