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arlik [135]
3 years ago
6

Please help! If possible please show your work. Thank you in advance!! :D

Mathematics
1 answer:
Rudiy273 years ago
6 0

Answer:

  • (-4)³ = -64
  • -64

Step-by-step explanation:

The first step in solving the equation is to cube both sides:

  (∛x)³ = (-4)³ . . . . . = (-4)(-4)(-4) = 16(-4) = -64

  x = -64 . . . . . simplified

__

We're not sure what "checking" is supposed to involve here. Usually, one would check the answer by seeing if a true statement is made when the answer is put into the original equation.

  ∛(-64) = -4 . . . true

Many calculators will not compute √(-64) because they compute roots using logarithms. The log of a negative number is not defined.

So, the way one would check this is to cube both sides, which is how we got the answer in the first place. We expect the same result from doing the same operation again, so it isn't really a check.

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A paintball court charges an initial entrance fee plus a fixed price per ball. P represents the total price (in dollars) as a fu
Nuetrik [128]

Answer:

$8

Step-by-step explanation:

It says P = per ball (which will be a number, n, for balls times the fixed price) plus a set entrance fee. So we find that the price per ball is $0.80, so 10 balls cost $8.

6 0
3 years ago
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What is the vertex of this function f(x)=x^2+12x
tankabanditka [31]

Answer:

(-6, 36)

Step-by-step explanation:

The standard form: ax^2 + bx + c

In this case:

a is 1

b is 12

c is 0

Calculate -b / 2a. This is the x-coordinate of the vertex.

To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y. This is the y-coordinate of the vertex.

-12 / ( 2 x 1 )

-12 / 2

-6

You log -6 in the function

f(x) = x^2 + 12x

f(-6) = (-6)^2 + 12(-6)

      = 36 +  (-72)

      = 36 - 72

      = 36

I hope this

4 0
3 years ago
If a truck leaves on Friday traveling 55 mph and is able to travel 10 hours per day, how many miles will it have driven after Mo
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2 years ago
You and your friend are rolling number cubes. Each cube has 6 sides with the numbers 1 to 6. If a sum of 7 is rolled, your frien
Ad libitum [116K]
You don't list the "sums listed below" but I can still help you.
There are 6 ways to get a sum of 7 using a pair of dice:
1+6
6+1    You might be asking why 2+5 isn't the same as 5+2
2+5      Imagine the dice are different colors.  Is a red 2 and green 5 the
5+2          same as a green 2 and red 5?  (No, it's not)
3+4
4+3
You need two numbers that also provide 6 ways to win.  One pair that would work is 11 and 9   There are two ways to make 11 (5+6) and (6+5)  and there are four ways to make 9 (3+6), (6+3) (4+5) and (5+4) - that's a total of six ways.  So to balance your friend's 7 - you could go for sums of 11's and 9's.  Check the choices you were given and find the numbers (it could be three numbers like 2,3, and 12) that give you 6 ways to win.
Here are the numbers and their ways
Sum of the dice                          Ways to get it
2                                                      1
3                                                      2
4                                                      3
5                                                      4
6                                                      5
7                                                      6
8                                                      5
9                                                      4
10                                                    3
11                                                    2
12                                                    1


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