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3 years ago

Explain why it is necessary to check the solutions to a radical equation.

Mathematics

1 answer:

guajiro [1.7K]3 years ago

5 0

Answer:

When a power is taken on both sides of an equation, the resulting solutions might not check in the original radical equation. These are called extraneous solutions. You must check solutions by substituting in the values into the original equation and verifying that it produces a true statement.

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In a plane, line b is parallel to line f, line f is parallel to line g, and line h is perpendicular to line b. Which of the foll

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Answer: f is Parralel to g

Step-by-step explanation:

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3 years ago

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Simplify: 3(2x-y)-(5x+4y-2) Please show steps

il63 [147K]

Answer:

6 x ^2 − 5 x y − 4 y ^2

Step-by-step explanation:

Expand

( 2 x + y ) (3 x − 4 y )

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Apply the distributive property.

2 x ( 3 x − 4 y ) + y ( 3 x − 4 y )

Apply the distributive property.

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2 years ago

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When graphing on the complex plane, which quadrant will the complex number 5+17i be found in?

AleksAgata [21]

Answer:

1st quadrant

Step-by-step explanation:

The real and imaginary portions are both positive, so the the point will be in the top right quadrant

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3 years ago

What is the rational number that is equivalent to a -24 / -6

saw5 [17]

Answer:

Step-by-step explanation:

hi! let's divide -24 and -6 to simplify this. this is the same answer as 24/6 since two negatives that are divided by each other equal a positive number, and 24 divided by 6 is 4, so the answer is 4.

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3 years ago

3. You want to have $4000 in your savings account after 2 years. Find the amount you should deposit for each of the situations d

pychu [463]

Answer:

Part A)

About $3767.34.

Part B)

About $3692.47.

Step-by-step explanation:

Part A)

Recall that compound interest is given by the formula:
$\displaystyle A = P\left(1+\frac{r}{n}\right)^{nt}$

Where A is the final amount, P is the initial amount, r is the interest rate, n is the number of times compounded per year, and t is the number of years.

To obtain $4000 after two years, let A = 4000 and t = 2.

Because the account pays 3% interest compounded monthly, r = 0.03 and n = 12.

Substitute and solve for P:

$\displaystyle \begin{aligned} (4000) & = P\left(1+\frac{(0.03)}{(12)}\right)^{(12)(2)} \\ \\ P & = \frac{4000}{\left(1+\dfrac{(0.03)}{(12)}\right)^{(12)(2)}} \\ \\ & \approx \$3767.34\end{aligned}$

In concluion, about $3767.34 should be deposited.

Part B)

Recall the formula for continuous compound:

$\displaystyle A = Pe^{rt}$

Where e is Euler's number.

Hence, let A = 4000, r = 0.04 and t = 2. Substitute and solve for P:

$\displaystyle \begin{aligned}(4000) & = Pe^{(0.04)(2)} \\ \\ P & = \frac{4000}{e^{(0.02)(4)}} \\ \\ & \approx \$3692.47 \end{aligned}$

In conclusion, about $3692.47 should be deposited.

8 0

2 years ago