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3 years ago

Exponential 2^2/2^-3

Mathematics

1 answer:

kenny6666 [7]3 years ago

3 0

Answer: 32

Step-by-step explanation:

2^2 is 4

2^-3 = 1/8

and 4/1/8 is 32

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Find the product of (2x − 3)(2x2 7x − 1). 4x3 − 6x2 − 9x 3 4x3 8x2 − 23x 3 4x3 20x2 − 9x 3 4x3 − 6x2 − 23x 3.

wlad13 [49]

Product of polynomials can be done by distribution of multiplication over addition. The product of $(2x - 3)(2x^2 + 7x - 1)$ is $4x^3 + 8x^2 -23x + 3$

<h3>What is distributive property of multiplication over addition?</h3>

Suppose a, b and c are three numbers. Then we have:

$a(b + c) = a\times b + a\times c$

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The product result of the given expression is

$(2x - 3)(2x^2 + 7x - 1) = 2x(2x^2 + 7x - 1) -3(2x^2 + 7x - 1) \\(2x - 3)(2x^2 + 7x - 1) = 4x^{1+2} + 14x^2 -2x - 6x^2 - 21x + 3\\(2x - 3)(2x^2 + 7x - 1) = 4x^3 + (14 -6)x^2 + (-2 -21)x + 3\\(2x - 3)(2x^2 + 7x - 1) = 4x^3 + 8x^2 -23x + 3$

It is because when bases are same and there is multiplication, then powers add up, so we have: $a^b \times a^c = a^{b+c}$

Also, we've

$(-ve \times (+ve) = -ve\\(-ve) \times (-ve) = +ve\\(+ve) \times (+ve) = +ve\\(+ve) \times (-ve) = -ve$

where -ve, +ve are sign of operands and result.

That's why $2 \times -1 = -2$

Thus,

The product of $(2x - 3)(2x^2 + 7x - 1)$ is $4x^3 + 8x^2 -23x + 3$

Learn more about product of polynomials here:

brainly.com/question/9106484

8 0

3 years ago

1] If 221ₓ= 25₁₀ find X<br> 2] if 3ₓ + 34ₓ - 40ₓ = 0 find x<br> 3] if 23ₓ = 1111₂ find x

Olin [163]

$2\cdot x^2+2\cdot x^1+1\cdot x^0=25\\2x^2+2x+1=25\\2x^2+2x-24=0\\x^2+x-12=0\\x^2+4x-3x-12=0\\x(x+4)-3(x+4)=0\\(x-3)(x+4)=0\\x=3 \vee x=-4$

The base can't be negative, therefore $x=3$ .

$3\cdot x^0+3\cdot x^1+4\cdot x^0-4\cdot x^1+0\cdot x^0=0\\3+3x+4-4x=0\\x=7$

$2\cdot x^1+3\cdotx^0=1\cdot 2^3+1\cdot2^2+1\cdot2^1+1\cdot2^0\\2x+1=8+4+2+1\\2x=14\\x=7$

5 0

2 years ago

Find the surface area, 20cm, NO LINKS

Akimi4 [234]

Answer:

2400cm^3 I believe

Step-by-step explanation:

6 0

3 years ago

10, 7, 4, 1, -2 common ratio

saveliy_v [14]

Answer:

Step-by-step explanation:

common ratio is -3

10-3=7

7-3=4

4-3=1

etc

6 0

3 years ago

Read 2 more answers

Please explain how to solve y=2x+4 and y=x-3 (EXPLAIN please, not doing the work)

tresset_1 [31]

Both equations are equal to y, so set them equal to each other forming an equation in x

2x+4=x-3
-x -x
1x+4= -3
-4 -4
x= -7

You just plug in the value of x which is -7

Y= -7-3
Y= -10

8 0

3 years ago

Exponential 2^2/2^-3​

Exponential 2^2/2^-3