Ask question

Ask question

All categories

3 years ago

12

2. Solve this: f(x) = 2x^2 + 5x - 12

1 answer:

MAVERICK [17]3 years ago

7 0

A n s w e r:

(x+4)(2x−3)

You might be interested in

I need help with these 3 problems plz explain!:)

steposvetlana [31]

14.
4(5.6) = 4(6.0 - 0.4) = 4(6.0) - 4(0.4) = 22.4

16.
4(6 + 7) = 4(6) + 4(7) = 52

18.
14(10 - 5) = 14(10) - 14(5) = 70

4 0

3 years ago

Solve.<br> –51/2 + 63/4 + (-41/4)

VladimirAG [237]

Answer:

-20

Step-by-step explanation:

cause i did the math hope this helped :D

7 0

3 years ago

Read 2 more answers

Which number completes the square?<br> 2x^2 - 12x +

Fofino [41]

67-x-20 hope this helped!!

7 0

2 years ago

A right circular cylinder is inscribed in a sphere with diameter 4cm as shown. If the cylinder is open at both ends, find the la

SOVA2 [1]

Answer:

$8\pi\text{ square cm}$

Step-by-step explanation:

Since, we know that,

The surface area of a cylinder having both ends in both sides,

$S=2\pi rh$

Where,

r = radius,

h = height,

Given,

Diameter of the sphere = 4 cm,

So, by using Pythagoras theorem,

$4^2 = (2r)^2 + h^2$ ( see in the below diagram ),

$16 = 4r^2 + h^2$

$16 - 4r^2 = h^2$

$\implies h=\sqrt{16-4r^2}$

Thus, the surface area of the cylinder,

$S=2\pi r(\sqrt{16-4r^2})$

Differentiating with respect to r,

$\frac{dS}{dr}=2\pi(r\times \frac{1}{2\sqrt{16-4r^2}}\times -8r + \sqrt{16-4r^2})$

$=2\pi(\frac{-4r^2+16-4r^2}{\sqrt{16-4r^2}})$

$=2\pi(\frac{-8r^2+16}{\sqrt{16-4r^2}})$

Again differentiating with respect to r,

$\frac{d^2S}{dt^2}=2\pi(\frac{\sqrt{16-4r^2}\times -16r + (-8r^2+16)\times \frac{1}{2\sqrt{16-4r^2}}\times -8r}{16-4r^2})$

For maximum or minimum,

$\frac{dS}{dt}=0$

$2\pi(\frac{-8r^2+16}{\sqrt{16-4r^2}})=0$

$-8r^2 + 16 = 0$

$8r^2 = 16$

$r^2 = 2$

$\implies r = \sqrt{2}$

Since, for r = √2,

$\frac{d^2S}{dt^2}=negative$

Hence, the surface area is maximum if r = √2,

And, maximum surface area,

$S = 2\pi (\sqrt{2})(\sqrt{16-8})$

$=2\pi (\sqrt{2})(\sqrt{8})$

$=2\pi \sqrt{16}$

$=8\pi\text{ square cm}$

4 0

3 years ago

A screen printer can pack up to 24 sweatshirts into a box for shipping.

Maru [420]

Answer: 15

Step-by-step explanation:

360 is the amount of sweats you need to ship to a costumer. One box has 24 shirts. This gives you the equation: 360 ÷ 24 = 15.

N is 15

6 0

3 years ago