Which best describes the composition of transformations that maps JKLM to PQRS?

Which expression is equivalent to 4x+3x+4-2x

kvv77 [185]

Answer:

5x+ 4

Step-by-step explanation:

First, put all of the x variables together. So 3x+4x=7x

7x + 4 -2x Since the 2x is negative you can subtract it from 7x and get 5x.

you can not add the four to the 5x because it does not have a matching variable.

So, you have: 5x+ 4

6 0

3 years ago

Y = 3 sin2x, y = 0, 0 ≤ x ≤ π; about the x−axis

Dominik [7]

I assume you're revolving the region with those bounds about the x-axis, and supposed to find the volume.

Via the disk method,

$\displaystyle\pi\int_0^\pi(3\sin2x)^2\,\mathrm dx=9\pi\int_0^\pi\sin^22x\,\mathrm dx$

Recall the half-angle identity for sine:

$\sin^2t=\dfrac{1-\cos2t}2$
$\implies\displaystyle\frac{9\pi}2\int_0^\pi(1-\cos4x)\,\mathrm dx$
$=\displaystyle\frac{9\pi}2\left(x-\frac14\sin4x\right)\bigg|_{x=0}^{x=\pi}$
$=\dfrac{9\pi^2}2$

8 0

4 years ago

Two solid metal spheres have masses of 5 kg and 135 kg respectively. If the radius of the smaller one is 4 cm, find the radius o

Cerrena [4.2K]

Answer: 12 cm

Step-by-step explanation:

The masses of the spheres are proportional to their volums, and the cube of the ratio is k^3=135/5=27 ==> k=3

The greater radius is 3*4=12 (cm)

8 0

3 years ago

Your friend, Susannah, manages a sandwich shop. She collects data on the number of turkey sandwiches sold per day for a week. Ex

ExtremeBDS [4]