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arlik [135]
2 years ago
6

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

Mathematics
1 answer:
Rudiy272 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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What is the slope of the line that passes through the points (-3, 5) and (1, 7)?
Stells [14]

Answer: The slope of the line is \frac{1}{2}

Step-by-step explanation:

The slope of a line can be calculated with the following formula:

m=\frac{y_2-y_1}{x_2-x_1}

Then, given the points (-3, 5) and (1, 7), you can identify that:

y_2=5\\y_1=7\\\\x_2=-3\\x_1=1

Knowing these values you can substitute them into the formula for calculate the slope:

m=\frac{5-7}{-3-1}

Finally, evaluating, you get that the slope of that line is:

m=\frac{-2}{-4}\\\\m=\frac{1}{2}

8 0
3 years ago
Which graph shows the solution set for |x - 3| < 4?
ikadub [295]

Answer:

see below

Step-by-step explanation:

|x - 3| < 4

To remove the absolute values, we need to make two inequalities, one positive and one negative

x-3 < 4     and     x-3 > -4

Add 3 to each side

x-3+3<4+3     and  x-3+3 > -4+3

x<7        and        x >-1

-1 <x <7

4 0
3 years ago
Read 2 more answers
7TH GRADE MATH. PLS HELP
Elza [17]

Answer:

192 squared centimeters

Step-by-step explanation:

area equal to 1/2 * base * perpendicular height

1/2*24*16

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3 years ago
The ratio of powder to water is 1:8 if there are 32 cups of powder how many cups of water are needed
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There are 256 cups of water needed. I hope this helped.
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3 years ago
Solve question in image (yr 8 math, 40 pt)
Nady [450]

Answer:

y = 3

Step-by-step explanation:

(5y - 3)/4 + 6 = 3y

5y - 3 + 24 = 12y

7y = 21

y = 3

Check.

(5*3 - 3)/4 + 6 = 3*3

(15 - 3)/4 + 6 = 9

12/4 + 6 = 9

3 + 6 = 9

9 = 9

7 0
2 years ago
Read 2 more answers
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