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3 years ago

Tell whether the following is geometric or not, if geometric find r

Mathematics

1 answer:

fiasKO [112]3 years ago

8 0

Answer:

yes
r = - 3

Step-by-step explanation:

We observe each term is -3 times the previous one.

<u>The sequence is geometric and the common ratio is:</u>

r = - 3

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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

astra-53 [7]

Answer:

$3\pi \rightarrow y=2\cos \dfrac{2x}{3}\\ \\\dfrac{2\pi }{3}\rightarrow y=6\sin 3x\\ \\\dfrac{\pi }{3}\rightarrow y=-3\tan 3x\\ \\10\pi \rightarrow y=-\dfrac{2}{3}\sec \dfrac{x}{5}$

Step-by-step explanation:

The period of the functions $y=a\cos(bx+c)$ , $y=a\sin(bx+c)$ , $y=a\sec (bx+c)$ or $y=a\csc(bx+c)$ can be calculated as

$T=\dfrac{2\pi}{b}$

The period of the functions $y=a\tan(bx+c)$ or $y=a\cot(bx+c)$ can be calculated as

$T=\dfrac{\pi}{b}$

A. The period of the function $y=-3\tan 3x$ is

$T=\dfrac{\pi}{3}$

B. The period of the function $y=6\sin 3x$ is

$T=\dfrac{2\pi}{3}$

C. The period of the function $y=-4\cot \dfrac{x}{4}$ is

$T=\dfrac{\pi}{\frac{1}{4}}=4\pi$

D. The period of the function $y=2\cos \dfrac{2x}{3}$ is

$T=\dfrac{2\pi}{\frac{2}{3}}=3\pi$

E. The period of the function $y=-\dfrac{2}{3}\sec \dfrac{x}{5}$ is

$T=\dfrac{2\pi}{\frac{1}{5}}=10\pi$

5 0

3 years ago

The function f(x) = 32,000(.723)x models the value of the car after x years. What is the percent change?

Zielflug [23.3K]

.723 is the percentage change, just move the decimal over 2 places. 72.3%

6 0

3 years ago

Factor the following polynomial completely.<br><br> 6x^5-30x^4-84x^3

Lerok [7]

6x^5 - 30x^4 - 84x^3

we can factor out 6x^3

6x^3(x^2 - 5x - 14)

Also, we can factor x - 7 and x + 2 out of x^2 - 5x - 14

The final answer = 6x^3(x - 7)(x + 2)

6 0

3 years ago

Lena and three of her friends bought just enough food so they could go for a 12-day camping trip. Pete and Jane surprised them b

blagie [28]

Answer:

33.3%

Step-by-step explanation:

The number of people that must be fed has increased from 4 to 6, so is 6/4 = 3/2 as many as planned.

Assuming the additional people eat the food at the same rate as the original people, the time and number of people are assumed to be inversely proportional. That is, the time the food will last is 2/3 of the originally expected time. It has decreased by 1/3 × 100% = 33.3%.

___

If you like, you can count rations. For four people for 12 days, at 3 rations per person per day, a total of 144 rations are needed. When the number of people becomes 6, the number of days that will last is ,,,

(144 rations)/(6 persons)/(3 rations/person/day) = 8 days

The percentage change in trip days is ...

(8 -12)/12 × 100% = -4/12 × 100% = -33.3% . . . a decrease of 33.3%

3 0

3 years ago

Find the product of 3 and 2y-4x=8

salantis [7]

Answer:

Step-by-step explanation:

3 * (2y - 4x) = 8

6y - 12x = 8

divide by 2 throughout

3y - 6x = 4

-6x + 3y -4 = 0

6 0

4 years ago