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guapka [62]
3 years ago
8

What is the solution of 3 sqrt x+8=-4?

Mathematics
1 answer:
ryzh [129]3 years ago
4 0

Answer:

x=-72

Step-by-step explanation:

The given equation is \sqrt[3]{x+8}=-4.

We cube both sides of this equation to obtain;

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

This implies that;

(x+8)=-64

We group similar terms to obtain;

x=-64-8

We simplify the right hand side of the equation to obtain;

x=-72

Therefore x=-72 is the solution of the given equation.

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the system of equations y =-3x+2 and y =1/2 x -6 is shown on the graph below. What is a reasonable estimate for the solution>
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Answer:

The reasonable estimate for the solution is (2.29, -4.87)

Step-by-step explanation:

The reasonable estimate for the solution is the point where the two lines intersect each other.

To get the point where they intersect, we will simply equate the system of equations given as shown:

-3x+2=\frac{1}{2}x-6\\Collect \ the \ like \ terms\\-3x-\frac{1}{2}x=-6-2\\\frac{-7x}{2}=-8\\-7x=-16\\x=\frac{16}{7}    \\x=2.29

Substitute x = 2.29 into any of the equation

Using the equation y = -3x+2

y = -3(2.29)+2

y = -6.87+2

y =-4.87

This shows that the reasonable estimate for the solution is (2.29, -4.87)

Further explanation on the similar question can be found here brainly.com/question/19713330

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