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enyata [817]
3 years ago
8

Which of the following is equivalent to (4x²)³ ?

Mathematics
1 answer:
Natalija [7]3 years ago
5 0
\left(4x^2\right)^3=4^3\left(x^2\right)^3=64x^{2\cdot3}=64x^6
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What are the roots of the equation 4x^2+24x+45=0 in simplest a+bi form?
Serhud [2]

Answer:

X=(-1.5, 7.5)

Step-by-step explanation:

Simplifying

4x2 + -24x + -45 = 0

Reorder the terms:

-45 + -24x + 4x2 = 0

Solving

-45 + -24x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(-3 + -2x)(15 + -2x) = 0

 

Set the factor '(-3 + -2x)' equal to zero and attempt to solve:

Simplifying

-3 + -2x = 0

Solving

-3 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.

-3 + 3 + -2x = 0 + 3

Combine like terms: -3 + 3 = 0

0 + -2x = 0 + 3

-2x = 0 + 3

Combine like terms: 0 + 3 = 3

-2x = 3

Divide each side by '-2'.

x = -1.5

Simplifying

x = -1.5  

Set the factor '(15 + -2x)' equal to zero and attempt to solve:

Simplifying

15 + -2x = 0

Solving

15 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-15' to each side of the equation.

15 + -15 + -2x = 0 + -15

Combine like terms: 15 + -15 = 0

0 + -2x = 0 + -15

-2x = 0 + -15

Combine like terms: 0 + -15 = -15

-2x = -15

Divide each side by '-2'.

x = 7.5

Simplifying

x = 7.5

Solution

x = {-1.5, 7.5}

7 0
2 years ago
Which expression calculates the speed in meters per second of an object that travels a distance of 40 m every 10 s?
kipiarov [429]
40x10 is the correct one
5 0
2 years ago
Read 2 more answers
What change is taking place on this graph?
IceJOKER [234]

Answer:

its d  (an increase in demand)

Step-by-step explanation:

5 0
3 years ago
Sam sells necklaces for $10 each. Each necklace costs her $5 to make. She also has $5,000 in fixed costs per year for her jewelr
Marina CMI [18]

profit = revenue - expenses

Filling in the given values, where n is the number of necklaces Sam must sell ...

... 1000 = 10n - (5n +5000)

... 6000 = 5n . . . . . . collect terms, add 5000

... 1200 = n . . . . . . . divide by 5

The appropriate choice is

... D. 1200

4 0
3 years ago
6 1/4 % written in decimal form please
nordsb [41]
To find decimal form, you first have to change 1/4 into a decimal. That equals 0.25.  The percentage would be 6.25%.  Now to find the decimal equivalent, move the decimal two places to the left.  To fill in the one missing place, add a zero before the 6.  Therefore, 6 1/4% is equal to 0.0625 in decimal form.
3 0
3 years ago
Read 2 more answers
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