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azamat
4 years ago
11

Is a cubic inch is the space taken by a cube whose sides are 1 inch long?

Mathematics
1 answer:
miskamm [114]4 years ago
7 0
Hello!

A cubic inch is the space taken by a cube that sides are 1 inch long

The answer is Yes or true

Hope this helps!
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One factor of f (x ) = 4 x cubed minus 4 x squared minus 16 x 16 is (x – 2). what are all the roots of the function? use the rem
Rainbow [258]

The factor of the function will be (x - 1), (x - 2), and (x + 2). Then the roots of the function will be 1, 2, and negative 2.

<h3>What is a factorization?</h3>

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The function is given below.

f(x) = 4x³ - 4x² - 16x + 16

Then the factor of the function will be

f(x) = 4x²(x - 1) - 16(x - 1)

f(x) = 4(x - 1) (x² - 4)

f(x) = 4(x - 1) (x² - 2²)

f(x) = 4(x - 1)(x - 2)(x + 2)

Then the roots of the function will be

x = 1, 2, -2

More about the factorization link is given below.

brainly.com/question/6810544

#SPJ1

4 0
2 years ago
What is the constant of proportionality for the ratio 2/5
antiseptic1488 [7]
The answer to your question is 10:20
6 0
3 years ago
A ball is thrown into the air. The path it takes is modeled by the equation: -3t+24t = h, where t is the time in seconds and h i
astra-53 [7]

Given:

The given equation is:

-3t^2+24t=h

Where, t is the time in seconds and h is the height of the ball above the ground, measured in feet.

To find:

The inequality to model when the height of the ball is at least 36 feet above the ground. Then find time taken by ball to reach at or above 36 feet.

Solution:

We have,

-3t^2+24t=h

The height of the ball is at least 36 feet above the ground. It means h\geq 36.

-3t^2+24t\geq 36

-3t^2+24t-36\geq 0

-3(t^2-8t+12)\geq 0

Splitting the middle term, we get

-3(t^2-6t-2t+12)\geq 0

-3(t(t-6)-2(t-6))\geq 0

-3(t-2)(t-6)\geq 0

The critical points are:

-3(t-2)(t-6)=0

t=2,6

These two points divide the number line in 3 intervals (-\infty,2),(2,6),(6,\infty).

Intervals      Check point           -3(t-2)(t-6)\geq 0           Result

(-\infty,2)               0                       (-)(-)(-)=(-)         False

(2,6)                    4                       (-)(+)(-)=+>0            True

(6,\infty)                  8                        (-)(+)(+)=(-)        False

The inequality is true for (2,6) and the sign of inequality is \geq. So, the ball is above 36 feet between 2 to 6 seconds.

6-2=4

Therefore, the required inequality is -3t^2+24t\geq 36 and the ball is 36 feet above for 4 seconds.

3 0
3 years ago
Please answer questions 3 and 4 :))
Gnoma [55]
1.) D
2.) A................
6 0
3 years ago
A 190 inch pipe is cut into 2 pieces. One piece is 4 times the length of the other. Find the length of the other piece
sergeinik [125]

Answer:

The length of the other piece is 38 inch.

Step-by-step explanation:

Given:

A 190 inch pipe is cut into 2 pieces. One piece is 4 times the length of the other.

Now, to find the length of the other piece.

Let the length of the other piece be x.

And the length of one piece be 4x.

The total length of the pipe = 190 inch

According to question:

4x+x=190

⇒5x=190

<em>Dividing both sides by 5 we get:</em>

⇒x=38

Therefore, the length of the other piece is 38 inch.

7 0
3 years ago
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