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1 year ago

Which solution of the equation can be determined from the graph? The solution is? The set of the other solution is?

Mathematics

1 answer:

Gennadij [26K]1 year ago

6 0

SOLUTION

The given equation is

$x^3+3x^2-16x-48=0$

From the given graph, one of the solution of the equation is

$x=4$

Since x=4 is a solution to the equation it follows that x-4 is a factor

The given equatin can be simplified as

$x^3+3x^2-16x-48=(x-4)(x+4)(x+3)$

Therefefore other solutions are

$x=-4,x=-3$

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4 years ago

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3 years ago

Solve each calculation. Be sure to report your answer with the correct number of significant figures.

Serjik [45]

Question:

Solve each calculation. Be sure to report your answer with the correct number of significant figures.

5.61000 dg × 1.1010 dg

12.0 m ÷ 3.1415 m

Answer:

1. $5.61000dg * 1.1010dg$ = $6.177 dg^2$

2. $\frac{12}{3.1415} = 3.8198$

Step-by-step explanation:

1. 5.61000 dg × 1.1010 dg

We start by representing each digit using scientific notation

$5.61000 = 561000 * 10^{-5}$

$1.1010 = 11010 * 10^{-4}$

Then, Multiply both numbers

$561000 * 10^{-5} * 11010 * 10^{-4}$

First, rearrange

$561000 * 11010 * 10^{-5} * 10^{-4}$

$6176610000 * 10^{-5} * 10^{-4}$

From law of indices, $10^{-5} * 10^{-4} = 10^{-9}$ ;

So, we have

$6176610000 * 10^{-9}$

$6.176610000$

Because 5.61000 is given in 3 significant figures and 1.1010 is given in 4 significant figures, we approximate the result to 4 significant figures

This gives $6.177$