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natulia [17]
3 years ago
8

Equivalent to x^3+3x^2-x+2x^2+6x-2 after it has been simplified

Mathematics
1 answer:
natima [27]3 years ago
4 0

Answer:

x³ + 5x² + 5x - 2

Step-by-step explanation:

Given

x³ + 3x² - x + 2x² + 6x - 2 ← collect like terms

= x³ + (3x² + 2x² ) + (- x + 6x ) - 2

= x³ + 5x² + 5x - 2

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How manufacturing time does the graph of the function below intersect or touch the x-axis y=-2x^2+3x+5
soldi70 [24.7K]
The graph intersects the x-axis twice.  It intersects at the points of (-1,0) and (2.5,0). The graph is attached.

7 0
3 years ago
Need help ASAP!!!!!!
ki77a [65]

Answer:

D) The function is always decreasing

Step-by-step explanation:

As you move along the x axis, the x value approaches: a) negative infinity when x < 0 and b) 0 when x > 0

8 0
3 years ago
What is the probability that a standard number cube will show a two, five, or six when it is rolled?
tia_tia [17]

Answer:

p=0.5

Step-by-step explanation:

A standard die has six numbers (1 through 6). That means there is a 1/6 probability of rolling any one number. There is a 3/6 probability of rolling one of the selected numbers which simplifies to 1/2 or 0.50

6 0
2 years ago
What is the area of ABC below? If necessary, round your answer to two decimal places.
irina [24]
Our goal is to find the area
area=1/2 times base times height
we know the height is 7.9 but what is the base?


use the pythagorean theorem twice
alrighty
so
remember for legs length a and b and hytponuse c in a right triangle
a²+b²=c²

we need AD and DC

so
AD²+7.9²=9.4²
AD=√25.95

DC²+7.9²=23.2²
DC=√475.83

so
AD+DC=base=(√25.95)+(√475.83)
area=1/2bh
area=1/2((√25.95)+(√475.83))(7.9)
area≈106.28518654591426812803776879893
round to 2 decimal places
area≈106.29 square units
6 0
3 years ago
An open-top rectangular box with square base is to be made from 100 square feet of material, as shown.
-Dominant- [34]

The largest possible volume of the given box is; 96.28 ft³

<h3>How to maximize volume of a box?</h3>

Let b be the length and the width of the base (length and width are the same since the base is square).

Let h be the height of the box.

The surface area of the box is;

S = b² + 4bh

We are given S = 100 ft². Thus;

b² + 4bh = 100

h = (100 - b²)/4b

Volume of the box in terms of b will be;

V(b) = b²h = b² * (100 - b²)/4b

V(b) = 25b - b³/4

The volume is maximum when dV/db = 0. Thus;

dV/db = 25 - 3b²/4

25 - 3b²/4 = 0

√(100/3) = b

b = 5.77 ft

Thus;

h = (100 - (√(100/3)²)/4(5.77)

h = 2.8885 ft

Thus;

Largest volume = [√(100/3)]² * 2.8885

Largest Volume = 96.28 ft³

Read more about Maximizing Volume at; brainly.com/question/1869299

#SPJ1

4 0
1 year ago
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