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2 years ago

8 powered to the next third - 9•2 divided by 3

Mathematics

1 answer:

Svet_ta [14]2 years ago

4 0

Answer:

2³ = 2 · 2 · 2 = 8

The phrase "two to the third power" or "two cubed" has a base of 2, an exponent of 3, and means that 2 is used as a factor 3 times. When math is typed on one line rather than written by hand, 2³ is sometimes written as 2^3 where the caret seperates the base from the exponent so the expression translates as "2 to the 3rd power."

Step-by-step explanation:

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Read 2 more answers

Solve 5x(x-6)(4x+9)=0

xxTIMURxx [149]

Greetings and Happy Holidays!

Solve for x.
$5x(x-6)(4x+9)=0$ <span>

Distribute the parenthesis:
</span> $5x(x-6)(4x+9)=0$

$(5x^2-30x)(4x+9)=0$

$(20x^3-120x^2)+(45x^2-270x)=0$

Combine like terms:
$20x^3-75x^2-270x=0$

Factor out GCF (5x):
$5x(4x^2-15x-54)=0$

Factor the Complex Trinomial:
$5x(4x^2+9x-24x-54)=0$

$5x(x(4x+9)-6(4x-9))=0$

$5x((4x+9)(x-6))=0$

Set Factors to Equal 0:
$5x=0$

$x=0$

or

$4x+9=0$

$4x=-9$

$x=\frac{-9}{4}$

or

$x-6=0$

$x=6$

The Answers Are:
$\boxed{x=0} \\ \boxed{x= \frac{-9}{4}} \\ \boxed{x=6}$

I hope this helped!
-Benjamin

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2 years ago

Olve the system of equations.

stepladder [879]

The system:
y = 3 x - 7
15 x - 5 y = 14
---------------------
Using the substitution method:
15 x - 5 · ( 3 x - 7 ) = 14
15 x - 15 x + 35 = 14
0 · x = 14 - 35
0 · x = - 21
x , y ∈ ∅
Answer:
D ) There is no solution.

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2 years ago

Every week, a car dealer ship sells at least 5 minivans. Write an inequality that represents this situation. Let c represent the

kvv77 [185]

Answer:

we conclude that an inequality 'c ≥ 5' denotes this situation.

Step-by-step explanation:

Given

A car dealer ship sells at least 5 minivans

When we talk about 'at least', it means we are talking about '≥' in terms of representing the 'at least' in inequality symbol.

For instance,

'm≥n' means 'm' is greater than or equal to 'n'.

It means 'm' is at least equal to 'n'.

Coming back to the question,

Let 'c' represent the number of minivans sold each week.

As the car dealer ship sells at least 5 minivans. so the

inequality will be: c ≥ 5

Thus, we conclude that an inequality 'c ≥ 5' denotes this situation.

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2 years ago