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STALIN [3.7K]
3 years ago
15

*i’m being timed so pls help me fast*

Mathematics
2 answers:
Alexandra [31]3 years ago
8 0
It’s a because it’s in a straight line and it’s repeating
Iteru [2.4K]3 years ago
3 0

Answer:

A

Step-by-step explanation:

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Find the area of a plane figure bounded by lines
natulia [17]

Answer: 4.5

<u>Step-by-step explanation:</u>

First, find the points of intersection by solving the system.

y = x² + 2x + 4

y = x + 6

Solve by substitution:

x² + 2x + 4 = x + 6   ⇒   x² + x - 2 = 0   ⇒   (x + 2)(x - 1) = 0   ⇒   x = -2, x = 1

Now, integrate from x = -2 to x = 1

\int\limits^1_2 {(x+6)-(x^{2}+2x+4) } \,    <em>the bottom of the integral is -2 </em>

= \int\limits^1_2 {x+6-x^{2}-2x-4 } \,

= \int\limits^1_2 {-x^{2}-x+2 } \,  

= \frac{-x^{3}}{3} - \frac{x^{2}}{2}+2x\int\limits^1_2 {} \,

= (\frac{-1^{3}}{3} - \frac{1^{2}}{2}+2(1)) - (\frac{-(-2)^{3}}{3} - \frac{(-2)^{2}}{2}+2(-2))

= (\frac{-1}{3} - \frac{1}{2} +2) - (\frac{8}{3} -\frac{4}{2} -4)

= \frac{-9}{3} + \frac{3}{2} +6

= -3 + 1.5 + 6

= 4.5


3 0
3 years ago
(PLEASE HELP)An elevator car in a skyscraper can hold at most 15 people. For safety reasons, each car can carry a
natali 33 [55]

Answer:

70x + 25y + 4x + 4y \leqslant 1500

where x = number of adults

y = number of children

and the extra weights of 4kg of each person.

8 0
2 years ago
Find the given term 11, -33,99 9th term
kvv77 [185]
Assuming the sequence goes on like this 11,-33,99,-297,891,...,
its general formula is a_n=-11\cdot(-1)^n\cdot3^{n-1}

So, the 9th term is
a_9=-11\cdot(-1)^9\cdot3^{9-1}=-11\cdot(-1)\cdot6561=72171
5 0
2 years ago
The cost of a council tax bill increased by 5%.
andreyandreev [35.5K]

The council tax bill before the increase is £1240

The equation that represents the percentage increase in council tax bill is :

percentage increase x t = £62

Where t represents the initial council tax bill - council tax bill before the 5% increase

5% x t = £62

0.05 x t = £62

Divide both sides of the equation by 0.05

t = £62 / 0.05 = £1240

To check if the answer derived is correct : 5% x 1240 = 62.

A similar question was answered here: brainly.com/question/12066598?referrer=searchResults

5 0
3 years ago
The sum of six times a number and thirteen is five less than the product of three and the number
Svetllana [295]

Answer:

1 and 1/3

Step-by-step explanation:

I got this because you can first take 13-5 which is 8 then you can divide 8 by 6 to get your final answer.

Hope this helps.

6 0
3 years ago
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