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3 years ago

Given the function defined in the table below, find the average rate of change, in

Mathematics

2 answers:

Usimov [2.4K]3 years ago

8 0

Answer:

Step-by-step explanation:

Pepsi [2]3 years ago

8 0

Answer:

180

Step-by-step explanation:

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Find the missing dimension of the cone. Round your answer to the nearest tenth.

exis [7]

Answer:

H=5.0 (to the nearest 10th)

Step-by-step explanation:

$V=\pi r^{2} \frac{h}{3}$

${2} h=3\frac{v}{\pi r^{2} }$ $=3(\frac{13.4}{\pi (1.6^{2} ) } )$ ≈4.99846

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3 years ago

5x3 + 14x2 + 9x <br> help

Cerrena [4.2K]

<h3>Answer: x(x+1)(5x+9) </h3>

===================================================

Work Shown:

5x^3 + 14x^2 + 9x

x( 5x^2 + 14x + 9 )

To factor 5x^2 + 14x + 9, we could use the AC method and guess and check our way to getting the correct result.

A better way in my opinion is to solve 5x^2 + 14x + 9 = 0 through the quadratic formula

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(14)\pm\sqrt{(14)^2-4(5)(9)}}{2(5)}\\\\x = \frac{-14\pm\sqrt{16}}{10}\\\\x = \frac{-14\pm4}{10}\\\\x = \frac{-14+4}{10} \ \text{ or } \ x = \frac{-14-4}{10}\\\\x = \frac{-10}{10} \ \text{ or } \ x = \frac{-18}{10}\\\\x = -1 \ \text{ or } \ x = \frac{-9}{5}\\\\$

Then use those two solutions to find the factorization

x = -1 or x = -9/5

x+1 = 0 or 5x = -9

x+1 = 0 or 5x+9 = 0

(x+1)(5x+9) = 0

So we have shown that 5x^2 + 14x + 9 factors to (x+1)(5x+9)

-----------

Overall,

5x^3 + 14x^2 + 9x

factors to

x(x+1)(5x+9)

6 0

3 years ago

In this diagram the big square is divided into 7 congruent small squares and two congruent triangles. The area of the shaded squ

Salsk061 [2.6K]

Since each square will have an area of 4 cm^2 because they are congruent, then let’s find the side length of them.

Square root of 4 is two

Each side is 2 cm. Since the unshaded triangle has 3 on the base and height, then it is same to assume that the triangle has a base of 6 cm (2 * 3) and a height of 6 cm.

The formula of the area of a triangle is:
1/2 ( base times height)

Let’s plug in some values

1/2(6 * 6)

Multiply

1/2 (36)

Divide

18

Since the triangles are also congruent, then the shaded side has the same area.

The shaded triangle has an area of 8 cm ^2

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2 years ago

Discs of radius 4cm are cut from a rectangular plastic sheet of length 84cm and width 24cm.How many complete discs can be cut ou

Ymorist [56]

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2 years ago

9263/88 and what is the remainder

WITCHER [35]

The remainder is 23.
105 R23

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2 years ago

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