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PSYCHO15rus [73]
3 years ago
7

Which polynomial is equivalent to (2h − 3k)(h + 5k)?

Mathematics
1 answer:
Luba_88 [7]3 years ago
3 0

Answer:

2h^{2}  + 7hk - 15k^{2}

Step-by-step explanation:

Distribute (2h − 3k)(h + 5k).

2h^2 + 10hk - 3hk - 15k^2

2h^2 + 7hk 15k^2

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One hundred fifty is what percent of 200?
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Method\ 1:\\\\\dfrac{150}{200}\cdot100\%=\dfrac{15}{20}\cdot100\%=15\cdot5\%=75\%\\\\Method\ 2:\\\\200\ -\ 100\%\\150\ -\ p\%\\\\cross\ multiply\\\\200\cdot p=150\cdot100\\200p=15,000\ \ \ |divide\ both\ sides\ by\ 200\\\boxed{p=75\ (\%)}
8 0
3 years ago
On a trip, a motorist drove 150 miles in the morning and 50 miles in the afternoon. His average rate in the morning was twice hi
Lina20 [59]

Answer:

Morning's average rate = 50 mph, and Afternoon's average rate = 25 mph.

Step-by-step explanation:

Suppose he drove 150 miles for X hours, then his average rate in the morning was (150/X) mph.

Given that he spent 5 hours in driving.

And he drove 50 miles for (5-X) hours, then his average rate in the afternoon was 50/(5-X) mph.

Given that his average rate in the morning was twice his average rate in the afternoon.

(150/x) = 2 * 50/(5-x)

150/x = 100/(5-x)

Cross multiplying terms, we get:-

150*(5-x) = 100*x

750 - 150x = 100x

750 = 100x + 150x

750 = 250x

x = 750/250 = 3.

It means he spent 3 hours in the morning and 2 hours in the afternoon.

So morning's average rate = 150/3 = 50 mph.

and afternoon's average rate = 50/(5-3) = 25 mph.

8 0
3 years ago
Given an exponential function for compounding interest, A(x) = P(.91)^x, what is the rate of change?
Marina CMI [18]

The confirmed correct answer is -9%. Trust me.

7 0
3 years ago
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Koto’s average velocity along her route was 4. 5 m/s. She started at her house and traveled 15,000 meters north, 5,000 meters ea
Lostsunrise [7]

The time taken for her trip is 3 hours.

<h3>Given that</h3>

Koto’s average velocity along her route was 4. 5 m/s.

She started at her house and traveled 15,000 meters north, 5,000 meters east, 20,000 meters south, and then 5,000 meters west.

<h3>We have to determine</h3>

What was the time of her trip?

<h3>According to the question</h3>

She started at her house and traveled 15,000 meters north, 5,000 meters east, 20,000 meters south, and then 5,000 meters west.

<h3 /><h3>The calculation of such a trip of Koto can be done by applying the known formula of Time when the Speed is multiplied by Distance to compute the actual time of the trip.</h3>

The formula to calculate the time for her trip is;

\rm Speed = \dfrac{ Distance}{Time}\\&#10;\\&#10;Time = \dfrac{Distance}{Speed}\\&#10;\\&#10;

  • Using the formula above, the commute in each direction is added as 45000 meters or 45 kilometers.

  • If Koto's average speed is 4.5 meters per second, then she travels roughly 270 meters in one minute.

Substitute all the values in the formula;

\rm\ Time = \dfrac{Distance}{Speed}\\\\  Time = \dfrac{45000}{270}\\&#10;\\&#10;Time =166.7

Converting minutes into hours,

\rm Hours = \dfrac{Minute}{60}\\&#10;\\&#10;Hours = \dfrac{166.7}{60}\\&#10;\\&#10;Hours = 2.77 \\&#10;\\&#10;= 3\  hours

Hence, the time taken for her trip is 3 hours.

To know more about Time and Distance click the link given below.

brainly.com/question/4433818

5 0
2 years ago
I WILL GIVE BRAINLIEST!!!
Paha777 [63]
Answer is C 300+5x>25x
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3 years ago
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