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ExtremeBDS [4]
2 years ago
15

Which is the graph of g(x) = (0.5)x + 3 – 4? On a coordinate plane, an exponential function decreases in quadrant 2 and has a ho

rizontal asymptote at y = negative 4. It crosses the y-axis at (0, negative 4). On a coordinate plane, an exponential function decreases in quadrant 2 and has a horizontal asymptote at y = 3. It crosses the y-axis at (0, 3). On a coordinate plane, an exponential function decreases in quadrant 2 and has a horizontal asymptote at y = negative 4. It crosses the y-axis at (0, 4). On a coordinate plane, an exponential function decreases in quadrant 2 and has a horizontal asymptote at y = 4. It crosses the y-axis at (0, 12).
Mathematics
2 answers:
natima [27]2 years ago
7 0

Answer: The correct answer is A.

i just did the quiz and put C but it is incorrect

hope this helps you :)

Mashcka [7]2 years ago
5 0

Answer:

The graph will be an exponential function that crosses the y-axis at about (0, -4).

Step-by-step explanation:

g(x) = (0.5)^{x + 3} - 4

That means that when x = 0...

g(0) = (0.5)^{0 + 3} - 4

g(0) = (0.5)^{3} - 4

g(0) = 0.125 - 4

g(0) = -3.875

So, the graph will be an exponential function that crosses the y-axis at about (0, -4).

Hope this helps!

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After traveling for 4 hours and 1800 miles, an airplane begins a steady descent. When it begins descending, its altitude (height
andrey2020 [161]

Answer:

Part 1)  Descending Rate = -2,000 ft/min

Part 2)  Starting altitude value is 33,000 ft

Part 3)  The linear equation for the plane's altitude (y) as a function of time (x) is:  y=-2000\,\frac{ft}{min} \,x\,+\,33000\,ft

Part 4)  The information not used for the equation is that the plane was travelling for 4 hours to cover 1800 miles before starting the descent

Step-by-step explanation:

Part 1)

The rate at which the airplane descends is given by the difference between final and initial altitude (17,000 ft-33,000 ft) divided the elapsed time (8 minutes):

Descending\,\,Rate\,= \frac{17000-33000}{8} \,\,\frac{ft}{min}=\frac{-16000}{8} \,\,\frac{ft}{min}=-\,2000\,\,\frac{ft}{min}

Part 2)

When graphing the descent (that is the plane's altitude as a function of time), the starting value for the altitude should be 33,000 ft

Part 3)

We can build the equation of the plane's altitude as a function of time in slope y-intercept form y = m x + b

by noticing that the slope "m" stands for the rate of descent that we found in part 1), and then using the information that at time zero (when the plane starts its descent), its altitude is 33000 ft:

y=m\,x\,+\,b\\y=-2000\,\frac{ft}{min} \,x\,+\,b\\33000=-2000\,\frac{ft}{min} \,(0)\,+\,b\\33000=b

with this information about the intercept "b", we can write the final expression for the plane's altitude as a function of time during its descent as:

y=-2000\,\frac{ft}{min} \,x\,+\,33000\,ft

Part 4)

The information that was not used to write the descent equation was the initial details about how long the plane traveled (4 hours) and for 1800 miles.

5 0
2 years ago
In circle Y, what is m∠SZT?
lara31 [8.8K]
We first solve for angle TZU which is determined by the formula:
mTZU = 0.5(arcTU + arcSR)
mTZU = 0.5(72°+100°) = 86°

By vertical angle, mTZU = mSZR = 86°

We note that the sum of all angles formed is 360°. Solving for the remaining angles:
360° - 86° - 86° = 188°

Since mSZT is equal to mRZU by vertical angle, we divide 188° by 2.
188°/2 = 94°

m∠SZT = 94°
4 0
2 years ago
Read 2 more answers
6. It took Juan 48 minutes to drive 12 miles, Calculate his speed in miles per hour,
GREYUIT [131]

Answer:

15 miles per hour

Step-by-step explanation:

First, lets find the number of miles he goes in 1 minutes.

That would be found by dividing the number of miles (12) by the number of minutes (48), so we have:

12/48 = 0.25 miles per minute

We want the speed in miles PER HOUR.

So, how many minutes are in an hour??

That is 60 mins = 1 hr

So, we need to multiply this by 60.So,

0.25 miles per minute * 60 minutes (1 hr) = 15 miles per hour

3 0
2 years ago
A prisoner is trapped in a cell containing three doors. The first door leads to a tunnel that returns him to his cell after two
Greeley [361]

Answer:

The expected number of days until the prisoner reaches freedom is 2.8.

Step-by-step explanation:

Door 1: 0.3 probability of being selected. Leads to his cell after two days' travel.

Door 2: 0.5 probability of being selected. Leads to his cell after four days' travel.

Door 3: 0.2 probability of being selected. Leads to his cell after one day of travel.

What is the expected number of days until the prisoner reaches freedom?

We multiply the probability of each door being used by the time that it leads to the cell. So

E = 0.3*2 + 0.5*4 + 0.2*1 = 2.8

The expected number of days until the prisoner reaches freedom is 2.8.

4 0
2 years ago
A Gallup poll conducted in November of 2011 asked the following question, “What would you say is the most urgent health problem
Sunny_sXe [5.5K]

Answer:

The answer is pretty complicated. The percent of obese Americans is over the top. But its really the amount of the people who actually are 18 plus in the District of Columbia.

Step-by-step explanation:

5 0
2 years ago
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