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LenKa [72]
3 years ago
11

Write an equivalent expression for (2 m + 3) (m - 1)​

Mathematics
1 answer:
Dmitry [639]3 years ago
4 0

Answer:

2m^2-3m-9

Step-by-step explanation:

use FOIL

F-firsts

2m*m=2m^2

O-outer

2m*-3=-6m

I-inner

3*m=3m

L-lasts

3*-3=-9

2m^2-6m+3m-9\\\\-6m+3m=-3m\\\\2m^2-3m-9

(2m+3)(m-3)

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60 students study a language at a school.
nirvana33 [79]

The answer will be that out of 36 boys 24 speak french and 12 speak german and out of 24 girls 16 speak french and 8 speak german.

<h3>What is the frequency tree?</h3>

In the question we have that there are 60 students in total out of which 36 are boys:

So number of the girls will be = 60-36=24

Now if 2/3 of the boys speak french the number of the boys who speak french will be = (2÷3)x36=24

Now the number of the boys who speak german will be =36-24=12

Now since 40 students study french so we have the number of the boys who speak french is 24. so the number if the girls who speak french will be =40-24=16

Since there are 24 girls in total and out of them 16 speak french so the remaining girls speak german=24-16=8

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6 0
2 years ago
A population of rabbits in a lab, p(x), can be modeled by the function p(x) = 20(1.014)x , where x represents the number of days
Nitella [24]

Answer:

20 = initial population of the rabbits

1.014 = growth rate of the rabbits

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Step-by-step explanation:

A population of rabbits in a lab, p(x), can be modeled by the function

p(x) = 20(1.014)^x

This model is exponential. Where 20 = initial population of the rabbits

1.014 = growth rate of the rabbits with 1.4% increase rate of the rabbits

To find the average rate of change from day 50 to day 100,

find the population p(50) and p(100). Subtract them and divide by 100 - 50 = 50. 

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p(100) = 20(1.014)100 = 80.32... 

(80.32 - 40.08) / (100 - 50) = 40.24/50 = 0.8048. which is approximately 0.8 to the nearest tenth. 

The rate of change is 0.8. 

7 0
3 years ago
15) What is the measure, in degrees, of an angle that is equivalent to 3/360 of a circle
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There are exactly 360° in a circle, so the angle measure would be 3/360 * 360 = 3°.

5 0
3 years ago
In triangle NLM, point S is the centroid, QS = (3x – 5) cm, and NS = (4x) cm. What is NS? 5 cm 10 cm 20 cm 30 cm
son4ous [18]

Answer:

20 cm

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∴3x - 2x = 5

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∴ NS = 4 × 5 = 20 cm

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3 years ago
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