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ikadub [295]
3 years ago
14

The functions f(x) = (x + 1)2 − 2 and g(x) = -(x − 2)2 + 1 have been rewritten using the completing-the-square method. Is the ve

rtex for each function a minimum or a maximum? Explain your reasoning for each function
Mathematics
1 answer:
Ksenya-84 [330]3 years ago
7 0

Answer:

The negative outside the parentheses indicates that the vertex is a maximum

f(x) has a minimum vertex

g(x) has a maximum

Step-by-step explanation:

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Someone help me please
Alika [10]

Answer:

x = 58°

Step-by-step explanation:

The sum of the angles in Δ AHI = 180 , then

∠ AIH = 180° - (66 + 56)° = 180° - 122° = 58°

x and ∠ AIH are corresponding and are congruent , then

x = 58°

7 0
3 years ago
An 8-foot ramp needs to be elevated at an angle measuring 10° to be level with a step. Approximately how far
emmainna [20.7K]

Answer:

Approximately 7.9 feet.

Step-by-step explanation:

cos 10 = x / 8     where x is the required distance.

x = 8 cos 10

= 7.878 feet.

3 0
3 years ago
Which weights are within 2 standard deviations of the mean? select three options. 8.4 lbs 8.9 lbs 9.5 lbs 10.4 lbs 10.9 lbs
djverab [1.8K]

The weights are within 2 standard deviations of the mean are 8.9 lbs, 9.5 lbs and 10.4 lbs

<h3>How to determine the weights?</h3>

The given parameters are:

  • Mean, μ = 9.5
  • Standard deviation, σ = 0.5

The weights within 2 standard deviation is represented as:

μ - 2σ ≤ x ≤ μ + 2σ

Substitute known values

9.5 - 2(0.5) ≤ x ≤ 9.5 + 2(0.5)

Evaluate the product

9.5 - 1 ≤ x ≤ 9.5 + 1

Evaluate the sum

8.5 ≤ x ≤ 10.5

This means that the weights are between 8.5 and 10.5 (inclusive)

Hence, the weights are within 2 standard deviations of the mean are 8.9 lbs, 9.5 lbs and 10.4 lbs

Read more about standard deviation at:

brainly.com/question/11743583

5 0
2 years ago
Help lol! the explanation is on the bottom!!
Slav-nsk [51]

Answer:

1 =80

2 =100

3 =80

4 =100

6 = 100

7 =80

8 =100

Step-by-step explanation: since 5 and 7 are the same, if u slide the bottom up to the top, 1 and 3 would be the same as 5 and 7

2,4,6,and 8 are 180-80 which equals 100

3 0
3 years ago
Read 2 more answers
If b&gt;1 in a function of the form f(x) = ab^x, is the function an example of exponential growth or exponential decay?
alex41 [277]

Answer:

It's exponential growth.

Step-by-step explanation:

b/c any value of b that's greater than 1 is an exponential growth function, and anything that's 0<b<1 or if b<0, the function would be an exponential decay.

3 0
3 years ago
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