All categories

3 years ago

Find the coefficient of x2 in (3x2 – 5) (4 + 4x2), expand using algebraic expressions and answer

Mathematics

1 answer:

Scilla [17]3 years ago

7 0

Answer:

- 8

Step-by-step explanation:

Given

(3x² - 5)(4 + 4x²)

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

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

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

= 12 $x^{4}$ - 8x² - 20

The coefficient of the x² term is - 8

You might be interested in

Complete the input output table for the function y=3^x

egoroff_w [7]

Answer:

Input of x when it is equal to (1,2,3,4,5) gave an output of 3, 9, 27,81 & 243 respectively.

Step-by-step explanation:

Step 1. Substitute for x (1,2,3,4,5) in the functions to solve for the output of y.

y=3^x

when x= 1

y=3¹ = 3

when x= 2

y=3² = 9

when x= 3

y=3³ = 27

when x= 4

y=3⁴ = 81

when x= 5

y=3 ^ 5 = 243.

Input of x when it is equal to (1,2,3,4,5) gave an output of 3, 9, 27,81 & 243 respectively.

6 0

3 years ago

A number divided by -9 is 16. What is the missing number?

kondor19780726 [428]

X/(-9) = 16

x/(-9) x (-9) = 16(-9)

x = 16(-9)

x = - 144

hope this helps

7 0

3 years ago

Read 2 more answers

Jacob received a deck of cards for his birthday. The length, width, and height of the card box are shown below. What is the volu

ollegr [7]

The question is incomplete :

The height, width and Lenght isn't Given. However, we can create an hypothetical scenario, with a height 6, length 8 and width 4

Answer:

192 unit³

Step-by-step explanation:

The volume of the card box :

Recall the volume of box formula :

V = length * width * height

Volume = 8 * 6 * 4

Volume = 192 unit³

This is the procedure for any given dimension of the card deck.

6 0

2 years ago

What is the distance points for (2,-2) and (0,-9)

Ksivusya [100]

The distance between two points (2,-2) and (0,-9) is 7.3 units, which is obtained by graphical method and formula method.

Step-by-step explanation:

The given is,

Two points are (2,-2) and (0,-9)

Step:1

By graphical method,

For two points (2,-2) and (0,-9)

First point (2,-2)

The values of x=2 and y=-9 noted in the graph

Second point (0,-9)

The values of x=0 and y=-9 noted in the graph

Now join the two points, measure the distance between the two points,

Distance between points are 7.3 units.

( OR )

Step:1

By formula method,

Distance = $\sqrt{(x_{2}- x_{2}) ^{2}+ (y_{2}-y_{1}) ^{2} }$

Where,

( 2,-2) are ( $x_{1},y_{1}$ )

(0,-9) are ( $x_{2},y_{2}$ )

From the values,

= $\sqrt{(0- 2) ^{2}+ (-9+2) ^{2} }$

= $\sqrt{(- 2) ^{2}+ (-7) ^{2} }$

= $\sqrt{4+49 }$

= $\sqrt{53}$

= 7.280

≅ 7.3

Distance = 7.3

Result:

The distance between two points (2,-2) and (0,-9) is 7.3 units, which is obtained by graphical method and formula method.

5 0

3 years ago

I need help with this problem

Soloha48 [4]

Answer:

$3.\ \dfrac{3x}{11x}, \dfrac{6}{22}, \dfrac{9}{33},\dfrac{12}{44}$

$4. -18\\5.\ 400$

Step-by-step explanation:

Solution 3:

Equivalent fractions to are to $\frac{3}{11}$ be found out.

Method: By Multiplying both the denominator and numerator with the same number, we can easily find equivalent fractions.

1. Multiply with 2:

$\dfrac{3 \times 2}{11 \times 2}\\\Rightarrow \dfrac{6}{22}$

2. Multiply with 3:

$\dfrac{3 \times 3}{11 \times 3}\\\Rightarrow \dfrac{9}{33}$

3. Multiply with 4:

$\dfrac{3 \times 4}{11 \times 4}\\\Rightarrow \dfrac{12}{44}$

If we try to write in variable form, it can be written as:

$\dfrac{3x}{11x}$

where x is any number.

---------------

Solution 4:

$(2x-10)$ when $x=-4$

$2 \times (-4) -10\\\Rightarrow -8 -10\\\Rightarrow -18$

------------

Solution 5:

$(10a)^2, a=-2\\\Rightarrow \{10 \times (-2)\}^2\\\Rightarrow (-20)^2\\\Rightarrow 400$

4 0

3 years ago