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gregori [183]
3 years ago
8

Show all your work to find the axis of symmetry of f(x) = −2(x − 4)^2 + 2.

Mathematics
1 answer:
Naya [18.7K]3 years ago
6 0

Answer:

-2(x^2+15)

Step-by-step explanation:

f(x) = −2(x − 4)^2 + 2.

Expanding (x-4)^2

(x-4)(x+4)

x(x+4)-4(x+4)

x^2+4x-4x-16

x^2-16

F(x) = -2(x^2-16)+2

-2x^2-32+2

-2x^2-30

-2(x^2+15)

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An Internet and cable-television supplier surveyed a random sample of their customers. The results are shown in the table. A 4-c
Kaylis [27]

Answer:

d. About one-fourth of the cable-television customers are not satisfied.

Step-by-step explanation:

There are 3,141 customers in total, of which 2,032 are internet customers and 1,109 are cable customers.

There are 2,644 satisfied customers, of which 1,820 are internet customers and 824 are cable customers.

There are 497 not satisfied customers, of which 212 are internet customers and 285 are cable customers.

Which statement about the two-way frequency table is true?

a. The survey represents quantitative data.

It is the satisfaction of the customers with the service provided, so it is qualitative data.

b. There is a greater percentage of Internet customers who are not satisfied than cable television customers who are not satisfied.

There are 2,032 internet customers, of which 212 are not satisfied. So 212/2,032 = 10.42% of internet customers are not satisfied.

There are 1,109 cable customers, of which 285 are not satisfied. So 285/1,109 = 25.70% of cable customers are not satisfied.

This statement is not true.

c. About half of the video customers surveyed are cable-television customers.

Of the 3,141 customers surveyed, 1,109 are cable customers. This is 1109/3141 = 35.31%.

This statement is not true.

d. About one-fourth of the cable-television customers are not satisfied.

There are 1,109 cable customers, of which 285 are not satisfied. So 285/1,109 = 25.70% of cable customers are not satisfied.

This is the true statement.

3 0
3 years ago
Read 2 more answers
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SCORPION-xisa [38]

Answer:

Step-by-step explanation:

x = 72°

y = 61°

8 0
3 years ago
Which equation goes with the table?​
Andreyy89

Answer:

y=3x that is the answer

7 0
3 years ago
A line intersects the points (3,-4) and
MrRa [10]

Answer:

y = - 3x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁  )

with (x₁, y₁ ) = (3, - 4) and (x₂, y₂ ) = (1, 2)

m = \frac{2+4}{1-3} = \frac{6}{-2} = - 3, thus

y = - 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, 2), then

2 = - 3 + c ⇒ c = 2 + 3 = 5

y = - 3x + 5 ← equation of line

5 0
3 years ago
A fruit juice company includes 1.406 ounces of pineapple juice in a 6.45-ounce bottle of a mixed fruit juice. How much of the bo
Gnesinka [82]

Answer: 5.044 0z is not pineapple juice

Step-by-step explanation:

total amount of mixed fruit juice: 6.45 oz (oz stands for ounce)

pineapple juice: 1.406 oz

total - pineapple juice=not pineapple juice

6.45 - 1.406=5.044 oz

Hope this helps!! :)

Please let me know if you have any questions

5 0
4 years ago
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