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Marat540 [252]
2 years ago
14

Bradley is returning home from a place that is 2 kilometers away. The function y = 2,000 − 90x represents Bradley's distance fro

m home in meters, y, in relation to the number of minutes he walks, x.
Which statements about this function are true?

The function is a linear function.
The function is a nonlinear function.
The function does not change at a constant rate.
The function is an increasing function.
The function changes at a co
Mathematics
1 answer:
12345 [234]2 years ago
6 0

Answer:

The function is linear

The function changes at a constant rate

Step-by-step explanation:

If this function were to be graphed, a line would be seen. It is not an increasing function because he is getting closer to home so the distance from his house is decreasing

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The graph of a sinusoidal function has a maximum point at (0,5)(0,5)left parenthesis, 0, comma, 5, right parenthesis and then ha
Ksivusya [100]

Answer:

sinusoidal functions have the standard form of Asin(Bx - C) + D

Where A is the amplitude, 2pi/B gives us our period, C gives us our horizontal shifts in the opposite direction of the sign (because it's inside the parenthesis), and D gives us our vertical shifts in the same direction as the sign of D (positive or negative).

The easiest part is assigning the amplitude which is 3 as stated in the problem. This means that all of the max/mins of the graph will be multiplied by a factor of 3. However, this could be a positive or negative 3 depending on other info in the problem. We'll come back to this in a second.

We know 2pi/B = 8 in our problem. Solving for B gives us B = pi/4.

Now we need to find the corresponding maximum and minimums for a sin/cos function with a period of 8 by taking x values 0, pi/2, pi, 3pi/2, and 2pi (these are all values where normal sin/cos functions are either at their max/min or zero) and then divide each by pi/4. This will give us our new max/mins for a function with period 8. These values are 0, 2, 4, 6, and 8.

Since 2 is a minimum, then we know that there are no horizontal shifts. So C = o

Now we need to figure out if this is a sin or cos graph. A normal cos graph has a value of 0 at x = pi/2 which corresponds x = 2 in our problem. Your problem says that x = 2 will give us a minimum value so this tells us that our function must be a sin graph, not a cos graph. However, a sin graph has a maximum at 2 (which is pi/2 in a normal sin graph) while your problem calls for a minimum. This means that the amplitude we found earlier of 3 must actually be a -3 (I told you we'd get back to this!). The negative sign flips all of the maximums to minimums and vice versa of the sinusoidal graph.

Ok, let's put together what we know so far. A = -3, B = pi/4, and C = 0. So f(x) = -3sin((pi/4)x) + d

......But what about D?

Well, your problem says that one minimum of the graph is (2,1). In a graph without vertical shifts, we would expect the minimum to be at (2,-3). The difference between -3 and 1 is 4. This means in order to get from -3 to 1 we have to shift upwards of 4 units. In other words, D = 4.

Answer: -3sin((pi/4)x) + 4

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Please answer! I’m desperate.
lara31 [8.8K]

Answer:

Hi! This is the answer for part C, or finding the factors.

Step-by-step explanation:

Checked by my teacher. hope this part helps. Will post the rest soon.

8 0
1 year ago
Read 2 more answers
Agent Hunt transferred classified files from the CIA mainframe onto his flash drive. The drive had some files on it before the t
topjm [15]

Answer:   The drive was 24.32% full when the transfer began.

 

Step-by-step explanation:

Given: The rate of transferring file = 4.44 megabytes per second.

After 32 seconds, the amount of data on the drive = 384 megabytes  

The amount of transferred data = 32\times4.4=140.8 megabytes  

Therefore, the amount of data in the drive at the beginning is given by :-

\text{Beginning amount=Amount after 32 seconds -Amount transferred}\\\\\Rightarrrow\ \text{Beginning amount=}384-140.8=243.2

The drive had a maximum capacity of 1000 megabytes.

\frac{243.2}{1000}\times100=24.32\%

Hence, the drive was 24.32% full when the transfer began.

4 0
1 year ago
Read 2 more answers
What is the product of (9) (negative 9) (negative 1)? –81 –1 1 81
butalik [34]

Answer:

Step-by-step explanation:

9 * -9 * -1 =

-81 * -1 =

81 <===

In multiplying (or dividing), if the signs are the same, the result is positive

if the signs are different, the result is negative

these rules do not apply to addition or subtraction

5 0
2 years ago
Read 2 more answers
Question 4 Unsaved Fifty-eight boys were asked if they play football and/or baseball. Thirty-one of them said they do not play b
strojnjashka [21]
The two-way table is attached.

There are 58 people.  31 do not play baseball; this means that 58-31=27 do play baseball.

16 people play football; this means 58-16=42 people do not play football.

20 people do not play football or baseball; 42-20 = 22 people play baseball but do not play football.

27-22=5 people play baseball and football.

16-5=11 people play football but do not play baseball.

5 0
2 years ago
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