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3 years ago

State the domain and range for y=cos(-2x+180)+3

Mathematics

1 answer:

qwelly [4]3 years ago

4 0

Answer:

Domain: All real numbers

Range: $2\le x\le4$

Step-by-step explanation:

The given function is

$y=\cos(-2x+180\degree)+3$

The cosine function is continuous everywhere so the domain is all real numbers.

The range of the parent function $y=\cos(x)$

is $-1\le x\le 1$ .

The given function has been shifted up 3 units.

The range is

$-1+3\le x\le 1+3$ .

$2\le x\le 4$ .

See graph

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One package of raspberries cost 3$. how many packages of raspberries an you buy for 18$

Sphinxa [80]

Answer:

6 packages.

Step-by-step explanation:

If they are $3 each, and you only have $18, divide 18 by 3, which gives you 6.

8 0

2 years ago

Read 2 more answers

5) x-y+6; use x = 6, and y = 1

ankoles [38]

Answer:

-1

Step-by-step explanation:

substitute x for 6 and y for 1

which will be 6-1+6

using BODMAS

6-(1+6)

6-7= -1

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3 years ago

The approximate height, h, in meters, traveled by golf balls hit with two different clubs over a horizontal distance of d meters

inna [77]

Answer:

a) 100 metres

b) 10 metres

Step-by-step explanation:

Given: the approximate height, h, in meters, travelled by golf balls hit with two different clubs over a horizontal distance of d meters is given by the functions: $h=-0.002d^2+0.3d\,,\,h=-0.004d^2+0.5d$

To find: distances when the ball is at the same height when either of the clubs are used. Also, to find this height

Solution:

(a)

$-0.002d^2+0.3d=-0.004d^2+0.5d\\d(-0.002d+0.3)=d(-0.004d+0.5)\\-0.002d+0.004d=0.5-0.3\\0.002d=0.2\\d=\frac{0.2}{0.002}=100\,\,metres$

(b)

Put d = 100 in $h=-0.002d^2+0.3d$

$h=-0.002(100)^2+0.3(100)\\=-20+30\\=10\,\,metres$

4 0

3 years ago

Billy is playing a game using a bag with 11 marbles inside. The bag contains 3 red, 3 orange, 1 yellow, 2 purple marbles, and 2

Dmitrij [34]

Answer: 3/55

Step-by-step explanation:

From the information given, the bag contains 3 red, 3 orange, 1 yellow, 2 purple marbles, and 2 Pink marbles. Each time he picks an orange marble, she will win a prize.

If he picks a marble the first time, the probability of picking an orange marble will be 3/11. After that we will have 10 marbles left as one has been picked and have 2 orange marbles left, then the probability of picking another orange marble will be 2/10.

Therefore, the probability he will win a prize on both picks will be:

= 3/11 × 2/10

= 6/110

= 3/55

4 0

3 years ago

The next four digits in the number 0.3435363738394041 are

Vera_Pavlovna [14]

<h3>The pattern is 0.01+</h3>

<u>So the next 4 digits are:</u>

0.34353637383940414243

3 0

3 years ago