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3 years ago

Factorise 84xy+196x-36y-84

Mathematics

1 answer:

LenaWriter [7]3 years ago

4 0

Hi,

84xy+196x-36y-84

4(21xy+49x-9y-21)

4(7x × (3y+7)-9y-21)

4(7x × (3y+7)-3(3y+7)

4(3y+7)×(7x-3)

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There are 20 alligators in the swamp. Each year, the number of alligators increases by 25%. There are 25 crocodiles in the swamp

Genrish500 [490]

A)

A=20(1.25^t)

C=25+10t

b)

A(4)=20(1.25^4)≈48.82≈49 alligators to nearest whole alligator

C(4)=25+10(4)=65 crocodiles.

c)

20(1.25^t)=25+10t

1.25^t=1.25+0.5t

t≈7

4 0

3 years ago

Can someone help on this one because i don’t know if i’m correct

34kurt

Answer:

Yes its C

Step-by-step explanation:

First off the y intercepts + 3 and the line hits it not -3 so option D is out

Also the slope is negative so Option A and B are out

6 0

3 years ago

The product of 5 and the cube of x, increase by the difference of 6 and x3

lawyer [7]

Answer:

$4x^{3} +6$

Step-by-step explanation:

The product of 5 and the cube of x

$5*x^3\\\\=5x^3$

the difference of 6 and x^3

$6-x^3$

I understand as increase as sum so

$(5x^3)+(6-x^3)\\\\5x^3+6-x^3\\\\(5-1)x^3+6\\\\4x^3+6$

5 0

3 years ago

In circle G with m \angle FGH= 86m∠FGH=86 and FG=16FG=16 units, find the length of arc FH. Round to the nearest hundredth.

Igoryamba

Answer:

13.96

Step-by-step explanation:

50/ 360 (2π16)

7 0

2 years ago

The distance from the ground of a person riding on a Ferris wheel can be modeled by the equation d equals 20 times the sine of t

kodGreya [7K]

We have the function d, representing the distance from the ground of a person riding on a Ferris wheel:

$d(t)=20\sin (\frac{\pi}{30}t)+10$

If we consider the position of the person at t = 0, which is:

$d(0)=20\sin (\frac{\pi}{30}\cdot0)+10=20\cdot0+10=10$

This position, for t = 0, will be the same position as when the argument of the sine function is equal to 2π, which is equivalent to one cycle of the wheel. Then, we can find the value of t:

$\begin{gathered} \sin (\frac{\pi}{30}t)=\sin (2\pi) \\ \frac{\pi}{30}\cdot t=2\pi \\ t=2\pi\cdot\frac{30}{\pi} \\ t=60 \end{gathered}$

Then, the wheel will repeat its position after t = 60 seconds.

Answer: 60 seconds.

7 0

1 year ago