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Lelu [443]
2 years ago
12

If the instructions for a problem ask you to use the smallest possible domain to completely graph two periods of y = 5 + 3 cos 2

(x - pi divided by three), what should be used for Xmin and Xmax? Plz explain why because this question is seriously confising me.

Mathematics
1 answer:
erica [24]2 years ago
8 0
Hello,

y=5+3*cos (2(x-π/3))

The function is periodic with periode=2π.


-1<=cos (2(x-π/3))<=1
==>-1*3<=3*cos (2(x-π/3))<=3*1
==>5-3<=5+3cos(2(x-π/3))<=5+3
==>2<= y<=8


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The Ford Mustang can travel at a rate of 160 miles in 2 hours. The Toyota Corolla can travel at a rate of 210 miles in 3 hours.
Alexeev081 [22]

Answer:

The Ford Mustang can travel at a faster rate.

Step-by-step explanation:

160/2 = 80/1   miles/hour -Ford Mustang

210/3 = 70/1    miles/hour - Toyota Corolla

7 0
2 years ago
A) The ratio 20 minutes to 1 hour can be written in the form 1:n.
Fudgin [204]

Answer:

a) 1:3

b) 9:225,000

Step-by-step explanation:

A)

1 hour is equal to 60 minutes. Written as a fraction it would look like

\frac{20}{60} which would be equal to \frac{1}{3}, or 1:3

B)

Just multiply both sides of the ratio by 9, you will get 9:225,000

Hope I helped, please mark as brainliest! Have a good day!

7 0
2 years ago
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san4es73 [151]

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2 years ago
Four students wrote sequences during math class. Andre mc011-1.jpg Brenda mc011-2.jpg Camille mc011-3.jpg Doug mc011-4.jpg Which
maks197457 [2]
<span>A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

</span>The common ration is obtained by dividing the a term by the preceding term.

Given that f<span>our students wrote sequences during math class with
Andre writing -\frac{3}{4} ,\frac{3}{8} ,-\frac{3}{16} ,-\frac{3}{32} , . . .
Brenda writing </span>\frac{3}{4} ,-\frac{3}{8} ,\frac{3}{16} ,\frac{3}{32} , . . .
Camille writing \frac{3}{4} ,\frac{3}{8} ,-\frac{3}{16} ,-\frac{3}{32} , . . .
Doug writing \frac{3}{4} ,-\frac{3}{8} ,\frac{3}{16} ,-\frac{3}{32} , . . .

Notice that the common ratio for the four students is - \frac{1}{2}.

For Andre, the last term is wrong and hence his sequence is not a geometric sequence.
For Brenda, the last term is wrong and hence her sequence is not a geometric sequence.
For Camille, her sequence is not a geometric sequence.
For Doug, his sequence is a geometric sequence with a common ratio of - \frac{1}{2}.

Therefore, Doug wrote a geometric sequence.
8 0
2 years ago
Read 2 more answers
Jeff earned his pilot's license and flew to visit his brother 200 miles away. A headwind of 20 mph slowed down the plane's speed
lora16 [44]
<h2>Plane's speed without wind i s 117.68 mph</h2>

Step-by-step explanation:

We have speed of plane without wind is x.

Distance to brothers place = 200 miles.

A headwind of 20 mph slowed down the plane's speed on the first leg of the trip

Speed to brothers place = x - 20

We have

         Distance = Speed x Time

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A tailwind of 20 mph sped up the plane on the return trip

Speed of return trip = x + 20

We have

         Distance = Speed x Time

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The entire trip took 3.5 hours.

That is

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Plane's speed without wind i s 117.68 mph

7 0
2 years ago
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