All categories

3 years ago

Why is it important to check all solutions to radical equations?

2 answers:

5 0

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.

aleksklad [387]3 years ago

4 0

Hello.

The solutions found to radical equations are not necessarily viable. They sometimes result in inequalities, and have to be checked.

Hope I helped.

You might be interested in

You have $50 and are buying some movies on DVDs that cost $15 each. Write an expression that shows how

alexdok [17]

Answer:

50 - 15m

Step-by-step explanation:

You start out with 50 dollars so that is the constant.

Each DVD is 15 dollars, so for every dvd(m) it is 15 dollars.

3 0

3 years ago

The set of whole numbers is not a subset OF--

Andrews [41]

I’m pretty sure it’s b

5 0

3 years ago

Read 2 more answers

Find the values of x and y

ANTONII [103]

Answer:

x = 90 y = 45

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Dante sold 413 cups of lemonade last weekend. George sold 297 cups of lemonade last weekend. How many more cups of lemonade did

TEA [102]

Answer:dante sold 116 more cups.

Step-by-step explanation: subtract 297 from 413

6 0

3 years ago

1..A message in a bottle is floating on top of the ocean in a periodic manner. The time between periods of maximum heights is 26

statuscvo [17]

Answer:

See below for answers and explanations (along with a graph attached)

Step-by-step explanation:

Part A

The amplitude of a sinusoidal function is half the distance between the maximum and the minimum. It is given to us that the distance from the highest and lowest point is 6 feet, so our amplitude is 6/2 = 3 feet

Part B

The graph's function would be in the form of $y=acos(bx+c)+d$ where $a$ is the amplitude, $\frac{2\pi}{b}$ is the period, $-\frac{c}{b}$ is the phase/horizontal shift, and $d$ is the average/midline.

We already know our amplitude of $a=3$ from part A.

Since our period is given to us as 26 seconds, then we can use the equation $\frac{2\pi}{b}=26$ to find $b$ , which happens to be $b=\frac{\pi}{13}$ .

Since the cosine function starts at its maximum and we want it to start at the average where the bottle travels up, we would need to use the cofunction identity $sin(x)=cos(x-\frac{\pi}{2})$ which shifts the cosine graph $\frac{\pi}{2}$ units to the right. This means that $c=-\frac{\pi}{2}$ , making our phase shift $-\frac{c}{b}=-\frac{-\frac{\pi}{2}}{\frac{\pi}{13}}=6.5$ , or 6.5 feet to the right

Our average/midline would be $d=12$ as given as the average height by the problem.

Therefore, the function is $f(x)=3cos(\frac{\pi}{13}x-\frac{\pi}{2})+12$

Part C

Using our determined function from Part B, by looking at its graph, we see that the bottle will reach its lowest height of 9 feet after 19.5 seconds (see attached graph).

5 0

3 years ago

Read 2 more answers