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3 years ago

What is (4x^3) divided by (2x)

Mathematics

1 answer:

Svet_ta [14]3 years ago

3 0

Answer:

2x^2

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

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What is the capacity of the cube in liters?

Yanka [14]

Capacity=L^3
=8×8×8
=512L

6 0

3 years ago

Read 2 more answers

Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the

Llana [10]

Answer:

h(x), g(x), f(x)

Step-by-step explanation:

The axis of symmetry of a parabola is the vertical line through its vertex.

The equation is written in vertex form:

f(x) = a(x -h)² +k . . . . . vertex (h, k), scale factor 'a'

The vertical line through the vertex is x=h.

Your equation is ...

f(x) = -2(x -4) +2

so (h, k) = (4, 2) and the line of symmetry is x=4.

The given equation can be written in vertex form:

g(x) = 5x² -10x +7

g(x) = 5(x² -2x) +7

g(x) = 5(x² -2x +1) +7 -5 . . . . complete the square

g(x) = 5(x -1)² +2

so (h, k) = (1, 2) and the line of symmetry is x=1.

Your problem statement tells us ...

h(x) = -(x +2)² +2

so (h, k) = (-2, 2) and the line of symmetry is x=-2.

The coordinates of the vertex can also be read from the graph: (-2, 2).

<h3>order</h3>

The rank of the functions is the order of {-2, 1, 4}, or h(x), g(x), f(x).

7 0

1 year ago

Simplify each expression. <br>(4 - 2i) - (-3 + i)

PtichkaEL [24]

Answer:

2i - (-3 + i)

Step-by-step explanation:

I think this is it. Sorry if it's wrong

7 0

2 years ago

Read 2 more answers

Suppose you are the manager of a firm. The accounting department has provided cost estimates, and the sales department sales e

Katarina [22]

Answer:

<em>If more than 134 articles are produced and sold, the firm will have positive profits and shoule start production</em>

Step-by-step explanation:

Cost, Revenue, and Profit Function

The cost function C(x) is given by

$C(x)=75x+3,350$

where x is the number of produced products.

The revenue function is

$R(x)=100x$

With both equations, we can know the profit function as

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

$P(x)=100x-75x-3,350=25x-3,350$

$P(x)=25x-3,350$

For the firm to have positive profits, it has to produce x articles with the condition

$P(x)>0$

Or, equivalently

$P(x)=25x-3,350>0$

Solving for x

$\displaystyle x>\frac{3,350}{25}$

Thus

$x>134$

This means that if more than 134 articles are produced and sold, the firm will have positive profits and shoule start production

6 0

3 years ago

What is the area of the figure shown below?

german

Área of rectangle= 18 x 14 = 252

Area or triangle=
30-18= 12
12 is the base of the triangle
14 is the height of the triangle
Area of a Triangle= 1/2bh
1/2(12)(14)=84
Área of Triangle= 84

252+84= 336

Answer= 336

4 0

2 years ago