2 years ago

Simplify to create an equivalent expression -y minus -3(-3y+5)

Mathematics

1 answer:

Gemiola [76]2 years ago

5 0

Answer:

8y-15

Step-by-step explanation:

-y-3(-3y+5)

-y+9y-15

8y-15

You might be interested in

List of 7 consecutive composite numbers less than 100.

Mumz [18]

Answer:

Step-by-step explanation:

any number that is not a prime number

8 0

2 years ago

Read 2 more answers

The spherical balloon is inflated at the rate of 10 m³/sec. Find the rate at which the surface area is increasing when the radiu

rjkz [21]

The balloon has a volume $V$ dependent on its radius $r$ :

$V(r)=\dfrac43\pi r^3$

Differentiating with respect to time $t$ gives

$\dfrac{\mathrm dV}{\mathrm dt}=4\pi r^2\dfrac{\mathrm dr}{\mathrm dt}$

If the volume is increasing at a rate of 10 cubic m/s, then at the moment the radius is 3 m, it is increasing at a rate of

$10\dfrac{\mathrm m^3}{\mathrm s}=4\pi (3\,\mathrm m)^2\dfrac{\mathrm dr}{\mathrm dt}\implies\dfrac{\mathrm dr}{\mathrm dt}=\dfrac5{18\pi}\dfrac{\rm m}{\rm s}$

The surface area of the balloon is

$S(r)=4\pi r^2$

and differentiating gives

$\dfrac{\mathrm dS}{\mathrm dt}=8\pi r\dfrac{\mathrm dr}{\mathrm dt}$

so that at the moment the radius is 3 m, its area is increasing at a rate of

$\dfrac{\mathrm dS}{\mathrm dt}=8\pi(3\,\mathrm m)\left(\dfrac5{18\pi}\dfrac{\rm m}{\rm s}\right)=\dfrac{20}3\dfrac{\mathrm m^2}{\rm s}$

4 0

2 years ago

Shelbi wants to run one lap around the track as fast as her friend Annabelle, who can run one lap in 1 minute and 10 seconds. Sh

Mamont248 [21]

23 rrrrrrrrrrrrrrrrrrrrrrrrrrrrr

4 0

3 years ago

Read 2 more answers

Which function is linear?

Mariulka [41]

Answer:

Step-by-step explanation:

7 0

2 years ago

Jackson has twice as many cards as his friends Alex and Chase combined. Alex has 55 Cards in his collection. Jackson Has 200 car

Zina [86]

Answer:

Step-by-step explanation:

200 divided by 2 = 100-55=45

8 0

3 years ago

Read 2 more answers