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Charra [1.4K]
2 years ago
5

Describe the transformations applied to #y=x²# to obtain the graph of #y=-(x+3)²-2#?

Mathematics
1 answer:
lord [1]2 years ago
6 0
The graph of y=-(x+3)²-2 is the graph of <span>y=x² transformed in the following way:
- first reflected about the x-axis
- translated 3 units left
- translated 2 units down.
The last two steps can come in any order.
</span>
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a student measured the temperature in degrees celsius for several winter days and recorded the data in a list find the average o
NemiM [27]

Answer:

Average = -1°C

Step-by-step explanation:

The data recorded is;

6, -7, -5, 5, -8, 3 (in °C)

Average = \frac{6 - 7 - 5 + 5 - 8 + 3}{6} = -1°C

8 0
2 years ago
Read 2 more answers
A local board of education conducted a survey of residents in the community concerning a property tax levy on the coming local b
IrinaK [193]

Answer:

a. [ 0.454,0.51]

b. 599.472 ~ 600

Step-by-step explanation:

a)

Confidence Interval For Proportion

CI = p ± Z a/2 Sqrt(p*(1-p)/n)))

x = Mean

n = Sample Size

a = 1 - (Confidence Level/100)

Za/2 = Z-table value

CI = Confidence Interval

Mean(x)=410

Sample Size(n)=850

Sample proportion = x/n =0.482

Confidence Interval = [ 0.482 ±Z a/2 ( Sqrt ( 0.482*0.518) /850)]

= [ 0.482 - 1.645* Sqrt(0) , 0.482 + 1.65* Sqrt(0) ]

= [ 0.454,0.51]

b)

Compute Sample Size ( n ) = n=(Z/E)^2*p*(1-p)

Z a/2 at 0.05 is = 1.96

Samle Proportion = 0.482

ME = 0.04

n = ( 1.96 / 0.04 )^2 * 0.482*0.518

= 599.472 ~ 600

8 0
3 years ago
Factor over the complex numbers, if possible: x² + 2xyi - y2<br><br> What is the answer?
yanalaym [24]

9514 1404 393

Answer:

  (x +yi)²

Step-by-step explanation:

Comparing the given expression to the square of a binomial, we can determine the given expression to be a square.

  (a +b)² = a² +2ab +b²

Here, we have a=x and b=yi. Then the factorization is ...

  x² +2xyi +(yi)² = (x +yi)²

8 0
3 years ago
If two boxes of cereal and a jug of milk cost $8.50, and three boxes of cereal and two jugs of milk cost $14.00, how much does a
Citrus2011 [14]

Answer:

$3

Step-by-step explanation:

Let c represent the cost of a box of cereal and let m represent the cost of a jug of milk.

Create a system of equations:

2c + m = 8.5

3c + 2m = 14

Solve by elimination by multiplying the top equation by -2:

-4c - 2m = -17

3c + 2m = 14

Add them together and solve for c:

-c = -3

c = 3

So, a box of cereal costs $3

3 0
2 years ago
CAN SOME ONE HELP ME ITS URGENT
aniked [119]

As we can observe from given information,

  • UT = ST

  • 2x + 5 = x + 12

  • 2x - x = 12 - 5

  • x = 7

now, let's solve for y

  • RU = RS

  • y - 4 = x + 5

  • y - 4 = 7 + 5

  • y = 12 + 4

  • y = 16

hope it helped...

5 0
3 years ago
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