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inna [77]
2 years ago
7

What is the range of the function f(x) = 4 − 2(x + 3)^2?

Mathematics
1 answer:
mash [69]2 years ago
4 0

Answer:

(-infinity, 4]

Step-by-step explanation:

The range is the possible y values

The smallest that (x+3)^2 can be is zero

f(x) = 4 − 2(x + 3)^2

f(x) = 4 -2(0) = 4

This is the maximum value

As the square term gets bigger we are subtracting a larger amount and it will get more negative

Let x = infinity, x+3 = infinity and infinity ^2 = infinity  and 2* infinity = infinity

f(x) = 4 - infinity

     = -infinity

The range is -infinity to 4

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Four students equally share 1\4 poud of peanuts.How of a pound of peanuts did each student get?
posledela

Answer:1/16

Step-by-step explanation:1/4= .25

Divide .25 by 4( for the four students) = .0625

.0625 is equivalent to 1/16

4 0
2 years ago
Reabilwe is conducting an experiment in which the temperature is measured carefully. The temperature was 106°C at the end of the
frosja888 [35]

The formula to calculate the temperature (T) after m minutes is -

T = 106 - 6m

We have Reabilwe who is conducting an experiment in which the temperature is measured carefully. The temperature was 106°C at the end of the first minute, and then it falls by 6°C every minute after that.

We have to tp determine a formula to calculate the temperature (T) after m minutes.

<h3 /><h3>Starting from x, if the bacteria count rises by 5 every second, then determine the formula to calculate the bacteria count after 30 seconds.</h3>

Initial count = x

Count increasing per second = 5

Assume that the bacteria count after t seconds is y. Then -

y = x + 5t

for t = 30 ↔ y = 150 + x

According to question, we have -

Initial Temperature = 106 degrees Celsius

Temperature increase per minute = 6 degrees Celsius

Assume that the Temperature fall after m minutes is T. Then -

T = 106 - 6m

Hence, formula to calculate the temperature (T) after m minutes is -

T = 106 - 6m

To solve more questions on Equation Modelling, visit the link below -

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5 0
1 year ago
X - 5 &gt; -10. give the solution
expeople1 [14]
X > -10 + 5
bring the five to the other side of the equation and change the sign in front
x > -5

5 0
2 years ago
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Compute the missing data in the table for the following exponential function
kramer

Answer:

d. 1

Step-by-step explanation:

The base for this "exponential" function is sufficiently close to 1 that the function looks linear. The value corresponding to x=0 seems to be 1.00. Rounded to tenths, it is 1.0.

3 0
3 years ago
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An asteroid follows a hyperbolic path defined by the equation 16x2 − 9y2 = 576. If one of its foci is the sun's position, the mi
amid [387]
The minimum distance between the asteroid and the sun is 10 - 6 =4


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;

Compare with above mention equation
Here

The distance between the asteroid and the sun is seen by figure -1
or
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The minimum distance between the asteroid and the sun is 10 -6 =4
4 0
3 years ago
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