What is the range of y=log 8x?

The function f(x) = |x| is shifted to the left 3 units and down 2 units to make the function g(x) . Write the equation g(x) that

Mila [183]

Answer:

g(x) = |x+3|-2

Step-by-step explanation:

to move horizontally replace each x with (x ± c)

if you move it to the right, you need x - c

if you move it to the left , you need x + c

so , since we are moving 3 units to the left, we replace the x with x+3

g(x) = |x+3|-2

4 0

2 years ago

A cylindrical piece of iron pipe is shown below. The wall of the pipe is 0.75 inch thick, and the pipe is open at both ends:

Gnesinka [82]

Answer:

(A)398 cubic inches

Step-by-step explanation:

Given a cylindrical piece of iron pipe with the following dimensions:

Height = 12 inches
Diameter = 8 inches

Therefore: External radius =4 Inches

Since the wall of the pipe is 0.75 inch thick,

Internal Radius =4-0.75 =3.25 Inches

Volume of a Cylinder = $\pi r^2 h$

Inside Volume of the Pipe

$= \pi*3.25^2*12\\=398$ cubic inches$

The correct option is A.

6 0

2 years ago

A large soft drink costs one and a half times as much as small soft drink. If a small drink costs n dollars, write an expression

ASHA 777 [7]

A) 1.5n................................

5 0

3 years ago

Read 2 more answers

Identify the zero(s) of the function graphed below

k0ka [10]

Answer:

Step-by-step explanation:

The zeros are the values of x for which y=0.

The zero of this graph is x=1.

8 0

2 years ago

Suppose a computer manufacturer has the total cost function

S_A_V [24]

Answer:

(a) P(x) = 300 x - 3600

(b) P(340) = $ 98400

(c) At least 12 items must be sold to avoid losing money.

Step-by-step explanation:

Part (a):

The Profit function is the difference between the revenue function (R(x)) and the Cost (C(x)) function:

P(x) = R(x) - C(x)

P(x) = 384 x - [84 x + 3600]

P(x) = 384 x - 84 x - 3600

P(x) = 300 x - 3600

Part (b):

The profit on 340 items is:

P(340) = 300 (340) - 3600

P(340) = 102000 - 3600

P(340) = $ 98400

Part (c):

To avoid losing money, the profit P(x) has to be larger or equal than zero. That is:

P(x) $\geq$ 0

300 x -3600 $\geq$ 0

300 x $\geq$ 3600

x $\geq$ 3600/300

x $\geq$ 12

So at least 12 items must be sold to avoid losing money.

7 0

2 years ago