All categories

3 years ago

Find the coefficient of x2 in ( 4+ 4x2)( 3x2–5).

Mathematics

1 answer:

algol133 years ago

8 0

Answer:

- 8

Step-by-step explanation:

Given

(4 +4 x²)(3x² - 5)

Each term in the second factor is multiplied by each term in the first factor, that is

4(3x² - 5) + 4x²(3x² - 5) ← distribute parenthesis

= 12x² - 20 + 12 $x^{4}$ - 20x² ← collect like terms

= 12 $x^{4}$ - 8x² - 20

with coefficient of x² term being - 8

You might be interested in

How many times dose 25 go into 150

alexandr1967 [171]

The answer is 6.
4 quarters is 1 dollar right?
and if you add 2 more, it will be $1.50
This is the easiest way to memorize how to multiply using the number 25.

8 0

3 years ago

Read 2 more answers

The inside of tank is in the shape of a right rectangular prism. The base of the prism is 85 cm by 64 cm. What is the minimum he

Allisa [31]

Answer:

16.9 cm

Step-by-step explanation:

The volume of a prism = Area of base × height

For a rectangular prism, the base of the area = length × breadth

The volume of the liquid = 92 L

Since 1 L = 1000 cm³, 92 L = 92000 cm³

92000 = 85 × 64 × h

5440 h = 92000

h = 92000 ÷ 5440 = 16.9 cm

8 0

3 years ago

When working with inequalities what do you do when its x squared > 16 and vice versa does the sign flip.

S_A_V [24]

Answer:

$x4$

$\{x\in \mathbb{R}| \:\left(-\infty \:,\:-4\right)\cup \left(4,\:\infty \:\right) \}$

Step-by-step explanation:

$x^2>16$

$x\sqrt{16}$

$x4$

The interval notation will be:

$\{x\in \mathbb{R}| \:\left(-\infty \:,\:-4\right)\cup \left(4,\:\infty \:\right) \}$

The contrary,

$x^2$

is $-4$

6 0

3 years ago

Read 2 more answers

Evaluate V= bh divided by 3 for B= 9 in 2 and h=32 in

Luba_88 [7]

It would be 96 because V=(9)(32)= 288/3=96

8 0

3 years ago

A side of the triangle below has been extended to form an exterior angle of 132°. Find the value of X

Zinaida [17]

Answer:

x = 114°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, thus

x + 18° = 132° ( subtract 18° from both sides )

x = 114°

7 0

3 years ago