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4 years ago

What is the solution of RootIndex 3 StartRoot x + 8 EndRoot = negative 4?

Mathematics

2 answers:

erica [24]4 years ago

5 0

Answer: First option.

Step-by-step explanation:

Given the following equation provided in the exercise:

$\sqrt[3]{x+8}=-4$

You can follow the steps indicated below in order to find the solution of this equation:

1. Cubing both sides of the equation, you get:

$(\sqrt[3]{x+8})^3=(-4)^3\\\\x+8=-64$

2. Finally you must subtract 8 from both sides of the equation:

$x+8-8=-64-8\\\\x=-72$

You can notice that this solution matches with the first option.

julia-pushkina [17]4 years ago

5 0

Answer:

x = -72

Step-by-step explanation:

You might be interested in

3 years ago a father was 3 times as old as his son, in five years time he will be twice as old as his son, what will be the sum

ivolga24 [154]

Answer: 46 years

Step-by-step explanation:

Let the father's age be x and the son's age be y, then 3 years ago:

Father = x - 3

son = y - 3

Then , from the first statement :

x - 3 = 3 ( y - 3 )

x - 3 = 3y - 9

x = 3y - 9 + 3

x = 3y - 6 .......................................... equation 1

In five years time

father = x + 5

son = y + 5

Then , from the second statement

x + 5 = 2 ( y + 5 )

x + 5 = 2y + 10

x = 2y + 10 - 5

x = 2y + 5 ........................ equation 2

Equating equation 1 and 2 , we have

3y -6 = 2y + 5

add 6 to both sides

3y = 2y + 5 + 6

subtract 2y from both sides

3y - 2y = 11

y = 11

substitute y = 11 into equation 1 to find the value of x

x = 3y - 6

x = 3(11) - 6

x = 33 - 6

x = 27

This means that the father is presently 27 years and the son is presently 11 years.

In four years time

father = 27 + 4 = 31

son = 11 + 4 = 15

sum of their ages in four years time will be

31 + 15 = 46 years

5 0

3 years ago

Read 2 more answers

To describe a specific arithmetic sequence, Elijah wrote the recursive formula:

11111nata11111 [884]

Answer:

$t_{n} = 30 + 7n$ , where, n = 0, 1, 2, 3, 4, .........

Step-by-step explanation:

Given the arithmetic sequence in recursive formula.

f(0) = 30 and f(n + 1) = f(n) + 7 ......... (1)

Therefore, putting n = 0 in equation (1) we get f(1) = f(0) + 7 = 30 + 7 = 37 {Since, f(0) is given to be 30}

Again, putting n = 1 in equation (1) we get f(2) = f(1) + 7 = 37 + 7 = 44

And, putting n = 2 in equation (1) we get f(3) = f(2) + 7 = 44 + 7 = 51

and so on.

Therefore, the arithmetic sequence is 30, 37, 44, 51, .......

Therefore, the linear equation of this sequence is given by $t_{n} = 30 + 7n$ , where, n = 0, 1, 2, 3, 4, .........

(Answer)

3 0

3 years ago

A marble is selected at random from a jar containing 3 red marbles, 4 yellow marbles, and 6 green marbles. What is the probabi

alexgriva [62]

Answer: a) $\dfrac{3}{13},\ b)\dfrac{9}{13}\ c)\dfrac{9}{13},\ d)\dfrac{4}{13}$

Step-by-step explanation:

Since we have given that

Number of red marbles = 3

Number of yellow marbles = 4

Number of green marbles = 6

Total number of marbles = 3 +4 +6 = 13

a) the marble is red?

Probability of getting a red marble = $\dfrac{3}{13}$

b) the marble is not yellow?

Probability of not getting yellow = $\dfrac{3+6}{13}=\dfrac{9}{13}$

c) the marble is either red or green?

Probability of getting either red or green = P(red) + P(green) = $\dfrac{3}{13}+\dfrac{6}{13}=\dfrac{9}{13}$

d) the marble is neither red nor green?

Probability of getting neither red nor green = P(getting yellow) = $\dfrac{4}{13}$

Hence, a) $\dfrac{3}{13},\ b)\dfrac{9}{13}\ c)\dfrac{9}{13},\ d)\dfrac{4}{13}$

5 0

3 years ago

Which level does macroeconomics focus on?

siniylev [52]

Choices given were:
<span>A. personal
B. business
C. government
</span>
Among the choices, macroeconomics focus on C. GOVERNMENT.

Macro means large or large-scale. Macroeconomics deal with economies in a larger scale like national, regional, or global market which government is involved with.

5 0

3 years ago

Read 2 more answers

HELP ME AND YOU'LL GET 95 POINTS ASAP

Makovka662 [10]

Answer: See explanation. Hope this helps, please consider making me Brainliest.

Step-by-step explanation:

To find the rate of change, subtract then divide. This is especially a good strategy when you have the x and y values when x = 0:

604 - 460 = 144

144 divided by 18 =

Therefore, the rate of change is 8. We can even go further to create an equation for this:

y intercept = 460 (because 0 multiplied by the rate of change would be 0).

slope = 8

Slope-intercept form: y = mx + b --> y = 8x + 460

Hope this helps, please consider making me Brainliest.

8 0

2 years ago