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kati45 [8]
2 years ago
12

Subtract and simplify: 3x(5x + 2) – 2(x2 + x – 1)

Mathematics
1 answer:
Lostsunrise [7]2 years ago
5 0

Answer:

Simplify the expression.

−2x2+13x+8

Step-by-step explanation:

Decimal Form:

x

=

7.06608438

…

,

−

0.56608438

…

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Use the distributive property to find an expression that is equivalent to <br> 2x(x + 7)-(3x +1)
zaharov [31]

Given expression:

     2x(x + 7)-(3x +1);

To distribute implies to spread a process equally in an expression. Often times, the distributive property is used for expressions inside parentheses;

  2x(x + 7)-(3x +1)  

  Distribute 2x over the first parentheses;

   the negative sign distributes over the second part

    = (2x² + 14x)  - 3x -1

    = 2x² + 14x -3x -1

    Add like terms;

    = 2x² + 11x -1

This expression  2x² + 11x -1 is equal to the given one

7 0
3 years ago
A snail climbs to the top of a coconut tree 18 meters high. In an hour it will climb 2 meters. But if it go 2 meters, it will sl
kumpel [21]

Answer:

The snail will reach the top of the coconut in 18 hours.

Step-by-step explanation:

If the snail will climb 2 meters in 1 hour but it will slip down one meter for every 2 meters climbed, then the distance traveled will be:

d = 2 m - 1 m = 1 m                                        

Since in 1 hour, it climbs 2 meters minus 1 meter, the time in which the snail will reach the top is:

t = \frac{1 h}{1 m}*18 m = 18 h      

Therefore, the snail will reach the top of the coconut in 18 hours.

I hope it helps you!                                          

5 0
2 years ago
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of this t
Lelechka [254]
8cm and 8cm.

Espero que esta respuesta te ayude.
4 0
3 years ago
A population of rabbits on a farm grows by 12% each year. Assume that this increase occurs as new baby rabbits at the beginning
jolli1 [7]

Answer:

a) r₁₂ = 104.36

In general, rₙ = arⁿ⁻¹

b)

- rabbit food consumed during the 10th year is approximately 832 pounds

- rabbit food consumed in total for the 1st through 10th years is approximately 5265 pounds

Step-by-step explanation:

Given that:

r1 = 30 and a farm grows by 12%

a = 30 and the common ratio r = 1.12

now

n           r

1        30.00

2       33.60

3       37.63

4       42.15

5       47.21

6       52.87

7       59.21

8       66.32

9       74.28

10      83.19

11       93.18

12      104.36

Therefore r₁₂ = 104.36

In general, rₙ = arⁿ⁻¹

b)

if each rabbit consume 10 lbs of rabbit food each year

n           r                food consumed(lbs)

1        30.00               300

2       33.60               336

3       37.63                376

4       42.15                422

5       47.21                472

6       52.87               529

7       59.21                592

8       66.32               663

9       74.28               743

10      83.19                832

total                          5265

Therefore, the rabbit food consumed during the 10th year is approximately 832 pounds

And the rabbit food consumed in total for the 1st through 10th years is approximately 5265 pounds

6 0
2 years ago
Solve the equation<br><br> 1.6=7.6-5(k+1.1)
zepelin [54]
7.6 - 5(k + 1.1) = 1.6

7.6 - 5(k + 1.1) - 7.6 = 1.6 - 7.6

-5(k +1.1) = -6

-5(k + 1.1) -6
-------------- = ---------
-5 -5

k + 1.1 = 6
-----
5

k + 1.1 - 1.1 = 6
----- - 1.1
5

k = 0.1
8 0
2 years ago
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