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Kay [80]
3 years ago
7

A professional diver began to descend at a rate of 9 feet per minute after jumping into the ocean at a depth of 7 feet. Which of

the following equations represents the depth of the professional diver at any given time given y is the depth in feet for x number of minutes
Mathematics
1 answer:
klemol [59]3 years ago
8 0

See what you can do like ask what the change is

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Which of the following is the product of the rational expression shown below
wolverine [178]

Option C: \frac{x^{2}-9}{x^{2}-4} is the product of the rational expression.

Explanation:

The given rational expression is \frac{x+3}{x+2} \cdot \frac{x-3}{x-2}

We need to determine the product of the rational expression.

<u>Product of the rational expression:</u>

Let us multiply the rational expression to determine the product of the rational expression.

Thus, we have;

\frac{(x+3)(x-3)}{(x+2)(x-2)}

Let us use the identity (a+b)(a-b)=a^2-b^2 in the above expression.

Thus, we get;

\frac{x^{2} -3^2}{x^{2} -2^2}

Simplifying the terms, we get;

\frac{x^{2}-9}{x^{2}-4}

Thus, the product of the rational expression is \frac{x^{2}-9}{x^{2}-4}

Hence, Option C is the correct answer.

6 0
2 years ago
Can anyone help me with this?0​
sergeinik [125]

Answer:

C) (y - 1)(y - 5)

Step-by-step explanation:

Hi there!

First you separate your expression into groups.

(y^2-5y)(-1y+5)

Now we take the common multiple out of each.

y(y - 5)-1(y - 5)

Since we have two (y - 5)s, we can pull it out of the equation as its own common multiple.

After we do that, we are left with y - 1. (we got this from taking the common multiples out)

Now we are just left with (y - 5)(y - 1)

Hope this helped!

4 0
2 years ago
Kelli swam upstream for some distance in one hour. She then swam downstream the same river for the same distance in only 6 minut
solmaris [256]

Answer:

6.11km/hr

Step-by-step explanation:

Let the speed that Kelli swims be represented by Y

Speed of the river = 5km/hr

Distance = Speed × Time

Kelli swam upstream for some distance in one hour

Swimming upstream takes a negative sign, hence:

1 hour ×( Y - 5) = Distance

Distance = Y - 5

She then swam downstream the same river for the same distance in only 6 minutes

Downstream takes a positive sign

Converting 6 minutes to hour =

60 minutes = 1 hour

6 minutes =

Cross Multiply

6/60 = 1/10 hour

Hence, Distance =

1/10 × (Y + 5)

= Y/10 + 1/2

Equating both equations we have:

Y - 5 = Y/10 + 1/2

Collect like terms

Y - Y/10 = 5 + 1/2

9Y/10 = 5 1/2

9Y/ 10 = 11/2

Cross Multiply

9Y × 2 = 10 × 11

18Y = 110

Y = 110/18

Y = 6.1111111111 km/hr

Therefore, Kelli's can swim as fast as 6.11km/hr still in the water.

4 0
2 years ago
12x + 18y what is the answer
IrinaK [193]

Answer:

30xy

Step-by-step explanation:

5 0
3 years ago
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Fine slope intercept form <br> y = x+7 (2, 3)<br> Help please and thanks
Dimas [21]

Answer:

y=x7 X 5

Step-by-step explanation:

6 0
3 years ago
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