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Irina18 [472]
2 years ago
11

Write equation in Vertex Form with a Vertex of (5,-2)

Mathematics
1 answer:
Talja [164]2 years ago
8 0

Answer: h = 2

k = -5

y = a(x - h)2 + k

y = a(x - 2)2 - 5

Use the given point to find a.

-8 = a(5 - 2)2 - 5

-8 = 9a - 5

a = -1/3

y = (-1/3)(x - 2)2 - 5

Step-by-step explanation:

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A city has a population of 230,000 people. Suppose that each year the population grows by 9%. What will the population be after
zloy xaker [14]

<u>Answer:</u>

<h2><u>385,733</u></h2>

Step-by-step explanation:

If it grows by 9% each year, you can simply do the current population times 109%. Because its an additional 9%.

230,000*109% = 250,700

After the first year, there is a population of 250,700 people.

250,700*109% = 273,263

After the second year, there is a population of 273,263 people.

273,263*109% = 297,856.67

After the third year, there is a population of 297,856.67 people.

297,856.67*109% = 324,663.77

After the fourth year, there is a population of 324,663.77 people.

324,663.77*109% = 353,883.509

After the fifth year, there is a population of 353,883.509 people.

353,883.509*109% = 385,733.025

After the sixth year, there is a population of 385,733.025 people

Round it up to 385,733 people.

7 0
3 years ago
A pattern follows the rule "Starting with three, every consecutive line has 2 less than twice the previous line."
SVEN [57.7K]
"Starting with three, every consecutive line has 2 less than twice the previous line."

this statement means that
your staring line has 3 marbles. You multiply the 3 marblesby 2 so
3x2=6
And then you minus it by 2
6-2=4

which means that you'll get 4 marbles for the next line.

So to get your 6th line, you count how many marbles is on the 5th line but since your diagram doesn't have the 5th line you have to figure out the 5th line by counting how.many marbles is on the 4th line.

4th line = 10 marbles

10×2=20
20-2=18

5th line = 18

18×2=36
36-2=34

So the 6th line has 34 marbles.
8 0
3 years ago
Write and solve an equation based off the verbal phrase. 10 less than half a number is 27
Naily [24]
Do 27 - 10 = 17∠ 10 
Your welcome
3 0
3 years ago
There are 6 rectangular flower gardens each measuring 18 feet by 17 feet in a rectangular city park measuring 80 feet by 160 fee
Aneli [31]

The area which is not in used for the flower gardens is 10964 sq ft.

Step-by-step explanation:

Given,

Length (l) of the rectangular park = 160 ft

Width (b) of the rectangular park = 80 ft

Length (l) of each rectangular flower garden = 18 ft

Width (b) of each rectangular flower garden = 17 ft

To find the area which is not in used.

Formula

The area of rectangle = l×b

Now,

The area of the rectangular park = 160×80 sq ft = 12800 sq ft

The area of each rectangular flower garden = 18×17 sq ft = 306 sq ft

The area of 6 rectangular flower garden =  306×6 sq ft = 1836 sq ft

So,

The area which is not in used = 12800-1836 sq ft = 10964 sq ft.

4 0
3 years ago
A lawn in the shape of a trapezoid has an area of 1,800 square meters. One base measures 50 meters. The other base measures 40 m
LiRa [457]

Answer: 2000

Step-by-step explanation:

40*50

8 0
3 years ago
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